NO LINKS!! URGENT HELP PLEASE!!!
Express the statement as an inequality part 8a^2
Answers
Answer:
(g) D, (h) A--------------------
Part (g)'At most' means less than or equal, therefore the quotient of p and q is:
p/q ≤ 6The matching choice is D.
Part (h)'At least' means more than or equal, therefore the reciprocal of w is:
1/w ≥ 9The matching choice is A.
Answer:
g) The correct option is: p/q ≤ 6
The phrase "the quotient of p and q" means p divided by q, which is expressed as p/q. The statement "the quotient of p and q is at most 6" means that the value of p/q cannot exceed 6, but it can be less than or equal to 6. Therefore, we use the less than or equal to a symbol (≤) to represent this statement.
here is an explanation of each option:
p/q = 6: This statement indicates that the quotient of p and q is exactly 6. In other words, p/q can only be equal to 6 and not less than or greater than 6.p/q ≥ 6: This statement indicates that the quotient of p and q can be equal to 6 or greater than 6. In other words, p/q can be any value that is greater than or equal to 6.p/q > 6: This statement indicates that the quotient of p and q can be greater than 6, but not equal to 6. In other words, p/q can be any value that is greater than 6.p/q ≤ 6: This statement indicates that the quotient of p and q can be equal to 6 or less than 6. In other words, p/q can be any value that is less than or equal to 6.p/q < 6: This statement indicates that the quotient of p and q can be less than 6, but not equal to 6. In other words, p/q can be any value that is less than 6.Here's how to express each statement as an inequality in terms of 8a^2:
p/q ≤ 6:
Multiplying both sides by q, we get:p ≤ 6q
Multiplying both sides by 8a^2, we get:8a^2p ≤ 48a^2q
Therefore, the inequality for p/q ≤ 6 in terms of 8a^2 is:8a^2p ≤ 48a^2q
h) The correct option is: 1/w ≤ 9
The reciprocal of a number w is 1/w. The phrase "the reciprocal of w is at least 9" means that the value of 1/w cannot be less than 9, but it can be greater than or equal to 9. Therefore, we use the less than or equal to symbol (≤) to represent this statement.
Here's an explanation of each option:
1/w ≥ 9: This statement indicates that the reciprocal of w is greater than or equal to 9. In other words, 1/w can be any value that is greater than or equal to 9.1/w < 9: This statement indicates that the reciprocal of w is less than 9. In other words, 1/w can be any value that is less than 9.1/w ≤ 9: This statement indicates that the reciprocal of w cannot be less than 9, but it can be greater than or equal to 9. In other words, 1/w can be any value that is greater than or equal to 9.1/w > 9: This statement indicates that the reciprocal of w is greater than 9. In other words, 1/w can be any value that is greater than 9.1/w = 9: This statement indicates that the reciprocal of w is exactly 9. In other words, 1/w can only be equal to 9 and not less than or greater than 9.Here's how to express each statement as an inequality in terms of 8a^2:
1/w ≤ 9:
Multiplying both sides by w, we get:1 ≤ 9w
Subtracting 1 from both sides, we get:0 ≤ 9w - 1
Multiplying both sides by 8a^2, we get:0 ≤ 72a^2w - 8a^2
Therefore, the inequality for 1/w ≤ 9 in terms of 8a^2 is:0 ≤ 72a^2w - 8a^2
Note that the inequality for 1/w ≤ 9 involves a quadratic term with respect to "w," whereas the inequality for p/q ≤ 6 only involves linear terms with respect to "p" and "q."
Related Questions
A particle moving in the horizontal direction has its position given by x(t). Find the expression for the velocity.
Ignore the pencil writing and red pen, just answer the printed answer.
Answers
The expression for the velocity is v(t) = 30m/s
Expression for the Velocity calculation(a) x(t) = 30t
The velocity is the derivative of the position function with respect to time:
v(t) = dx/dt
Since x(t) = 30t, we have:
v(t) = d/dt (30t)
= 30
So the expression for velocity is v(t) = 30 m/s.
