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vredina [299]
3 years ago
13

Abi has 20 cents. Se bought x pencils for 3 cents each. If y equals the number of cents left, write an equation that shows the d

ependence of y on x. What is the domain of the function?
Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

Answer:

<u>The function would be:</u>

  • y = 20 - 3x

<u>Since y should be positive or zero:</u>

  • 20 - 3x > 0
  • 3x < 20
  • x < 7

So x can get values from 0 to 6.

<u>The domain is:</u>

  • x∈N, x = [0, 6]
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Determine if the lines are parallel, perpendicular, or neither 10x+5y=-5 and y=-2x+6
Ksenya-84 [330]
If they are parallel they will have the same slope , m

So in y = mx + c, if there are two equations which both have the same m value they will be parallel.
If the lines are perpendicular they'll have slopes like this: 1/2 to -2/1 - where they flip and a negative gets added.

In the equations: 10x + 5y = -5 , and y = -2x + 6
We can rearrange 10x + 5y = -5 to be in the form y = mx + c
10x + 5y = -5
5y = -5 - 10x
y = -1 - 2x
y = -2x - 1

Since y = -2x - 1 and y = -2x + 6 both have the same slope of -2 they are parallel!

7 0
4 years ago
What is the slope of the line passing through the points (1, –5) and (4, 1)?
Naddik [55]
The slope is a 2
here the stpes 
6/3 got 2
y2-ya
x2-x1
then you get 6/3 devide ad that you slope

3 0
3 years ago
What is the area of a sector with a central angle of \frac{5 \pi }{6} radians and a diameter of 5.6 in.? Use 3.14 for π and roun
kvasek [131]

Answer:

10.26 in²

Step-by-step explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

  = πr² × \frac{\frac{5\pi }{6} }{2\pi }

  = π × 2.8² × \frac{5}{12} ≈ 10.26 in²

7 0
3 years ago
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This dist
alexira [117]
<h3>Answer:   83.85%</h3>

This value is approximate.

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

Explanation:

Let's compute the z score for x = 40

z = (x-mu)/sigma

z = (40-47)/7

z = -1

We're exactly one standard deviation below the mean.

Repeat these steps for x = 68

z = (x-mu)/sigma

z = (68-47)/7

z = 3

This score is exactly three standard deviations above the mean.

Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.

34+34+13.5+2.35 = 83.85

<u>Roughly 83.85%</u> of the one-mile roadways have between 40 and 68 potholes.

5 0
3 years ago
In ΔQRS, the measure of ∠S=90°, SR = 7, QS = 24, and RQ = 25. What is the value of the tangent of ∠Q to the nearest hundredth?
TEA [102]

Answer:tanQ=

adjacent

opposite

​

=

24

7

​

≈0.2917≈0.29

Step-by-step explanation:

trust me bro

8 0
3 years ago
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