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3 years ago

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Mathematics

2 answers:

iVinArrow [24]3 years ago

6 0

$a^{-n}=\dfrac{1}{a^n}\\------------\\\\\dfrac{2x^{-4}}{3xy}=\dfrac{2}{3xy}\cdot\dfrac{1}{x^4}=\dfrac{2}{3x^5y}\to C.$

kolezko [41]3 years ago

4 0

The answer is c because it’s values and

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What is the slope of the line y - 5 = -4(x - 8)?

galben [10]

Answer:

-4

Step-by-step explanation:

This looks like point-slope form, which I find personally hideous. Let's change it to slope-intercept form to ease my conscience. (remember that slope-intercept form is y=mx+b, where m=slope and b=y-intercept!)

y - 5 = -4(x-8)

y - 5 = -4x + 32

y = -4x + 37

It's in slope-intercept form now! And -4 looks to be our m.

<u>So the slope is -4.</u>

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3 years ago

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16. A company spends $100 per day on fixed expenses such as electricity, rent, and the like. It also spends $35 per day on each

Paladinen [302]

C = Total Daily Cost
Total Daily Cost = (Salary per employee per day)×(Total no. of employees on that day) + Fixed Expenses.

C = 35x + 100

5 0

3 years ago

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Directions: State whether or not (3, -2) is a solution to the following systems.

andrew11 [14]

(3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0, (3, -2) is not a solution to the system of equations -x - y = -5 and 3x - 4y = 17 and (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

<h3>How to determine the whether or not (3, -2) is a solution to the following systems?</h3>

The systems of equations are given as:

1. x - 2y = 7 and 2x + 3y = 0

2. -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

Next, we substitute (3, -2) for (x, y) in the system of equations.

So, we have:

3 - 2 * -2 = 7 and 2 * 3 + 3 * -2 = 0

Evaluate

7 = 7 and 0 = 0

The above equation is true

Hence, (3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0

-3 + 2 = -5 and 3 * 3 + 4 * 2 = 17

Evaluate

- 1 = - 5 and 1 7 = 1 7

The above equation is false

Hence, (3, -2) is not a solution to the system of equations -x - y = -5 and 3x - 4y = 17

3 - 2 = 1 and 3 + 2 = 6

Evaluate

1 = 1 and 5 = 6

The above equation is false

Hence, (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

Read more about system of equations at:

brainly.com/question/13729904

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2 years ago

WILL GIVE BRAINLIEST!!! Given tan(theta) = 4/3 and pi < theta < (3pi)/2, find cos(2theta).

babymother [125]

Answer: $\cos 2 \theta = \dfrac{-7}{25}$

Step-by-step explanation:

Given: $\tan \theta = \dfrac{4}{3}$ and $\pi < \theta< \dfrac{3\pi }{2}$

To find: $\cos 2 \theta$

Now as we know

$\cos 2x = \dfrac{1- \tan ^2 x}{1+ \tan ^2 x}$

So we have

$\cos 2 \theta = \dfrac{1-(\dfrac{4}{3} )^2}{1+(\dfrac{4}{3} )^2} \\\\\Rightarrow \cos 2 \theta = \dfrac{1- \dfrac{16}{9} }{1+ \dfrac{16}{9} } = \dfrac{\dfrac{9-16}{9} }{\dfrac{9+16}{9}} = \dfrac{-7}{25}$

Therefore d. is the correct option

Hence , $\cos 2 \theta = \dfrac{-7}{25}$

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3 years ago

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Which graph is used to model piece rate pay?

Natasha2012 [34]

C: scatter plot is the graph used

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3 years ago