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N76 [4]
4 years ago
7

Complete the work shown to answer the question. p2 – 14p – 72 = 0 p2 – 14p = 72 p2 – 14p + 49 = 72 + 49 Which describes the solu

tions of the equation? Since 7 and 11 are both rational, the sum and difference are rational. Since 14 and 11 are both rational, the sum and difference are rational. Since 7 is rational and is irrational, the sum and difference are irrational. Since is irrational and 11 is rational, the sum and difference are irrational.
Mathematics
2 answers:
In-s [12.5K]4 years ago
5 0

Answer:Since 7 and 11 are both rational, the sum and difference are rational.

Ne4ueva [31]4 years ago
3 0

Answer:

a. Since 7 and 11 are both rational, the sum and difference are rational.  

Step-by-step explanation:

p^2 – 14p – 72 = 0

p^2 – 14p = 72

p^2 – 14p + 49 = 72 + 49

p^2 – 14p + 7^2 = 11^2

(p - 7)^2 = 121

taking square roots in both sides

p - 7 = ± 11

  • p = +11 + 7 = 18
  • p = -11 + 7 = -4

This procedure was made knowing that 7 and 11 are both rational

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nasty-shy [4]

a. 202.5g

Since 45% of the energy drink is sugar

⇒ 45% of the total 450 grams will be made up of sugar

∴ sugar = \frac{45}{100} * 450

             = 202.5g

Thus, the can contains 202.5g of sugar

b. 3.2L

Since Simon used up 20% of the paint, the paint left in the can will now be 80% of the original 4 liters

∴ paint left = \frac{80}{100} * 4

                  = 3.2L

Thus, the can has 3.2 liters of paint left.

c. 1680 acres

Here, 30% of the farmer's crop is and the rest is wheat

⇒ 70% is wheat

Total acres of land planted= 2400

∴ Acres planted with wheat = \frac{70}{100} *2400

                                              = 1680 acres

Thus 1680 acres is planted with wheat

Learn more about percentages here-

brainly.com/question/843074

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7 0
2 years ago
Read 2 more answers
At the beginning of an experiment, the number of bacteria in a colony was counted at time t=O. The number of bacteria in the col
yan [13]

Answer:

1092

Step-by-step explanation:

We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function B(t)=9(3)^t. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

Upon substituting our given values, we will get:

\text{Average rate of change}=\frac{b(6)-b(0)}{6-0}

\text{Average rate of change}=\frac{9(3)^6-9(3)^0}{6}

\text{Average rate of change}=\frac{9(729)-9(1)}{6}

\text{Average rate of change}=\frac{6561-9}{6}

\text{Average rate of change}=\frac{6552}{6}

\text{Average rate of change}=1092

Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.

8 0
3 years ago
What is described as a line, segment or Ray that bisects a segment at a right angle?
Elena L [17]

Answer:

something perpendicular probably

7 0
3 years ago
Read 2 more answers
The base of a box is a rectangle. The width of the box is half its length. The height of the box is 0.5m. Find the volume of the
Ivan
Let x be the length and y be the width.
We know already 
y= \frac{x}{2}
Area of the base xy
Area of the sides: (x+y)0.25
We get the equation xy=0.25(x+y)-1.08
We will solve the system:
y= \frac{x}{2}\\xy=0.5(x+y)-1.08
The above system has  no real solution, please check your values.
3 0
3 years ago
Read 2 more answers
Tion 1<br> What is the value of the expression when<br> n<br> -4 and p = 7<br> In-pl-5
schepotkina [342]

Answer:

Step-by-step explanation:

(n - p) -5

Substitute in -4 and 7

(-4 - 7) - 5

Combine in parenthesis

-11 - 5

Combine

-16

6 0
4 years ago
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