All categories

2 years ago

Factor completely 2x^2+7x+5

Mathematics

1 answer:

jeka942 years ago

5 0

Answer:

(2x+5)(x+1)

Step-by-step explanation:

We look for two numbers which multiply to 10(that is 2×5) and add to 7. Our numbers are 2and 5

2×5=10 and 2+5=7

Therefore we have

(2x²+2x)+(5x+5)

2x(x+1)+5(x+1)

(2x+5)(x+1)

You might be interested in

Given the following two statements, what conclusion can be made? Three noncollinear points determine a plane. Points S, O, N are

laila [671]

Actually, this has little to do with mathematics and geometry but has to do more with logical reasoning. You have two clauses to get a conclusion from. The reasoning is as follows:

Clause 1: <span>Three noncollinear points determine a plane
Clause 2: </span><span>Points S, O, N are noncollinear
</span>Conclusion: Therefore, points S, O and N form a plane.

7 0

3 years ago

Read 2 more answers

In a population distribution, a score of x=57 corresponds to z=-0.25 and a score of x=87 corresponds to z=1.25. Find the mean an

Serggg [28]

Here is dependence between scores and x-values:

$Z_i=\dfrac{X_i-\mu}{\sigma},$

where $\mu$ is the mean, $\sigma$ is standard deviation and i changes from 1 to 2.

1. When i=1, $Z_1=-0.25,\ X_1=57,$ then

$-0.25=\dfrac{57-\mu}{\sigma}.$

2. When i=2, $Z_2=1.25,\ X_2=87,$ then

$1.25=\dfrac{87-\mu}{\sigma}.$

Now solve the system of equations:

$\left\{\begin{array}{l}-0.25=\dfrac{57-\mu}{\sigma}\\ \\1.25=\dfrac{87-\mu}{\sigma}.\end{array}\right.$

$\left\{\begin{array}{l}-0.25\sigma=57-\mu\\ \\1.25\sigma=87-\mu.\end{array}\right.$

Subtract first equation from the second:

$1.25\sigma-(-0.25\sigma)=87-57,\\ \\1.5\sigma=30,\\ \\\sigma=20.$

Then

$1.25=\dfrac{87-\mu}{20},\\ \\87-\mu=25,\\ \\\mu=87-25=62.$

Answer: the mean is 62, the standard deviation is 20.

3 0

3 years ago

Read 2 more answers

Find the probability of at least 2 girls in births. Assume that male and female births are equally likely and that the births ar

tiny-mole [99]

We assume that male and female births are equally likely, it means that the probability of birth of male= probability of birth of female = 100%/2=50% or 0.5We have 2 independent events. So what will be the variants:
Male and FemaleMale and Male Female and Male Female and Female
All four variants are equally likely.Probability of each one is 1/4 = 0.25.So, Result "Female and Female"
are probability = 0.250 --- if round to three decimal places.

6 0

2 years ago

Emma voluenteered at an animal sueltes for a total of 119 hours over 6 weeks. Estimare the Numbers of hours she volunteered rach

laila [671]

119/6
approximately 20

6 0

3 years ago

If the circumference of a circle is about 15.4 cm, estimate to the nearest whole number the diameter of the circle

nasty-shy [4]

The nearest whole number the diameter of the circle is 5.0 cm.

<u>Given the following data:</u>

Circumference of a circle = 15.4 cm

To estimate to the nearest whole number the diameter of the circle:

In this exercise, you're required to solve for the diameter of a circle and round up its value to the nearest whole number.

<h3>How to calculate the circumference of a circle.</h3>

Mathematically, the circumference of a circle is given by the formula:

$Circumference = \pi D$

<u>Where:</u>

D is the diameter of a circle.

Making D the subject of formula, we have:

$D =\frac{circumference}{\pi}$

Substituting the given parameters into the formula, we have;

$D =\frac{15.4}{3.142}$

D = 4.90 cm

To the nearest whole number:

D = 4.90 ≈ 5.0 cm

Read more on circumference of a circle here: brainly.com/question/14478195

6 0

2 years ago