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3 years ago

Solveby factoring : p2 + 8p + 12 = 0 (show steps please)

Mathematics

1 answer:

kramer3 years ago

8 0

Answer:

(p + 6)(p + 2)

Step-by-step explanation:

I believe you meant p^2 + 8p + 12 = 0, in which " ^ " indicates exponentiation.

Note that 12 = 2*6, and that these two factors, 2 and 6, add up to 8. Thus,

p^2 + 8p + 12 = 0 = (p + 6)(p + 2)

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Select the correct answer.

Radda [10]

Answer:

$(-1\frac{1}{3}, 4\frac{3}{5})$

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = $m = \frac{rise}{run} = \frac{2}{1} = 2$

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = $m = \frac{rise}{run} = -\frac{3}{1} = -3$

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

$x = \frac{6}{-5} = -1\frac{1}{5}$

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

$y = -3\frac{-6}{5} + 1$

$y = \frac{18}{5} + 1$

$y = \frac{18 + 5}{5}$

$y = \frac{23}{5}$

$y = 4\frac{3}{5}$

✅The exact solution would be: $(-1\frac{1}{3}, 4\frac{3}{5})$

3 0

3 years ago

Help!!! ASAP pleaseee!!

Alla [95]

Answer:

1. The two numbers are 4 and 8.

Step-by-step explanation:

1) variables: x and y

2) x + y = 12, y - x = 4

3) graph using desmos or another graphing calculator

4) the solution is x = 4, y = 8, or 4 and 8. This means that 4 and 8 can be added to equal 12, and the difference between them is 4.

5 0

3 years ago

What is the best estimate of 687 × 391? 280,000 210,000 240,000 180,000

ra1l [238]

Answer:

Step-by-step explanation:

Estimating a sum by rounding to get the best estimate is the goal of this lesson. Notice that we try to estimate. We don't need to have an exact answer!

Notice that for numbers with two digits, there can only be one estimate because you can only round to the tens place.

Estimate the following sums: 36 + 21, 74 + 15, and 85 + 24

36 + 21 = 40 + 20 = 60

74 + 15 = 70 + 20 = 90

7 0

2 years ago

Read 2 more answers

A number cube is rolled 25 times and lands on 2 five times. What is the experimental probability of landing on 2?

olga nikolaevna [1]

Answer:

5/25, 1/5, or 20%

Step-by-step explanation:

Based on the experiment the dice lands on 2 five times, giving you the experimental probability

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2 years ago

2.3, 2 4/5 and 2.6 in order

Mazyrski [523]

2.3, 2.6, 2 4/5. Hope this helps.

4 0

4 years ago