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3 years ago

Find the factors and zeros of 6x^2 +8x-28=2x^2 + 4

Mathematics

1 answer:

Mice21 [21]3 years ago

4 0

Answer:

First solve the equation:

6x^2 + 8x -28 = 2x^2 + 4

=> 6x^2 - 2x^2 + 8x - 28 -4 = 0 => 4x^2 + 8x - 32 = 0

Extract common factor 4:

=> 4[x^2 + 2x - 8] = 0

Now factor the polynomial:

4(x + 4) (x - 2) = 0

=> the solutions are x + 4 = 0 => x = -4, and x - 2 = 0 => x = 2.

So the answer is the option B: 4(x + 4)(x - 2); {-4, 2}

HOPE THIS HELPS! :D

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Complete the paragraph below. The standard deviation is used in conjunction with the ______ to numerically describe distributio

Bumek [7]

Answer:

The standard deviation is used in conjunction with the mean to numerically describe distributions that are bell shaped. The mean measures the center of the distribution, while the standard deviation measures the spread of the distribution.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

The mean is the average value of the measures while the standard deviation measures how spread the measures are from the mean. So

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3 years ago

Determine the intercepts of the line that passes through the following points

shepuryov [24]

Answer:

(2,0) - x -intercept

(0, 1.5) - y-intercept

Step-by-step explanation:

The slope of the points can be found by writing a ratio of vertical change to horizontal change. It can be found in the table by subtracting y values from each other and subtracting x values from each other. The y values decrease by 3 each time or -6 - -3 = -6 + 3 = -3.

The x values increase by 4.

So the rate of change is -3/4.

This means if you go backwards on the table the previous point would be (2, 0). This is the x-intercept.

To find the y-intercept, you must go further back. Going back 2 more units would make the table appear as:

x y

-2 3

0 ???

2 0

6 -3

10 -6

14 -9

Since the y values decrease by 3 each time and we went back half the usual amount, then the value would be 1.5.

5 0

3 years ago

2 less than 1/8 of some number W can be expressed algebraically as

Yuliya22 [10]

The expression would be (w divided by 1/8) - 2

3 0

3 years ago

1.) A tower casts a shadow that is 60 feet long when the angle

Fynjy0 [20]

Answer:

128.67 ft

Step-by-step explanation:

Let the height of the tower be x feet.

$\tan \: 65 \degree = \frac{x}{60} \\ \\ 2.1445069205 = \frac{x}{60} \\ \\ x = 2.1445069205 \times 60 \\ \\ x = 128.670415 \\ \\ x = 128.67 \: ft$

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3 years ago

What is the probability of rolling a 6 and then rolling a number less than 4

frozen [14]

I believe that the answer should be 5/6

6 0

3 years ago