Answer:
-2
Step-by-step explanation:
The solution to the system of equations is (x, y) = (-2, 1).
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The second equation tells us that x = -2.
Substituting this value into the first equation, we get:
y = -2 + 3
Simplifying, we get:
y = 1
Therefore,
The solution to the system of equations is (x, y) = (-2, 1).
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What are the variables in this expression? f + 2 g + startfraction h over 4 endfraction minus 7 f and g only g and h only f, g, and negative 7 only f, g, and h only
The correct answer is f, g, and h only.
What is variable ?
In Math, a variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. The variables are specially used in the case of algebraic expression or algebra. For example, x+9=4 is a linear equation where x is a variable, where 9 and 4 are constants.Given,
expression f + 2g + h/4 - 7
So, in this expression g, f and h are variables.
We can see that in our given expression g, f and h are unknown, therefore, these are variables for our given expression.
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The correct question is -
What are the variables in this expression?
f + 2g + h/4 - 7
A) f and g only
B) g and h only
C) f, g, and -7 only
D) f, g, and h only
A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15.
Predict which statements are true about the intervals of the continuous function. Check all that apply.
f(x) > 0 over the interval (−, 3).
f(x) ≤ 0 over the interval [0, 2].
f(x) < 0 over the interval (−1, 1).
f(x) > 0 over the interval (–2, 0).
f(x) ≥ 0 over the interval [2, ).
The true statements about the function are:
f(x) ≤ 0 over the interval [0, 2].f(x)>0 over the interval (-2,0)f(x) ≥ 0 over the interval [2,∞)How to determine the true statement?The complete question is in the image
From the table, the function values do not exceed 0 at the interval 0 to 2.
This means that f(x) ≤ 0 over the interval [0, 2].
Also from the table, the function values exceeds 0 at the intervals greater than -2 but less than 0
This means that f(x)>0 over the interval (-2,0)
Also from the table, the function values are at least 0 at the intervals greater than 2
This means that f(x) ≥ 0 over the interval [2,∞)
Hence, the true statements are (b), (d) and (e)
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Which best describes the circumcenter of a triangle?
A. The point where the three medians of the triangle intersect
B.The point where the three angle bisectors of the triangle intersect
C.The point where the perpendicular bisectors of the three sides of the triangle intersect
D.The point where the three altitudes of the triangle intersect
Answer:
C. The point where the perpendicular bisectors of the three sides of the triangle intersect.
Step-by-step explanation:
A number of centers of a triangle are defined. The circumcenter is the center of the circumscribing circle. The incenter is the center of an inscribed circle. The centroid is the center of balance of a triangle of uniform mass density.
Center definitionsThe centers defined by descriptions A through D are ...
A. centroid -- coincident point of medians
B. incenter -- coincident point of angle bisectors
C. circumcenter -- coincident point of side perpendicular bisectors
D. orthocenter -- coincident point of altitudes
You have a spinner that generates random numbers that are uniform between 0 and 1. You sum the spins until the sum is greater than one. What is the expected number of spins
These are the expected numbers of spins that is P(N=n)=n−1/n!
According to the statement
Let N is the number of spins AND
Let S is the sums of spins until the sum is greater than one.
we know that the For N=1, P(S) = 0.
The value of expected random variables are
E(X)=μ=∑xP(x).
Put all the integers values in it and integrate.
According to statement condition the expected number of variables become
P(N=n)=P(Sn−1<1≤Sn)
P(N=n)= P(Sn−1 < 1) - P(Sn <1)
P(N=n)=1/(n−1)!−1/n!
P(N=n)=n−1/n!
So, these are the expected numbers of spins that is P(N=n)=n−1/n!
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Parallel lines q and q are cut by transversal r forming 4 angles at each intersection. At the intersection of lines r and q, clockwise from top left, the angles are: 1, 2, 4, 3. At the intersection of lines r and s, clockwise from top left, the angles are: 5, 6, 8, 7.
Use the diagram to complete the statements.
Angles 1 and 5 are
because they are
angles.
Angles 4 and 6 are (blank)
because they are (blank)
angles.
