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ivann1987 [24]
3 years ago
14

The amount Max earned last week can be modeled by the expression 25 plus 5 i greater or equal than 95 comma where i is the numbe

r of items he sold. Which number line shows how many items he could have sold last week?

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
3 0

Answer:

  • Line 3 (or C)

Step-by-step explanation:

<u>The inequality as per description is:</u>

  • 25 + 5i ≥ 95
  • 5i ≥ 95 - 25
  • 5i ≥ 70
  • i ≥ 70/5
  • i ≥ 14
  • i = [14, + ∞)

This is shown on the number line 3 on the picture or option C

Sergeeva-Olga [200]3 years ago
3 0

Answer

Line 3 (or C)

Step-by-step explanation:

25 + 5i ≥ 95

5i ≥ 95 - 25

5i ≥ 70

i ≥ 70/5

i ≥ 14

i = [14, + ∞)

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Y is directly proportional to x^2. It is known that y=10 for a particular value of x. Find the value of y when the value of x is
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<span>Y is directly proportional to x^2. It could be represented by the expression:

y </span>α x^2

We can make it into an equality by inserting the proportionality constant, k.

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k would be constant for any value of y with a corresponding value of x. We solve the problem by this concept as follows:

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2 years ago
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Answer:

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Step-by-step explanation:

Hi there!

Point-slope form: y-y_1=m(x-x_1) where <em>m</em> is the slope of the line and (x_1,y_1) is a given point

Given that the slope is -3/4, we can plug it into y-y_1=m(x-x_1) as <em>m</em>:

y-y_1=\displaystyle -\frac{3}{4}(x-x_1)

We can also plug in the given point (1,2):

y-2=\displaystyle -\frac{3}{4}(x-1)

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate <em>y</em>:

y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}

I hope this helps!

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