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Korolek [52]
2 years ago
11

Long’s Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month,

Mathematics
1 answer:
dem82 [27]2 years ago
8 0

Answer: 12 refills

Step-by-step explanation:

y = 8.95 + 1.50x

26.95= 8.95 + 1.50x

26.95 - 8.95 = 1.50x

18 = 1.50X

18 / 1.50 = x

X = 12

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A number n divided by 12 is 10.<br> - or n =
jekas [21]

Step-by-step explanation:

n/12=10

n=10*12

n=120

4 0
3 years ago
I just need 6 7 and 8 please
Bezzdna [24]
Number 7 is 16 and #6 is 29 and 8 is 45
3 0
3 years ago
What is the equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 ​
andreyandreev [35.5K]

<u>Answer:</u>

The equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 ​is y+6=\frac{1}{3}(x+2)

<u>Solution:</u>

Given that line passes through (-2, -6) and has slope of 1/3

We have to find the equation of the line

The point slope form is given as

y-b=m(x-a)

where m is the slope of the line and a, b are the x, y coordinates of the given point through which the line passes.

Here in this question, m = 1/3 and a = -2 and b = -6

By substituting in point slope form we get,

y - (-6) = \frac{1}{3}(x - (-2))\\\\y + 6 = \frac{1}{3}(x + 2)

Hence the equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 ​is y+6=\frac{1}{3}(x+2)

3 0
3 years ago
Calculus question?
Ann [662]
Remark
If you don't start exactly the right way, you can get into all kinds of trouble. This is just one of those cases. I think the best way to start is to divide both terms by x^(1/2)

Step One
Divide both terms in the numerator by x^(1/2)
y= 6x^(1/2) + 3x^(5/2 - 1/2)
y =6x^(1/2) + 3x^(4/2)
y = 6x^(1/2) + 3x^2   Now differentiate that. It should be much easier.

Step Two
Differentiate the y in the last step.
y' = 6(1/2) x^(- 1/2) + 3*2 x^(2 - 1)
y' = 3x^(-1/2) + 6x  I wonder if there's anything else you can do to this. If there is, I don't see it.

I suppose this is possible.
y' = 3/x^(1/2) + 6x

y' = \frac{3 + 6x^{3/2}}{x^{1/2}}

Frankly I like the first answer better, but you have a choice of both.
5 0
2 years ago
The equation of the piecewise function f(x) is below. What is the value of f(3)?
JulijaS [17]

Option B: 5 is the value of f(3)

Explanation:

The equation of the piecewise function is given by

f(x)=\left\{\begin{aligned}-x^{2}, & x

We need to find the value of f(3)

The value of the function f can be determined when x=3 by identifying in which interval does the value of x=3 lie in the piecewise function.

Thus, x=3 lies in the interval x\geq 0 , the function f is given by

f(x)=x+2

Substituting x=3 in the function f(x)=x+2, we get,

f(3)=3+2

f(3)=5

Thus, the value of f(3) is 5.

Therefore, Option B is the correct answer.

8 0
2 years ago
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