The complete statements for the angles as in the task content are:
Angles 1 and 5 are congruent because they are corresponding angles.Angles 4 and 6 are congruent because they are alternate angles.Which statements about the angles are correct?It follows from the task content that the arrangement involves two parallel lines q and s which are cut by transversal line r.
On this note, according to the description in the task content, the angles formed at the intersections are related as follows;
Angles 1 and 5 are congruent because they are
corresponding angles.
Angles 4 and 6 are congruent because they are alternate angles.
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A post office always charges a flat one-time fee for any order. One time, Michael sent 35 letters and paid $26.00. The next time, he sent 18 letters and paid $14.10. How much does the post office charge to send one letter? What is the flat fee?
Answer:
$0.70 per letter, $1.50 flat fee
Step-by-step explanation:
Let x be the flat fee.
Let y be the cost of sending 1 letter.
Lets create 2 equations from those 2 instances.
First Instance: x + 35y = 26 - Equation 1
Second Instance: x + 18y = 14.1 - Equation 2
To find x and y , we can use elimination method in solving simultaneous equations.
Equation 1 - Equation 2
x - x + 35y - 18y = 26 - 14.1
17y = 11.9
y = [tex]\frac{11.9}{17} \\[/tex]
= $0.70
Now we substitute y into equation 1.
x + 35(0.70) = 26
x + 24.50 = 26
x = 26 - 24.50
= $1.50
From the above we know the post charges $0.70 per letter sent and charges $1.50 flat fee.
If (4x-y,x-4y):(3,-3y) then find the value of x and y? please help me!
Answer:
x=1y=1Step-by-step explanation:
This looks like it is intended to represent two equations. They can be solved as a system in any of the usual ways.
The two equations seem to be ...
4x -y = 3x -4y = -3ySolutionAdding 4y to the second equation gives ...
x -4y +4y = -3y +4y
x = y . . . . . . . . simplify
Substituting for y in the first equation gives ...
4x -x = 3
3x = 3 . . . . simplify
x = 1 . . . . . divide by 3
y = 1 . . . . . same as x
The variables x and y both have a value of 1.
__
The attachment shows a graphical solution to these equations.
Order the steps to solve the equation
log(x2 − 15) = log(2x) form 1 to 5.
x2 − 2x − 15 = 0
correct answers
2
5
1
4
3
on edge 2022
Potential solutions are −3 and 5
x2 − 15 = 2x
x − 5 = 0 or x + 3 = 0
(x − 5)(x + 3) = 0
The order of steps to solve the equation are;
x^2 − 15 = 2x
(x − 5)(x + 3) = 0
x − 5 = 0 or x + 3 = 0
Potential solutions are −3 and 5
Logarithm functionsLogarithm expressions are inverse of an exponential function. Given the logarithm expression shown below:
log(x^2 − 15) = log(2x)
Cancel the log on both sides
x^2-15 = 2x
Equate to zero
x^2-2x-15 = 0
Factorize
x^2 -5x + 3x -15 = 0
x(x-5)+3(x-5) = 0
(x-5)(x+3) = 0
Find the solution
x - 5 = 0 or x + 3 = 0
Potential solution are 5 and -3
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The graphs of f(x) and g(x) are shown below:
Graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 5, 0.
If f(x) = (x + 7)2, which of the following is g(x), based on the translation? (1 point)
g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x − 9)2
g(x) = (x − 5)2
Answer: [tex]g(x)=(x-5)^2[/tex]
Step-by-step explanation:
The graph of g is the graph of f translated 2 units to the right, so its equation is [tex]g(x)=(x-5)^2[/tex]
Solve the system of equations. 5x y = 9 3x 2y = 4 (−2, 5) (1, 4) (2, −1) (4, −4)
The solution of the system of equations that is given is (2,-1).
Given a system of equations are 5x+y=9 and 3x+2y=4.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.
The given equations are
5x+y=9 ......(1)
3x+2y=4 ......(2)
Here, the substitution method is used to solve the system of equations.
Find the value of y from equation (1) by subtracting 5x from both sides.
5x+y-5x=9-5x
y=9-5x
To find the value of x substitute the value of y in equation (2).
