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3 years ago

F(x) = -7x - 5 + 2x when x = -2 what is the answer please

Mathematics

1 answer:

ss7ja [257]3 years ago

3 0

Answer:

x=−2 and y=5

Step-by-step explanation:

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Given the function h(x), determine the functions which correctly decompose h(x) into component functions f(x) and g(x) so that h

nataly862011 [7]

$\text{Hi there! :)}$

$\large\boxed{g(x) = 7x + 2\text{ , } f(x) = \sqrt{x} - 10}$

$\text{h(x) = f(g(x)), so determine what g(x) was substituted into f(x):}\\\\\text{Given the equation } h(x) = \sqrt{7x +2}- 10:\\\\\text{In the part of the equation with a variable, we see that "7x + 2" is in a square root:}$

$\text{Therefore, we can say that g(x) = 7x + 2:}\\\\\text{If h(x) = f(7x + 2), then f(x) must be:}\\\\f(x) = \sqrt{x} - 10$

$\text{The respective functions would be:}\\\\g(x) = 7x + 2\\\\f(x) = \sqrt{x} - 10$

7 0

3 years ago

Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

Delvig [45]

Answer:

0.75 liters of 5% hydrochloric acid solution
0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$

i.e $5x+45y=15$ -------------2

Putting value of x from equation 1 in equation 2,

$\Rightarrow 5(1-y)+45y=15$

$\Rightarrow 5-5y+45y=15$

$\Rightarrow 5+40y=15$

$\Rightarrow 40y=15-5=10$

$\Rightarrow y=0.25$

Putting the value of y in equation 1,

$x=1-0.25=0.75$

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

4 0

3 years ago

Pls solve and show the steps, I'll give brainliest to whoever replies first and accurately

AleksandrR [38]

3(x-1) = 2x - y

3x-3 = 2x-y

3x-2x+y = 3

x + y = 3 ----> (1)

2(x+y) = 3+3y

2x + 2y = 3 + 3y

2x + 2y - 3y = 3

2x - y = 3 -----> (2)

make equation (1) and (2) together

x + y + 2x - y = 3+3

3x = 6

x = 2

now make x = 2 in equation (1)

x + y = 3

2 + y = 3

y = 3-2

y = 1

(x,y) = (2,1)

6 0

3 years ago

A baseball league forms using a total of 12 coaches, 78 players

Ipatiy [6.2K]

And what else is in the problem I do not get what the problem is

4 0

3 years ago

Work out 2/15 of 5 Give your answer as a fraction in its simplest form.

docker41 [41]

Answer:

2/3

Step-by-step explanation:

2/15 of 5

Of means multiply

2/15 * 5

Multiply the numerators

2*5 = 10

Put over the denominator

10/15

We can divide the top and bottom by 5

10/5 =2

15/5 =3

2/3

5 0

2 years ago