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andrezito [222]
2 years ago
5

Use the vertex formula to find the vertex of the quadratic function f(x) = -x2 + 4x - 8.

Mathematics
1 answer:
Irina18 [472]2 years ago
8 0
The vertex of f(x)=-x2+4x-8 is (2, -4)
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A store makes a $0.45 profit on every toy they sell. If they made $237.15 in profit last month, how many toys did they sell?
iren2701 [21]

Answer:

527

Step-by-step explanation:

237.15/0.45 = 527

6 0
2 years ago
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Use the substitution method to solve the system of equations. <br> y=9x<br> x+2y=17
taurus [48]

x+2(9x)=17

x +18x =17

19x=17

19x/19 =17/19

x=17/19

5 0
3 years ago
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Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bott
SpyIntel [72]

Answer:

<em>Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2</em>

<em></em>

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = \frac{1}{2}bh

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A =  \frac{1}{2}*4*2.24 = 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = <em>8.96 ft^2</em>

For the rectangular sections of the roof, area is

A = lh

where l is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = <em>30 ft^2</em>

<em></em>

For the bottom face, area is

A = lw

where l is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = <em>20 ft^2</em>

<em></em>

Surface area of the roof of the dog kennel is

<em>8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2</em>

4 0
2 years ago
Please help for a big part of my grade
Reil [10]

Answer:The answer would be C-13

Step-by-step explanation:You would get C because you are going up 3 cubes every shape so 7 plus 3 is 10 then for the fifth shape 10 plus 3 is 13 and that is the finale answer

6 0
2 years ago
4 (-3x - 1) = 13x + 6
GarryVolchara [31]

Answer:

x=-2/5

Step-by-step explanation:

4(-3x-1)=13x+6 ~ Distribute the 4 into the parenthesis

-12x-4 = 13x+6 ~ add 12x to both sides

-4= 25x + 6  ~ subtract 6 from both sides

-10 =25x ~ divide by 25

-10/25 = x ~ simplify the fraction by dividing the num. and den by 5

-2/5 =x

4 0
2 years ago
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