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3 years ago

F(x) = 4x - 1

Mathematics

2 answers:

Natasha2012 [34]3 years ago

6 0

Answer:

Step-by-step explanation:

Find (f + g)(x) then evaluate (f + g)(9)

(f + g)(x) = f(x) + g(x)

= 4x - 1 + x² - 2 = x² + 4x - 3

Now substitute x = 9 into the expression

(f + g)(9) = 9² + 4(9) - 3 = 81 + 36 - 3 = 114 → D

PilotLPTM [1.2K]3 years ago

4 0

Answer:

J.117

Step-by-step explanation:

f(x) =4x-1

if f(2)= 4(2)-1

f(2)= 8-1 = 7

f(2) = 7 equation 1

g(x) =x2-2

if g(4)= (4)2-2

g(4) = 8-2 = 6 equation 2

Now,

(f+g)(9) =?

subtitute equation 1 and 2

(7+6)(9)=?

(13)(9)=?

13×9= 117

Hence, the answer is 117

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Answer:

Prat 9) $SF=2, x=16\ in$

Part 10) $SF=0.5, x=14\ ft$

Part 11) $SF=0.5, x=3.5\ ft$

Part 12) $SF=3, x=7\ m$

Step-by-step explanation:

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If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

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a----> area of the shaded figure

b----> area of the unshaded figure

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Problem 9) we have

$a=216\ in^{2}$

$b=54\ in^{2}$

substitute in the formula

$SF^{2}=\frac{216}{54}$

$SF^{2}=4$

$SF=2$ ------> the scale factor

To find the value of x, multiply the length of the unshaded figure by the scale factor

$x=(2)(8)=16\ in$

Problem 10) we have

$a=161\ ft^{2}$

$b=644\ ft^{2}$

substitute in the formula

$SF^{2}=\frac{161}{644}$

$SF^{2}=0.25$

$SF=0.5$ ------> the scale factor

To find the value of x, multiply the length of the unshaded figure by the scale factor

$x=(0.5)(28)=14\ ft$

Problem 11) we have

$a=10.5\ ft^{2}$

$b=42\ ft^{2}$

substitute in the formula

$SF^{2}=\frac{10.5}{42}$

$SF^{2}=0.25$

$SF=0.5$ ------> the scale factor

To find the value of x, multiply the length of the unshaded figure by the scale factor

$x=(0.5)(7)=3.5\ ft$

Problem 12) we have

$a=4,590\ m^{2}$

$b=510\ m^{2}$

substitute in the formula

$SF^{2}=\frac{4,590}{510}$

$SF^{2}=9$

$SF=3$ ------> the scale factor

To find the value of x, divide the length of the shaded figure by the scale factor

$x=(21)/(3)=7\ m$

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