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kirill115 [55]
2 years ago
8

Carlos begins his workout by stretching. Then he spends an equal amount of time on each workout machine. The equation y = 8x + 1

0 represents the total time, in minutes, of Carlos' workout if he uses x workout machines.Explain what the slope and y-intercept of the equation represent in this situation.
Mathematics
2 answers:
dedylja [7]2 years ago
8 0
The y-intercept is the 10...its like where you start, and the slope is the 8, which indicates the rate of growth linearly
irakobra [83]2 years ago
4 0

Answer:

The slope of the equation is 8 and y-intercept is 10.

Step-by-step explanation:

The given equation is

y=8x+10                     .... (1)

The slope intercept of a line is defined as

y=mx+b                    .... (2)

Where, m is the slope of the line and b is y-intercept.

On comparing equation (1) and (2), we get

m=8

b=10

Therefore the slope of the equation is 8 and y-intercept is 10.

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Which equation represents a circle that contains the point (-2, 8) and has a center at (4, 0)
nevsk [136]

Answer:

Option 1:(x-4)^2+y^2=100

Step-by-step explanation:

Given center = (h,k) = (4,0)

The point (-2,8) lies on circle which means the distance between the point and center will be equal to the radius.

So,

The distance formula will be used:

d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\=\sqrt{(4+2)^{2}+(0-8)^{2}}\\=\sqrt{(6)^{2}+(-8)^{2}}\\=\sqrt{36+64}\\ =\sqrt{100}\\ =10\ units

Hence radius is 10.

The standard form of equation of circle is:

(x-h)^2+(y-k)^2 = r^2

Putting the values

(x-4)^2+(y-0)^2=10^2

(x-4)^2+y^2=100

Hence option 1 is correct ..

7 0
2 years ago
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What two whole numbers is the quotient between 37 divided by 6
Nitella [24]

Answer:

6 and 7

Step-by-step explanation:

To do this, we need to look at the two closest numbers that are divisible by 6. These are 36 and 42.

36/6=6\\42/6=7

As 37 is between 36 and 42, the quotient must be between 6 and 7

3 0
2 years ago
What is the slope of the following 12x - 6y = 30
blagie [28]

Answer:

slope = m = 2

6 0
2 years ago
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Members of the pep club were selling raffle tickets for $1.50 and $5. The number of $1.50 tickets sold was two less than four ti
marysya [2.9K]

Answer:

see below

Step-by-step explanation:

1.5x + 5y = 1152    

x = 4y – 2

We can substitute the second equation into the first equation

Which one-variable linear equation can be formed using the substitution method?

1.5(4y-2) +5y = 1152  

Distribute

6y -3 +5y = 1152

Combine like terms

11y-3 = 1152

Add 3 to each side

11y-3+3 = 1152+3

11y = 1155

Divide each side by 11

11y/11 = 1155/11

y = 105

How many $5 raffle tickets were sold?

105 5 dollar tickets were sold

Now we need to find the number of 1.50 tickets

Which equation can be used to determine how many $1.50 raffle tickets were sold?

x = 4y – 2

x = 4(105) -2

   =420-2

   = 418

How many $1.50 raffle tickets were sold?

418    $1.50 tickets were sold

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