Answer:
y = (1/4)x + 2
Step-by-step explanation:
y - 4 = 1/4 (x-8)
y - 4 = 1/4(x) - 2
y = (1/4)x + 2
What is the condition that causes an infinite geometric series to have no sum? Explain why
this is true.
please help!!
Question 6 of 18
Solve px + 17 = 12 for x.
A. x=p-5
B. x = -5-p
O C. x=
29
p
O D. X--500
Answer:
x = - [tex]\frac{5}{p}[/tex]
Step-by-step explanation:
px + 17 = 12 ( subtract 17 from both sides )
px = - 5 ( isolate x by dividing both sides by p )
x = [tex]\frac{-5}{p}[/tex] = - [tex]\frac{5}{p}[/tex]
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-7, -8) and ( -4,0)
Answer:
approximately 8.5
Step-by-step explanation:
So you can use the distance formula: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\[/tex] which is derived from the Pythagorean theorem because normally x2-x1 would kind of give the distance length between x2 and x1 except sometimes it would be negative which wouldn't make much sense right? but it doesn't matter because it's being squared so the value ultimately becomes positive, and the same thing goes for the y-value. the distance between x2 - x1 really represents the base and y2-y1 represents the height and then adding them together gives the hypotenuse squared which is why you take the square root over the entire thing to find the distance, since the hypotenuse is the shortest distance between two points
Now all you have to do is plug the values in to get
[tex]\sqrt{(-7 - (-4))^2 + (-8 - 0)^2}\\\sqrt{(-3)^2 + (-8)^2}\\\sqrt{9 + 64}\\\sqrt{73}\\distance \approx 8.5[/tex]
Which point is a solution to the inequality shown in this graph?
Find the missing side the side of the triangle help
Answer: X = 12.1 units
Step-by-step explanation:
Solving the side x of the triangle just requires the Pythagorean theorem.
x^2 + 7^2 = 14^2
x^2 + 49 = 196
subtract 49 on both sides, to cancel the 49 on the left side.
x^2 = 147 units
extract the square root of each side.
X = 12.1 units
Hope I Helped!
Julissa works in the warehouse of a large online retailer. On Tuesday from 9:00 a.m. to 3:00 p.m., she found that she had walked 20,458 steps preparing orders to be shipped. Approximately how many steps did she walk each hour?
3,409.6 steps
3,409.ModifyingAbove 6 with bar steps
4,091.6 steps
4.091.ModifyingAbove 6 with bar steps
The number of steps that Julissa walked each hour is 3409.6 steps per hour.
How to calculate the number of hours?According to this question, Julissa works in the warehouse of a large online retailer. She walked 20,458 steps on Tuesday from 9:00 a.m. to 3:00 p.m.
9:00 a.m to 3:00pm is 6 hours difference. This means that Julissa walked 20,458 steps in 6 hours.
Therefore, Julissa walked 20,458 steps ÷ 6 = 3409.6 steps per hour.
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Answer:
it's A
Step-by-step explanation:
what is the length of DE?
Please help will mark brainliest
Answer: y = -2/3x+23/3
Step-by-step explanation:
Parallel is the key point here. They gave points (7,3), 7 is the x value, 3 is the y value.
Take your equation
y = -2/3x+3 and substitute the 7 for the x value and 3 for the y value.
Like this...
3 = -2/3(7)+b
3 = -14/3 +b
Add 14/3 to 3
The answer is 23/3
So y = -2/3x+ 23/3
***Don't change -2/3 because it's asking for parallel***
***If 2 lines are parallel their slopes are equal***
( 64 ) -2/3 x ( 27 ) -2/3
.7bar8 into a fraction in simplest form
The number 0.7 / 8 is given by the fraction 7 / 80 when expressed in its simplest form
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
A fraction in its simplest terms is given as a/b, where a is the numerator and b is the denominator.