(b) x(t) = 7sin(30)
The velocity is the derivative of the position function with respect to time:
v(t) = dx/dt
Since x(t) = 7sin(30), we have:
v(t) = d/dt (7sin(30))
= 7cos(30) * d/dt (30t)
= 3.5cos(30)
So the expression for velocity is v(t) = 3.5cos(30) m/s.
(c) x(t) = ecos(701)
The velocity is the derivative of the position function with respect to time:
v(t) = dx/dt
Since x(t) = ecos(701), we have:
v(t) = d/dt (ecos(701))
= -e sin(701) * d/dt (701t)
= -701e sin(701t)
So the expression for velocity is v(t) = -701e sin(701t) m/s.
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look at the picture below
Answers
The surface area of the composite solid is given as follows:
194 units squared.
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.
The prism in this problem is composed as follows:
Rectangular prism of dimensions 4, 7 and 3.Two right triangles of dimensions 4 and 3.One square of side length 5.One rectangle of dimensions 5 and 7.Hence the surface area of the prism is given as follows:
S = 2(4 x 7 + 4 x 3 + 3 x 7) + 4 x 3 + 5² + 5 x 7
S = 194 units squared.
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A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 17 years with a variance of 16 . If the claim is true, in a sample of 43 wall clocks, what is the probability that the mean clock life would be less than 17.9 years? Round your answer to four decimal places.
Answers
There is a 0.9830, or 98.30%, probability that the mean clock life will exceed 12.5 years.
What is probability?Probability is a metric used to express the possibility or chance that a particular event will occur.
Probabilities can be expressed as fractions from 0 to 1, as well as percentages from 0% to 100%.
Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.
The study of events that fit into a probability distribution is known as statistics.
So, the likelihood that the average clock life would exceed 12.5 years:
This is the p-value of Z when X = 12.5 subtracted by 1.
So,
Z = X - μ/σ
Z = 12.5 - 14/.07071
Z = -2.12
Z = The pvalue for -2.12 is 0.0170.
1 - 0.0170 = 0.9830
The likelihood that the mean clock life will be longer than 12.5 years is 0.9830, or 98.30%.
Therefore, there is a 0.9830, or 98.30%, probability that the mean clock life will exceed 12.5 years.
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Complete question:
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 14 years with a variance of 25. If the claim is true, in a sample of 50 wall clocks, what is the probability that the mean clock life would be greater than 12.5 years? Round your answer to four decimal places.
Substitute the supplied value and simplify both sides of the equation, if necessary. Then decide if the supplied value is or is not a solution.
m + 2(m + 1) = 14 {4}
Answers
The equation simplifies to 14 = 14, which is a true statement.
What is the purpose of the equation?In mathematics, an equation is defined as a set of numbers that contains operations and may contain a variable. Equations are used to solve for these unknown variables using various operations such as addition, subtraction, multiplication and division.
Replacing m by 4, we get:
m + 2 (m + 1) = 14
4 + 2 (4 + 1) = 14
4 + 2(5) = 14
4 + 10 = 14
14 = 14
The equation simplifies to 14 = 14, which is a true statement. Therefore, the given value 4 is a solution to Eq.
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A particular sawdust pile has a base diameter of 35 feet when the height is 30 feet. Find the volume of this sawdust pile when it is 40 feet high.
Answers
If the base diameter of the sawdust pile is 35 feet when the height is 30 feet, then when it is 40 feet high, the diameter will be 46.7 feet, while the volume will be 68,545.37 feet³.
What is the volumeThe volume refers to the capacity of a three-dimensional object.
The formula for volume with diameter and height is V = πd²h/4.
Base diameter of the sawdust pile = 35 feet
Height = 30 feet
Base diameter of the sawdust pile when the height is 40 feet = 46.7 feet
(35/30 x 40)
Given height = 40 feet
Computed base diameter = 46.7 feet
Volume = πd²h/4
= 22/7 x 46.7² x 40/4
= 3.143 x 2,180.89 x 10
= 68,545.37 feet³
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On January 1, 2024, Wright transportation sold four school buses to the Elmira School District. In exchange for the buses, Wright received a note requiring payment of $521,000 by Elmira on December 31,2026. The effective interest rate is 7%.
