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3 years ago

5 Solve for z in the literal equation - (z +11) = y. 7 Z=

Mathematics

1 answer:

Vsevolod [243]3 years ago

7 0

Answer:

z= -55 / 5-y

the line is a divided by sign you put 55 on top and the 5-y on bottom

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F(x)=2x^2-x-6 g(x)=4-x (f+g)(x)

Semenov [28]

$\large \boxed{(f + g)(x) = f(x) + g(x)}$

The property above is distribution property where we distribute x-term in the function.

Substitute both f(x) and g(x) in.

$\large{ \begin{cases} f(x) = 2 {x}^{2} - x - 6 \\ g(x) = 4 - x \end{cases}} \\ \large{f(x) + g(x) = (2 {x}^{2} - x - 6) + (4 - x)} \\ \large{f(x) + g(x) = 2 {x}^{2} - x - 6 + 4 - x}$

Évaluate/Combine like terms.

$\large{f(x) + g(x) = 2 {x}^{2} - 2x - 2}$

The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)

$\large{(f + g)(x) = 2 {x}^{2} -2x -2}$

Alternative

$\large{(f + g)(x) = 2({x}^{2} -x - 1)}$

Answer

(f+g)(x) = 2x²-2x-2
(f+g)(x) = 2(x²-x-1)

Both answers work. The second answer is in factored form.

Let me know if you have any doubts!

8 0

2 years ago

Drag the values to order them from least to greatest, with the least at the top. Item 2 moved to position 3. 79 − − √ + 63 − − √

Nonamiya [84]

$\sqrt{63} \\ \\ \sqrt{79} \\ \\ \sqrt{143} \\ \\ 4\pi$

<h2>Explanation:</h2>

As I understand, in this exercise, we have the following numbers:

$\text{Number 1}=\sqrt{79} \\ \\ \text{Number 2}=\sqrt{63} \\ \\ \text{Number 3}=\sqrt{143} \\ \\ \text{Number 4}=4\pi$

By using calculator, let's convert those numbers into decimal form:

$\text{Number 1} \approx 8.88\\ \\ \text{Number 2} \approx 7.93 \\ \\ \text{Number 3} \approx 11.96 \\ \\ \text{Number 4} \approx 12.56$

So arranging from least to greatest we have:

$\text{Number 2} \\ \\ \text{Number 1} \\ \\ \text{Number 3} \\ \\ \text{Number 2}$

Put another way:

$\sqrt{63} \\ \\ \sqrt{79} \\ \\ \sqrt{143} \\ \\ 4\pi$

7 0

3 years ago

Please tell me the correct answer and I will mark you brainliest

RoseWind [281]

All of the answers you put are correct. good job!

8 0

3 years ago

Find tan 0. (Marking brainliest if correct) 8/17 15/17 15/8 8/15

Rina8888 [55]

Answer:

15/8

Step-by-step explanation:

Assuming you mean tan theta

Tan(theta) = opposite/adjacent

We know the adjacent side is 8 so the bottom of the fraction must also be 8

C: 15/8 is the only option that fits this criteria

4 0

2 years ago

For f(x) = 3x + 1 and g(x) = x^2 - 7, find f(g(4)).

kodGreya [7K]

First, let's find g(4). After we find it, we can substitute the value into $f(x)$ .

To find g(4), we need to substitute x = 4 into the function $g(x)$ , as shown below:

$g(x) = x^2 - 7$

$g(4) = 4^2 - 7$

$g(4) = 9$

Now that we have found g(4) = 9, we can substitute this value in for $x$ in $f(x)$ .

$f(x) = 3x + 1$

$f(9) = 3(9) + 1$

$f(9) = 28$

f(g(4)) is equal to 28.

4 0

3 years ago