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KonstantinChe [14]
3 years ago
6

What is the rate of change and initial value of the linear function modeled by a line passing through the points (0,8) and (3,-1

)?
Mathematics
1 answer:
kumpel [21]3 years ago
3 0
The rate of change is equal to rise over run
= (-1 - 8)÷(3 - 0)
= -9 ÷ 3
= -3

When you say initial value I'm assuming you mean the y-intercept

In that case you first need to find the equation of the line by substituting the gradient and point into the gradient intercept formula

y - 8 = -3(x - 0)
y = -3x + 8

The y-intercept is when x = 0 so,

y = -3(0) + 8
Therefore y = 8
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Consider that x=5 and y=7. Is the sum of x + y rational, irrational, or neither irrational nor rational!
nasty-shy [4]
The sum of y+x, or 5+7, is rational.  This is because each integer(non fraction/decimal)is rational, it is also rational.
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4 years ago
This is a picture of a cube and the net for this cube.
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3 years ago
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The measure of an angle is seventeen times the measure of its supplementary angle. What is the measure of each angle?
levacccp [35]

Answer:

The measure of each angle will be 10° and 170°.

Step-by-step explanation:

A supplementary angle refers to an angle that has the sum to be equal to 180°.

Let the small angle be represented by x

Therefore, the big angle will be: = 17 × x = 17x

Therefore, the value of both angles will be:

x + 17x = 180

18x = 180

Divide both side by 18

18x/18 = 180/18

x = 10

Therefore, the bigger angle will be:

17x = 17 × 10 = 170

Therefore, the angles are 10° and 170°

4 0
2 years ago
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Ada, Betty, Chris and David have $45 in total Ada gota 52 fromBetty, Chris tripleshis money and Davids money is cut by hall four
andrezito [222]

Using a system of equations, it is found that initially Ada has $0.385.

For the system, we have that the variables are:

  • x is Ada's amount.
  • y is Betty's amount.
  • z is Chris's amount.
  • w is David's amount.

$45 total, hence:

x + y + z + w = 45

Ada <u>gets 2 from Betty</u>, hence:

x + 2 = y - 2

x = y - 4

y = x + 4

<u>Chris triples</u> his money and <u>David's</u> money is <u>cut by half</u> four of them have the same amount, hence:

x + 4 = y = 3z = \frac{w}{2}

Then:

3z = x + 4

z = \frac{x + 4}{3}

x + 4 = \frac{w}{2}

w = 2x + 8

Solving for w, we find Ada's initial amount.

x + y + z + w = 45

x + x + 4 + \frac{x + 4}{3} + 2x + 8 = 45

4x + 12 + \frac{x + 4}{3} = 45

12x + 36 + x + 4 = 45

13x = 5

x = \frac{5}{13}

x = 0.385

Initially, Ada has $0.385.

A similar problem is given at brainly.com/question/6120515

5 0
3 years ago
How much time I spend on the phone affects how much studying I get done what is the independent and the dependent variable in th
stepladder [879]

Answer:time spent on your phone is independent and how much studying you get done is dependent since it depends on how much time your spend on your phone as to how much studying you will get done


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