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stira [4]
3 years ago
6

The sum of three consecutive even numbers is 312. What is the value of the smallest number?

Mathematics
1 answer:
andrezito [222]3 years ago
4 0

Answer: 102

Step-by-step explanation:

Let the numbers be a, a+2 and a+4. Since the sum of three consecutive even numbers is 312, this will be:

a + a+2 + a+4 = 312

3a + 6 = 312

3a = 312 - 6

3a = 306

a= 306/3

a = 102

Therefore, the smallest number is 102.

Other numbers are 104 and 106.

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The length of a rectangle is 8 inches more than twice its width. The area of the rectangle is 120 square inches. How many inches
Irina-Kira [14]

Answer:

L = 20 inches

Step-by-step explanation:

w = width

L = length

area = 120

W x L = 120

L - 8 = 2W  then L = 2W + 8

substitute for L:

W x (2W + 8) = 120

2W² + 8W -120 = 0

(2W - 12)(W + 10) = 0

2W-12 = 0

2W = 12

W = 6

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3 years ago
Select the three ratios that represent the numbers of blue marbles to red marbles, there are 6 blue marbles and 9 red marbles
Agata [3.3K]

Answer:

6:9 or (2:3)

Step-by-step explanation:

A ratio is a term that gives comparison of values. It helps to determine

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Find the factors of function f. Based on the factors, which statement is true about the graph of function f? A. The graph crosse
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The option (D) the graph crosses the x-axis at the point (2, 0) is correct because the graph crosses x-axis at points (0, 0), (5, 0), (-2, 0), and (2, 0).

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The question is incomplete.

The correct question is in the picture please refer to the attached picture.

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f(x) = x⁴ - 5x³ - 4x² + 20x

By using factorization method:

\rm f(x) =x\left(x^3-5x^2-4x+20\right)

\rm f(x) =x\left(x-5\right)\left(x+2\right)\left(x-2\right)

By using zero product rule:

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