1. How much sales revenue would Wright recognize on January 1, 2024 for this transaction?
2. Prepare journal entries to record the sale of merchandise on January 1, 2024. (Omit any entry that might be required for the cost of the goods sold), the December 31,2024, interest accrual, the December 31,2025, interest accrual, and receipt of payment of the note on December 31,2026.
Answers
Using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.
What is sales revenue?Net sales, as used in bookkeeping, accounting, and financial accounting, refer to operating revenues received by a business from the sale of its goods or provision of its services.
They are directly recorded as Sales or Net sales on the income statement and are also referred to as revenue.
The net sales formula is rather simple in profit and sales transactions: net sales = gross sales - (return values + discount losses + sales taxes + allowances).
So, the sales revenue in the given situation would be:
According to the provided data, the sales revenue will be determined as follows:
= Value of note × PVF of receivable
= $528000 × 0.8638
= $456108
Therefore, using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.
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Correct question:
On January 1, 2021, Wright Transport sold four school buses to the Elmira School District. In exchange for the buses, Wright received a note requiring payment of $534,000 from Elmira on December 31, 2023. The effective interest rate is 6%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.). How many sales revenue would Wright recognize on January 1, 2020, for this transaction?
Is (-2, 10) a solution to this system of equations?
y = -4x + 2
y = -6x - 2
yes
no
Answers
To find the look at the following procedures
Y=-4x+2
Let -2 be x and 10 be y
10=-4(-2)+2
10=8+2
10=10
For the second equation
Y=-6x-2
10=-6(-2)-2
10=12-2
10=10
Please give me branliest please
Answer:
Yes
Step-by-step explanation:
(-2, 10)
x = -2
y = 10
y = -4x + 2
Substitute or plug in the x and y values
10 = -4(-2) + 2
Multiply(remember a negative times a negative is a positive)
10 = 8 + 2
Add
10 = 10
Because ten is equal to ten (-2, 10) is a solution for this part
Now take your next equation and repeat the same steps
y = -6x - 2
10 = -6(-2) - 2
10 = 12 -2
10 = 10
(-2, 10) is a solution to this system of equations
Which of the following gives the circumference, C, of a circle with a radius of 4?
OC 4T
OC=4T²
OC=8T
O C=16T
Answers
The circumference of a circle with a radius of 4 is 8π.
What is the circumference of a circle with a radius of 4?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is the distance around a circle or the length of a circle. It is expressed mathematically as;
C = 2πr
Where r is radius and π is constant pi.
Given that the radius of the circle is 4 units.
Plug into the above formula.
C = 2πr
C = 2 × π × 4
C = 8π
Therefore, the circumference is 8π.
Option C) 8π is the correct answer.
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Square Root Property
Answers
1. 9(18)^2=324 the first problem is that you multiply 9 by 18 twice then you add and you will get your answer
Can someone help me?
Answers
The surface area of the triangular prism is 235 cm²
How to solve an equation?An equation is an expression that uses mathematical operations to show how numbers and variables are related to each other.
The surface area of a triangular prism is gotten by adding the individual area of each surface.
For the triangular prism shown:
Surface area = 2(1/2 * 10 cm * 12 cm) + (10 cm * 5 cm) + 2(13 cm * 5 cm) = 235 cm²
The surface area is 235 cm²
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need help with this rational functions homework question
Answers
The sketch of the graph of y = 1/f(x) is added as an attachment
Sketching the graph of y = 1/f(x)To find the function equation, we need to determine the factors of the equation based on the zeros of the function.
Since the zeros of the function are at x = -5, -1, and 4, the factors of the equation will be:
(x + 5), (x + 1), and (x - 4)
Multiplying these factors together gives us:
f(x) = a(x + 5)(x + 1)(x - 4)
To find the value of the constant term a, we can use the fact that the graph passes through the point (0, -4):
-4 = a(0 + 5)(0 + 1)(0 - 4)
-4 = -20a
So, we have
a = 1/5
Therefore, the function equation is:
f(x) = 1/5(x + 5)(x + 1)(x - 4)
For the graph of y = 1/f(x), we have
y = 5/[(x + 5)(x + 1)(x - 4)]
See attachment for the graph
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A popular beach currently has 88 visitors, and 28 of them are sunbathing. What is the probability that a randomly chosen beachgoer is sunbathing? Write your answer as a fraction or whole number.
