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erma4kov [3.2K]

3 years ago

11

Which of the following statements contain a variable? (you can have multiple answers)

1 answer:

ZanzabumX [31]3 years ago

3 0

<span>The following statements contain a variable :
</span><span>
D. The airplane flew at a speed of 600 kilometers per hour.
</span>B. Sam scored 5 more points than Eric.

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I need help <br><br> Evaluate functions from their graph

andreev551 [17]

Answer:

$g(7)=4$

Step-by-step explanation:

We look for where $x=7$ . The way you find the answer is first, find the point $(0, 7)$ . Draw a line straight up and down, and see where that line intersects the function. Those intersection points are your answer(there will always be only 1 for a function, but if a graph isn't a function, there might be more than 1).

Using this method here, we see that $g(7)$ intersects our line at $(7, 4)$ , so $g(7)=4$ .

6 0

2 years ago

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago

The cost of a student ticket is $7 write a equation that correctly relates the total cost

daser333 [38]

X=$7 | 1 Ticket= x | 1 Ticket = $7

6 0

3 years ago

Kelly uses cruise control to drive at a constant speed. She travels first 192 miles in 3 hours. At the rate, how long will it ta

ioda

Answer:

Step-by-step explanation:

rate = d / t

rate = 192 / 3

rate = 64 miles / hour

Now you want to know how long it can take to get 448 miles

d = r * t

t = d / r

t = 448/64

t = 7 hours.

You could actually do it using proportions.

192/3 = 448/x Cross multiply

192*x = 448*3

192*x = 1344 Divide by 192

x = 1344/192

x = 7

Do this the way you feel is the best way.

5 0

2 years ago

Read 2 more answers

Graph the solution of the inequality on a number line. x − (5 − 3x) ≤ 2x − 1

egoroff_w [7]

Answer:

x ≤ 2

Step-by-step explanation:

x − (5 − 3x) ≤ 2x − 1
x - 5 + 3x ≤ 2x - 1
4x - 5 ≤ 2x - 1
4x - 2x ≤ 5 - 1
2x ≤ 4
x ≤ 2 or x ∈ (- oo, 2]

The graph includes all point to the left from point 2, same point included

4 0

3 years ago

Read 2 more answers