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Anvisha [2.4K]
3 years ago
9

Solve the proportion: 5/x+7=3/x+3

Mathematics
1 answer:
Allushta [10]3 years ago
7 0

Answer:

x=3

Step-by-step explanation:

cross multiply

5(x+3)=3(x+7)

5x+15=3x+21

5x+15-3x=3x+21-3x

2x+15=21

2x+15-15=21-15

2x=6

x=3

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Consider the function c(x)=(x+3) (x-5)2 what are the zeros of c(x)
vekshin1

Answer:

The zeroes would be -3 and a double root at 5.

Step-by-step explanation:

We can find this by first expanding the function.

c(x) = (x + 3)(x - 5)^2

c(x) = (x + 3)(x - 5)(x - 5)

Then we can solve for the zeroes by setting each parenthesis equal to 0 and solving.

x + 3 = 0

x = -3

x - 5 = 0

x = 5

x - 5 = 0

x = 5

8 0
3 years ago
The diameter of the moon is 2,160 miles. A model has a scale of 1 in : 150 mi. What is the diameter of the model?
Charra [1.4K]

Answer:

The diameter of the model is 14.4 inches.

Step-by-step explanation:

The Diameter of the moon = 2,160 miles

The scale on the model represents 1 in = 150 miles

Let the model represents k inches in 2,160 miles.

So, by the Ratio of Proportionality:

\frac{1}{150}   = \frac{k}{2160}

⇒k = \frac{2160}{150} \\\implies k =  14.4

or, k = 14.4 inches

⇒On the scale 2160 miles is represented as 14.4 inches

    Hence the diameter of the model is 14.4 inches.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

4 is one-eighth (1/8) of 32, which would be represented by the decimal .125 or 0.125

4 0
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5 0
3 years ago
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