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Jlenok [28]
3 years ago
5

Factor the expression below

Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

Answer:

(2x² + 5x + 2) = (2x + 1)(x +2)

Step-by-step explanation:

Given expression is (2x² + 5x + 2).

We have to factorize the given expression.

(2x²+ 5x + 2) = 2x² + 4x + x + 2

                     = 2x(x + 2) + 1(x + 2)

                     = (2x + 1)(x + 2)

So the factored form of the given expression will be (2x + 1)(x + 2).

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A recipe calls for 5/8 cups butter. Angie wants to triple the recipe but she has only 1 1/4 cups of butter
Alisiya [41]
The recipe calls for 5/8 cups butter and Angie wants to triple the recipe.

Therefore, if Angie is tripling the recipe, she is multiplying all of the ingredients in the recipe by 3.

So for the butter, this would be:

5/8 * 3 = 15/8 

Next, we should turn this improper fraction into a mixed number so that we can compare it to the amount of butter that Angie has.

15/8 = 1 7/8 

1 7/8 > 1 1/4

Thus, Angie DOES NOT have enough butter to triple the recipe.
8 0
3 years ago
Rocko has been learning about functions in math class and realizes he can use it to help him get prepared for his next wrestling
Fittoniya [83]
F(x) = -2.5x + 135...where x is the number of weeks, and f(x) = total weight
4 0
3 years ago
Simplify 9 x 5/9<br> in 4 mins
Triss [41]

Answer:

5

Step-by-step explanation:

9 x 5/9

9/1 * 5/9

Rewriting

9/9 * 5/1

1 * 5/1

5

6 0
3 years ago
Read 2 more answers
12/35 = 36/X find x step by step
Zigmanuir [339]

Answer:

x = 105°

Step-by-step explanation:

Question :

\frac{12}{35} =\frac{36}{x}

You can use cross multiplication to solve this.

Let us solve now

\frac{12}{35} =\frac{36}{x}

12 × x = 35 × 36

12x = 1260

Divide both sides by 12.

x = 105°

Hope this helps you :-)

8 0
2 years ago
Read 2 more answers
The ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years. Approxima
worty [1.4K]

We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.

We are asked to find the percentage of students that are between 14 and 18 years old.

First of all, we will find z-score corresponding to 14 and 18 using z-score formula.

z=\frac{x-\mu}{\sigma}

z=\frac{14-15}{2}

z=\frac{-1}{2}

z=-0.5

Similarly, we will find the z-score corresponding to 18.

z=\frac{18-15}{2}

z=\frac{3}{2}

z=1.5

Now we will find the probability of getting a z-score between -0.5 and 1.5 that is P(-0.5.

P(-0.5

Using normal distribution table, we will get:

P(-0.5

P(-0.5

Let us convert 0.62465 into percentage.

0.62465\times 100\%=62.465\%\approx 62.5\%

Therefore, approximately 62.5\% of the students are between 14 and 18 years old.

8 0
3 years ago
Read 2 more answers
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