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Alexus [3.1K]
3 years ago
10

F (x) = 1 – 4x Calculate the value of f (2)

Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer:

Step-by-step explanation:

F (x) = 1 – 4x

Calculate the value of f (2)

Subsitution 1-4(2)=1-8=-7

The answer of f(2)=-7

I hope this answers ur question

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1) f(x) = 2x + 4, g(x) = 4x2 + 1; Find (g ∘ f)(0).
Sholpan [36]

Answer:

<h2>(g \: \circ \: f)(0) = 17</h2>

Step-by-step explanation:

f(x) = 2x + 4

g(x) = 4x² + 1

In order to find (g ∘ f)(0) we must first find

(g ° f )(x)

To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

<h3>(g \: \circ \: f)(x) = 4( ({2x + 4})^{2} ) + 1 \\  = 4(4 {x}^{2}  + 16x + 16) + 1 \\  =  {16x}^{2}  + 64x + 16 + 1</h3>

We have

<h3>(g \: \circ \: f)(x) =  {16x}^{2}  + 64x + 17 \\</h3>

Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)

We have

<h3>(g \: \circ \: f)(0) = 16( {0})^{2}  + 64(0) + 17 \\</h3>

We have the final answer as

<h3>(g \: \circ \: f)(0) = 17</h3>

Hope this helps you

8 0
3 years ago
−10 &gt; − 5 or −4 &lt; −20
natima [27]

-10 is less than -5 because negative numbers are farther from 0. Same applies to -4 and -20.

3 0
3 years ago
Find the value of x in the diagram below
Ghella [55]

Answer:

x=26

Step-by-step explanation:

4x-8+34+76-x=180

4x-x-8+34+76=180

3x+102=180

3x=180-102

3x=78

x=78/3

x=26

4 0
3 years ago
Read 2 more answers
Determine the corresponding general form of each of the following vertex form
SSSSS [86.1K]

Answer:

Step-by-step explanation:

(a + b)² =a² + 2ab + b²

(a -b)² = a² - 2ab + b²

1) y = (x -1)²

 y= x² -  2*x*1 + 1

y = x² - 2x + 1    

Ans: C

2)y = (x +4)² + 5

y = x² +2*x*4 + 4² + 5

  = x² + 8x + 16 + 5

y = x² + 8x + 21

C

3) y = -(x + 9)²- 10

y = - [x² + 18x + 81] - 10

= -x² - 18x - 81 - 10

y =-x² - 18x - 91

B

4) y = 3(x + 2)² - 18

y =3 [x² + 4x + 4] - 18

y =  3x² + 12x  + 12 - 18

y =3x²  + 12x - 6

A

5) y = -2(x + 1)² - 16

       = -2[x² + 2x + 1] -16

       = -2x² - 4x - 2 - 16

     y = -2x² - 4x -  18

A

6) y = 5(x + 5)²

        =5[x²+ 10x + 25]

y = 5x² +50x + 125

A

7)y = (1/2)(x + 8)² - 8

  y = (1/2) (x² + 16x + 64) - 8

y =  \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x  + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24

A

8) y = (x + 3/2)² + 3/4

y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3

C

9) y = 2[x² + 16x + 64] - 5x

y = 2x² + 32x + 64 - 5x

y =2x² + 27x + 6

4 0
2 years ago
Simplify the polynomial (3a^2+4a+25) - (2a^2+4a-5)
nignag [31]

Answer:

The polynomial simplified would be a^2 + 30

I hope this helps you:))

P.S. Might I recommend a good online calculator for these types of problems. It's called Symbolab. I use it every day and it's a lifesaver. It shows the step-by-step and has a plethora of different actions like simplifying, inverse, and line.

6 0
3 years ago
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