Answer:
y = -3x + 7
Step-by-step explanation:
Choosing two points from the given table:
Let (x1, y1) = (-3, 16)
(x2, y2) = (-1, 10)
Plug these given values into the slope formula:
m = (y2 - y1)/(x2 - x1)
= (10 - 16) / (-1 - (-3))
= -6 / (-1 + 3)
= -6/2
= -3
Therefore, the slope is -3.
Next, choose one of the points and plug into the <u>point-slope form</u>:
Let's use (-1, 10) as (x1, y1):
y - y1 = m(x - x1)
y - 10 = -3(x - (-1))
y - 10 = -3(x + 1)
y - 10 = -3x - 3
Add 10 on both sides to isolate y:
y - 10 + 10 = -3x - 3 + 10
y = -3x + 7
Answer:The LCM of 10, 15, and 20 is 60. After 60 minutes, they ring together again.
Step-by-step explanation:
The range of the function in the graph given can be expressed as: D. 20 ≤ s ≤ 100.
<h3>What is the Range and Domain of a Function?</h3>
All the possible set of x-values that are plotted on the horizontal axis (x-axis) are the domain of a function. In order words, they are the inputs of the function.
On the other hand, all the corresponding set of x-values that are plotted on the vertical axis (y-axis) are the range of a function. In order words, they are the outputs of the function.
In the graph given below that shows a function, s is plotted on the vertical axis (y-axis), and its values starts from 20, up to 100. The range can be said to be all values of s that are from 20 to 100.
Therefore, the range of the function in the graph given can be expressed as: D. 20 ≤ s ≤ 100.
Learn more about functions on:
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Answer:
C) 75 + 50x = 25 + 70x
Step-by-step explanation:
ABC Tech:
$50 an hour. So,for x hours= 50 * x = 50x
Service charge = 75 + 50x
Tech Squad:
$70 an hour. So,for x hours= 70 * x = 70x
Service charge = 25 + 70x
C) 75 + 50x = 25 + 70x
50x - 70x = 25 - 75
-20x = -50
x = -50/-20
x =5/2 = 2
hours
Answer:
The unit price at Price-Club is $0.2158 per ounce.
The unit price at Shop Mart is $0.2925 per ounce.
Step-by-step explanation:
Price Club:
12-ounce box of crackers for $2.59
So
12 ounces - $2.59
1 ounce - x
The unit price at Price-Club is $0.2158 per ounce.
Shop Mart:
1-pound box of crackers for $4.68.
1 pound is 16 ounces. So
16 ounces - $4.68
1 ounce - x
The unit price at Shop Mart is $0.2925 per ounce.