3x+2(9-5x)=4
Apply the distributive property a(b+c)=ab+ac as
3x+2×9-2×5x=4
3x+18-10x=4
Combine the like terms on the left side as
-7x+18=4
Subtract 18 from both sides and get
-7x+18-18=4-18
-7x=-14
Divide both sides by -7 and get
(-7x)÷(-7)=(-14)÷(-7)
x=2
Substitute the value of x in equation (1) and get
5(2)+y=9
10+y=9
Subtract 10 from both sides
10+y-10=9-10
y=-1
Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).
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PLEASE HELPPP I REALLY NEED IT ASAP :C
(the question is in the file)
Answer:
D
Step-by-step explanation:
quadratic formula
Answer:
I hope this is helpful. I had done my calculations and got the answer. The last part in orange is the answer. Your going to have to simplify.
The distance between earth and moon is 384000000 m. this distance can be expressed as ____m
This distance can be expressed as 3.84× [tex]10^{8}[/tex] m.
What is distance with example?
Distance is a scalar quantity. The distance of an object can be defined as the complete path travelled by an object.Given the distance between the earth and the moon is 384000km
Representing in exponential notation,
=384000×1000m [∵1km=1000m]
=384× [tex]10^{6}[/tex] m
=3.84× [tex]10^{8}[/tex] m
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The correct question is -
The distance between the Earth and the moon is approximately 384000 km. this distance can be expressed as ____m.
1. Try It # 1 A company sells doughnuts. They incur a fixed cost of $25,000 for rent, insurance, and other expenses. It costs $0.25 to produce each doughnut.
b. Find and interpret the y-intercept.
Answer:
The y-intercept is 25000 . The intercept is the fixed cost of the doughnut selling company.
Step-by-step explanation:
In the question, it is given that the fixed cost is $25000 and the expense to produce each doughnut is $0.25.
It is required to find and identify the y intercept.
To do so, use the equation derived in previous part of the exercise to interpret the slope. Compare the equation with standard equation of the line.
Step 1 of 1
The total cost of the company is the sum of fixed cost and the expenses for the doughnut, C=0.25x+25000.
Compare the equation with general linear equation y=mx+c.
The y-intercept is 25000 .
The intercept is the fixed cost of the doughnut selling company.
The total length of three fence panels is 5.4 m.
Work out the total length of ten fence panels.
Multiplication is the process of multiplying. The length of the 10 fence panels is 18 meters.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given the length of three fence panels is 5.4 meters.
The lenght of each length panel = 5.4m/3 = 1.8 meter
The length of 10 fence panel = 1.8 meter×10 = 18 meter
Hence, the length of the 10 fence panels is 18 meters.
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help please!!
asap no wrong answers
will give the crown symbol
Answer:
4Hz
Step-by-step explanation:
Standard form of a sine or cosine function,
y = acos(b(x+c))
where a is the amplitude, b is the value to find the period. and c is the phase shift.
Period = \frac{2\pi}{b}
From the equation given in the question,
[tex]y = 3cos(8\pi \: t + \frac{\pi}{2} ) \\ y = 3cos(8\pi(t + \frac{1}{16} )) \: \: (factorising \: 8\pi \: out)[/tex]
We can see:
Amplitude = 3,
Period = \frac{2\pi}{8\pi} = 1 / 4
Phase Shift = 1 / 16
Now we want to find the frequency.
Frequency = 1 / Period
= 1 / (1/4)
= 4Hz
Answer:
[tex]\displaystyle 4[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Acos(Bx - C) + D[/tex]
When working with a trigonometric equation like this, always remember the information below:
[tex]\displaystyle Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]
So, the first procedure is to find the period of this graph, and when calculated, you should arrive at this:
[tex]\displaystyle \boxed{\frac{1}{4}} = \frac{2}{8\pi}\pi[/tex]
You will then plug this into the frequency formula, [tex]\displaystyle T^{-1} = F.[/tex] Look below:
[tex]\displaystyle \frac{1}{4}^{-1} = F \\ \\ \boxed{4 = F}[/tex]
Therefore, the frequency of motion is four hertz.
I am delighted to assist you at any time.
