Which is a solution to (x − 2)(x + 10) = 13?x = 3

x = 8

x = 10

x = 11

Answers

Answer 1
Answer:

The solution to the given algebraic expression (x - 2)(x + 10) = 13 is x = 3

What is an algebraic equation?

An algebraic equation is the combination of variables and their coefficients(usually numbers) with arithmetic operations. The main purpose of an algebraic expression is to determine the value(s) of the variable(s).

From the given information:

(x - 2)(x + 10) = 13

x² + 10x - 2x - 20 = 13

x² + 8x -20 -13

x² + 8x - 33 = 0 (quadratic equation)

Using the quadratic formula, the values of x are - 11 and 3. Since we are considering only the positive integer only, x = 3

Learn more about algebraic equations here:

brainly.com/question/2164351

#SPJ5

Answer 2
Answer:

Answer: X=3

Step-by-step explanation:

1. expand the equation

x^2 + 10x -2x -20 = 13

2. Collect like terms

x^2 + 8x - 20 = 13

3. Simplify

x^2 + 8x = 13 + 20

x^2 + 8x = 33

x^2 = 33 - 8x

4. Substitute answers for guess and check

3^2 = 33 - (8 x 3)

9 = 33 - 24

This equation is correct therefore x = 3


Related Questions

What is the number greatest to least 0.386,0.3,0.683,0.836
Hi, I need help with this equation  x²+y²-4x-6x+9=0
Does anyone know the pattern to this? Does anyone also know the slope to it and where the line intersects at the y-axis and the equation of the line?
What adds to get 12 and multiply to 45
CAN AN EXPERT< ACE< MODERATOR OR GENIUS HELPP ME WITT THIS PLSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!

1. The price of one share of a stock fell 4 dollars each day for 8 days. Howmuch value did one share of the stock lose after 8 days?
2. A credit card company charges a late fee of 25 dollars each time a customer
fails to pay on time. A customer missed the payment 4 times last year. At
the customer's request and out of courtesy, the credit card company
decides to cancel all late fees for that year. Write a numerical expression to
show how much money was return.

Answers

Step-by-step explanation:

1.

$4 for 8 days. that means $4 on each and every day, 8 times.

so, in total that is 4 × 8 = $32

that is how multiplications work.

m×n means that m is added n times (or vice versa and n is added m times).

2.

similar here.

$25 each time the customer missed a payment. and he missed 4 times that year.

the bank returned the fees for all 4 occasions. so,

returned money = 25 × 4 = $100

A car factory produces 100 cars in a day. If c is the total number of cars produced in d days, which equation represents the number of cars as a function of the number of days?

Answers

Answer:

The equation that represents the number of cars as a function of the number of days will be:  c=100d

Step-by-step explanation:

The factory produces 100 cars in a day.

For getting the total number of cars, we need to multiply 100 with the total number of days.

So, the total number of cars produced in d days =100*d= 100d

Given that, the total number of cars produced in d days is c.

So, the equation that represents the number of cars as a function of the number of days will be:  c=100d

c=100d

c is the total, d is the factor
c is dependent variable, d independant

Which number line represents the solutions to |x – 5| = 1?

Answers

i have the same question heres the lines

Answer:

Second option

The temperature increases by 1/4 degree per hour. If it is 75 degrees at'8 AM, at what time will the temperature be 79 degrees?

Answers

It would be 12:00 AM

I’m trying to do this equation but don’t know where the 2 came from when you square it. Can somebody explain where the 2x come from? The 2x on the right side

Answers

okay so at the bottom it says square both sides so you have to square (x+1). when you do that you're basically just doing (x+1)(x+1) and you just use the foil method and end up with x^2 + 2x + 1

Find the probability of spinning a 3 and then a 4 on a spinner with numbers 1-6.

Answers

For the first spinner, you have a 1/6 chance of getting a 3 For the second spin, you have a 1/6 chance of getting a 4 (1/6)(1/6)=1/36