Can some one help me plz with step by step
x^2 + x - 42

Answers

Answer 1

Answer:

x = 6 or x = -7

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + x - 42 = 0

The left hand side factors into a product with two terms:

(x - 6) (x + 7) = 0

Split into two equations:

x - 6 = 0 or x + 7 = 0

Add 6 to both sides:

x = 6 or x + 7 = 0

Subtract 7 from both sides:

Answer: x = 6 or x = -7


Related Questions

HELLP PLEASE!!!!!!?!?!?!???! Find the missing length of the triangle.

Answers

Answer:

11 2/3 yd.

Step-by-step explanation:

\sqrt{\left(12\frac{1}{3}^{2}-4^{2}\right)} = 35/3

35/3=11 2/3

Answer:

11.666

round up to 11.7

Step-by-step explanation:

(hypotenuse)^2 -(leg b)^2

√(12.333)^2-(4)^2

√(152.11-16)

√(136.11)

Please help with this work

Answers

Answer:

B = 80

Step-by-step explanation:

y = 4x

y = 1/2x + 280

Substitute one equation into another.

4x = 1/2x + 280

Combine like terms

3.5x = 280

x = 80

The number of posters that Jason needs to sell so that the cost and revenue are equal will be 80. Option B is correct.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The amount of revenue in dollars, y, that Jason receives from selling x posters is given by the equation y = 4x. The cost of producing x posters is given by the equation y = (1/2)x + 280.

Then the number of posters that Jason needs to sell so that the cost and revenue are equal will be given as,

4x = (1/2)x + 280

4x - (1/2)x = 280

(7/2)x = 280

7x = 560

x = 80

The number of posters that Jason needs to sell so that the cost and revenue are equal will be 80.

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Find cos x if sin2x-1/cosx =-1

Answers

Answer:

1

Step-by-step explanation:

The shaded portion of each model represents
1
10

110
.
Which can be used to find the total shaded area in all 4 models?

Answers

is there a picture to this??

solve similar triangles

Answers

Answer:

7.5 ?

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

We are given information that the two triangles are similar and we want to work out the length of "t" . Since these 2 triangles are similar, it means that a scale factor is used to enlarge the sides, we can work out the scale by dividing QP by LJ and RP by KJ so,

QP ÷ JK = 25 ÷ 5 = 5

RP ÷ JL = 22.5 ÷ 4.5 = 5

So we can see the scale factor is 5, now all we need to do is multiply the scale factor by 1.5 to find the value of t

1.5 × 5 = 7.5

The value of t is 7.5

What is the greatest four digit number that can be made using the digits 3,1,6, and 4?

Answers

Answer:

6,431

Step-by-step explanation:

Find the slope

Tysm!!! I need help asap

Answers

Answer:

2/3

Step-by-step explanation:

start at the first point and count up and then over. it is 2 squares UP, and 3 squares OVER. remember rise over run, rise (2) on top and run (3) on bottom!

Answer:

M = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The two coordinate points given are (2,2) and (-1,0).

We can use the slope formula to find the slope.

[tex]Slope(m)=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{0-2}{-1-2}[/tex]

[tex]m=\frac{-2}{-3} or \frac{2}3}[/tex]

Please help with this question. Thank you.

Answers

Answer:

t = 4

Step-by-step explanation:

Substitute the variables with the information provided.

205 = 100 + 12(6) + 5(t) + 7(4) + 5(5) - 8(5)

Simplify

205 = 100 + 72 + 5t + 28 + 25 - 40

20 = 5t

t = 4

PLZ HELP ASAP!!! 21 POINTS
What is 20% of 25?
A. 3
B. 4
C. 5
D. 6

Answers

Answer:

5 is the answer I hope it helps

PLEASE HELP ASAP 50 PTS

Answers

Answer:

3.  AC

4. DC

Step-by-step explanation:

3. The largest interior angle and side are opposite each other.

The largest angle is angle B so AC is the longest side

4. The smallest interior angle and side are opposite each other.

The smallest angle is A so DC is the shortest side

Answer:

dc is the correct answer

Step-by-step explanation:

Factor completely.
28 - 7x^2 ​

Answers

Answer:

7 (2 + x ) ( 2 − x )

The factored form of the given binomial is 7(x+2)(2-x)

What are the factors?

A factor is a number that divides another number, leaving no remainder.

Given is a binomial, we are asked to factorize it,

28 - 7x²

7(4) - 7(x²)

= 7(4-x²)

= 7(x+2)(2-x)  {∵ a² - b² = (a+b)(a-b)}

Hence, the factored form of the given binomial is 7(x+2)(2-x)

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Help please!!!! 50 points!!!!


Amara has taken out a fixed rate mortgage for $125,000 at 4.04% for 20 years, or 240 months. Her payments are $730. What is the total cost of the loan?
A. $130,050
B. $175,200
C. $211,680
D. $226,000

Answers

Answer:

182,427.03

Step-by-step explanation:

total cost =    r*p*n

                   ---------------

                     1- (1+r) ^-n

Where r is the loan rate, p is the principal, n is the number of payments

rate = 4.04% / 12 months

total cost = (.0404/12)* 125000* 240

                    ------------------------------

                     1- (1+.0404/12)^-240

101000

-----------------

1-.44635

101000

-----------------

.55364

182,427.03

Using Payments are 730 *240 months

730*240 =175200

Simplify these expressions
a) 5 x x
b) 6 xxxy
c) 2 xxx 3xy

Answers

5x^2
6x^3y
2x^3 3xy
^ means the little number above x eg x^3

The circumference of a circle can be found using the
formula C = 2rer.
Which is an equivalent equation solved for
r = CT
Or= C(20)
O
ra
2T
2m
re

Answers

Answer:

C /2pi  = r

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi*r

We want to solve for r

Divide each side by 2 pi

C / 2pi = 2*pi*r / 2pi

C /2pi  = r

Given f(x)=x^3+2x+k.
and x+1 is a factor of f(x), then what is the value of k?

Answers

Answer:

k = 3.

Step-by-step explanation:

By the Factor Theorem. if x+a is a factor of f(x)  then f(-a) = 0.

Here we use f(-1):

f(-1) = (-1)^3 + 2(-1) + k = 0

-1 - 2 + k = 0

k = 3.

I cannot figure this out for the life of me! Can someone help me out? Ignore the stuff written down.

Answers

Answer: 656 square units

============================================================

Explanation:

Focus on the slanted side of the parallelogram, which is 26 units long. The opposite side to this is also 26 units long since opposite sides of any parallelogram are always congruent.

Now turn your attention to the triangle formed by that dashed line. Specifically this is a right triangle. It has a legs of x and 10, where x is the unknown height (also the height of the parallelogram). The hypotenuse of this right triangle is 26 units as mentioned in the previous paragraph.

Use the pythagorean theorem to find x

a^2+b^2 = c^2

10^2+x^2 = 26^2

100+x^2 = 676

x^2 = 676-100

x^2 = 576

x = sqrt(576)

x = 24

This is a 10,24,26 right triangle, which is based on the 5,12,13 right triangle (divide every part by 2)

-------------------

Now that we know the height of the parallelogram, the area is simply base times height

area of parallelogram = base*height = 32*24 = 768

Then we subtract off the area of the shaded gray rectangle, so we subtract off 7*16 = 112 to get 768 - 112 = 656 and this is the area of the unshaded region inside the parallelogram.

-------------------

Side note: The hypotenuse of 10*sqrt(2) you wrote down would only be correct if that dashed height line was 10 units.

Question
A train travels for 30 miles at an average speed of 25
mph. How many minutes will it take to complete
the journey?

Answers

Answer:72 minutes

Step-by-step explanation:

30/25=  1.2 * 60= 72

HURRY PLS I NEED IT
What is the purpose of apportionment? (its ideal, value, or vision)

Answers

Answer:

An apportionment is the allocation of a loss between all of the insurance companies that insure a piece of property. This allocation is used to determine a percentage of liability for each insurer.

I'm new here! Sorry if this didn't help

write a function for this table -- urgent -- I'm putting all my points into this!!!! -- bad answers reported! -- no explanation necessary

Answers

Answer:

[tex]3x^{2} -3x-6[/tex]

Step-by-step explanation:

Solve: log (7t + 2) = 2
t =​

Answers

Answer:

t = 14

Step-by-step explanation:

log (7t + 2) = 2

Raise each side to the power of 10

10 ^log (7t + 2) =10^ 2

7t+2 = 100

Subtract 2 from each side

7t+2-2 = 100-2

7t = 98

Divide each side by 7

7t/7 = 98/7

t = 14

Answer:

[tex]t=14[/tex]

Step-by-step explanation:

We begin with the equation: [tex]log(7t+2)=2[/tex]

The first thing we must do is remove the log. In this case, the base of this log is 10, which means that we must have each side of this equation have a base of 10.

This gives us

[tex]10^{log(7t+2)} =10^2[/tex]

The base 10 and the log will cancel out to give us

[tex]7t+2=100[/tex]

Then we can solve for t

[tex]7t+2=100\\\\7t=98\\\\t=\frac{98}{7} \\\\t=14[/tex]

Kim's softball team was playing in the championship game. When there were 444 innings left, the team was losing by a score of 171717 to 666 points. In the last 444 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points.

Write an inequality to determine the number of points per inning, ppp, Kim's team could have scored.

Answers

Answer:

Hello and welcome to Brainly!  Thank you for posting your first question! I hope you enjoy your time here on Brainly!

The awnser to your question is. The required inequality is 6+4p>17

Step-by-step explanation:

Let p represent the number of runs per inning.

It is given that the team scores the same number of runs per inning and the other team did not score any more points. So, the total score of other team after last four inning is 17.

Kim's team total score in last four inning is 4p. So, the total score of Kim's team after last four inning is

Kim's team win if the total score of other team after last four inning is less than the Kim's team.

Hope this helped!!

Any help on these problems would be great! Thanks!

Answers

Answer:

17. 600 18. C.relative

Step-by-step explanation:

17. 900/3=300, but because she uses 2 tires at the same time you have to multiply it by 2

18. there is no actual coordinate so it wouldn't be absolute, and combination isn't a thing

a soup can has a diameter of 8 cm and a height of 12 CM what is the volume of the soup can use 3.14 for pi​

Answers

Answer:

V = 602.88 cm cubed

A company is offering 1 grand prize, 3 second place prizes and 25 third place prizes. Out of 500 total entries, what is the probability of getting a third place prize?

Answers

Answer:

1/20

Step-by-step explanation:

25 prizes out of 500=25/500=1/20

Which of these statements is true? Check all that apply. CDs have a higher mean than digital. The range of digital is 800. The median of CDs is 400. Both have the same interquartile range. Both have the same median. Digital's mean is around 467.

Answers

Bar chart associated with the question is attached below

Answer:

Range of digital is 800

CDs have a higher mean than digital

Digital's mean is around 467.

Both have the same interquartile range

Step-by-step explanation:

CDs have a mean higher than digital

Range of digital is 800 (900 - 100 = 800)

Both have the same interquartile range

(Q3 - Q1)

DIGITAL :

(900+700+500+300+300+100)

700 - 300= 400

CDs:

(1000+800+800+600+400+200)

800 - 400= 400

Digital mean :

(900+700+500+300+300+100) / 6

2800/6 = 466.67 = 467

CD mean :

(1000+800+800+600+400+200) /6

=633.333

Median of CD:

1000+800+800+600+400+200

(800+600)/ 2 = 700

Median of Digital :

(500+300)/2 = 400

Answer:

A: CDs have a higher mean than digital.

B: The range of digital is 800.

D: Both have the same interquartile range.

F: Digital’s mean is around 467.

Step-by-step explanation:

edg2020

A flashlight battery manufacturer makes a model of battery whose mean shelf life is three years and four months, with a standard deviation of three months. The distribution is approximately normal. One production run of batteries in the factory was 25,000 batteries. How many of those batteries can be expected to last between three years and one month and three years and seven months?

a. 21,025 batteries
b. 8,525 batteries
c. 17,050 batteries

Answers

See the attached picture.

The answer is c. 17,050 batteries

The number of expected batteries to last between 3 years and one month and 3 years and seven months is 17,050 batteries.

Option C is the correct answer.

What is z-score?

A z-score also called a standard score is a measure of how many standard deviations a data point is away from the given mean of a distribution.

It measures the unusual or extreme a particular data point is compared to the rest of the distribution

We have,

First, we need to standardize the range of shelf life between three years and one month (3.08 years) and three years and seven months (3.58 years) using the formula:

z = (x - μ) / σ

where x is the shelf life in years, μ is the mean shelf life in years, and σ is the standard deviation in years.

Now,

For the lower bound:

z = (3.08 - 3.33) / 0.25

z = -1.00

For the upper bound:

z = (3.58 - 3.33) / 0.25

z = 1.00

Now,

We use a standard normal distribution table or calculator to find the area under the curve between z = -1.00 and z = 1.00, which represents the proportion of batteries that can be expected to last between three years and one month and three years and seven months.

This area is approximately 0.6826.

Finally,
We multiply this proportion by the total number of batteries in the production run to find the expected number of batteries that meet the criteria.

expected number = proportion x total number

expected number = 0.6826 * 25,000

expected number ≈ 17,065

Therefore,

The number of expected batteries is 17,050 batteries.

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What is the height of a pyramid (with a square base) whose side length is 12 cm and its slant
height is 10 cm?

a.) 22 cm
b.) 8 cm
c.) 2 cm
d.) None of these​

Answers

We have been given that side length of pyramid the square base is 12 cm and its slant height is 10 cm. We are asked to find the height of the pyramid.

We will use slant height of a pyramid formula to solve our given problem.

[tex]s=\sqrt{h^2+\frac{1}{4}a^2}[/tex],where,

s = Slant height,

h = Height,

a = Each side of square base.

Upon substituting our given values in above formula, we will get:

[tex]10=\sqrt{h^2+\frac{1}{4}\cdot 12^2}[/tex]

[tex]10=\sqrt{h^2+\frac{1}{4}\cdot 144}[/tex]

[tex]10=\sqrt{h^2+36}[/tex]

Switch sides:

[tex]\sqrt{h^2+36}=10[/tex]

Let us square both sides:

[tex](\sqrt{h^2+36})^2=10^2[/tex]

[tex]h^2+36=100[/tex]

[tex]h^2+36-36=100-36[/tex]

[tex]h^2=64[/tex]

Now we will take positive square root of both sides.

[tex]\sqrt{h^2}=\sqrt{64}[/tex]

[tex]h=8[/tex]

Therefore, the height of the pyramid is 8 cm and option 'b' is the correct choice.

HELP HELP HELP Help me ASAP.. Giving branliest ​

Answers

Step-by-step explanation:

hope this is correct and it helps

Carly's family traveled 3/10 of the distance to her grandmother's house on Saturday. They traveled 3/7 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?

Answers

Answer:

3/10 of the total distance to her grandmother's house was traveled on Sunday

Step-by-step explanation:

Carly's family traveled distance of Saturday = [tex]\frac{3}{10}[/tex]

Remaining distance =[tex]1-\frac{3}{10}=\frac{7}{10}[/tex]

They traveled 3/7 of the remaining distance on Sunday.

So, Distance traveled on Sunday =[tex]\frac{3}{7}(\frac{7}{10})[/tex]

Distance traveled on Sunday =[tex]\frac{3}{10}[/tex]

Fraction of the total distance to her grandmother's house was traveled on Sunday =[tex]\frac{3}{10}[/tex]

Hence 3/10 of the total distance to her grandmother's house was traveled on Sunday

does anybody know where i can watch baruto DUB all episode for free no downloads not 9 anime, not Hulu,!!!!!

Answers

Answer:

Im pretty sure there isnt a way to be able to watch it for free, but good luck!

Step-by-step explanation:

Answer:

i cant give you the link, but it's on for free at animelabs.

Step-by-step explanation:

How is this math?

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Which season has the least amount of rain in the northern latitudes? winter summer spring fall PLEASE HELP correct answer= 5stars,thank you,10pts and BRAINLIEST!Choose the word or phrase that best completes each sentence.Roman art and architecture can be found *blank*The author organized Paradise Lost to mirror Virgils Aeneid. *Blank*The author liked Virgil so much that he made him his guide in The Inferno. *Blank*The author wrote six different plays about ancient Rome and Greece. *Blank* name three ways drug abuse affects mental/emotional health Where does your organism live? Describe its habitat. Innova uses 1,000 units of the component IMC2 every month to manufacture one of its products. The unit costs incurred to manufacture the component are as follows. Direct materials $61.48 Direct labor 37.19 Overhead 126.50 Total $225.17 Overhead costs include variable material handling costs of $7.16, which are applied to products on the basis of direct material costs. 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