What is the intermediate step in the form (x+a)^2=b(x+a)
2 =b as a result of completing the square for the following equation?
x²-4x=45
The intermediate step of x² - 4x = 45 is (x- 2)² = 49
How to determine the intermediate step?The equation is given as:
x² - 4x = 45
Take the coefficient of x
k = -4
Divide by 2
k/2 = -2
Square both sides
(k/2)^2 = 4
Add 4 to both sides of x² - 4x = 45
x² - 4x + 4= 45 + 4
This gives
x² - 4x + 4= 49
Express as perfect square
(x- 2)² = 49
Hence, the intermediate step of x² - 4x = 45 is (x- 2)² = 49
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HELP ASAP PLEASE!!))
Find the area (in square units) of the circle with center O and radius 12 units long. Round your answer to the nearest whole number. (Enter only a number as your answer .)
To calculate the area of a circle, we use the formula : [tex]\pi r^{2}[/tex], where r is radius.
We replace the numebrs : 144[tex]\pi[/tex] = 452,389342.... = 452 (rounded)
So, the area of this circle is 452 (and whatever units)
Answer:
Area of circle = 452 units²
Step-by-step explanation:
We can use the following formula to calculate the area of a circle:
Area = π r²
where r = radius of circle (12 units)
Substituting into the formula:
Area = π × (12)²
= π × 144
= 452.39
= 452 units² (rounded to the nearest whole number)
ASAP WILL GIVE BRAINLIEST
Which do you prefer: leaving 5–√ in radical form, or converting it to a decimal? Why? When would it be useful to use each?
Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand. Please be aware we are looking for YOUR PERSONAL OPINION and there is not a single “correct answer.”
The preference is that ✓5 should be left in radical form as an irrational number.
What is radical form?It should be noted that a radical form is illustrated when n is a positive integer that is greater than 1.
Here, a rational number is a number that can be represented in the form of p/q where p and q are integers. In this case, ✓5 will nvwe give a perfect number in decimal form. Hence, it's better to leave it radical form.
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PLEASE HELP
place the figure in a coordinate plane and find the indicated length
an isosceles triangle with a base length of 60 units and a height of 50 units; find the length of one of the legs
Thanks
The length of one of the legs says line AC is 58.31.
How do we place a figure in a coordinate plane?A figure can be placed in a coordinate plane on the graph by determining the coordinate of the vertices.
For the given isosceles triangle with:
The base length of 60 units and A height of 50 units.The coordinate of the vertices are:
∠A = (0,0)∠B = (60, 0)∠C = (30, 50)The length of one leg is calculated as follows:
[tex]\mathbf{AC= \sqrt{(50-0)^2+(30-0)^2}}}[/tex]
AC = [tex]\mathbf{\sqrt{2500+900}}[/tex]
AC = [tex]\mathbf{\sqrt{3400}}[/tex]
AC = 58.31
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Suppose that 15% of the population of a country are unemployed women, and a total of 25% are unemployed. What percent of the unemployed are women
The percentage of unemployed women from the total percentage of unemployed is 60%
PercentagePercentage of unemployed women = 15%Total percentage of unemployed = 25%Percentage of the unemployed women from the total unemployed = 15% / 25% × 100
= 0.60 × 100
= 60%
Therefore, the percentage of unemployed women from the total percentage of unemployed is 60%
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help me i dont understand this U_U
A graph which represents a reciprocal relationship to the given graph would slope downward, which is in an opposite direction.
What is a reciprocal function?A reciprocal function can be defined as a type of function which comprises an algebraic expression in its denominator and a constant on its numerator such as: f(x) = 2/x.
In Mathematics, a reciprocal function is used when describing relationships that are inversely proportional to one other such as:
Time and speed.Stress and elasticity.As a general rule in Geometry, we can infer and logically deduce that a graph which represents a reciprocal relationship to the given graph would slope downward, which is in an opposite direction.
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Find the slant height x of the pyramid shown, to the nearest tenth.
6mm
7mm
7mm
Options:
A: 4.35
B: 9.2
C: 6.9
D: 3.
Answer:
C. 6.9
Step-by-step explanation:
Pretend this is a 2-d diagram and use the Pythagorean theorem.
