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Jet001 [13]
3 years ago
8

Can someone help me with factoring by grouping

Mathematics
2 answers:
Helga [31]3 years ago
8 0

Answer:

(x-2)(x+5)

Step-by-step explanation:

idk how to explain but..

First find two factors that make x^2 which is x and x: (x ?)(x ?)

Then because the last number is (-)10, you now know that there is a positive and negative symbol: (x + ?)(x-?)

Lastly, you have to find two factors of 10 that when subtracted equal to positive 3. A +5 and -2 when multiplied will equal to -10, and when subtracted will make +3. Then you can use the FOIL method to double check. im sorry.. ive never done this before lolol

when foiled: x^2 + 5x -2x - 10; x^2+3x-10

Wittaler [7]3 years ago
6 0

Factor : x^2+3x-10

Answer = (x - 2)(x + 5)

Explanation:

Y = x^2 + 3x - 10.

Find 2 numbers knowing sum (3) and product (-10).

Factor pairs of (-10) -> (-1, 10)(-2, 5). This sum is 3 = b. The 2 numbers are: -2 and 5.

y = (x - 2)(x + 5).

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Andrei [34K]

Answer:

So 2^{\frac{1}{2}} will be equivalent to \sqrt{2} in radical form

Step-by-step explanation:

We have given expression 2^{\frac{1}{2}}

We have to write this in radical form

We know that if any fraction is in exponential form then if we write this in radical form then in radical form the exponent come inverse of its number

So 2^{\frac{1}{2}} can be written in radical form as \sqrt{2}

So 2^{\frac{1}{2}} will be equivalent to \sqrt{2} in radical form

7 0
3 years ago
What is the volume of this rectangular prism?
Aleksandr-060686 [28]

Answer:

5

Step-by-step explanation:

4 times 5/2 times 1/2 is 5

8 0
3 years ago
Which of the following equations is an example of inverse variation between variables x and y ?
Mademuasel [1]
The option C) y = 15/x

a) y = 15 x is an example of direct variation, with proportionality constant = 15

b) is an example of linear variation (it is the equation of a straight line that does not pass through the origin)

c) y = 15/x => y*x = 15 = constant which is the characteristic of an inverse relation

d) y = x/15 is an example of an inverse relation, with proportion constant = 1/15 
3 0
3 years ago
Read 2 more answers
A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics e
professor190 [17]

Answer:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

df = n-1 = 15-1=14

The p value for this case would be given by:

p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

Step-by-step explanation:

Information given

n=15 represent the sample size

\alpha=0.05 represent the confidence level  

s^2 =16 represent the sample variance

\sigma^2_0 =25 represent the value that we want to  verify

System of hypothesis

We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \geq 25

Alternative hypothesis: \sigma^2

The statistic is given by:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

And replacing we got:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

df = n-1 = 15-1=14

The p value for this case would be given by:

p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

6 0
3 years ago
A company logo is shaped like an equilateral triangle with 2-in.-long sides. What is the height of the logo? Round to the neares
deff fn [24]

Answer:

B. 1.7 in

Step-by-step explanation:

Divide the triangle into 2 congruent right angle triangles

With hypotenuse: 2

Base: 2/2 = 1

Using pythagoras theorem

2² = 1² + h²

h² = 3

h = sqrt(3)

h = 1.732050808

6 0
3 years ago
Read 2 more answers
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