The solution to the given algebraic expression (x - 2)(x + 10) = 13 is x = 3
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
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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
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.
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
Answer:
The equation that represents the number of cars as a function of the number of days will be:
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 days
Given that, the total number of cars produced in days is
.
So, the equation that represents the number of cars as a function of the number of days will be:
Answer:
Second option