Pythagorean theorem: a^2 + b^2 = c^2
a = 6 mm
b = 7/2 = 3.5 mm
c = x
6^2 + 3.5^2 = x^2
36 + 12.25 = x^2
48.25 = x^2
[tex]\sqrt{48.25} = \sqrt{x^2}[/tex]
x = 6.9
HI I need help
10Points
Answer:
13 × 14 = 182 yd^2
............................
Piko filled a box with 4 layers of cubes that measured one foot on each side. If the bottom of the box fit 6 cubes, what is the volume of the box?
The volume of the box is 216 ft cube.
How to find volume of a box?He filled a box with 4 layers of cubes that measured one foot on each side
The bottom of the box fit 6 cubes,
1 cube length = 1 ft.
Therefore,
volume of the box = 6³
Therefore,
volume of the box = 216 ft³
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helllppppppppppp please
Answer:
1st is y = -7x-58, 2nd is -89.
Step-by-step explanation:
First, the slope intercept for is y = mx+b. M is the slope, b is the y intercept. You know the slope is -7, so then just plug in the point for x, y and you'll get b = -58 once you cancel everything out.
So y = -7x-58.
For 27. just plug in the values. -3^3 is -27 * 3 which is -81 and then -12 and add 4 and you get -89.
Construct the graph of the equation given. Categorize this graph a horizontal or vertical line. Label the intercept as well as the axis on the graph.
x = -2.5
x = -2.5 is a vertical line. The vertical graph of the equation is shown in the image attached below.
What is the Equation of a Vertical Line?The slope of a vertical line is undefined, therefore, the equation of a vertical line is expressed as x = a, where a is the x-intercept.
Given x = -2.5, the equation suggests it is a vertical line, where the line intercepts the x-axis at -2.5, which is the x-intercepts.
Thus, the graph for x = 2.5 is shown in the diagram below.
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math!! please helpp!!!
What is the y intercept of the line below?
( i attached an image)
a) -3
b) 1/3
c) 4
d) (-1.5,0)
e) -1.5
f) (4,0)
g) 3
Answer:
C
Step-by-step explanation:
The exact point should be (0, 4) if you're looking for the Y intercept. I'm assuming that each square represents one unit. Hope I could help.
Answer:
c)4
Step-by-step explanation:
Hope it helps!!!
y= 4
x= 0
Student Council is selling t-shirts and hats for $21 and $14, respectively. The club needs to raise at least $2730. They have received pre-sale orders of 80 t-shirts and 40 hats. Graph a system of linear inequalities that shows the number of t-shirts and hats they must sell in order to reach their goal. Use x for the number of t-shirts and y for the number of hats.
Choose the graph that shows all the possible combinations. List two possibilities.
The required inequality is 3x + 2y > 390 and two possibilities is given by (100,45) and (80,75).
Student Council is selling t-shirts and hats for $21 and $14, respectively. The club needs to raise at least $2730.
What is inequality?Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.
Let x for the number of t-shirts and y for the number of hats.
Now,
equation for to raise at least $2730.
21x + 14y > 2730
3x + 2y > 390
Two possibility can be caroled out from the graph i,e. (100,45) and (80,75).
Thus, the required inequality is 3x + 2y > 390 and two possibilities is given by (100,45) and (80,75).
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the question is on the image
I literally have no idea how to do this someone help im dying
What is the solution to f(x) = g(x) if f(x) = 2x+24 and g(x) = 5(0.5)^x
We can solve this graphically, we will see that f(x) = g(x) when x = -2, so the solution is x = -2.
How to solve the system of equations?
We want to solve the system:
f(x) = g(x)
Where:
[tex]f(x) = 2x + 24\\\\g(x) = 5*(0.5)^x[/tex]
Replacing the functions, we get:
[tex]2x + 24 = 5*(0.5)^x[/tex]
Notice that on the left side x is a coefficient, while on the right side, it is an exponent, so this is really hard to solve with algebra.
But what we can do, is graph both functions, and see for which value of x the graphs do intersect.
Below you can see the graphs, the green one is f(x), the blue one is g(x).
There you can see that the graphs intersect at x = -2
This means that f(x) = g(x) only for x = -2.
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