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3 years ago

Complete the equivalent equation for -7x-60 =x^2 +10x

Mathematics

1 answer:

alex41 [277]3 years ago

6 0

Answer:

(x+12)(x+5)

Step-by-step explanation:

Formula use: a²+bx+c

Make one side equal to zero:

Original:

-7x-60 =x² +10x

New:

x² + 17x + 60

Multiply A with C

New:

(1)x x 60 = 60

Find factors of 60 that when added, equal to 17.

New:

10 × 6, 60 × 1, 20 × 3, 5 × 12, 4 × 15

5 times 12 equal 60, but when added equal to 17.

Replace the 17 with 5 and 12

New:

x² + 5x + 12x + 60

Break them off into two equations

New:

x² + 5x l 12x + 60

Divide each equation into it's simpilest form. Make sure the numbers in the ( ) are the same.

New:

x(x + 5) l +12(x+5)

Answer: (x+12)(x+5)

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Rewrite 25 and 125 as exponents that have the same base. Write your answers #^# and

dangina [55]

Answer:

25 = 5^2
125 = 5^3

Step-by-step explanation:

Both 25 and 125 are powers of 5. As such, they can be written as the powers they are:

25 = 5·5 = 5^2

125 = 25·5 = 5·5·5 = 5^3

3 0

3 years ago

ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours. Bart's bikes rents bikes for $30 per day. R

lyudmila [28]

Bart company charges a lower rate. It is lower by rate $ 0.5 per hour

<h3>Solution:</h3>

Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours

Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours

To find: company that charges lower rate

Let us find the hourly rate of Ace and Bart

$\text {hourly rate }=\frac{\text { Rental price }}{\text { total time in a day }}$

Hourly rate of Ace company:

Rental price = $28

total time in a day 8 hours

$\text {hourly rate }=\frac{28}{8}=3.5$

So the hourly rate of Ace company is $ 3.5 per hour

Hourly rate of Bart company:

Rental price = $ 30

total time in a day 10 hours

$\text {hourly rate }=\frac{30}{10}=3$

So the hourly rate of Bart company is $ 3 per hour

Comparing hourly rate of both companies

Ace company is $ 3.5 per hour

Bart company is $ 3 per hour

Bart company < Ace company

3 < 3.5

Thus bart company charges a lower rate

<h3>How much lower?</h3>

hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5

So, it is lower by rate $0.5 per hour

6 0

3 years ago

Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and ob

Alexxx [7]

Question options:

The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.

We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river

Answer:

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river

Explanation:

Formula to calculate standard deviation = √p(1-p)/n

Given p= population proportion

n= sample size

From the question,

We are given p(population proportion of catfish in the river)= 0.47

n(sample size of fish collected from river) = 25

The standard deviation using the formula above = √0.47(1-0.47)/25

= 0.0998

The 10% condition demands that a sample size be not less than 10% of the population

To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,

10% of 250= 0.10×250=25 fish

Therefore the option B chosen is correct

8 0

3 years ago

Could someone help me? Thanks <3

earnstyle [38]

Answer:

Step-by-step explanation:

100 - 35 = 55 dollars remaining

55/20 = 3.25 hours until no money

4 0

2 years ago

Read 2 more answers

Robert is a high school basketball player. In a particular game, he made some three point shots and some free throws (worth one

Oksanka [162]

Answer:

let t = number of three-point shots

let f = number of free throw shots

Step-by-step explanation:

t + f = 9 (he made a total of 9 shots altogether)

3t + 1f = 23 (number of shots multiplied by their point value)

substitution method: t = 9 - f

3(9 - f) + f = 23

27 - 3f + f = 23

-2f = -4

f = 2

find 't': t + 2 = 9

t = 7

8 0

3 years ago