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3 years ago

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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Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not en

maxonik [38]

Answer:

Option A) independent variable – self-affirmations; dependent variable – self-esteem scores

Step-by-step explanation:

We are given the following in the question:

"Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not engage in self-affirmations. Later, their current self-esteem was assessed."

Independent and Dependent Variable:

Dependent variable is the variable whose value depends on the independent variable.
Independent variable is the free variable.

For the given scenario, self esteem is assessed based on the fact that participants either engaged or did not engage in self-affirmations.

Thus, the dependent variable is self esteem and the independent variable is engagement in self affirmation.

Thus, the correct answer is

Option A) independent variable – self-affirmations; dependent variable – self-esteem scores

8 0

3 years ago

In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.

Hitman42 [59]

$\longmapsto$ The value of "x" is 5.

$\large\underline{\sf{Solution-}}$

Given that,

A trapezium ABCD in which AB || CD such that

AO = x - 1

CO = BO = x + 1

OD = x + 4

Now,

$\rm In \: \triangle \: AOB \: and \: \triangle \: COD$

$\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}$

$\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}$

$\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}$

$\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO}$

$\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4}$

$\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2}$

$\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x$

$\rm \longmapsto\: 3x - 4 = 1 + 2x$

$\rm \longmapsto\: 3x - 2x= 1 +4$

$\bf\longmapsto \:x = 5$

7 0

2 years ago

The difference of x and 18 is greater than or equal to -12<br><br>its a inequality question

slavikrds [6]

Writing the word problem as an equation you get:

x - 18 ≥ -12

Now to solve for x:

Add 18 to both sides of the inequality:

x ≥ -12 + 18

Simplify:

x ≥ 6

6 0

3 years ago

F(x) = x+3/x find inverse

Tju [1.3M]

I am unable to solve this problem.

3 0

2 years ago

8(5-32) equal to and explain <br> please help

Gre4nikov [31]

You would use order of operations: PEMDAS
P(parenthesis) E(exponents) MD(multiplication/division) AS(addition/subtraction)
with MD and AS order doesnt matter.
8(5-32) you would start with inside the Parenthesis for "P" so (5-32)=(-27)
next you would go to the E but because you dont have an exponent you go to the next step with is the "MD" you have multiplication so next would be 8(-27) and 8 multiplied by -27 is: 8(-27)= -216
ANSWER: -216

4 0

3 years ago

Read 2 more answers