9514 1404 393
Answer:
a. 61
Step-by-step explanation:
The remainder theorem tells you the remainder of f(x)/(x -3) is equal to f(3). Using x=3 in the expression, we have ...
4x³ -2x² -10x +1
= ((4x -2)x -10)x +1
= ((4·3 -2)(3) -10)(3) +1 = (10·3 -10)(3) +1 = 20·3 +1
= 61
The remainder from division by (x -3) is 61.
Answer:
mean: 14
median: 13.5
range: 8
Step-by-step explanation:
Hope this helps! Sorry if I am late.
If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:
You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.
This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.
AREA
The formula for the area of a rectangle is:
So we can plug our dimensions into the formula:
So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is <u>175 square feet</u>.
PERIMETER
The formula for the perimeter of a rectangle is:
We can plug our dimensions into the formula:
So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is <u>55 feet</u>.
Answer:
x=-30
Step-by-step explanation:
25x+15-5x+5=-50
20x+10=-50
20x+10-10=-50-10
2x=-60
x=60/2
x=-30
Hope it helps!
(I tired hard:))
Answer:
There will be 135 squares in total. Changing the order of the factors wont change the result.
Step-by-step explanation:
(i am assuming that sqaures = sqaure pieces)
Each section has 3 rows of 15 square pieces, therefore each section has 3*15 = 45 sqaure pieces. Thus, the complete guilt will have 45*3 = 135 square pieces. Since all we do were multiplications, changing the order of the factors wont change the value of the product.