Hence:
0.7 / 8 = 7 / 80
The number 0.7 / 8 is given by the fraction 7 / 80 when expressed in its simplest form
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Measure of angle AEB= ___ degrees
m
m< ACB= ___ degrees
(Picture is attached below :) )
By the inscribed angle theorem, [tex]m\angle AEB=30^{\circ}[/tex] and [tex]m\angle ACB=30^{\circ}[/tex].
Ly has 3 more dime than nickels and twice as many quarters than dimes. the value of his coins is $9.60. how many of each coin does he have?
Ly has 15 dimes, 12 nickels and 30 quarters given that he has 3 more dime than nickels and twice as many quarters than dimes and the value of these coins is $9.60. This can be obtained by giving variables to each represent the number of each coin and adding the values to equate with the total value of coins.
How many of each coin does he have?Let number of dimes be y
Given that,
3 more dime than nickels ⇒ Number of nickel = y - 3
twice as many quarters than dimes ⇒ Number of quarters = 2y
Value of one dime = $ 0.1 Value of one nickel = $ 0.05Value of one quarter = $ 0.259.60 = 0.1y + 0.05(y-3) + 0.25(2y)
9.60 = 0.1y + 0.05y - 0.15 + 0.5y
9.60 = 0.1y + 0.05y - 0.15 + 0.5y
9.60 + 0.15 = 0.65y
y = 9.75/0.65 = 15
y = 15
Therefore the number of each coin,
Number of dimes = y = 15Number of nickel = y - 3 =15-3 = 12Number of quarters = 2y =2×15 =30Hence Ly has 15 dimes, 12 nickels and 30 quarters given that he has 3 more dime than nickels and twice as many quarters than dimes and the value of these coins is $9.60.
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Yosef drove 12,900 miles last year. His truck's fuel efficiency averages 15 mpg, and the average cost of gas last year was $2.95 per gallon. Determine Yosef's average weekly fuel cost
Yosef's average weekly fuel cost would be $2537.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Yosef drove 12,900 miles last year. His truck's fuel efficiency averages 15 mpg.
Karla used 12900/15 = 860 gallons to drive 12900 miles.
The average cost of gas last year was $2.95 per gallon.
Therefore, Yosef's average weekly fuel cost would be
2.95 x 860 = $2537
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The measure of one a cite angle of a right triangle is 6 less than twice the measure of the other acute angle find the measure of each acute angle . Help quickly please
Answer:
32°, 58°
Step-by-step explanation:
Let one acute angle measure x.
The other acute angle measures 2x - 6.
The sum of the measures of the acute angles of a right triangle is 90.
x + 2x - 6 = 90
3x - 6 = 90
3x = 96
x = 32
2x - 6 = 2(32) - 6 = 58
Answer: 32°, 58°
A machine fills bags with sweets.
There are 4275 sweets.
There are 28 sweets in each full bag.
The machine fills as many bags as possible.
How many sweets are left?
Answer:
19
Step-by-step explanation:
Given:
Total number of sweets = 4275Number of sweets per full bag = 28To find how many full bags of sweets the machine can fill, divide the total number of sweets by the number of sweets per full bag:
⇒ 4275 ÷ 28 = 152.6785714...
Therefore, the machine can fill 152 full bags.
To calculate how many sweets are left, subtract the product of the number of full bags and the number of sweets per bag from the total number of sweets:
⇒ 4275 - (152 · 28)
⇒ 4275 - 4256
⇒ 19
Therefore, there are 19 sweets left after the machine has filled as many bags as possible.
Write an equation for the ellipse centered at the origin with a major axis 14 units long with co-vertices at (2, 0) and (-2, 0).
a. x^2/14 + y^2/8 = 1
b. x^4/2 + y^4/49 = 1
c. x^2/4 + y^2/49 = 1
d. x^2/7 + y^2/2 = 1
The equation for the ellipse centered at the origin is C. x²/4 + y²/49 = 1.
How to illustrate the information?Let the equation of the ellipse be:
x²/b² + y²/a² = 1
The co vertices are at (2, 0) and (-2, 0). The major axis is 14 units. Therefore, 2a = 14. This implies that a = 7 and a² = 7 × 7 = 49.
