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BabaBlast [244]
3 years ago
13

the cost of renting at a lake is $80 per hour plus $16 for lifejackets. Write an equation in slope-intercept form that can be us

ed to calculate the total amount you would pay for using this sailboat. The equation that represents this situation is...
Mathematics
1 answer:
yan [13]3 years ago
7 0

y=80x+16 with x representing the amount of hours rented.

Slope-intercept form is:

y=mx+b

In this case, y represents the total cost. m represents the amount per hour, x represents the amount of time, and b represents the number you add.

You would plug in the information you have (m=80 as it is $80 per hour; b=16 as it is added to the final sum):

y=80x+16

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Answer: the one with the 12,18 and 22 step by step equation

hope this helped

Step-by-step explanation:

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Solve the two step equation 8x+38=60
Paladinen [302]

Answer:

x = 2.75

Step-by-step explanation:

The goal here is to isolate the variable, or to get x by itself. We can do this by using simple math. The first step is to move every thing to the opposite side of x. We do this by subtracting 38 from 60, which leaves us with 22. Now we want divide 22 by 8. After doing this we are left with the equation x = 2.75. I know that at first fractions and decimals seem annoying and they feel like a lot of work. But if you take a second to really look at them, you will realize they are not that bad. As in most cases with math, looks can be deceiving

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3 years ago
Find the lateral surface area.
sveta [45]

Answer:

900 yd²

Step-by-step explanation:

You can draw the pattern that would need to be folded to make the figure, then find the area of that pattern (or "net"). It consists of a rectangle 10 yards wide and 60 yards long, together with another that is 20 yards long and 15 yards wide. The total area is the sum of these ...

... area = (60 yd)(10 yd) + (20 yd)(15 yd)

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Step-by-step explanation:

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3 years ago
Y=x^2-6x-16 in vertex form
satela [25.4K]

Answer:

y=(x-3)^{2} -25

Step-by-step explanation:

The standard form of a quadratic equation is y=ax^{2} +bx+c

The vertex form of a quadratic equation is y=a(x-h)^{2} +k

The vertex of a quadratic is (h,k) which is the maximum or minimum of a quadratic equation. To find the vertex of a quadratic, you can either graph the function and find the vertex, or you can find it algebraically.

To find the h-value of the vertex, you use the following equation:

h=\frac{-b}{2a}

In this case, our quadratic equation is y=x^{2} -6x-16. Our a-value is 1, our b-value is -6, and our c-value is -16. We will only be using the a and b values. To find the h-value, we will plug in these values into the equation shown below.

h=\frac{-b}{2a} ⇒ h=\frac{-(-6)}{2(1)}=\frac{6}{2} =3

Now, that we found our h-value, we need to find our k-value. To find the k-value, you plug in the h-value we found into the given quadratic equation which in this case is y=x^{2} -6x-16

y=x^{2} -6x-16 ⇒ y=(3)^{2} -6(3)-16 ⇒ y=9-18-16 ⇒ y=-25

This y-value that we just found is our k-value.

Next, we are going to set up our equation in vertex form. As a reminder, vertex form is: y=a(x-h)^{2} +k

a: 1

h: 3

k: -25

y=(x-3)^{2} -25

Hope this helps!

3 0
3 years ago
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