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Lisa [10]
3 years ago
11

Determine the vertex of the function below and rewrite it in vertex form. y=-x^2-14x-59

Mathematics
1 answer:
Sauron [17]3 years ago
4 0
The answer is 6969.
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Translate to an algebraic statement.<br> "The quotient of twice a number and 7 is 20."
Genrish500 [490]

<u>Answer:</u>

  • Translation: 2x/7 = 20

<u>Step-by-step explanation:</u>

  • <em>When we listen to the word "quotient", it means the solution to a division problem. </em>
  • <em>An unknown number that has been multiplied by 2 is in the numerator because it came before the 7 in the statement. </em>
  • <em>The number "7" is in the denominator because it came after the 2x in the statement. </em>
  • <em>The word "is" represents an equal sign.</em>
  • <em>The solution to the division problem (quotient) is 20. </em>

<u><em>If we put these clues together, we get 2x/7 = 20 as our translated equation.</em></u>

<u>Hence, our algebraic statement is 2x/7 = 20. The key is to listen to the statement. </u>

BrainiacUser1357

4 0
2 years ago
What is the mean of Variable A?
Pachacha [2.7K]
5 is the mean of variable a I might be wrong

8 0
2 years ago
How can you use rates of change to solve a real-life problem like the excessive emission of CO2 in the air? Answer using correct
Norma-Jean [14]

Answer:

rate of change can be used in a real life problem such as the rate that a pool fills up with water.

8 0
2 years ago
How many ways can you order the digits 2,3,4 and 5. you can only use each number once?
butalik [34]
The number of permutations of the 4 different digits is:
4\times3\times2\times1=24&#10;
The answer is 24 ways.
5 0
3 years ago
Verify the following identity: (csc theta -cot theta )/(sec theta -1) A. sec theta B. cos theta C. cot theta D. sin theta
alexdok [17]

Answer:

C. cot theta

Step-by-step explanation:

(csc theta -cot theta )/(sec theta -1)

csc = 1/ sin

cot = cos / sin

sec = 1 / cos

Let x = theta

(1/ sin x -cos x / sin x )/(1/ cos x -1)

Getting a common denominator in the denominator and combining terms

(1- cos x)/ sinx  / ( 1 - cos x) / cos x

(1- cosx)      (1- cosx)

----------- ÷ ------------

sinx            cos x

Copy dot flip

(1- cosx)       cosx

----------- * ------------

sinx            1 -cos x

Cancel like terms

cos x / sin x

cos / sin = cot

cot x

cot theta

3 0
3 years ago
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