Answers
The probability that the randomly selected person is taking a sunbath is 7/22.
Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.
It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.
The possibility of an event occurring increases as it gets higher.
So, the probability formula is:
P(E) = Favourable events/Total events
Now, insert values in the formula as follows:
P(E) = Favourable events/Total events
P(E) = 28/88
P(E) = 14/44
P(E) = 7/22
Therefore, the probability that the randomly selected person is taking a sunbath is 7/22.
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The circular bases of the traditional teepees of the Sioux and Cheyenne tribes have a diameter of about 15 ft. What is the area of the base? Round to the nearest square unit.
A. 707ft2
B. 47ft2
C. 24ft2
D.177ft2
Answers
Answer:
D. 177 ft²
Step-by-step explanation:
the area of a circle is
pi×r²
r is the radius which is half of the diameter, of course.
so, in our case
area = pi×(15/2)² = pi×7.5² = pi×56.25 =
= 176.7145868... ft² ≈ 177 ft²
100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!
Answers
Answer: The height of the cone is [tex]12 \text{ units}.[/tex]
Step-by-step explanation:
We are given that [tex]L = \pi r \sqrt{r^2+h^2}.[/tex] Plugging in the given values of [tex]L[/tex] and [tex]r[/tex] yields:
[tex]65 \pi = 5 \pi \sqrt{25+h^2} \implies 13 = \sqrt{25+h^2}.[/tex]
Now, squaring each side of the equation, and then isolating [tex]h^2[/tex] gives us [tex]h^2=144[/tex], so [tex]\boxed{h=12}.[/tex] Note that [tex]h[/tex] cannot take any negative values because it is a side length.
The polynomial function f has exactly one positive zero. Approximate the zero correct to two decimal places.
f(x) = 2x² - 1
-16x³-3x²-8x-2
The positive zero of f is approximately
(Round to two decimal places as needed.)
Answers
Using a graphing calculator or software, we can plot the graph of the function f(x) and find the x-value where the graph intersects the x-axis (i.e., where f(x) = 0) and is positive. This x-value will be the approximate positive zero of the function f(x).
For the function f(x) = 2x² - 1, the positive zero can be found by setting f(x) = 0 and solving for x:
2x² - 1 = 0
2x² = 1
x² = 1/2
x = ±√(1/2)
Since we are looking for the positive zero, we take x = √(1/2) ≈ 0.71 (rounded to two decimal places).
For the function f(x) = -16x³ - 3x² - 8x - 2, we can also use a graphing calculator or software to find the positive zero. When we plot the graph of this function, we can see that the positive zero is between x = 0 and x = 1. We can then use a numerical method or trial-and-error to approximate the zero more accurately. One possible approximation is x ≈ 0.17 (rounded to two decimal places).
writ the rate in lowest terms can a printer print 5 pages in 10 seconds
Answers
Answer:
1/2 page per second
Step-by-step explanation:
5/10 ÷ 10/10 = .5/1 = .5 or 1/2 page per second.
Helping in the name of Jesus.
Please help I’ll upvote your work
Answers
The solution set of f(x) > 0 is x ∈ (-2, 8).
What is the set of the function?
To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.
Let's start by finding the domain of the function:
x² - 6x - 16 ≠ 0
We can solve for x by using the quadratic formula:
x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13
So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).
Now let's factor the numerator and denominator of f(x):
f(x) = (x + 10)/[(x - 8)(x + 2)]
The critical points occur where the numerator or denominator of f(x) changes sign.
The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.
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A rectangular container has a square base with an area of 25 square inches. The container had a height of 4 inches. What is the volume, in cubic inches, of the container?
Answers
The volume of the container is 100 cubic inches.
how can we calculate the volume of a rectangle?The volume of a rectangular container is calculated by multiplying its base area by its height. Since the base of the container is square with an area of 25 square inches, the length of each side of the square base is the square root of 25, which is 5 inches.
Therefore, the volume of the container can be calculated as follows:
Volume = Base Area × Height
Volume = 25 square inches × 4 inches
Volume = 100 cubic inches
So, the volume of the container is 100 cubic inches.
