All categories

2 years ago

If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x))

Mathematics

1 answer:

ki77a [65]2 years ago

3 0

Answer:

g(f(x)) = 8x-18

Step-by-step explanation:

Given that,

f(x) = 5 - 2x

g(x) = -4x + 2

We need to find g(f(x)) .

g(f(x)) = g(5-2x)

= -4(5-2x)+2

= (-4) (5) +(-4)(-2x) +2

= -20 +8x +2

= 8x-18

Hence, the value of g(f(x)) is 8x-18

You might be interested in

One watering system needs about three times as long to complete a job as another warning system when both systems operate at the

algol13

Answer:

One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

Step-by-step explanation:

Given:

Both the system can complete the job = 9 minutes

We need find the time required by each system to do the job.

Solution:

Let the time required by another watering system to complete the job be 'x' mins.

Now given:

One watering system needs about three times as long to complete a job as another watering system.

Time required by one watering system = $3x$

Rate to complete the job by another watering system = $\frac{1}{x}\ job/min$

Rate to complete the job by One watering system = $\frac{1}{3x}\ job/min$

Rate at which both can complete the job = $\frac{1}{9}\ job/min$

So we can say that;

Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.

framing in equation form we get;

$\frac{1}{x}+\frac{1}{3x}=\frac19$

Now taking LCM to make the denominator common we get;

$\frac{1\times3}{x\times 3}+\frac{1\times1}{3x\times1}=\frac19\\\\\frac{3}{3x}+\frac{1}{3x}=\frac19\\\\\frac{3+1}{3x}=\frac{1}{9}\\\\\frac{4}{3x}=\frac{1}{9}$

By Cross multiplication we get;

$4\times9 =3x\\\\3x =36$

Dividing both side by 3 we get;

$\frac{3x}{3}=\frac{36}{3}\\\\x=12\ min$

Time required by One watering system = $3x =3\times 12 =36\ min$

Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

6 0

3 years ago

A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 16ft fro

makkiz [27]

46.78

Step-by-step explanation:

you divide 16 by the cos of 70 and it turns out to be 46.78

3 0

3 years ago

Pls help with this ..its to be submitted this monday.....pls pls pls

Svet_ta [14]

Answer:

9pr = 2q^2

Step-by-step explanation:

28.

px^2 + qx + r = 0

If one root is A then the other root is 2A

We have A + 2A = -q/p and A*2A = r/p

So 3A = -q/p so A = -q/3p and A^2 = r/2p so A = √ (r / 2p)

Equating these 2 equations:-

-q/3p = √(r / 2p)

q^2 / 9p^2 = r / 2p

9p^2r = 2pq^2

9pr = 2q^2 (answer)

6 0

3 years ago

Will mark u BRAINLIEST! Please help this is due ASAP

serious [3.7K]

Answer + Explanation:

let x be the measure of angle x

let y be the measure of angle y

$\left \{ {{x + y = 180} \atop {x=24+y}} \right.$

Now, solve:

plug x = 24 + y into x + y = 180

24 + y + y = 180

24 + 2y = 180

2y = 156

y = 78

Now, plug this back into the equation x = 24 + 78

x = 102

8 0

3 years ago

Read 2 more answers

ILL GIVE BRAINLIST

zubka84 [21]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers