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d1i1m1o1n [39]
2 years ago
8

For the table below, determine the function rule, and find each of the missing y-values.

Mathematics
1 answer:
anygoal [31]2 years ago
6 0
The answer is 8 and 13

<span>
y = ax + b
y = 4, x = 1        </span>⇒  4 = a + b
y = 6, x = 3       ⇒  6 = 3a + b

Solve the system of equation:
a + b = 4
3a + b = 6
______
b = 4 - a
3a + b = 6
______
3a + 4 - a = 6
2a + 4 = 6
2a = 6 - 4
2a = 2
a = 2/2 = 1
b = 4 - a = 4 - 1 = 3

So, the function rule is: y = x + 3

Thus, if x = 7, then y = 7 + 3 = 10
If x = 10, then y = 10 + 3 = 13


x y
1 4
3 6
4 7
5 8
7 10
10 13
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<u>Answer:</u>

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<u>Step-by-step explanation:</u>

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Solve the system by the substitution method. Show your work.<br> 2y - x = 5<br> x^2 + y^2 - 25 = 0
Elza [17]
2y - x = 5
x^2 + y^2 - 25 = 0

x = 2y - 5

(2y-5)^2 + y^2 - 25 = 0
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4y^2 - 20y + 25 + y^2 - 25 = 0
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1 kilogram
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2 years ago
A pharmaticeutical company is making a new medicine capsule shaped like a cylinder with a half sphere at each end. The
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Answer:

339.12 cubic millimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

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so

step 1

Find the volume of the cylinder

The volume is given by

V=Bh

where

B is the area of the base of cylinder

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we have

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substitute

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step 2

Find the volume of the sphere

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substitute

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step 3

Adds the volumes

226.08+113.04=339.12\ mm^3

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