Therefore, since x²/b² + y²/a² = 1, this will be x²/4 + y²/49 = 1.
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find the value of x in the following parallegram 2x-10 2x+50
The value of x would be 35.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
In order to calculate the value of x in the parallelogram, we have to find the following;
Let ∠m = 2x - 10
∠n = 2x + 50
So, ∠m + ∠n = 180
2x-10 + 2x+50 = 180
4x + 40 = 180
4x = 180 - 40
4x = 140
x = 35
Hence, the value of x is 35.
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When the birth rate in a population is greater than the death rate, the population will generally __________.
1. none of the choices
2. decrease
3. increase
4. not change
Answer:
3. Increase
Step-by-step explanation:
If more people are being born compared to the number of deaths, then you have population growth.
Answer:
3. increase
Explanation:
When birth rate is higher than the death rate, it is called natural increase.
The formula for natural increase is:
[tex]natural \space\ increase = \frac{Crude \space\ Birth \space\ Rate \space\ - \space\ Crude \space\ Death \space\ Rate}{100}[/tex]
Which parabola will have one real solution with the line y = x - 5?
Answer:
y=x^2+7x+4
Step-by-step explanation:
because the sign before x^2 is positive, the graph would concave up, if there's only one intercept, it has to be the vertex. the vertex is the critical point.
solve every make the derivative of each function equals zero, you get the x where the vertex shall be, then get this"x" into y=x-5 see if the y in y=x-5 is equal to y=x^2+6x+9 or other options.
let me give u an example.
for y=x^2+x-4, the critical point shall be 2x+1=0,x=-1/2, and the y is -4.25,
if you plug x=-1/2 into y=x-5, it's -5.5, -5.5 doesn't equal to -4.25
Answer:
D
Step-by-step explanation:
y = x2 + 7x + 4
Subtract 7x+27x+2 from -5x^2-2x−5x 2 −2x.
Simplified value of subtraction of 7x+27x+2 from -5x^2-2x−5x 2 −2x. is [tex]-10x^{2} -38x-2[/tex].
Given Expressions 7x+27x+2 and -5x^2-2x−5x 2 −2x.
Expressions refers to the combination of numbers, variables and symbols. It represents the relationship between variables. They are solved for finding out the value of variables. It is mainly not in equal to form. Subtraction is possible when subtracting the coefficients of same variable.
We have to subtract 7x+27x+2 from -5x^2-2x−5x 2 −2x. and to do this we need to first solve the expressions itself.
7x+27x+2=34x+2------------------1
[tex]-5x^{2} -2x-5x^{2} -2x[/tex]=[tex]-10x^{2} -7x-2x[/tex]--------------------2
Now subtract 1 from 2
=[tex]-10x^{2} -7x-2x[/tex]-34x+2
=[tex]-10x^{2} -38x-2[/tex].
Hence the simplified value of subtraction is [tex]-10x^{2} -38x-2[/tex].
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On a coordinate plane, triangle A B C is shifted 4 units up and 3 units to the left to form triangle A prime B prime C prime.
Use the figure to identify the correct rule for the translation.
(x, y) Right-arrow (x – 3, y + 4)
(x, y) Right-arrow (x + 3, y – 4)
(x, y) Right-arrow (x – 4, y + 3)
(x, y) Right-arrow (x + 4, y – 3)
In accordance with the definitions of rigid transformation and translation, the correct rule for the translation is defined by (x, y) → (x - 3, y + 4). (Right choice: A)
How to derive the mathematic expression behind a transformation rule
Mathematically speaking, transformations are rigid transformations that are modelled according to the following formula:
P'(x, y) = P(x, y) + (h, k) (1)
Where:
P(x, y) - Original pointP'(x, y) - Resulting pointh - Horizontal rightward translationk - Vertical upward translationHence, a leftward translation indicates that h < 0. The correct rule for the translation is defined by (x, y) → (x - 3, y + 4).
