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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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Express the following quantities as ordinary decimal numbers: (use solution)
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6.130 \times  {10}^{9}  = 9130000000

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What is the least common multiple of 4, 6, and 12?
Afina-wow [57]

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12

Step-by-step explanation:

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Answer:

8x-31 = 2x+92

Step-by-step explanation:

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3 years ago
How many lb of brand X sugar which
Dafna1 [17]

Answer:  <u>4 pounds</u> of brand X sugar

====================================================

Reason:

n = number of pounds of brand X sugar

5n = cost of buying those n pounds, at $5 per pound

Brand Y costs $2 per pound, and you buy 8 lbs of it, so that's another 2*8 = 16 dollars.

5n+16 = total cost of brand X and brand Y combined

n+8 = total amount of sugar bought, in pounds

3(n+8) = total cost because we buy n+8 pounds at $3 per pound

The 5n+16 and 3(n+8) represent the same total cost.

Set them equal to each other. Solve for n.

5n+16 = 3(n+8)

5n+16 = 3n+24

5n-3n = 24-16

2n = 8

n = 8/2

n = 4 pounds of brand X sugar are needed

-------------

Check:

n = 4

5n = 5*4 = 20 dollars spent on brand X alone

16 dollars spent on brand Y mentioned earlier

20+16 = 36 dollars spent total

n+8 = 4+8 = 12 pounds of both types of sugar brands combined

3*12 = 36 dollars spent on both types of sugar brands

The answer is confirmed.

--------------

Another way to verify:

5n+16 = 3(n+8)

5*4+16 = 3(4+8)

20+16 = 3(12)

36 = 36

6 0
2 years ago
A 3-meter roll of red ribbon costs $1.89. What is the unit price?
Elan Coil [88]

Answer:

The price of ribbon is $0.63 per meter.

Step-by-step explanation:

It is given that:

Cost of 3 meter ribbon = $1.89

Unit price per meter = \frac{1.89}{3}

Unit price per meter = $0.63 per meter

Therefore,

The price of ribbon is $0.63 per meter.

5 0
3 years ago
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