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Nataliya [291]
3 years ago
12

Mathematics algebra sat

Mathematics
2 answers:
Leya [2.2K]3 years ago
8 0

Hey there!

2(p + 1) + 8(p - 1) = 5p

2(p) + 2(1) + 8(p) + 8(-1) = 5p

2p + 2 + 8p - 8 = 5p

10p - 6 = 5p

SUBTRACT 5p to BOTH SIDES

10p - 6 - 5p = 5p - 5p

SIMPLIFY IT!

5p - 6 = 0

ADD 6 to BOTH SIDES

5p - 6 + 6 = 0 + 6

CANCEL out: -6 + 6 because it gives you 0

KEEP: 0 + 6 because it helps solve for the p-value

5p = 0 + 6

5p = 6

DIVIDE 5 to BOTH SIDES

5p/5 = 6/5

CANCEL out: 5/5 because it gives you 1

KEEP: 6/5 because gives you the result of the p-value

SIMPLIFY IT!

p = 6/5

Therefore, your answer is: p = 6/5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

balu736 [363]3 years ago
7 0
P = -11
Hope this helps!

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Answer:

A = 10.5%

B = 28.9%

C = 39.5%

D = 18.4%

F = 2.6%

Step-by-step explanation:

Add all the frequencies together = 38

  • 4/38 × 100 = 10.5%
  • 11/38 × 100 = 28.9%
  • 15/38 × 100 = 39.5%
  • 7/38 × 100 = 18.4%
  • 1/38 × 100 = 2.6%

10.5 + 28.9 + 39.5 + 18.4 + 2.6 = 100%

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3 years ago
Solve 2x^3+7x^2-2x-1=o​
Mashcka [7]

Answer:

x=\sqrt{3}-2\\x=-\sqrt{3}-2\\x=\frac{1}{2}

Step-by-step explanation:

This is a hard one

We have to use the rational root theorem

2x^3+7x^2-2x-1 = 0

We have to find all the factors of a and d and put them in a fraction

a=2\\d=-1\\\frac{1}{1,2}

We then plug them into the equation to see if any of them work

The equation isn't true when plugging 1, but is true when plugging in 1/2

factored form of 1/2 is (2x-1)

Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get x^2+4x+1

So now the equation is (2x-1)(x^2+4x+1)

Solve the second half of this equation using the quadratic formula to get

\sqrt{3}-2 and -\sqrt{3}-2

We already know the solution for the first half of the equation (1/2)

So the final answers are:

x=\sqrt{3}-2, -\sqrt{3}-2, \frac{1}{2}

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Find the sum. 2/5 + 1/2​
dybincka [34]
2/5 + 1/2

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which is 10 then 5 goes 2
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= 4. Then 2 goes 5 times into
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Read 2 more answers
Alex is trying to run a certain number of miles by the end of the month Alex is 40% of the way to achieving her goal and she alr
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Answer:

30 miles

Step-by-step explanation:

Given that:

Alex has some target to run a certain number of miles by the end of the month.

Goal already achieved = 40% of the total goal

Number of miles already run by Alex = 12 miles

To find:

Number of miles that Alex is trying to run by the end of month?

Solution:

We have to find nothing but the goal of Alex here.

Let the number of miles that Alex is trying to run by the end of the month = x miles

As per question statement:

40% of total number of miles to be run = 12 miles

OR

\dfrac{40}{100}\times x = 12\\\Rightarrow 40x=12\times 100\\\Rightarrow x = \dfrac{1200}{40}\\\Rightarrow \bold{x = 30\ miles}

Total number of miles that Alex is trying to run by the end of the month = <em>30 miles</em>

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