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Mademuasel [1]
3 years ago
11

Find all real solutions: x² - x - 12 = 0

Mathematics
1 answer:
Andrej [43]3 years ago
8 0
Factor the equation. Remember the value should add to the b value and multiply to the c value.

x^2-x-12= 0
(x-4)(x+3)=0

Use the zero product property to find roots
x-4=0
x=4

x+3=0
x=-3

Final answer: x=-3, x=4
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100 points to answer! Please answer quick!
hammer [34]

Answer:

im just doing this for the points lol

Step-by-step explanation:

3 0
3 years ago
Isabella deposited $2,000 in an account that earns 5% simple annual interest. After one year, how much interest will her investm
lorasvet [3.4K]

Answer:

2100

Step-by-step explanation:

5% of 2000 = 2000 x 1/20 = 100.

2000+100=2100

Also, if it said how much interest will her investment PAY, then it would be $100 because of the 5% simple interest.

7 0
3 years ago
Read 2 more answers
The graph shows how the mass of copper
Alex777 [14]

Answer: 8 1/4g/cm³

Step-by-step explanation:

Given the graph :

The rate of change in the mass of copper with respect to volume :

To obtain this, we find the slope or gradient of the graph:

Gradient = Δy / Δx = (y2 - y1) / (x2 - x1)

Drawing a right angled triangle on the anybpart of the line of best fit:

y2 = 40 ; x2 = 4.75 ; y1 = 16 ; x1 = 2

(y2 - y1) / (x2 - x1)

= (40 -16) / (4.75 - 2)

= 24 / 2.75

= 2400/275

= 8.727 g/cm^3

Due to unit and graph scale,, the slope is closest to 8 1/4g/cm³

6 0
3 years ago
The life expectancy of a typical lightbulb is normally distributed with a mean of 2,000 hours and a standard deviation of 27 hou
LiRa [457]
The first standard deviation covers about 68% of the distribution in a normal curve. (34% higher, 34% lower than the mean). the second standard deviation covers 28% (14% between 1st and 2nd SD above the mean, 14% between 1st and 2nd SD below the mean).  In our case
1 Standard deviation = 27 hours (we will approximate to 25 hours)
Mean = 2,000 

This means that 34% of the distribution is between 1975 and 2000 hours       (within 1 standard deviation below the mean)

2,000- 2,050 covers the range within 50 hours above the mean.
50 hours is roughly 2 standard deviations. The second standard deviation (standard deviation between 1 and 2) covers around 14% on each side of the distribution.
50 hours is roughly 2 standard deviations, which means we add 34% + 14% = 48%. 
The range of 1,975 - 2,050 hours covers 34% of the distribution below the mean and 48% of the distribution above the mean. 
This means that the probability that the light bulb will last somewhere within this range is 34% + 48% = 82%

The closest answer is 79%. The difference can be explained by the fact that, for simplicity, we approximated the standard deviation to be ~25 hours instead of the real standard deviation of 27 hours. 
6 0
4 years ago
Read 2 more answers
3(x+6)+6x+9=7x+8 solve for x
fomenos

Answer:

x=-19/2

Step-by-step explanation:

3(x+6)+6x+9=7x+8

3x+18+6x+9=7x+8

9x+27=7x+8

9x+27-7x=8

2x+27=8

2x=8-27

2x=-19

x=-19/2

7 0
3 years ago
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