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In Math town,60% of the population are males and 30% of them have brown eyes. Of the total math town population 28 % have brown eyes. What percentage of the females in math town have brown eyes?
Answers
25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes
what is percent ?
A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".
In the given question,
Let's assume that there are 100 people in Math town.
60% of them are males, so there are 60 males and 40 females.
Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.
28% of the entire population have brown eyes, so there are 28 people with brown eyes.
To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:
28 - 18 = 10
So, there are 10 females with brown eyes.
Out of the 40 females in Math town, what percentage have brown eyes?
10 brown-eyed females out of 40 females is:
10/40 = 0.25 or 25%
Therefore, 25% of the females in Math town have brown eyes.
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URGENT Complete the table.
It is in the image below
Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
4=2×2
8=2×4
12=2×6
16=2×8
20=2×10
24=2×12
(07.03 MC)
Given the function h(x)=-2√x +3-1, which statement is true about h(x)?
Answers
Given the function h(x) = -2√(x + 3) - 1, the statement that is true about h(x) include the following: B. the function is decreasing on the interval (-3, ∞).
What is a decreasing function?For any given function, y = f(x), if the output value (range or y-value) is decreasing when the input value (domain or x-value) is increased, then, the function is generally referred to as a decreasing function.
For any given function, y = f(x), if the output value (range) is increasing when the input value (domain) is increased, then, the function is generally referred to as an increasing function.
By critically observing the graph of the given function, we can reasonably infer and logically deduce that it is decreasing over the interval (-3, ∞).
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The total cost of 10 sharpeners and 2 books is $26.10. if the cost of a sharpener is $a, and a book is $1.95 more expensive, find a.
Give your answer to two decimal places.
Answers
Therefore, a sharpening costs Dollar 1.85.
what is dollarThe US, Canada, Australia, and some nations in the Pacific, Caribbean, Southeast Asia, Africa, and South America all use the dollar as their primary unit of exchange. The word "$" is used to denote it.
Let's use $a for the sharpener's price. We can state that the price of a book is $a + 1.95 because it costs $1.95 more than a sharpening.
We are aware of the $26.10 total cost of 10 sharpeners and 2 books. This can be expressed as an equation:
10a + 2(a + 1.95) = 26.10
If we simplify this equation, we get:
12a + 3.90 = 26.10
3.90 less from each side results in:
12a = 22.20
By multiplying both sides by 12, you get:
a = 1.85
Therefore, a sharpening costs $1.85.
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Question 3: 13 of the 20 students in Mr Davidson's class are girls. Two students are chosen at random. 2nd student (a) Copy and complete the tree diagram (b) Work out the probability of two boys being selected. (c) Work out the probability of two girls being selected. CORBETTMATHS 2018 1st student boy girl boy girl boy girl outcome BB BG GB GG probability
Answers
Answer:
answer int he photos
Step-by-step explanation:
Answer:
This is a product rule and probablity question. b) 49/400
c) 169/400
Step-by-step explanation:
which of the following equations can be used to find the misssing angle x in triangle 42
Answers
The equation in the triangle to find x is x + 84 = 180.
Option B is the correct answer.
We have,
The sum of the angles in a triangle is 180.
And,
42 + 42 + x = 180
84 + x = 180
x = 180 - 84
x = 96
Thus,
The equation in the triangle to find x is x + 84 = 180.
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I really need help with this two please help to find x value and explain with reasons
Answers
In the first triangle, the angle x = 45°
In the second triangle, the angle y = 75°
In the second triangle, the angle x = 45°
How to find the angles in the triangles?To find the angles in the triangles, we proceed as folows.
a. In the first triangle, let the base angle to the left be p. We know that we have a parallelogram there.
Now, in the parallelogram,
102° + p = 180°sum of (interior angles of a parallelogram)
So, p = 180° - 102°
= 78°
Now, in the larger triangle,
x + p + 57° = 180° (sum of angles in a triangle)
Since p = 78°, we have that
x + 78° + 57° = 180°
x + 135° = 180°
x = 180° - 135°
= 45°
So, x = 45°
b. In figure 2, we have two isoceles triangles.
i. In the first triangle, both base angles are y.
