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victus00 [196]
2 years ago
12

Which is a solution to the equation? (x −2)(x + 5) = 18 x = −10 x = −7 x = −4 x = −2

Mathematics
1 answer:
Leona [35]2 years ago
4 0

Answer:

Solutions:

x=-7

x=4

Step-by-step explanation:

(x-2)(x + 5) = 18

Expanding the factored form:

x^2+5x-2x-10=18

x^2+3x-28=0

Factoring the second-degree polynomial:

(x+7)(x-4)=0

This is true for

x=-7 \text{ or } x=4

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Jennifer has a square bedroom. The area of her room is 144 ft2. What is the length of one side of Jennifer’s room?
Jobisdone [24]

Answer:

Option B. 12\ ft

Step-by-step explanation:

we know that

The area of a square is equal to

A=x^{2}

where

x is the length side of the square

In this problem we have

A=144\ ft^{2}

substitute and solve for x

144=x^{2}

suqre root both sides

x=12\ ft

7 0
2 years ago
sarah invests £9600 at a simple interest rate of 8% per year. Work out the value of the investment after 3 years
andre [41]

Answer:

the value of the investment after 3 years=  £11,904

Step-by-step explanation:

sarah invests £9600 at a simple interest rate of 8% per year

number of years = 3

Formula for simple interest

I = P*n* r

P is the initial amount invested= 9600

r is the rate of interest = 8% = 0.08

n = number of years = 3

Now we find interest using formula

I = 9600 * 0.08 * 3= 2304

Interest amount is 2,304

Now we add the interest with the initial amount to get the value of investment after 3 years

9600 + 2304= 11904

6 0
2 years ago
A gene can be either type A or type B, and it can be either dominant or recessive. If the gene is type B, then there is a probab
WARRIOR [948]

Answer: The probability that a gene is of type A is 0.29.

Step-by-step explanation:

Let A be the event of type A.

Let B be the event of type B.

Let D be the event of dominant.

So, P(B and D) = 0.22

P(D|B)=0.31

So, Using the conditional probability, we get that

P(B|D)=\dfrac{P(B\cap D)}{P(B)}\\\\0.31=\dfrac{0.22}{P(B)}\\\\P(B)=\dfrac{0.22}{0.31}=0.71

So, the probability that a gene is of type A is given by

P(A)=1-P(B)=1-0.71=0.29

Hence, the probability that a gene is of type A is 0.29.

8 0
2 years ago
Read 2 more answers
What is a fraction equation that equals 1
Svetach [21]

Any fraction in which the numerator's value is the same as the denominator's value will equal 1. For example:

7/7, 6/6, 500/500, etc.

<em>~Rise Above the Ordinary</em>

8 0
2 years ago
Read 2 more answers
The manager of a shopping mall distributed a customer-satisfaction survey by handing it to people as they came through one of th
Nina [5.8K]

Answer:

No. The results of the survey cannot be generalized to the population of all customers of the shopping mall.

Step-by-step explanation:

Survey results are biased, because data is collected from customers who came trough one specific door of the mall.

Some of the customers <em>may be using some other door </em>where satisfaction survey is not given to these people while passing the door.

Therefore survey results does not reflect thoughts of the population of all customers.

4 0
2 years ago
Read 2 more answers
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