<h3>
Answer: -7</h3>
Explanation:
Pick any term. Subtract off the previous one to find the common difference.
- term2 - term1 = 6-13 = -7
- term3 - term2 = -1-6 = -7
- term4 - term3 = -8-(-1) = -8+1 = -7
And so on. You only need to pick one of those to show as your steps to your teacher. However, doing all three subtractions is a good way to get practice in seeing how we have an arithmetic sequence. The common difference must be the same each time.
We subtract 7 from each term to get the next term, i.e. we add -7 to each term to get the next one.
Answer:
I'll give you the answer. This is system of equations, yes?
The cost of the carpet is $526.75
<h3>Area of triangle and rectangle</h3>
Based on the information given:
The carpet costs $1.75 per square foot
Get the area of the carpet
Area = 24(7) + 7(15) + 0.5(28) + 0.5(28)
Area of the composite figure = 273 + 28
Area of the composite figure = 301 ft²
Cost of the carpet = 301 * 1.75
Cost of the carpet = $526.75
Hence the cost of the carpet is $526.75
Learn more on area of composite figure here: brainly.com/question/21135654
The polynomial p(x)=x^3-6x^2+32p(x)=x 3 −6x 2 +32p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 6, x, squar
STatiana [176]
Answer:
<h3>The remainder is zero</h3>
Step-by-step explanation:
Given the polynomial function p(x)=x^3-6x^2+32, if x-4 is a factor, then <u>we can find the remainder if the polynomial is divided by x -4.</u>
First we need to equate the function x - 4 to zero and find x;
x - 4 = 0
x= 0+4
x = 4
Next is to substitute x = 4 into the expression p(x)=x^3-6x^2+32
p(x)=x^3-6x^2+32
p(4)=(4)^3-6(4)^2+32
p(4) = 64 - 96 + 32
p(4) = 0
Hence the remainder when x-4 is divided by the polynomial is zero
