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2 years ago

F(x) = 4x+3x g(x) = 2x-5 7. Find (f+9) (x) 8. Find (f - g) (x)

Mathematics

1 answer:

notka56 [123]2 years ago

3 0

Answer:

7. $(f+g)(x) = 6x - 2$

8. $(f-g)(x) = 2x + 8$

Step-by-step explanation:

We are given two function, f(x) and g(x).

We want to find their addition and their subtraction, and we do this combining like terms.

The functions are:

$f(x) = 4x + 3$

$g(x) = 2x - 5$

7. Find (f+9) (x)

$4x + 3 + 2x - 5 = 4x + 2x + 3 - 5 = 6x - 2$

$(f+g)(x) = 6x - 2$

8. Find (f - g) (x)

$4x + 3 - (2x - 5) = 4x + 3 - 2x + 5 = 4x - 2x + 3 + 5 = 2x + 8$

$(f-g)(x) = 2x + 8$

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What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20

Naya [18.7K]

Step-by-step explanation:

2 : 3 = 6 : x ,

Ratio can be written as

$\frac{2}{3} = \frac{6}{x}$

2*3 = 6, we multiply top and bottom of fraction by 3

$\frac{2*3}{3*3} = \frac{6}{9}$

So value of x=9

4 : 7 = x : 42 ,

$\frac{4}{7} = \frac{x}{42}$

7*6 = 42, we multiply top and bottom of fraction by 6

$\frac{4*6}{7*6} = \frac{24}{42}$

So value of x=24

2x : 48 = 3 : 12,

$\frac{2x}{48} = \frac{3}{12}$

\frac{3}{12}[/tex] = $\frac{2x}{48}12*4 = 48, we multiply top and bottom of fraction by 4[tex]\frac{3*4}{12*4} = \frac{12}{48}$

2x= 12, so x= 6

12 : 15 = x : 20

$\frac{12}{15} = \frac{x}{20}$

$15 * \frac{4}{3} = 20$ ,

we multiply top and bottom by 4/3

$12 * \frac{4}{3} = 16$

So value of x=16

4 0

2 years ago

Read 2 more answers

Heeeelp pls i beg of you

Marat540 [252]

Answer: 41.6%

Step-by-step explanation:

You divide the amount of trees 40ft or taller (10) by the total number of trees (24) so 10/24 = .416 (41.6%)

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3 years ago

How can i get answer 5 for -10 - (+5) ?

timama [110]

Answer:

- 10 - (-20 + 5)

Step-by-step explanation:

- 10 - (-20 + 5)

- 10 - (-15) = -10 + 15

-10 + 15 = 5

have a nice day and mark me brainliest! :)

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2 years ago

8. The graph of a horizontal line is a function. True False

11111nata11111 [884]

Answer:

It is not due to the fact it has no variable

7 0

3 years ago

These prisms are similar. find the volume of the larger prism in decimal form. a=5 v=300 a=6 v=[?]

zepelin [54]

Answer:

Step-by-step explanation:

When we divide congruent sides of similar solids or plane figures we get the linear scale factor.

The square of the linear scale factor gives the area scale factor while it's cube gives the volume scale factor.

In this question, the linear scale factor will be 6/5

since we are asked to find the volume we cube the linear scale factor.

(6/5)³=216/125

to get the volume of the larger prism we multiply the volume of the smaller by the V.S.L as shown

(216/125)×300in³= 518.4in³

4 0

2 years ago