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3 years ago

What is the value of x?

Mathematics

1 answer:

aev [14]3 years ago

8 0

x= 18

let me show you the workout

6x+1+12x-5=32

Combine like terms .Combine 6x+12=18x

18x-4=32 Subtract -4 from 32

18x=36 Divide by 18 and

X=16

Hoped this helped Im not sure if this is right

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find the gradient of the line joining (3,7) and (6,9). Hence, find the acute angle it makes with the positive x-y axis

stiv31 [10]

Answer:

33.7 degrees

Step-by-step explanation:

As we go from (3,7) to (6,9), x increases by 3 and y increases by 2. Thus, the gradient (slope) of the line connecting these two points is

m = rise / run = 2/3. Using the slope-intercept formula y = mx + b, we obtain

7 = (2/3)(3) + b, or 7 = 2 + b, so we see that b = 5 and y = (2/3)x + 5. The y-intercept is (0, 5).

Next we find the x-intercept. We set y = (2/3)x + 5 = to 0 and solve for x:

(2/3)x = -5, or (3/2)(2/3)x = -5(3/2), or x = -15/2, so that the x-intercept is

(-15/2, 0). This line intersects the x-axis at (-15/2, 0).

Now look at the segment of this line connecting (-15/2, 0) and (0, 5). Here x increases by 15/2 and y increases by 5, and so the tangent of the acute angle in question is

tan Ф = 5 / (15/2) = 10 / 15 = 2/3.

Using the inverse tangent function, we get Ф = arctan 2/3, or approx.

33.7 degrees.

I believe you meant "the acute angle it makes with the positive x-axis."

3 0

3 years ago

Which of the statements are true about the function f given by f(x) = 100-e? Select all that apply.

tatiyna

From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.

<h3>What is the explanation for the above function?</h3>

Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:

f(x) = 100 * $e^{-x}$

Assuming x = -2, we'd have:

100 * 2.7182 $^{-2}$

= 271.82 $^{-2}$

= 0.00001353354

Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.

Learn more about functions at:

brainly.com/question/25638609

#SPJ1

6 0

2 years ago

A device contains two circuits. The second circuit is a backup for the first, so the second is used only when the first has fail

Wittaler [7]

Answer:

Step-by-step explanation:

The pdf of X is given by 3e^x(1-e^-2y). Please check the screenshot for the workings.

The pdf of Y is given by 6e^-2y. Please check the screenshot for the workings.

The expected time the device fails is the expected time Y fails, so we are going to find the expected time of Y which equals to 0.83.

Please check the screenshop for the workings. Thanks

5 0

3 years ago

Plz Help ASAP!!!!!

xz_007 [3.2K]

Answer:

The hypotenuse is square root of 65

Step-by-step explanation:

a^2 + b^2 = c^2

legs of the right triangle are a and b. Just substitute 4 for a and 7 for b and solve.

4^2+7^2=16+49=65

c^2=65

Find the square root of both sides to get

c=the square root of 65

3 0

3 years ago

Read 2 more answers

The distance from earth to the moon is about 22^4 miles.The distance from earth to neptune is about 22^7 miles.Which distance is

fiasKO [112]

You are NOT using scientific notation correctly. When you say 22^4 you are saying 22*22*22*22 which equals 234,256. What you should say is Earth to Moon distance = 22 * 10^4 miles. (To be really precise, it should be expressed as 2.2 * 10^5 miles).

Earth to Neptune distance = 2.2 * 10^8 miles.

2.2 * 10^8 / 2.2 * 10^5 = 1,000. So the Earth to Neptune distance is 1,000 times greater than the Earth to Moon distance.

6 0

3 years ago