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Lemur [1.5K]
3 years ago
11

Factor completely: 80x2 – 125

Mathematics
2 answers:
Paladinen [302]3 years ago
6 0

Answer:

5(4x-5)(4x+5)

Step-by-step explanation:

80x^2-125= \\\\5(16x^2-25)= \\\\5(4x-5)(4x+5)

Hope this helps!

Dahasolnce [82]3 years ago
4 0

Answer:

5( 4x-5)(4x+5)

Step-by-step explanation:

80x^2 – 125

Factor out a 5

5( 16 x^2 - 25)

Inside the parentheses is the difference of squares

5 ( (4x)^2 - 5^2)

We know the difference of squares is  (a^2 - b^2) = (a-b) (a+b)

5( 4x-5)(4x+5)

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Raul bought a soft drink and a sandwich for $9.90 . Which is he price of each if the sandwich cost 3.5 times as much as the soft
Radda [10]
B. Sandwich costs $7.70 and the soda costs $2.20
8 0
3 years ago
A researcher claims that the average annual salary of part-time community college instructors is at least $45,000. To test this
Doss [256]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The researcher claims :

" the average annual salary of part-time community college instructors is at least $45,000 "

- We will extract the claim made by the researcher to be the Null hypothesis:

                     Null Hypothesis : μ ≥ $45,000

- Any statement otherwise, or point of rejection criteria will denote the Alternate hypothesis that disbands the claim that:

" the average annual salary of part-time community college instructors is less than $45,000 " :

                    Alternate Hypothesis : μ < $45,000

- This type of test with a sample size of n = 25 < 30 and population standard deviation is also not given hints the use t-test statistics and t-critical value reject the claim.

                     Lower tail - one sample - T-test.

6 0
2 years ago
Perform the following operation, and report the answer to the correct number of significant figures. 3.47 x 6.7
kobusy [5.1K]

Answer:

23

Step-by-step explanation:

3.47 = 3 sig. figs.

6.7 = 2 sig. figs.

Since these two numbers are being multiplied, you would round to the smallest number of sig. figs. of the two. In this case, it would be 2 significant figures.

3.47 * 6.7 = 23.249 (dont forget to round to 2 sig. figs. ) --> 23

6 0
2 years ago
HELP ME ANYONE ANYONE PLEASEEEEE I BEG FOR LOVE OF JESUS
soldi70 [24.7K]

Answer:

b. -84

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{a}{-7} - 7 = 5<u />

<u />

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Addition Property of Equality:                    \displaystyle \frac{a}{-7} - 7 + 7 = 5 + 7
  2. [Simplify] Add:                                             \displaystyle \frac{a}{-7}= 12
  3. Multiplication Property of Equality:           \displaystyle -7 \cdot \frac{a}{-7} = 12 \cdot -7
  4. [Simplify] Multiply:                                      \displaystyle a = -84

<u>Step 3: Check</u>

<em>Plug in a into the original equation to verify it's a solution.</em>

  1. Substitute in <em>a</em>:                    \displaystyle \frac{-84}{-7} - 7 = 5
  2. [Frac] Divide:                       \displaystyle 12 - 7 = 5
  3. Subtract:                              \displaystyle 5 = 5

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.

7 0
3 years ago
What is the value of x?
musickatia [10]
X = 7. Because both lines equal the same so it has to equal 75
11 x 7 = 77
77-2 = 75
X = 7
6 0
2 years ago
Read 2 more answers
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