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Marat540 [252]
3 years ago
10

Which three steps are correct when solving this quadratic equation by completing the square? X^2-10x=39

Mathematics
1 answer:
sergey [27]3 years ago
4 0

Step-by-step explanation:

Any answer that involes,

Step 1: Complete the Square

{x}^{2}  - 10x = 39

( \frac{  - 10}{2} ) {}^{2}  = 25

{x}^{2}  - 10x + 25 = 64

Step 2: Turn the left side into a binomial

(x - 5) {}^{2}  = 64

Step 3: Solve for x.

x - 5 = +  -  8

x - 5 = 8

x = 13

OR

x - 5 =  - 8

x =  - 3

X=-3 or X=13

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120% of what number is 48
postnew [5]

Answer:

40

120 percent (calculated percentage %) of what number equals 48? Answer: 40.

8 0
3 years ago
write about how many rotations does the bike wheel make when the bike travels 1 mile explain or show your reasoning
tatuchka [14]

Answer:

it takes 11,600

Step-by-step explanation:

because a mile is 5,280 feet and both of you feet are moving the wheels and that should be multiplied by 2.

7 0
3 years ago
What are all of the real roots of the following polynomial? f(x) x^4-24x^2-25
Greeley [361]

<u>Answer:</u>

x = ±5

<u>Step-by-step explanation:</u>

We are given the following polynomial function and we are to find all of its real roots:

x^4-24x^2-25

Let y=x^2 so we can now write it as:

y^2-24y-25

Factorizing it to get:

(y^2+y)+(-25y-25)

y\left(y+1\right)-25\left(y+1\right)

\left ( y + 1 \right ) \left ( y - 2 5 \right)

Substitute back y=x^2 to get:

\left ( x^2 + 1 \right ) \left ( x^2 - 25 \right )

\left ( x^2 + 1 \right ) \left ( x + 5 \right ) \left ( x - 5 \right )

The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.

3 0
3 years ago
Read 2 more answers
he XO Group Inc. conducted a survey of brides and grooms married in the United States and found that the average cost of a weddi
ahrayia [7]

Answer:

A. P(X<20,000) = 0.0392

B. P(20,000 < x < 30,000) = 0.488

C. Amount = $39,070

Step-by-step explanation:

From XO group website

Cost of a wedding = $29,858

Mean, μ = $29,858

Standard Deviation, σ =$5,600

a. Calculating the probability that a wedding costs less than $20,000

P(X<20,000)?

First, the z value needs to be calculated.

z = (x - μ)/σ

x = 20,000

z = (20,000 - 29,858)/5600

z = -1.76

So, P(X<20,000) = P(Z<-1.76)

From the z table,

P(Z<-1.76) = 0.0392

P(X<20,000) = 0.0392

b. Calculating the probability that a wedding costs between $20,000 and $30,000

P(20,000 < x < 30,000)

First, the z value needs to be calculated.

z = (x - μ)/σ

When x = 20,000

z = (20,000 - 29,858)/5600

z = -1.76

When x = 30,000

z = (30,000 - 29,858)/5600

z = 0.02

P(20,000 < x < 30,000) = P(-1.76 < z <0.02) --- using the z table

P(-1.76 < z <0.02) = 0.508 - 0.0392

P(-1.76 < z <0.02) = 0.4688

P(20,000 < x < 30,000) = 0.488

c. Using the following formula, we'll get the amount it'll a wedding to be among the 5% most expensive

z = (x - μ)/σ where x = amount

Make x the subject of formula

x = σz + μ

Fist we need to get the z value of 5%

z0.05 = 1.645

x = σz + μ becomes

x = 5600 * 1.645 + 29,858

x = $39,070

Amount = $39,070

5 0
2 years ago
Ugh help again i had to do it again
Liono4ka [1.6K]

Answer:

60

Step-by-step explanation:

7 0
2 years ago
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