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3 years ago

If h(x) = │5x - 17│, find h(3).

Mathematics

1 answer:

arsen [322]3 years ago

7 0

Answer:

Step-by-step explanation:

5x - 17

5(3) - 17 = 15 - 17 = -2

However, there is an absolute value sign over the expression. Abs value makes negatives turn positive. So -2 becomes 2.

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aniked [119]

Answer:

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Step-by-step explanation:

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2 years ago

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mamaluj [8]

Using the given equation:

10PI/X = 240/360

Cross multiply:

(10PI*360) = (240*X)

3600PI = 240X

Divide both sides by 240:

X = 3600PI / 240

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2 years ago

What type of number is -15/3

Oduvanchick [21]

Answer:

Rational

Step-by-step explanation:

Rational numbers can be reduced to a fraction

Irrational numbers cannot be reduced to a fraction

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2 years ago

The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis

Firdavs [7]

Answer:

$sin\theta_1 = - \frac{2\sqrt{70}}{19}$

Step-by-step explanation:

We are given that $\theta_1$ is in fourth quadrant.

$cos\theta_1$ is always positive in 4th quadrant and

$sin\theta_1$ is always negative in 4th quadrant.

Also, we know the following identity about $sin\theta$ and $cos\theta$ :

$sin^2\theta + cos^2\theta = 1$

Using \theta_1 in place of \theta:

$sin^2\theta_1 + cos^2\theta_1 = 1$

We are given that $cos\theta_1 = \frac{9}{19}$

$\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{280}{361}\\\Rightarrow sin\theta_1 = \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}$

$\theta_1$ is in 4th quadrant so $sin\theta_1$ is negative.

So, value of $sin\theta_1 = - \frac{2\sqrt{70}}{19}$

6 0

2 years ago

You charge $5 plus $0.75 per dog you walk at a dog shelter. You earn $14 total working on a Saturday. How many dogs did you walk

san4es73 [151]

Answer: You walked 12 dogs

Step-by-step explanation:

If you charge 0.75 per dog then we can represent that by the expression 0.75x where x is the number of dogs. If you charge $5 for the initial amount, then the whole expression will be 0.75x +5 and that has to equal the amount that you earned working on Saturday.So the equation will be

0.75x + 5 = 14 Now solve for x by first subtracting 5 from both sides

-5 -5

0.75x = 9 Divide both sides by 0.75

x = 12

8 0

3 years ago