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3 years ago

Factor completely 2x2 + 28x + 96.

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

4 0

Hi Kiara

2x²+28x+96

First thing you need to find the common factor

So the common factor is 2

2(x+6)(x+8)

I hope that's help:0

Why 2 is the common factor ?

Because we were looking for a number that can divide all of them at the same time without decimal, so that's why :)

Stels [109]3 years ago

4 0

Factor completely
2x^2 + 28x + 96
= 2(x^2 + 14x + 48)
= 2(x + a)(x + b)

find a,b that a+b=14, ab=48
let's try
a, b ... a+b
2,14 ... 18
4,12 ... 16
6,8 ... 14 *** found

2x^2 + 28x + 96 = 2(x + 6)(x + 8)

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Answer:

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Step-by-step explanation:

We are given the following in the question:

Percentage of students who choose Western riding = 35%

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Percentage of students who choose dressage= 45%

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Percentage of students who choose both dressage and jumping = 20%

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Percentage of students who choose Western and dressage = 10%

$P(w \cap d) = 0.10$

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$P(w \cap j) = 0$

Thus, we can say

$P(w \cap j \cap d) = 0$

Formula:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

a) P(student chooses dressage or jumping)

$P(d \cup j) = P(d) + P(j) -p(d \cap j)\\= 0.45 + 0.50-0.20 = 0.75$

b) P(student chooses neither dressage nor Western riding)

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3 years ago

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Answer:

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Step-by-step explanation:

Please mark brainliest and have a great day!

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This is equal to:

$2\frac{1}{2}-2\frac{1}{4}$

When you add a negative number, it turns into subtraction.

First, I would change it to mixed numbers:

$\frac{5}{2}-\frac{9}{4}$

Now, you need to change the denominators to make sure they are the same on both fractions. I changed the first fraction's denominator to 4 so they match. You can do this by multiplying the numerator by 2:

$\frac{10}{4}-\frac{9}{4}$

Now, you simply subtract:

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