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nydimaria [60]
2 years ago
11

Evaluate the expression: z(x + 3y) when x = 6, y = 8, and z = 5

Mathematics
1 answer:
Zanzabum2 years ago
4 0
5[6+(3•8)]
5(6+24)
30+120
=150
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2x^2-13x-24 factor the polynomial<br><br> Explain please
vovangra [49]

Answer:

(x - 8)(2x + 3)

Step-by-step explanation:

To factor a polynomial of the form

ax² + bx + c,

follow these steps:

1) Multiply ac together.

2) Find 2 factors of ac that add to b. Call these factors p and q.

3) Break up the middle term of the polynomial into px + qx.

4) Factor by grouping.

Now let's follow the steps above with your problem.

You are given the polynomial

2x² - 13x - 24,

so a = 2, b = -13, and c = -24

1) Find ac.ac is the product 2(-24) = -48

2) Now we need to find 2 factors of -48 that add to b, -13.

I know that 48 = 3 × 16, so if we use -16 and 3 for the two numbers, we have

-16 + 3 = -13

and -16 × 3 = -48.

3) Now we break up the middle term of the polynomial, -13x, into -16x + 3x.

The polynomial is now

2x² - 16x + 3x - 24

4) We factor the polynomial by grouping. To factor by grouping, you factor a common factor out of the first 2 terms and factor out a common factor out of the last two terms.

2x² - 16x + 3x - 24 =

= 2x(x - 8) + 3(x - 8)

We now see the common factor of x - 8, so we factor that out.

= (x - 8)(2x + 3)

Answer: (x - 8)(2x + 3)

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2 years ago
Evie read an article that said 6\%6%6, percent of teenagers were vegetarians, but she thinks it's higher for students at her lar
11111nata11111 [884]

Answer:

p-value~ 0.075

Step-by-step explanation:

( Choice D on Khan Academy)

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2 years ago
What addition statement does this show?
Anuta_ua [19.1K]

Answer:

D. –5.2 + (–6.4) = –11.6

Step-by-step explanation:

First, you can eliminate A and C because 5.2 is positive. Since the red arrow is pointing left, it indicates that the number (-5.2) is negative.

Then, you look at the second arrow, the green one. It is pointing left, so it would be -6.4.

I hope this helps :)

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2 years ago
6+3-4×2 using the order of operations
ANEK [815]
6+3-4x2 [we do 4x2 first because it's multiplication]
6+3-8
since we're left w addition and subtraction, we solve from left to right as usual.
9-8
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i hope this helps bby! x
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3 years ago
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