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2 years ago

Consider the table of values and the equation, which both represent a function,

Mathematics

1 answer:

Volgvan2 years ago

6 0

Answer:

y = 5x - 2

Step-by-step explanation:

✅Rate of change = change in y/change in x

Rate of change of the table of values using two pairs of values from the table (2, 8) and (3, 11):

Rate of change = (11 - 8)/(3 - 2) = 3/1

Rate of change = 3

✅Rate of change of the equation, y = 5x - 2.

The equation is represented in the slope-intercept form, y = mx + b.

Where, m = slope/rate of change

Therefore, rate of change if the equation would be 5.

Rate of change = 5

✔️The function that has the greater rate of change would therefore be y = 5x - 2

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What’s the correct answer for this? Select all that apply

tatiyna

Answer:

B and C

Step-by-step explanation:

The correct options are :

A cross-section that is perpendicular to the base of a cube.

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2 years ago

If you roll one die and flip one coin, what is the probability of rolling a 2 and flipping a head? Why?

Nezavi [6.7K]

Answer:

Probability of rolling a 2 and flipping a head will be $\frac{1}{12}$

Step-by-step explanation:

If we roll one die then probability to get any one side is $\frac{1}{6}$

Therefore, probability to get 2 by rolling the die will be P(A) = $\frac{1}{6}$

Now we flip a coin then getting head or tale probability is $\frac{1}{2}$

Or probability to get head by flipping the coin P(B) = $\frac{1}{2}$

Probability of happening both the events (rolling a 2 and flipping a head) will be denoted by

P(A∩B) = P(A)×P(B)

= $\frac{1}{6}\times \frac{1}{2}$

= $\frac{1}{12}$

Therefore, probability of rolling a 2 and flipping a head will be $\frac{1}{12}$

3 0

3 years ago

Read 2 more answers

Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.

dezoksy [38]

Answer:

The equation in the slope-intercept form will be:

$y=-\frac{5}{4}x+1$

Step-by-step explanation:

Given

slope = m = -5/4

point = (8, -9)

As we know that the equation of a line in point-slope form is

$y-y_1=m\left(x-x_1\right)$

substituting the values m = -5/4 and point = (8, -9)

$y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)$

$y+9=\frac{-5}{4}\left(x-8\right)$

Writing the equation in slope-intercept form

$y=mx+b$

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

$y+9=\frac{-5}{4}\left(x-8\right)$

subtract 9 from both sides

$y+9-9=\frac{-5}{4}\left(x-8\right)-9$

$y=-\frac{5}{4}x+1$

Therefore, the equation in the slope-intercept form will be:

$y=-\frac{5}{4}x+1$

7 0

3 years ago

Help help help help please business

Margaret [11]

Answer:

x = 35°

Step-by-step explanation:

These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.

These angles are congruent, so you can set them equal to each other:

$2x+20=3x-15$

Then, just solve for x:

$20=x-15\\35=x\\x=35$

You can check that by plugging it back into both:

$2x+20=3x-15\\2(35)+20=3(35)-15\\70+20=105-15\\90=90$

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2 years ago

Read 2 more answers

Kimmy earns a $200 commission on all

aalyn [17]

The equation is 30,000+200x=80,000. X is the number of sales.

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3 years ago