Solve for m.
22m^2 + 7m - 2 = 0

Answers

Answer 1

Answer:

x= -1/2 and x=2/11

Step-by-step explanation:

Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x

Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0

Look at it as if there are two equations: 22x^2+11x and -4x-2

Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)

Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)

Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2

Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:

(11x-2)(2x+1)

Solve each equation for x by equaling them both to zero


Related Questions

what is the quotient of x^2-9x+14/x-7

Answers

x-2 is the quotient!

help
kiloikuhgrfdsxdcfgbhujolp0;polk

Answers

Answer: 1. infinitely many solutions

2. no solution

3. one solution

4. no solution

5. infinitely many solutions

Step-by-step explanation:

1. infinitely many solutions - when it is consistent and the number of variables is more than the number of nonzero rows

2. no solution - would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable.

3. one solution - which is when one variable equals one number

4. no solution

5. infinitely many solutions

Marquis has 7 cups of yogurt. He gives his sister 3 3 5 cups of the yogurt, how much of Marquis’s yogurt remains?

Answers

Answer:

If you meant 3.5 then its 3.5.

Solve for x in the diagram below.
3x
75°
T =

Answers

Answer:
3x+75=180
3x=180-75
3x=105
x=105/3
x=35

Answer:

x=35

Step-by-step explanation:

The 2 angles are on a straight line together. This means they are supplementary. When they are added together, they must equal 180 degrees.

3x+75=180

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

75 is being added to 3x. The opposite of addition is subtraction. Subtract 75 from both sides.

3x+75-75=180-75

3x=180-75

3x=105

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

3x/3=105/3

x=105/3

x=35

x is equal to 35.

I have a box of 24 different types of cup cakes. 1⁄2 of the cupcakes are vanilla. 1⁄8 of the cupcakes are strawberry. And the rest of the cupcakes are chocolate. How many of each type of cupcake do we have?

Answers

Answer:

21 7/8 is choclate

1/2 or 2 is vanilla

1/8 is strawberry

Step-by-step explanation:

1/2 x 4 is is 2

1/8 < 2

2 of the cupcakes (into eights) are vanilla from which a dominatorof 8

2 plus 1/8 is 2 1/8

24 - 2 1/8 is 21 7/8

Pablo has 0 pieces of candy and wants to divide them into 2 equal piles. You want to know how many pieces will be in each pile? Can you divide zero into 2 equal parts?

Answers

Answer:

no

Step-by-step explanation:

you cannot divide zero into two equal parts because there is nothing there to start.  Since Pablo has no candy, he cannot divide it into two piles because there isn't anything to divide.

Answer: No because 0 means nothing  and you can't divide nothing among something so  that is like undefined.

Step-by-step explanation:

help please, I don't know it please​

Answers

Answer:

second payment from the left

Step-by-step explanation:

A car loan should decrease as time passes when you make regular payments

This should be the second payment from the left

How many edges does the following shape have?

Answers

The following shape has 8 edges
the following shape has 8 edges

A jar contains 7 orange, 3 yellow, and 5 blue marbles. If you pick one without looking, what is the probability that the marble you pick will be neither orange nor yellow?

show work pls tnx!

Answers

Answer:

The probability would be 5/15 or 1/3

Total = 7+3+5

= 15

yellow = 3

orange = 7

blue marbles = 5

Answer:

⇒Pgreen or yellow=5\11

Step-by-step explanation:

Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.

total

=

5

+

3

+

2

+

1

=

11

So there are

11

marbles total. The probability that we pick one of the

3

green marbles out of the

11

is simply that ratio:

P

green

=

3

11

Same idea for yellow:

P

yellow

=

2

11

The probability of picking either of these colors is simply the sum of their probabilities.

P

green or yellow

=

P

green

+

P

yellow

=

3

11

+

2

11

=

5

11

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

B, The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

x + y = 24

3x + 5y = 100

1. Rearrange the first equation to isolate either x or y.

x = -y + 24

2. Plug this new equation into the second equation to find the value of y.

3(-y + 24) + 5y = 100

-3y + 72 + 5y = 100

2y + 72 = 100

2y = 28

y = 14

3. Plug the value of y back into the other equation to find the value of x.

x = -14 + 24

x = 10

There are fourteen 5-point questions and ten 3-point questions.

