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insens350 [35]
3 years ago
8

Use the zero product property to find the solutions to the equation x^2 + x -30=12

Mathematics
2 answers:
Alla [95]3 years ago
6 0

Answer:

The solutions are x = -7, 6.

Step-by-step explanation:

To find the solutions, move everything to one side of the equation so the equation is equal to 0. Then factor. Set the factors equal to 0 and solve for x.

x^2 + x - 30 = 12\\x^2 + x -42=0\\(x+7)(x-6) = 0

x+7 = 0

x = -7

and

x-6 = 0

x = 6

The solutions are x = -7, 6.

Harrizon [31]3 years ago
5 0

Answer:

A on edge:)

Step-by-step explanation:

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The length of a rectangle is 5 more than twice the width. the perimeter is 130 inches. what is te area
Brut [27]
The length of a rectangle:
L =  2 W  + 5
The perimeter:
P = 2 L + 2 W
130 = 2 · ( 2 W + 5 ) + 2 W
130 = 4 W + 10 + 2 W
130 - 10 = 6 W
120 = 6 W
W = 120 : 6
W = 20 in
L = 2 · 20 + 5
L = 40 + 5
L = 45 in.
Finally the area:
A = L · W
A = 20 · 45
A = 900 in²
3 0
3 years ago
Read 2 more answers
A paper bag contains a mixture of 3 types of candy. there are 10 packs of fuzzy peaches, 7 packs of sour keys, and 3 packs of ne
sweet-ann [11.9K]

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

<h3>How to calculate the probability?</h3>

a. Based on the information given, the probability that the person will be able to keep a pack of fuzzy peaches will be:

= 10/(10 + 7 + 3) × 10/(10 + 7 + 3)

= 10/20 × 10/20

= 1/4

= 0.25

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

b. The probability to be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 7/20) + (3/20 × 3/20)

= 100/400 + 49/400 + 9/400

= 158/400

= 0.395

The probability to be able to keep any of the candy will be 0.395.

c. The probability that you will not be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 13/20) + (3/20 × 17/20)

= 100/400 + 91/400 + 51/400

= 242/400

= 0.605

The probability that you will not be able to keep any of the candy will be 0.605.

Learn more about probability on:

brainly.com/question/24756209

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6 0
2 years ago
Y=-6x+2<br><br> Rewrite in standard form
Korolek [52]

Answer:

0.000002

Step-by-step explanation:

since its -6+2 you need to move the decimal place in 2, 6 places foward. So the number would go from 2 to 0.000002.

6 0
3 years ago
Read 2 more answers
Pls help me<br>I m giving brainliest <br>​
navik [9.2K]

Step-by-step explanation:

the general line equation format is

y = ax + b

a is the slope or gradient of the line. it is the ratio of "y coordinate change / x coordinate change".

b is the y-intercept, the y value when x = 0. we get this by putting one point into the equation and solve for b.

(i)

A (3, 5)

B (5, 9)

x changes by +2 (from 3 to 5).

y changes by +4 (from 5 to 9).

so, the slope (or gradient) is +4/+2 = 2

(ii)

the semi-finished equation is

y = 2x + b

let's use A to get b :

5 = 2×3 + b = 6 + b

b = -1

and the full equation is

y = 2x - 1

(iii)

for point (4, k) we get

k = 2×4 - 1 = 8 - 1 = 7

3 0
2 years ago
Which expression is equivalent to 6x-9,<br> 3
Nana76 [90]

Answer:

the expresion its equal at the d9feremce between you and the excercise so its 7

6 0
2 years ago
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