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Elenna [48]
3 years ago
9

Correct answer gets marked brainliest!

Mathematics
1 answer:
laila [671]3 years ago
3 0

Answer:

y = -3x + 7

Step-by-step explanation:

Using any 2 pairs of values, say (-3, 16) and (-1, 10), therefore, rate of change of the data given = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 16}{-1 -(-3} = \frac{-6}{2} = -3.

We would get the same rate of change if we use any other two pairs of values in the data given.

Therefore, the data can be modeled by a linear equation because the rate of change remains constant all through.

To represent y as a function of x, find b, since we know the rate of change (m).

Substitute x = -3, y = 16 and m = -3 in y = mx + b.

Thus:

16 = (-3)(-3) + b

16 = 9 + b

Subtract 9 from each side

16 - 9 = b

7 = b

b = 7

Substitute m = -3 and b = 7 in y = mx + b

The function would be:

✅ y = -3x + 7

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I need to know 7 divided by 4/5 =
Basile [38]

Answer:

8.75 or 8 3/4

Step-by-step explanation:7

   

The numbers in 7 divided by 4/5 are labeled below:

7 = whole number

4 = numerator

5 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

7 x 5

4

 =    

35

4

Thus, the answer to 7 divided by 4/5 in fraction form is:

35

4

To make the answer to 7 divided by 4/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

35 / 4 = 8.75

The answer is rounded to the nearest two decimal points if necessary.

35/4 is an improper fraction and should be written as 8 3/4.

3 0
3 years ago
2. At 1 pm, you leave Ellensburg at a constant speed of 75 miles per hour. At 2:30 pm, your
MA_775_DIABLO [31]

Here, we are required to determine how many hours your friend will drive in order to catch you.

(a)<em> Your friend will have to drive 7 and a half hours inorder to catch </em><em>you.</em>

<em>(</em><em>b)</em><em> </em><em>You </em><em>both </em><em>will </em><em>be </em><em>6</em><em>7</em><em>5</em><em> </em><em>miles</em> <em>away </em><em>from </em><em>Ellensburg</em><em> </em><em>at </em><em>that </em><em>time.</em>

If you leave at 1 pm; At 2:30pm;

  • That is; 1 and a half hours after leaving; you must have covered a distance, d = 75 × 1.5
  • d = 112.5miles.

Therefore, your position; S after 2:30pm is given by;

S(a) = 75t + 112.5 miles from Ellensburg.

For your friend; travelling at 90miles/hr;

  • His position is given as; S(b) = 90 × t

(a) For your friend to catch you, you both must be in the same position;

  • i.e S(a) = S(b)

75t + 112.5 = 90t

90t -75t = 112.5

t = 112.5/15

t = 7.5hours

(b) To determine how far you both are from Ellensburg; we can either evaluate:

S(b) = 90t or S(a) = 75t + 112.5

Therefore, By evaluating S(b) = 90t.

S(b) = 90 × 7.5

S(b) = 675miles from Ellensburg.

Read more:

brainly.com/question/24234606

6 0
2 years ago
Read 2 more answers
If f (x) = 3 x squared and g (x) = 4 x cubed + 1, what is the degree of (f circle g) (x)?
Tasya [4]

Answer:

The answer is 6.

Step-by-step explanation:

4 0
3 years ago
Given:
Fynjy0 [20]

Answer:

Option B is correct.

\triangle RST \cong \triangle TUR  

Step-by-step explanation:

Given: RSTU is a parallelogram.

By definition of parallelogram, two pairs of opposite sides are congruent in length.

⇒TU \cong RS and TS \cong RU

In triangle RST and  triangle TUR

RS \cong TU  [Side]  

TS \cong RU  [Side]

RT \cong RT   [Common side]

SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.

then, by SSS postulates we have;

\triangle RST \cong \triangle TUR    


5 0
4 years ago
May someone please help me in this question?
IRINA_888 [86]
To determine the answer for this, you need to divide the amount earned by hours worked to get how much she is paid per hour.
22.50/3 = 7.50
60.00/8 = 7.50
112.50/15 = 7.50
Your answer is A.) A = 7.50h, meaning $7.50 per hour.
I hope this helps!
5 0
3 years ago
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