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dedylja [7]
3 years ago
13

when solving the equation x^2-8x-7=0 by completing the square which equation is a step in the process

Mathematics
2 answers:
grigory [225]3 years ago
7 0

Step-by-step explanation:

hope it's helpful.........

xxTIMURxx [149]3 years ago
5 0
X^2-8x-7=0
Add 7 to both sides
X^2-8x=7
Now use formula
(B/2a)^2
(-8/2)^2= 16
Add 16 to left subtract from right to get
X^2-8x+16=-9
Now factor into
(X-4)^2=-9
For your final answer
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If a person earns $275 per week, how much is earned in 26 weeks
WARRIOR [948]

Answer:

$7150

Step-by-step explanation:

To find how much is earned, take the amount earned per week times the number of weeks

275*26 =7150

4 0
3 years ago
You have$560 in an account which pays 4.8% compounded annually. If you invest your money for 8 years, then how many dollars of i
SCORPION-xisa [38]

Answer:

$ 254.85

Step-by-step explanation:

Total amount invested = $ 560

Interest rate = r = 4.8% = 0.048

Time in years = t = 8 years

The formula for compound interest is:

A =P(1+\frac{r}{n})^{nt}

Here,

A is the total amount accumulated after t years. P is the amount invested initially and n is the compounding periods per year. Since in this case compounding is done annually, n will be 1. Using the values in the above formula, we get:

A=560(1+\frac{0.048}{1})^{8} = \$ 814.85

Thus, the total amount accumulated after 8 years will be $ 814.85

The amount of interest earned will be:

Interest = Amount Accumulated - Principal Amount

Interest = $ 814.85 - $ 560 = $ 254.85

By the end of 8 years, $ 254.85 would be earned in interest.

7 0
3 years ago
A poll reported that 66 percent of adults were satisfied woth the job the major airlines were doing. Suppose 25 adults are selec
777dan777 [17]

Answer:

A)Option D

B)P(X = 15) = 0.1325

Step-by-step explanation:

A) From the question, the information given follows binomial distribution because there are two mutually exclusive outcomes for each​ trial, there is a fixed number of trials. The outcome of one trial does not affect the outcome of ​another, and the probability of success is the same for each trial.

So option D is correct.

B) From the question, we are told that the poll reported that 66 percent of adults were satisfied with the job. Thus, probability is; p = 0.66

Let X be the number of adults satisfied with the job. Since 25 are selected,

Thus;

P(X = 15) = C(25, 15) * (0.66)^(15) * (1 - 0.66)^(25 - 15)

P(X = 15) = 3268760 × 0.00196407937 × 0.00002064378

P(X = 15) = 0.1325

3 0
3 years ago
Points A and B lie on a circle centered at point O. If OA=5 and lenth of AB/circumference=1/4 what is the area of sector AOB? Us
MakcuM [25]
<h3>Given</h3>
  • arc AB of circle O is 1/4 of the circumference
  • radius of circle O is 5
  • pi is 3.14
<h3>Find</h3>
  • area of sector AOB
<h3>Solution</h3>

Since arc AB is 1/4 of the circumference, the central angle AOB will be 1/4 of a circle, so π/2 in radians. The area of a sector is given by

... A = (1/2)r²·θ

where θ is the central angle in radians and r is the radus.

The area is ...

... A = (1/2)·5²·π/2 = 25π/4

... A ≈ 19.625

The area of the sector is about 19.63 square units.

4 0
3 years ago
There are four solutions for 61. Three of them are: 61 = 72 + 22 + 22 + 22 , 61 = 52 + 42 + 42 + 22 and 61 = 62 + 52 .What are t
laila [671]
61 = 36 + 16 + 9 = 6² + 4² + 3²
6 0
3 years ago
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