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3 years ago

Given that f(x) = x + 4x evaluate f(-2).

Mathematics

1 answer:

Makovka662 [10]3 years ago

4 0

The answer is -10 because when u plug in -2 for x u get 4(-2)=-8 then -2+-8=-10

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Ronch [10]

Answer:

Step-by-step explanation:

<h3>Question:-</h3>

To find the Binomial theorem form of $\bold{(4t-3)^{5}}$

As in Binomial theorem :-

${(x - y)}^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5}$

<h3>Solution :-</h3>

$= {(4t - 3)}^{5}$

Hence, on using the Binomial theorem,

$= {(4t)}^{5} - 5 {(4t)}^{4} (3)+ 10 {(4t)}^{3} {(3)}^{2} - 10 {(4t)}^{2} {(3)}^{3} + 5(4t) {(3)}^{4} - {(3)}^{5}$

On formatting

$= {1024t}^{5} - 5 ({256t}^{4} )(3)+ 10 ({64t}^{3} ) (9 ) - 10 ({16t}^{2} )(27) + 5(4t) (81) - 243$

On further formatting.

$= {1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

Hence, the required answer is :-

${1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

6 0

3 years ago

What is the measurement of angle 2?

Alchen [17]

A straight line has an angle of 180. A right angle has an angle of 90. Angle 3 is the same as angle 80°, 6, and 8. Angle 2 is the same as angle 4, 5, and 7. All you have to do is subtract the angle you know from 180, and what will be left off is Angle 3.
Then you find out what angles are the same and you have your answer.

7 0

3 years ago

K=10t−19 Find the output, k, when the input, t is, -7.

aalyn [17]

K= 10(-7) -19
k= -70-19
k=-89

4 0

3 years ago

The triangle below has an area of 75 units squared. Find the missing side.

Volgvan

Answer:

x = 15 units

Step-by-step explanation:

Here, base of triangle = x units & height = 19 units

$Area( \triangle) = \frac{1}{2} \times base \times height \\ \\ 75 = \frac{1}{2} \times x \times 10 \\ \\ 75 = x \times 5 \\ \\ x = \frac{75}{5} \\ \\ \huge \purple{ \boxed{ x = 15 \: units}}$

5 0

3 years ago

Help please it’s homework

Fudgin [204]

Answer:

10. 1/9

11. 1 1/6

12. 1/8

Step-by-step explanation:

10.

He spent 2/3 of 1/6 of the day.

In math, "of" means multiplication, so 2/3 of 1/6 means 2/3 * 1/6.

2/3 * 1/6 = 2/18 = 1/9

He spent 1/9 of the day adding mulch.

11.

He spent 2/3 of 1 3/4 hours.

In math, "of" means multiplication, so 2/3 of 1 3/4 means 2/3 * 1 3/4.

2/3 * 1 3/4 = 2/3 * 7/4 = 14/12 = 7/6 = 1 1/6

He spent 1 1/6 hours working on the project.

12.

She planted 1/6 of 3/4 of the area.

In math, "of" means multiplication, so 1/6 of 3/4 means 1/6 * 3/4.

1/6 * 3/4 = 3/24 = 1/8

She planted carrots in 1/8 of the garden.

3 0

3 years ago