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marin [14]
3 years ago
6

4 pts What is the equation of the line parallel to y=3x+6 that contains the point (3,9)?

Mathematics
1 answer:
Levart [38]3 years ago
8 0

y=3x

Step-by-step explanation:

Lines that are parallel have the same slope. So we are looking for an equation with the same slope of 3x.

Since we have this information, we can plug in the numbers & solve

y=mx+b

9=3(3)+b

9=9+b

0=b

so the equation would be y=3x

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A gravel company sells gravel by the cubic yard and charges a flat delivery fee. The table shows the total cost C based on the a
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Answer:

<h2>$60.</h2>

Step-by-step explanation:

The cost for 0 cubic yards of gravel refers to the y-intercept of the function.

First, we find the constant ratio of change

r=\frac{284-124}{7-2}=\frac{160}{5}=32

The constant ratio of change is 32, that means the cost per cubic yard of gravel is $32.

Now, we just subtract this ratio twice to find the relations until we have x = 0.

124 -32= 92

So, for 1 cubic yard, the cost is $92.

92-32=60

For 0 cubic yards, the cost is $60, that's the y-intercept or the initial condition.

Therefore, the answer is $60.

6 0
3 years ago
Savannah has an action figure collection. She keeps 57 of the action figures on her wall, which is 19% of her entire collection.
beks73 [17]

Answer:

She has a total of 300 action figures.

Step-by-step explanation:

19 : 100 = 57 : x

x = 100/19 * 57

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5 0
3 years ago
Determine whether the polynomial is a difference of squares and if it is, factor it.
patriot [66]
(y-14)(y+14). You just square root 196

3 0
3 years ago
Suppose you have $5000 to invest. A certificate of deposit (CD) earns 6% annual interest, while bonds, which are more risky, ear
sergij07 [2.7K]
If you have $5000 and you invest $2000 in a certificate of deposit, you have $3000 invested in the bonds. Each earns an annual interest of 6% and 8%, respectively. The total interest is shown below,
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6 0
3 years ago
Consider the circle with a radius of 30 cm. What is the approximate circumference of the circle? (use 3.14 as an approximation o
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Answer: 188.4 cm

Step-by-step explanation:

Given

the radius of the circle is r=30\ cm

Also, circumference is given by P=2\pi r

Putting values

\Rightarrow P=2\times 3.14 \times 30=188.4\ cm

The circumference of the circle is 188.4\ cm

8 0
3 years ago
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