Answer:

b)  The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

edgen2020

For which table would 70 be the missing value,x?

Answers

It is C

The Stone and Pounds

Answer:

c

Step-by-step explanation:

four rational numbers between 2/3 and 4/5

Answers

Answer:

5/7, 11/15, 23/31, 47/63

Step-by-step explanation:

any number you can write into a fraction between those numbers

Question 6 of 10
2 Points
Which of the following words means "chore"?
A. El sillón
B. El estante
C. El dormitorio
O D. El quehacer

Answers

Answer:

D

Step-by-step explanation:

it translated into housework in other words chore. hope this helps :)

Answer:

D

Step-by-step explanation:

-

Help!
Suppose that a biologist is watching a trail known for wildebeest migration. During the first minute, 24 wildebeests migrated past the biologist on the trail. Each minute, the number of wildebeests per minute increased by 3.

How many wildebeests migrated past the biologist during the first 20 minutes?

Enter your answer in the box.

Answers

Step-by-step explanation:

first minute = 24 wildebeest

by 20 min = (20 × 3) + 24 = 84 wildebeest

Please if you know this please help me I’m stuck I don’t know

Answers

Answer:

The vertical angles theorem

Step-by-step explanation:

The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.

Angles ∠JKN and ∠MKL fit the criteria of the vertical angles theorem, meaning they are congruent.

what is the area of the circle?​

Answers

Answer:

Area =28.27

Step-by-step explanation:

Answer:

The area of circle:

[tex]A \approx 28.27[/tex] [tex]m^2[/tex]

Step-by-step explanation:

To find the area of circle, you need this formula:

[tex]A = \pi r^2[/tex]

-After have the formula set up, use the given radius for the formula:

[tex]A = \pi 3^2[/tex]

-Then, you solve:

[tex]A = \pi \times 3^2[/tex]

[tex]A = \pi \times 9[/tex]

[tex]A = 9\pi \approx 28.27[/tex] [tex]m^2[/tex]

-So, the area of a circle is [tex]28.27[/tex] [tex]m^2[/tex] .

A scale drawing has a scale of 3in:1ft. What is the scale factor?​

Answers

Answer:

1 : 4

Step-by-step explanation:

Remember, your units have to match, so

3 in : 1 ft

doesn't look right, change 1 ft to 12 in.

3 in : 12 in

reduce by 3

1 : 4

A box is filled with9 yellow cards,2 red cards, and 9 blue cards. A card is chosen at random from the box. What is the probability that the card is not red? Write your answer as a fraction in simplest form.

Answers

Answer: 9/10

Step-by-step explanation:

Total cards are 20

Out of these, only 2 are red. So, the probability of the card not being red is 18/20 = 9/10

Answer:

Brainliest here! >:D

Step-by-step explanation:

the is a total of 20 cards

2 of them of red

so 18 of the 20 (18/20) is not red

so the probability theroticatily is 9/10 or 90%

You calculated the standard deviation of the sample mean differences to be .69. You also calculated the sample mean difference to ge 1.74. Now you'll determine whether the difference is significant

Answers

Answer:

Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If |Z| > 2, the measure X is significent.

In this question:

[tex]|X - \mu = 1.74|, \sigma = 0.69[/tex]

So

[tex]Z = \frac{1.74}{0.69} = 2.52[/tex]

Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.

PLEASE HELP WILL MARK BRAINLIEST

Draw the reflection of the figure over the line shown.


Answers

Answer:

Step-by-step explanation:

Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.

1 - 6i is a zero of f(x) = x4 - 2x3 + 38x2 - 2x + 37.

Answers

Answer:

[tex]1+6i[/tex]

Step-by-step explanation:

The expression [tex]1-6i[/tex] represents a complex number. Particularly, complex solutions can't happen in odd number, for example, the minimum complex solutions an expression can have is 2.

Additionally, complex solutions are related by conjugates, which means the second solution to this polynomial is [tex]1+6i[/tex], because is the conjugate of the given complex root.

