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rosijanka [135]
3 years ago
5

Distribution of Responses of 2,000 Residents to Two Library Funding Questions

Mathematics
1 answer:
Softa [21]3 years ago
7 0

Answer:

25%

Step-by-step explanation:

16% answered "local government" to question 2.

9% answered "private donations" to question 2.

So the probability that a randomly selected response is either "local government" or "private donations" is 16% + 9% = 25%.

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HELP PLS THIS IS WORTH 50 POINTS ON MY EXAM<br><br> x^2 - 64<br> Find the factored expression
Alex

Answer:

(x-8)(x+8)

Step-by-step explanation:

Difference of squares

Basically take the square root of 64 and place the answer into the two sets of parenthesis

7 0
2 years ago
Simplify and verify the results for
KatRina [158]

Answer:

21440

Step-by-step explanation:

<h2>Simplify:</h2>
  • (7x³ + 8x² - 3)(x² - 5)

Start by multiplying 7x³ by x² and -5.

  • 7x⁵ - 35x³ + (8x² - 3)(x² - 5)    

Multiply 8x² by x² and -5.

  • 7x⁵ - 35x³ + 8x⁴ - 40x² + (-3)(x² - 5)

Multiply -3 by x² and -5.

  • 7x⁵ - 35x³ + 8x⁴ - 40x² -3x² + 15

Combine like terms together.

  • 7x⁵ - 35x³ + 8x⁴ - 43x² + 15

Rearrange the terms in descending power order.

  • 7x⁵ + 8x⁴ - 35x³ - 43x² + 15  
<h2>Verify (I): </h2>

Substitute x = 5 into the above polynomial.

  • 7(5)⁵ + 8(5)⁴ - 35(5)³ - 43(5)² + 15

Evaluate the exponents first.

  • 7(3125) + 8(625) - 35(125) - 43(25) + 15

Multiply the terms together.

  • 21875 + 5000 - 4375 - 1075 + 15

Combine the terms together.

  • 21440

This is the answer when substituting x = 5 into the simplified expression.

<h2>Verify (II):</h2>

Substitute x = 5 into the expression.

  • [7(5)³ + 8(5)² - 3][(5)² - 5]

Evaluate the exponents first.

  • [7(125) + 8(25) - 3][(25) - 5]

Multiply the terms in the first bracket next.

  • [875 + 200 - 3][25 - 5]

Evaluate the expressions inside the brackets.

  • [1072][20]

Multiply these two terms together.

  • 21440

This is the answer when substituting x = 5 into the original (unsimplified) expression.

3 0
3 years ago
An isosceles right triangle has a hypotenuse length that can be modeled with the function h(x) = sqaure root of 2 The combined
larisa [96]

The legs are defined by L(x) = 2x. The Hypotenuse if defined by h(x) = L(x)\cdot \sqrt{2}. The perimeter is defined by:

p(x) = h(x)+2\cdot L(x) \\~\\p(x) = L(x)\cdot\sqrt{2} +2\cdot L(x) \\~\\p(x) = L(x)\cdot\left(\sqrt{2}+2\right) \\~\\p(x) = 2x\cdot\left(\sqrt{2}+2\right) \\~\\p(x)= 2\sqrt{2}x+4x

D. P(x) = 2x √2 + 4x

8 0
3 years ago
Read 2 more answers
Simplify.
Dafna11 [192]

Answer:

C. 2x^2-7x+7

Step-by-step explanation:

(3x^2-2x+2)-(x^2+5x-5)     <em>Given</em>

From the given you will subtract like terms from both parenthesis.

3x^2-x^2=2x^2

-2x-5x=-7x

2-(-5)=7                      

6 0
3 years ago
The number of small lawns Isabella can rake depends on the amount of time she spends raking. Isabella can rake 3 lawns in 3.75 h
ycow [4]

Answer:

1) 4      2)7

Step-by-step explanation:

1) If we divide 3.75/3=1.25 which is the amount of time she takes per yard so if we add another yard to what she has already done we find she only could do one more yard in 5 hours 3.75+1.25=5.00 So she can only rake 4 yards in 5 hours

2) If we divide 20.25/3=6.75 we find that each ticket is $6.75 so we must divide that by 47.25 to get the amount of tickets 47.25/6.75=7


6 0
3 years ago
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