So, y + y + 30° = 180° (sum of angles in atriangle)
2y + 30° = 180°
2y = 180° - 30°
2y = 150°
y = 150°/2
y = 75°
So, y = 75°
ii. In the second triangle also, both base angles are x and the other angle is a right angle which is 90°.
So, x + x + 90° = 180° (sum of angles in a triangle)
2x + 90° = 180°
2x = 180° - 90°
2x = 90°
x = 90°/2
x = 45°
So, x = 45°
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Find the measure of x in circle C shown below.
x =
(50 points will give brainiest for effort)
Answers
The measure of the value of x in the circle given is calculated as equal to: x = 12.
How to Find the Measure of x in the Circle?A semicircle is a two-dimensional shape that is half of a circle, consisting of a curved boundary or arc and a diameter or straight line segment that connects the two endpoints of the arc. This is always equal to 180 degrees.
Therefore, we have the equation:
12x + 6 + 3x - 6 = 180
Combine like terms:
15x = 180
Divide both sides by 15
x = 180/15
x = 12
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homework i need help tho fr appreciate it!
Answers
1. Axis of symmetry : x= -5 2. Axis of symmetry : x =2
Vertex: (-5, 1) Vertex: (2, 8)
Domain: (-∞, ∞) Domain (-∞, ∞)
Ranges: [1, ∞) Ranges (-∞, 8]
3. Axis of symmetry : x = 1 4. Axis of symmetry x = -4
Vertex (1, -1) Vertex = (-4 0)
Domain (-∞, ∞) Domain (-∞, ∞)
Ranges [-1, +∞) Ranges (-∞, 0]
For 4. y = -x² - 8x -16
Axis of symmetry
x = -b / (2a)
x = -(-8) / (2 × -1) = 8 / (-2) = -4
Vertex
y = -(-4)² - 8(-4) - 16
= -16 + 32 - 16
= 0 therefore Vertex is (-4, 0)
Therefore range function (-∞, ∞)
The above answers are for the questions below as seen in the picture
1) y = x² + 10x + 26 2. y = -2x² + 8x 3. y = x² - 2x
Axis of symmetry :
Vertex
Domain
Ranges
4. y = -x² - 8x -16
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Translate this sentence into an equation.
Answers
Answer:
24 + c = 40
C= Chau’s height
Chairs need to be set up for the audience members. You want to use. the fewest number of chairs and still meet these three additional condions.
• There are 23 rows of chairs.
• There are the same number of chairs in esch row.
• There are an even number of chairs in cads rom.
Based on the number of students expected to attend, design a plan to set up the chairs. State how many total chairs there are, and explain why your plan meets these conditions.
Answers
There must be 46 chairs in each row and total number of chairs are 1058
To meet the given conditions, we need to find a number that has the following properties:
It should be divisible by 2, as there are an even number of chairs in each row.
It should be divisible by 23, as there are 23 rows of chairs.
It should be the same number in each row.
The smallest number that satisfies these conditions is 46, which is the least common multiple of 2 and 23.
So, we need to set up 46 chairs in each row.
The total number of chairs required will be:
Total number of chairs = 23 rows x 46 chairs per row = 1058 chairs
Hence, the total number of chairs are 1058
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Is (2, 3) a solution to this system of equations?
y = -2x + 7
y = x + 1
yes
no
Answers
For the point (2, 3), we have x = 2 and y = 3. Substituting these values into the first equation, we get:
y = -2x + 7
3 = -2(2) + 7
3 = 3
This equation is true, so the point (2, 3) satisfies the first equation.
Substituting x = 2 and y = 3 into the second equation, we get:
y = x + 1
3 = 2 + 1
3 = 3
This equation is also true, so the point (2, 3) satisfies the second equation.
Since the point (2, 3) satisfies both equations in the system, we can conclude that it is a solution to the system. Therefore, the answer is yes.
Answer:
Yes.
Step-by-step explanation:
(2, 3) means we'll let x be 2 and y be 3. Let's solve both equations first:
y = -2x + 7
3 = -2(2) + 7
3 = -4 + 7
:. 3 = 3
Okay, so one half is proven. Let's do the other half now.
y = x + 1
3 = 2 + 1
3 = 3
:. (2,3) is a solution to the system of equations.