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Zolol [24]
4 years ago
11

actor x3 + x2 + x + 1 by grouping. What is the resulting expression? (x2)(x + 1) (x2 + 1)(x) (x2 + 1)(x + 1) (x3 + 1)(x + 1)

Mathematics
1 answer:
aksik [14]4 years ago
5 0

So for this, factor x^3 + x^2 and x + 1 separately. Make sure that they have the same quantity on the inside: x^2(x+1)+1(x+1)

Now you can rewrite the expression as: (x^2+1)(x+1) , which is your final answer.

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A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 6 pounds of jelly beans, the total cost is
nordsb [41]

Answer:

t = 2.5 \\ j = 3.75

Step-by-step explanation:

5t + 6j = 35 \\ 3t + 2j = 15  =  > 2j = 15 - 3t \\  \\ 5t + 3(15 - 3t) = 35 \\ 5t + 45 - 9t = 35 \\  - 4t + 45 = 35 \\  - 4t  =  - 10 \\ 4t = 10 \\ t = 2.5 \\  \\ 3(2.5) + 2j = 15 \\ 7.5 + 2j = 15 \\ 2j = 7.5 \\ j = 3.75

Check:

5t + 6j = 35 \\5(2.5) + 6(3.75) = 35 \\ 12.5 + 22.5 = 35 \\ 35 = 35 \\  \\  3t + 2j = 15 \\ 3(2.5) + 2(3.75) = 15 \\ 7.5 + 7.5 = 15 \\ 15 = 15

4 0
3 years ago
Please help!
ANEK [815]

Answer: 315 miles

Step-by-step explanation:

21 times 15

its 315

8 0
4 years ago
What are the measures of angles P and S? ∠P = 20°; ∠S = 160° ∠P = 40°; ∠S = 140° ∠P = 140°; ∠S = 40° ∠P = 160°; ∠S = 20°
strojnjashka [21]

*see attachement for diagram

Answer:

∠P = 140°; ∠S = 40°

Step-by-step explanation:

The figure given is a parallelogram.

Consecutive angles (adjacent angles) of a parallelogram are supplementary.

Therefore:

(x + 15)° + (6x - 10)° = 180°

Solve for x

x + 15 + 6x - 10 = 180

Add like terms

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/7

x = 25

✔️m<P = m<R = 6x - 10 (opposite angles of a parallelogram are congruent)

m<P = 6x - 10

Plug in the value of x

m<P = 6(25) - 10 = 140°

✔️m<S = m<Q = x + 15 (opposite angles of a parallelogram are congruent)

m<S = x + 15 = 25 + 15 = 40°

5 0
3 years ago
A jar contains 5 red marbles, 10 blue marbles, 1 white marble, 6 black marbles, and 3 yellow marbles. Determine the probability
Oliga [24]

Answer:

so if we make a pie chart

there's 25 marbles

it'll be 1/25 or 4% chance

a red marble is 5/ 25 or a 20% chance

say if you replace the white on the chances of you getting red will be 24% or 6/25 chance of getting red

5 0
3 years ago
a doctors office surveyed their patients on wait time satisfaction, with a scale of 1bto 5. The data listed below are the report
liubo4ka [24]

Answer:

See Attached

Step-by-step explanation:

The survey on wait time satisfaction for patients at a doctor's office generated the reported scores below.

1,3,2,3,3,4,4,1,5,3,3,3,4,4,5,2,2,2,1,1

First we sort making sure the total number of scores equal 20:

1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5

  • Frequency of 1=4
  • Frequency of 2=4
  • Frequency of 3=6
  • Frequency of 4=4
  • Frequency of 5=2

Next, we draw the dot plot which is attached below.

7 0
3 years ago
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