How do you factor k^2-k-56

Answers

Answer 1
Answer: (k-8)(k+7) is how you factor is
Answer 2
Answer: use the factoring method
(k-8)(k+7)


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Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan is $255.94. What was the amount of the loan?
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Find the value of c that makes each trinomial a perfect square.

Answers

Answer:

The answer to your question is the letter a.

Step-by-step explanation:

Data

             x² + 12x + c

If this trinomial is a perfect square trinomial, the third term must be half the second term divided by the square root of the first term, and to the second power.

-Get half the second term

               12x/2 = 6x

-Divide by the square root of the first term

               6x/x = 6

-Express the result to the second power

                          6² = 36

-Write the perfect square trinomial

             (x² + 12x + 36) = (x + 6)²

Convert the mixed number 3¼ to a percent.a. 375%
b. 333%
c. 314%
d. 325%

Answers

3 and 1/4=3+0.25=3.25/1

percent means parts out of 100 so x%=x/100
3.25/1 times 100/100=325/100=325%

D
Hi there! We know that 1/4=0.25*100=25%. If you add the 3 in 3 1/4 it would be 3.25, 3.25*100=325. Therefore, the answer is D. 325%

A rectangular fish tank contains 3,240 cubic inches of water. The dimensions of the base of the fish tank are 12 inches x 18 inches. How tall is the fish tank?

Answers

Answer:

fish tank is 14.87 ≈ 15  inches tall.

Step-by-step explanation:

Given  : A rectangular fish tank contains 3,240 cubic inches of water. The dimensions of the base of the fish tank are 12 inches x 18 inches.

To find  :  How tall is the fish tank.

Solution : We have given  that volume of fish tank  = 3240 cubic inches.

                                               Length of tank = 12 inches.

                                               Width of tank =  18 inches .

Volume of rectangular tank = length * width * height

3240  = 12 * 18* height .

3240 =  216 * height.

On dividing both side by 216 and switching the sides .

Height = (3240)/(216) .

Height =  14.87 inches  

Therefore,  fish tank is 14.87 ≈ 15  inches tall.

Volume = length x Base x height

3240 = 18 x 12 x H

 3240 = 216 x H

H = 3240 / 216 = 15 inches

A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solve an equation to find the price of each shrub.A. 9p + 11.5p = $94.75; p = $4.62

B. 9(p + $11.50) = $94.75; p = $5.00

C. 9p + $11.50 = $94.75; p = $11.75

D. 9p + $11.50 = $94.75; p = $9.25

Answers

Based on the data provided if the customer went to the shop and bought the potting soil and shrubs with the total bill of $94.75 and the potting soil alone is for $11.50. We can determine the price of the shrubs in total by deducting the 2 values. $94.75 - $11.50 = $83.25. Now that we have the total amount of the shrubs to get the amount of each shrub we then divide the total amount versus the number of shrubs which is 9, ergo $83.25/9 = 9.25 per shrub.

So the answer to this question is:

D. 9p + $11.50 = $94.75 p=$9.25

How do you simplify a fraction

Answers

Divide the numerator and denominator by the greatest common factor.
So each time you perform an operation on fractions and your answer ends up as an improper fraction, you will usually need to simplify your answer. The results will be in the form of a mixed number. So to convert an improper fraction into a mixed number, we just divide the numerator by the denominator.

PLEASE HELP!! i’m so confused.

Answers

Answer:

[A] -0.5

General Formulas and Concepts:

Algebra I

  • Reading a coordinate plane
  • Coordinates (x, y)
  • Functions
  • Function Notation

Algebra II

  • Piecewise Functions

Calculus

Limits

Graphical Limits

Discontinuities

  • Removable (Hole)
  • Jump
  • Infinite (Asymptote)

Step-by-step explanation:

Step 1: Define

Identify

\displaystyle f(x) = \left \{ {{-1 - x, \ x \neq 2} \atop {8, \ x = 2}} \right.

\displaystyle  \lim_(x \to -0.5) f(x)

Step 2: Solve

According to the graph, we see that when we approach x = -0.5 of the function f(x), we land on y = -0.5.

The function value at x = 2 would equal 8, but the limit as x approaches -0.5 would not approach the function value, but approach the hole in the function.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e