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Usimov [2.4K]
3 years ago
8

F(x)=x+7 g(x)=4x^2-9 h(x)=-2x+1 what is the value of g(f(-2)

Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

g(f(- 2)) = 91

Step-by-step explanation:

Evaluate f(- 2) then substitute the value obtained into g(x), that is

f(- 2) = - 2 + 7 = 5 , then

g(5) = 4(5)² - 9 = 4(25) - 9 = 100 - 9 = 91

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he width and length of a rectangle (in feet)are consecutive odd integers. If the length is increased by 5 feet, the area of the
Ivanshal [37]

The original area of the rectangle is 35ft^{2}

<u>Explanation:</u>

width = x

length = x + 2

area of the rectangle = x (x+2)

length = x + 2 + 5 = x+7

60 = (x+7) (x)\\60=x^{2} + 7x\\x^{2}  + 7x - 60 =0\\

Solving this equation, we get

x =5ft

So, original  width = 5ft

original length = 5+2ft = 7ft

Thus, original area of the rectangle = 5 X 7ft = 35ft^{2}

Therefore, the original area of the rectangle is 35ft^{2}

3 0
4 years ago
( PLASE HELP ME) Solve the following equation.
vovikov84 [41]

Answer:

x = 2

Step-by-step explanation:

5(x-4) =-10

Distribute 5 by multiplying x and -4 by 5

5x - 20 = -10

Add 20 to both sides

5x - 20 + 20 = -10 + 20

5x = 10

Divide both sides by 5

5x ÷ 5 = 10 ÷ 5

x = 2

-Chetan K

7 0
3 years ago
Read 2 more answers
The perimeter of a square newspaper ad is 40 centimeters. How long is each side?
Katyanochek1 [597]
The answer is:  "10 cm" .
____________________________________
Method 1)
____________________________________________
2L + 2w = 40 ;  Since the formula for perimeter of a rectangle (Note: a square is a rectangle) is:

                         P = 2L + 2w ;  Note:  L = length; w = width; P = perimeter;
______________________________________________________
 Factor out a "2":
_________________
" 2L + 2w = 40" ;

2 (L+ w) = 40;

Divide each side of the question by "2" ;
____________________________________
         [2 (L + w)] / 2  = 40 / 2 ;
____________________________________
 to get:  (L + w) = 20 ;

Note:  this "rectangle is a square" ; so L= w".
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20 /2 = 10 ;

L + w = 10 + 10 = 20.

This is a square, so each side of the square is the same length.

Each side is:  10 cm .
______________________________________________
Method 2)
______________________________________________

We are given: The perimeter (sum of the lengths of all sides) of a square is "40 cm."  Since a square has 4 sides of equal length:
     Each side is:  40 cm / 4 = 10 cm.
______________________________________________
6 0
3 years ago
Can someone please help me? I keep losing points...
Ad libitum [116K]

Answer:

$39,000

Step-by-step explanation:

i = prt

i = ($30,000)(.10)(3)

$9000 + 30000

8 0
3 years ago
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Parallel to y=2/3x+4 and goes through (-9,-2)
Ostrovityanka [42]
Hey there :)

y = \frac{2}{3}x + 4

Since this line is parallel to the line to be found, both have the same slope: \frac{2}{3}

Coordinates: ( - 9 , - 2 )

y - ( -2 ) = \frac{2}{3} ( x - ( -9 ) )
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y = \frac{2}{3}x + 4


8 0
3 years ago
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