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8090 [49]
3 years ago
10

Josh finished 24 math problems and 60 minutes at this rate how many minutes will it take him to complete 72 problems

Mathematics
1 answer:
Anton [14]3 years ago
4 0

Answer:

180

Step-by-step explanation:

60 ÷ 24 = 2.5

2.5 x 72 = 180

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If f(x)=2x^6+x^5+32x+32, is (x+2) a factor of f(x).
Angelina_Jolie [31]

Answer:

No

Step-by-step explanation:

By the factor theorem if (x + 2) is a factor of f(x) then f(- 2) = 0

f(- 2)

= 2(-2)^{6} + -2)^{5} + 32(- 2) + 32

= 2(64) - 32 - 64 + 32

= 128 - 32 - 64 + 32

= 64 ≠ 0

Hence (x + 2) is not a factor of f(x)

4 0
3 years ago
Read 2 more answers
Mr Thompson please help with my new HW
sesenic [268]

Answers:

  1. C) x = plus/minus 11
  2. B) No real solutions
  3. C) Two solutions
  4. A) One solution
  5. The value <u>  18  </u> goes in the first blank. The value <u>  17  </u> goes in the second blank.

========================================================

Explanations:

  1. Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
  2. There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
  3. The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
  4. We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
  5. Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
3 0
3 years ago
The sum of two numbers is 41. The larger number is one less than twice the smaller number. Find the numbers.
fgiga [73]

Answer:

14 and 17

Step-by-step explanation:

x+y=41

y=2x-1

x+(2x-1)=41

3x-1=41

3x=42

x=14

y=2(14)-1=27

5 0
3 years ago
Read 2 more answers
Ellen makes and sells bookmarks. She graphs the number of bookmarks sold compared to the total money earned. What is the rate of
VashaNatasha [74]

IfIf she graphs the number of bookmarks sold compared to the total money earned. The rate of change for the function graphed to the left is: 5/2.

<h3>Rate of change</h3>

Based on the graph the coordinate are:

(4,0), (8,10), (12,20)

Using slope formula to find the rate of change Slope=y2-y1/x2-x1

Hence,

(x1-y1)=(4,0) & (x2 -y2)= (8,10)

Let plug in the formula

Slope=10-0/8-4

Slope=10/4

Slope=5/2

Therefore If she graphs the number of bookmarks sold compared to the total money earned. The rate of change for the function graphed to the left is: 5/2.

Learn more about rate of change here:brainly.com/question/9869638

#SPJ1

4 0
1 year ago
1. If RU = 16, UT = 20, and SR = 16, what is the perimeter of SUT?
nlexa [21]

Answer:

72

Step-by-step explanation:

If SR and RU have the same length, a right angle, and a shared side, we know that they are congruent triangles using SAS (Side Angle Side). Our equation to find the perimeter would be SR + RU + UT + TS or 16 + 16 + 20 + 20(using our knowledge of the congruent triangles) = 72.

6 0
2 years ago
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