Estimate then find the sum or difference 8.5+1.8

Answers

Answer 1
Answer: Estimating usually means rounding to the nearest whole number to make it so that you can do the math in your head.
So, 8.5 becomes 9, and 1.8 becomes 2.
The sum would then be 11
And the difference is 7


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What is the point slope form of a line with a slope of 5 and goes through the
point (1,5)? *

Answers

Answer:

y-5=5(x-1)

Step-by-step explanation:

Point slope form is: y-y1=m(x-x1)

y1 here is 5 and x1 is 1, because those are the points in the ordered pair given.

y-5=x-1 would be your base answer, but you need to account for the slope as well, which is m. So, y-5=5(x-1)

Hope this helped! :)

Answer: y+1=-5(x-2)

Step-by-step explanation:

Factoring review. factor the following polynomials by determining a gcf. 21x-15y

Answers

The GCF of 21 and 15 is 3. The are no variables in common so the factor =
3(7x -5y)

Which expression is equivalent to (6x3+3x2+8)+(2x2−9x+10)?

Answers

The equivalent expression is 6x^3+5x^2-9x+18.

What is an algebraic expression?

An expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Algebraic expressions include at least one variable and at least one operation.

For the given situation,

The expression is (6x^3+3x^2+8)+(2x^2-9x+10)

6x^(3)+3x^(2) +8 +2x^(2) -9x+10

Rearrange the expression in decreasing order of polynomial,

6x^(3)+3x^(2)+2x^(2) -9x+8+10

Now add the like terms,

6x^(3) +5x^(2) -9x+18

Hence we can conclude that the equivalent expression is 6x^(3) +5x^(2) -9x+18.

Learn more about algebraic expression here

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Answer:

Which expression is equivalent to (6x3+3x2+8)+(2x2−9x+10)?

Step-by-step explanation:  

6x3+3x2+8)+(2x2−9x+10)?

The first four terms of a sequence are shown below: 7, 4, 1, -2 Which of the following functions best defines this sequence? A.f(1) = 7, f(n + 1) = f(n) + 3; for n ≥ 1 B.f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1 C.  f(1) = 7, f(n + 1) = f(n) - 4; for n ≥ 1 D.f(1) = 7, f(n + 1) = f(n) + 4; for n ≥ 1

Answers

Answer:

Option (B) is correct.

The sequence that best defines the function is f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1

Step-by-step explanation:

Given sequence 7 ,4, 1,-2

We have to choose a function from given options that best defines this sequence.

Let f(n) denotes the value at nth position,

Like f(1) = 7 , so here, n= 1.

Since next term is 4 = f(2)

4 can be written as 7 - 3 = f(1) -3

Next term is 1 = f(3)

1 can be written as 4-1 = f(2) - 3

Next term is -2 = f(4)

-2 can be written as 1-3 = f(3) - 3

Thus, following the sequence and writing in general form for n

f(n+1) = f (n) -3 , n ≥ 1

Thus, option (B) is correct.

The sequence that best defines the function is f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1



answer is B.f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1

f(1) = 7
f(2) = 7 -3 = 4
f(3) = 4 -3 = 1
f(4) = 1 -3 = -2

The cost of a certain brand of camera has been increasing at 8% per year. If a camera now costs $150, what is the cost?

Answers

x*(1 + 0.08)^n = 150;

if n = 1 => x = 150/1.08 => x = 138.88 $;
if n = 2 => x = 150/ 1.16 => x = 129.31 $;

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50. If 75 pairs of jeans are sold, what is the company’s profit?

Answers

Revenue: 2x² + 17x - 175
Cost: 2x² - 3x - 125
Profit: 20x - 50

Profit = Revenue - Cost
Profit = 2x² + 17x - 175 - (2x² - 3x - 125)
Profit = 2x² - 2x² + 17x + 3x - 175 + 125
Profit = 20x - 50

x = 75

profit = 20(75) - 50
profit = 1500 - 50
profit = 1450

Answer:

20x−50; $1,450

Step-by-step explanation: