Solve w^2+13w+42=0 by factoring.

Answers

Answer 1

Answer: {-7, -6}

Explanation: When an equation has a squared term in it,

it's called a polynomial equation.

The rule for solving a polynomial equation

is to first set it equal to 0, then factor.

Since this equation is already set equal to 0, we can factor the left side.

The left side is a trinomial that can be

factored as the product of two binomials.

The first term in each binomial will be a factor of the w².

Since w² factors a w · w, we use a w as our first term.

For the last terms, we use factors of 42 that add

to 13 and these factors are +7 and +6.

So we have (w + 7)(w + 6) = 0.

So either w + 7 = 0 or w + 6 = 0.

Solving for w in each equation, we find that our solution set is {-7, -6}.


Related Questions

Keon biked 78 kilometers in 3 hours. How many kilometers did he bike per hour

Answers

Answer:

26km/hr

Step-by-step explanation:

78 divided by 3 hours is equal to 26km/hr

Lucky you it's sale time at Best Buy! This TV was originally $229 it's now on sale for 25% off. How much is the TV now?

Answers

Answer:

0.000725 i think :)

Step-by-step explanation:

   Divide the number by 100 (move the decimal place two places to the left).

   Multiply this new number by the percentage you want to take off.

Answer- 171.75
You multiply your original cost (229) by the percent it’s on sale for (.25) then you get $57.25. That is how much is being taken off of the original price so you would subtract 229 by 57.25 to get your answer of $171.75.

HURRY!
What are all the possible rational solutions for x^4-3x^2+2x5=0

Answers

Answer: x = 1

x =(-3-√-15)/4=(-3-i√ 15 )/4= -0.7500-0.9682i

x =(-3+√-15)/4=(-3+i√ 15 )/4= -0.7500+0.9682i

x2 = 0

Step-by-step explanation:

7x = 7.7 help please

Answers

Answer: X=1.1

Step-by-step explanation: Have a brilliant day- Lily (^_^)

Please help will give Brain!

Answers

Answer:

its 4 :)

Step-by-step explanation:

heyyy please give me brain i really am thankfull if you do and

also have a nice day hope this help and thank you very much.

the table shows a summary of the number of spots counted on 20 ladybug calculate the mean number of spots per lady bug

Answers

Answer:

bcbdjdsjxbxifjfbdbdbbxbxhxhdhdhbdbdbxbxbxbxbbxnxnxnxx

(7th grade math question)

In a week Dave will spend 150 minutes on cardio exercise and 75 minutes on weights. On Monday Dave spent 30 minutes on cardio and 15 minutes on weights. What percentage of his total exercise time for a week did Dave spend exercising on Monday?

A) 20%
B) 25%
C) 10%
D) 50%

Please answer soon​

Answers

A) 20%

If this answered help you then please consider marking it as brainliest to help me level up to expert

He spent 20% of his exercise time for the week on Monday!

How I got this is by finding the total amount of time spent exercising in the week and the total amount of exercise on Monday. I found that one fifth (1/5) of his exercise time was spent on Monday, or in percentage form, 20%!

Hope this helps, if not, comment below please!!!

:L

In a student election, Derrick got 10% of the votes. If Derrick got 5 votes, how many total students voted?

Answers

Answer:

50 students voted

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

If 50 students voted, or 1/10th of students voted for him, than you can multiply 5 by 10 to get your answer, which equals 50.

Help me please It is timed​

Answers

according to me answer is

0.5b

Answer:

b

Step-by-step explanation:

If f(x) = 2x2 + 4 and g(x) = x - 6, determine f(-5) - g(-5).
53
-49
55
65
which one is the answer

Answers

Answer:

65

Step-by-step explanation:

f(x) = 2x² + 4

g(x) = x - 6

f(-5) = 2 * (-5)² + 4

= 50 + 4

= 54

g(-5) = - 5 - 6

= - 11

f(-5) - g(-5) = 54 + 11 = 65

Hope it will help you :)

Please anyone help anyway you can

Answers

D=2R
3.14x10=31.4
This app won't let me do short answer

Is 4 a solution of 7 < 5x – 16

Answers

Answer:

no

Step-by-step explanation:

7 < 5*4 - 16

7 < 20-16

7 <4

Answer:

[tex] x > \frac{23}{5} [/tex]

Step-by-step explanation:

[tex]7 < 5x - 16 \\ - 5x < - 16 - 7 \\ - 5x < - 23 \\ [/tex]

[tex] \boxed{Answer:{\boxed{\green{= x > \frac{23}{5}}}}} [/tex]

525 metres in 30 minutes

Answers

Answer:

what you want to know...

Step-by-step explanation:

please write complete question.....

So,I can understand it

***HURRY TIMED TEST***
***WILL MARK BRAINLEST***
If f(x) = 8x + 7 and g(x) = square root x + 2, what is (fºg)(2)?​

Answers

Answer:

[tex]8x + 7 =15 \\ gx + 2 =4 \\ [/tex]

factor 8x^2+10x-3
plz explain your answer

Answers

Answer:

look I have sent you the answer of your question.

This trinomial can be factored as two binomials.

So setup two sets of parenthses.

8x² can be factored as 8x · x or 4x · 2x

and -3 can be factored as +3 · -1, -1· +3, -3 · +1, or +1 ·-3.

If the middle term in the original trinomial is even,

try pairs of even factors first if you have that option.

In this case, we have a 4x and a 2x so let's try those first.

Let's do this with all the factors of -3.

So our first possible answer could be (4x + 3)(2x - 1).

Since the product of the outer terms, -4x, plus the product of the inner, 6x,

doesn't add to our middle term, this pair doesn't work.

Now let's try (4x - 1)(2x + 3).

The product of the outer terms, 12x, plus the product of the inner, -2x,

equals the middle term in our original trinomial, this pair works.

So our answer is (4x - 1)(2x + 3).

Please help!! Help.

Answers

Step-by-step explanation:

1. Cosine

2. Relationship is Cos = adj/hyp

3. x is 14

4. The hypotenuse of the triangle is 14cm long

I need to know what the difference of this expression is.

(4 - 5i) - (12 + 11i)​

Answers

Answer: -10-16i

Step-by-step explanation:

Given

(4-5i)-(12+11i)

Expand parenthesis

2-5i-12-11i

Put like terms together

(2-12)-(5i+11i)

Combine like terms

-10-16i

Hope this helps!! :)

Please let me know if you have any questions

help please, the image is attached.

Answers

Answer:

A

Step-by-step explanation:

A

17 sheniabduajxhsgdhshs

PLEASE NEED HELP

Large gear has 28 teeth, Small gear has 14 teeth. If the large gear is turning at 15 mph, how fast is the small gear turning?

Answers

Answer:

The small gear would be spinning at 7.5MPH

someone plz help me plz

Answers

Answer:

38.5

Step-by-step explanation:

First do 77/2 then you get 38.5, if anything is wrong please tell me!!

Which equation describes the line that passes through the points (-4, 19) and (2, -1)

Answers

Answer:

y=-5/2x+4

Step-by-step explanation:

find the slope by using y2-y1/x2-x1

-1-19/2-(-4)

simplify

-20/8

simplify

-5/2

use slope-intercept form, y=mx+b

since we know the slope, find b

plug in one of the ordered pairs into the equation

-1=(-5/2)(2)+b

simplify

-1= -10/2+b

simplify

-1=-5+b

add 5 to both sides

b=4

plug b into y=-5/2x+b

y=-5/2x+4

the answer would be.:answer- -5/2+4

-2j - 10 = -6 She calculated j = 8

Is this correct or incorrect?

Answers

Answer:

incorrect

Step-by-step explanation:

this is incorrect because i solved it and i didn't got that answer

hope this helps:)

Pls mark brainlist

Answer:

Incorrectj = -2

Explanation:

-2j - 10 = -6

Add 10 To Both Sides

−2j − 10 + 10 = −6 + 10

−2j = 4

Divide Both Sides By -2

-2j / -2 = 4 / -2

j = -2

Find the area of this composite figure.

Answers

Answer: 171 cm

Step-by-step explanation: im not sure if this is right but

9x12=108

9x7=63

108+63=171

Area of triangle = ½bh
Area of rectangle = bh

Total area = Area of triangle + Area of rectangle

Area of rectangle = (12 cm)(9 cm)
Area of rectangle = 108 cm²

Area of triangle = ½(9 cm)(7 cm)
Area of triangle = ½(9 cm)(7 cm)
Area of triangle = 31.5 cm²

Total area = 31.5 cm² + 108 cm²
Total area = 139.5 cm²

Answer: 139.5 cm²



What is the value of 3x^2– 7x + 9 when x = 4?

Answers

Answer:

29

Step-by-step explanation:

just substitute x with 4 in the equation :)

Help please ASAP rn

Answers

Answer, population: 359 million

Answer:

Step-by-step explanation:

It went up 98 ten-tousandth, from 1950 to 1990 divide 2030, by 1990 and then multiply that answer by 98 ten-tousandth

Find a ratio for the tangent of 32

Answers

Answer:tan c

Step-by-step explanation:

The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden.

Answers

x4 you square areas.

Please help if you can, thanks

Answers

Answer:

what does the picture say

The price of a technology stock was 9.57 yesterday. Today, the price rose to 9.66 . Find the percentage increase. Round your answer to the nearest tenth of a percent

Answers

Take 9.66-9.57=.09 the stock went up by .01%

if you know what’s going on pls help thanksss

Answers

basically u are representing the graphs below in symbols and words if that makes any sence

Answer:

1. > less than

2. =< (I can't find the symbol for this but a line should be under the < and thats it) Greater than or equal to

3. < greater than

4. >= less than or equal to

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