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3 years ago

(2x + 1)(x + 2) Multiply the following polynomial

Mathematics

1 answer:

leva [86]3 years ago

3 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{2 {x}^{2} + 5x + 2}}}}}$

Step-by-step explanation:

$\sf{(2x + 1)(x + 2)}$

Use distributive property

$\longrightarrow{ \sf{2x(x + 2) + 1(x + 2)}}$

$\longrightarrow{ \sf{2 {x}^{2} + 4x + x + 2}}$

Collect like terms

$\longrightarrow{ \sf{2 {x}^{2} + 5x + 2}}$

Hope I helped!

Best regards! :D

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1 4 Joey enlarged a 3-inch by 5-inch photograph on a copy machine. He enlarged it four times. The table below shows

lozanna [386]

Answer:

3) 5.4

Step-by-step explanation:

Given two points (x1, f(x1)) and (x2, f(x2)), the average rate of change is computed as follows:

[f(x2) - f(x1)]/[x2 - x1]

From the original photograph to the fourth enlargement, the points are (0, 15) and (4, 36.6). Replacing into the equation we get:

[36.6 - 15]/[4 - 0] = 5.4

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2 years ago

P is the incenter of △JKL. Find m∠JKP. & can you please explain

dangina [55]

Answer:

m∠MKP = 35°

Step-by-step explanation:

Incenter is the intersection of angle bisectors.

∠MJP = ∠OJP, ∠MKP = ∠NKP, ∠NLP = ∠OLP

First find the value of x:

7x - 6 = 5x + 4
7x - 5x = 4 + 6
2x = 10
x = 5

Find the angle MJP:

7*5 - 6 = 29°

We know sum of interior angles of a triangle is 180°. Using this find the missing angle measure:

2*m∠MJP + 2*m∠NJP + 2*m∠MKP = 180°
m∠MJP + m∠NJP + m∠MKP = 90°
29° + 26° + m∠MKP = 90°
m∠MKP = 90° - 55°
m∠MKP = 35°

7 0

2 years ago

How many 1/4 inch cubes does it take to fill a box with width 3 1/4 inches, length 4 1/2 inches, and height 2 3/4 inches?

Anastaziya [24]

1. 15 2. 18. 3. 11 is right

4 0

3 years ago

Read 2 more answers

est scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean

Arte-miy333 [17]

Answer:

The z-score for the statistics test grade is of 1.11.

The z-score for the calculus test grade is 7.3.

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

Statistics:

Mean of 79 and standard deviation of 4.5, so $\mu = 79, \sigma = 4.5$