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3 years ago

F(x) = -2^x find f(x) when x=0

Mathematics

1 answer:

brilliants [131]3 years ago

3 0

Answer:

Step-by-step explanation:

plug in 0 for x in the equation and solve

-2 to 0 is 4 because -2 × -2 is 4

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Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge

Ede4ka [16]

Answer:

Part a) The quadratic function is $4x^{2} +20x-39=0$

Part b) The value of x is $1.5\ in$

Part c) The photo and frame together are $7\ in$ wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

$(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0$

Part b) What is the value of x?

Solve the quadratic equation $4x^{2} +20x-39=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem

we have

$4x^{2} +20x-39=0$

$a=4\\b=20\\c=-39$

substitute in the formula

$x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}$

$x=\frac{-20(+/-)\sqrt{1,024}} {8}$

$x=\frac{-20(+/-)32} {8}$

$x=\frac{-20(+)32} {8}=1.5\ in$ -----> the solution

$x=\frac{-20(-)32} {8}=-6.5\ in$

Part c) How wide are the photo and frame together?

$(4+2x)=4+2(1.5)=7\ in$

5 0

3 years ago

How to graph 5x+3y=15

maxonik [38]

Answer:

Step-by-step explanation:

The number 2 goes into both 12 and 14.

Step-by-step explanation:

12 ÷ 2 is 6 and 14 ÷2 is 7 . You can't really simplify 14 by any other whole number besides 2 or 7 .

6 0

2 years ago

10% of Kindergarteners know how to read before school starts. If there are 150 kindergarteners at a

Tamiku [17]

Answer:

Step-by-step explanation:

To get 10 percent, you divide by 10.

150 divided by 10 equals 15.

3 0

3 years ago

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The value of y directly varies with the value of x. If y equals 21when x is 14, what is the value of y when x = 20?

Karo-lina-s [1.5K]

Answer:

21×20÷14

=3×20÷2

=3×10

x=30

8 0

2 years ago

20 is 60% of what number

Lilit [14]

Answer:

33.33

Step-by-step explanation:

60% of 33.33 is 20. 100% of 33.33 is 33.33, therefore 60 percent of 33.33 equals 20.

3 0

3 years ago

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