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nignag [31]
3 years ago
9

The function with a rate of change of 3/2 whose graph passes through the point (4,10.5)

Mathematics
1 answer:
tamaranim1 [39]3 years ago
4 0

Answer:

y = 1.5x+4.5

Step-by-step explanation:

Let's try to fit this into slope-intercept form, which is y=mx+b, where m=slope and b=y-intercept.

Rate of change means slope, so m=3/2 = 1.5.

y = 3/2x+b

We can plug in the given point, remembering that it's in the form (x,y), so x=4, y=10.5.

y = 3/2x+b

10.5 = 3/2*4 + b

4.5 = b

Plug b back in.

y = 1.5x+4.5

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Answer:

$192.95

Step-by-step explanation:

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140 + 87 = $227

227(15%) = $34.05

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3 years ago
2. Write two numbers that are opposites and each more than 6 units away from 0.
Yuki888 [10]

Answer:

-7, 7

Step-by-step explanation:

Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it. (8, -8)

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3 years ago
I’ll mark as BRANLIEST!!
sesenic [268]

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15. {1, 3, 5, 7}

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7 0
2 years ago
Find the area under the curve y = 27/x3 from x = 1 to x = t. Evaluate the area under this curve for t = 10, t = 100, and t = 100
Darina [25.2K]

Answer:

Step-by-step explanation:

given is a function as

y=\frac{27}{x^3}

We are to find the area form x=1 to x=t

The curve from x=1 lies in the I quadratnt.

So area  above x axis is to be calculated

Area = \int\limits^t_1 {\frac{27}{x^3} } \, dx \\=\frac{-27}{2x^2} \\= \frac{-27}{2t^2}-\frac{-27}{2}\\=\frac{27}{2}(1-\frac{1}{t^2} )

a) When t =10,

area = \frac{27}{2} (1-\frac{1}{10^2} )\\= 13.365

b) t=100

area = \frac{27}{2} (1-\frac{1}{100^2} )\\= 13.49865

c) t=10000

area = \frac{27}{2} (1-\frac{1}{10000^2} )\\= 13.5

6 0
3 years ago
What expression is equal to 8(t+5)
kotykmax [81]
By distributing the 8 into the parentheses, you get the expression 8t + (8*5), or 8t + 40.
4 0
3 years ago
Read 2 more answers
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