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2 years ago

What is f(6) for the function f(x)=3x-8 a answer not here b -144 c -8 d 10

Mathematics

1 answer:

jonny [76]2 years ago

3 0

Answer:

D. 10

Step-by-step explanation:

Given f(x)=3x-8

f(6)=3(6)-8

f(6)=18-8

f(6)=10

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bagirrra123 [75]

Answer:

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2 years ago

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Answer:

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2 years ago

Read 2 more answers

Evaluate the expression. 5 x (-6 / -1 + -10)

Bond [772]

Answer:

-20

Step-by-step explanation:

PEMDAS

Parentheses -> Exponents -> Multiplication -> Division -> Addition -> Subtraction

1.) First, we can rewrite this equation to make it easier to understand

5 x (-6 / -1 + - 10)

5(-6 / -1 - 10)

2.) Begin by dividing inside the parentheses

5(-6 / -1 - 10)

5(6 - 10)

3.) Solve

5(6 - 10)

5(-4)

-20

5(6 - 10)

5(6) 5(-10)

30 - 50

-20

Therefore, the expression equals -20.

8 0

2 years ago

Let theta be an angle in quadrant 2 such that cos theta =-3/4. Find the exact values of csc theta and cot theta.

Anna35 [415]

Step-by-step explanation:

Since $cos(\theta) = -\frac{3}{4}$ we can get some information from this. First of all $cos(\theta)$ is defined as $\frac{adjacent}{hypotenuse}$ . So the adjacent side is 3 and the hypotenuse is 4. Using this we can find the opposite side to find $sin(\theta)$ to calculate csc and cot of theta. So using the Pythagorean Theorem we can solve for the missing side. Also I forget to mention we have to calculate the sign of the adjacent side and the hypotenuse. Since you're given that the angle is in quadrant 2, that means the x-value is going to be negative, and the y-value is going to be negative. And the x really represents the adjacent side and the y represents the opposite. So the adjacent side is what's negative. and the opposite is positive

Pythagorean Theorem:

$a^2+b^2=c^2$

$(-3)^2 + b^2 = 4^2$

$9 + b^2 = 16$

$b^2 = 7$

$b = \sqrt{7}$

So now we can calculate $sin(\theta)$ .

$sin(\theta) = \frac{\sqrt{7}}{4}$

Now to calculate the exact value of csc you simply take the inverse. This gives you $csc(\theta)=\frac{4}{\sqrt{7}}$ . Multiplying both sides by sqrt(7) to rational the denominator gives you $\frac{4\sqrt7}{7}$ .

Now to calculate cot(theta) you find the inverse of tan. Tan is defined as $tan(\theta) = \frac{sin(\theta)}{cos(\theta)}$ . So all you do is take the inverse which is $cot(\theta) = \frac{cos(\theta)}{sin(\theta)}$ .

Plug values in

$cot(\theta) = \frac{-\frac{3}{4}}{\frac{4\sqrt{7}}{7}}$

Keep, change, flip

$-\frac{3}{4} * \frac{7}{4\sqrt7}$

Multiply:

$-\frac{21}{16\sqrt7}$

Multiply both sides by sqrt(7)

$-\frac{21\sqrt7}{112}$

This is the value of cot(theta)

8 0

1 year ago

Dividing by whole numbers how do I do this

igomit [66]

The answer is 6.7
You (should) know 10 goes into 67, 6 times. So write 6 on the top and subtract 60 from 67. You get 7. 10 doesn't go into 7 because 7 is less. So write a zero next to the 7 AKA bring down a 0. You will then technically have 70. 10 goes into 70, 7 times, so write 7 next to the previous 6 at the top, and put a decimal between 6 and 7.

Or

You should know if anything is being divided by 10. You just move the decimal to the left. Left is less. In 67 the decimal is right after the 7. 67.0. Therefore if you move the decimal one place over to the left you get 6.7

Either way works.

5 0

3 years ago