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Answer:
a
Step-by-step explanation:
the picture
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
The solution will be a number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Inequality expressionInequalities are equations that are separated by an equal sign. Given the inequality expression
3(8 – 4x) < 6(x – 5)
Expand
3(8) - 3(4x) < 6x - 6(5)
24 - 12x < 6x - 30
Collect the like terms
-12x - 6x < -30 - 24
-18x < -54
x > 3
Hence the solution will be a number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
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Charlie's Pizzeria made 11 thin-crust pizzas and 24 thick-crust pizzas. What is the ratio of the number of thin-crust pizzas to the total number of pizzas? Charlie's Pizzeria made 11 thin - crust pizzas and 24 thick - crust pizzas . What is the ratio of the number of thin - crust pizzas to the total number of pizzas ?
Answer:
11:37
Step-by-step explanation:
11 thin-crust pizzas
11+24=37 total pizzas
=>11:37
What is cos (A)?
Pls help!!
What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x 8, and what does it mean about the number of real solutions the equation has?
The value of discriminant [tex]b^{2} -4ac[/tex] of the equation [tex]-2x^{2} -3x+8=0[/tex] is equal to 73.
Given equation [tex]-2x^{2} -3x+8=0[/tex] and we have to find the value of determinant and the number of roots of the equation.
Determinant is the quantity that depends on the coefficients of variables.
To find out the value of determinant we have to put the values in [tex]b^{2} -4ac[/tex] in which b=-3, a=-2 and c=8
[tex]b^{2} -4ac[/tex]=[tex]-3^{2} -4*(-2)*8[/tex]
=9+8*8
=9+64
=73
And because the value of discriminant is one so the number of real solution that [tex]-2x^{2} -3x+8=0[/tex] is 2. If the discriminant is equal to zero then there is exactly one real root.
Hence the value of determinant of the equation [tex]-2x^{2} -3x+8=0[/tex] is 73.
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can somebody help me with this
The sum of the expression (–x² + x) and (x² – 3x – 1) will be –2x – 1. Then the correct option is D.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression can be written as
(–x² + x) and (x² – 3x – 1)
Then the sum of the expression (–x² + x) and (x² – 3x – 1) will be
(–x² + x) + (x² – 3x – 1) = –2x – 1
Then the correct option is D.
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The function y=-x-3 is graphed only over the domain of (x1-8≤x≤ 8). What is the range of the graph?
O (v1-5≤ y ≤5)
O y 1-5 ≤ y ≤-1}
O (y|1 ≤ y ≤5}
Oy|1 ≤ y ≤-1)
Answer:
B) [tex]-5\leq y\leq -1[/tex]
Step-by-step explanation:
The range is the lowest point to the highest point on the graph.
Remember this:
1. domain (x-axis) LEFT –> RIGHT
2. range BOTTOM (y-axis) –> TOP
when this equation is graphed over the domain, it limits the range to being (8,–5) and (–8,–1) and since with range you only look at the y-coordinates that means that the range is [–5,–1]
Pleaseeeee helppppp asap
This shows that the food will only last 1 1/3 meals
Fractions and proportionsFractions are written as a ratio of two integers. Given the following
Total pounds of food bought = 24 pounds
Amount fed each per meal = 3/4 * 24 pounds = 18 pounds
Remains = 24 - 18
Remaining = 6 pounds
This shows that the food will only last 1 1/3 meals
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The graph of a function g is shown below
Answer:
(a) x = 0
(b) g(2) = -5
Step-by-step explanation:
Another way of representing g(x) is with the variable "y". In other words, the value of g(x) is the value on the y-axis (vertical axis).
(a) The question is asking you to give the "x" value when the line crosses y = -4. The only value which satisfies this is x = 0.
(b) When 2 is placed inside the parentheses of g(x), it is asking you to find the "y" value of the line at x = 2. The only value which satisfies this is y = -5.
Find m∠1. lol yeah that's it
The two inside angles add up to the external angle's total. The m∠1 will be 69°. Option D is correct.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
From the exterior angle property, the sum of the exterior angle is the sum of the two interior angles.
The m∠1 will be 69°.
Hence, option D is correct.
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