Pls help me. I need this done ASAP thank you :)

Answers

Answer:

[tex]\frac{5}{7}[/tex]

Step-by-step explanation:

So she has 14 shirts in all. There are 10 colored shirts.

[tex]\frac{10}{14} =\frac{5}{7}[/tex]

answer 5 /7  

hi  there are fourteen shirts and the more shirts the less of a possiblility

Step-by-step explanation:

if you want a percentage its 7.14 %

i hope i helped if you need help with any thing else please tell me :)

please mark as brainliest

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books. Which system of linear equations represents the situation?
x + y = 26 and x + y = 12
x + y = 26 and x – y = 12
x + y = 26 and –x + y = 12
x – y = 26 and x + y = 12

Answers

Answer:

x + y = 26  and x – y = 12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

just did it

Solve for x.
Your answer must be simplified.
-x < -29

Answers

Answer:

x=29

Step-by-step explanation:

isolate x, and multiply the 29 by -1

Using the order of operations, what should be done first when evaluating this expression?
-1/2 divided by 2(9+3)-4-3/4(8)

Answers

Answer:

[tex]-\frac{16}{17}\\-0.94117[/tex]

Step-by-step explanation:

[tex]\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\left(8\right)}}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\cdot \:8}}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}=\frac{17}{32}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}\\2\left(9+3\right)-4-3=17\\2\left(9+3\right)-4-3\\2\left(9+3\right)=24\\2\left(9+3\right)\\\mathrm{Add\:the\:numbers:}\:9+3=12\\=2\cdot \:12\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:12=24\\=24-4-3[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:24-4-3=17\\=\frac{17}{4\cdot \:8}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:8=32\\=\frac{17}{32}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{\frac{1}{2}}{\frac{17}{32}}\\\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}\\=-\frac{1\cdot \:32}{2\cdot \:17}\\Refine\\=-\frac{32}{2\cdot \:17}\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:17=34\\=-\frac{32}{34}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\=-\frac{16}{17}\\\mathrm{Decimal:\quad }\:-0.94117[/tex]

HELP!! IMPORTANT!! PLEASE HELP!!
John checked his answer and found that it was incorrect. John’s work is below. What did he do incorrectly?

ℎ + 10 = 25
ℎ + 10 + 10 = 25 + 10
ℎ = 35
Please list everything he did incorrectly! Thank you!!

Answers

Answer:

he added 10 instead of subtracting 10 to isolate the variable, then he just removed the 20 that would be with the variable

Step-by-step explanation:

The cost of each white tile was £2 the cost of each blue tile was £4 b) work out the ratio of the total cost of the white tiles to the total cost of the blue tiles

Answers

Answer:

2b) 4/2=2

3) 80/60=8/6

Olivia is sorting through the coins in her bank to determine how
much money she has. She sees that she has $3.25 in quarters.
The equation 0.25x $3.25 can be used to figure out how
many quarters are in Olivia's bank. Using substitution, Olivia

Answers

Answer:

It is 13 quarters.

Step-by-step explanation:

0.25x=3.25

How can I Simplify -(x+5)+3x

Answers

Answer:

2x - 5

Step-by-step explanation:

Distribute the negative sign outside of the parentheses first to get

-x -5 + 3x

Combine like terms

= 2x - 5

Answer:

2x-5

Step-by-step explanation:

=-(x+5)+3x

=-x-5+3x  opening brackets

=-x+3x-5

=2x-5

Find the solution of ×\2-1/5=×\3+1/4 please help me with this​

Answers

Answer:

[tex]x=\frac{27}{10}[/tex]

Step-by-step explanation:

Assuming that the beginning equation is [tex]\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}[/tex]

First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator

[tex]\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}[/tex]

Now, we can multiply each side by 60, which will remove the fractions

[tex]30x-12=20x+15[/tex]

Now we can add 12 to each side

[tex]30x=20x+27[/tex]

Now subtract 20x from each side

[tex]10x=27[/tex]

And lastly, divide each side by 10

[tex]x=\frac{27}{10}[/tex]

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The company wants to determine the blend that will meet the customer's requirements and maximize profit (a) Use the power series expansions for ex, sin x, cos x, and geometric series to find the first three nonzero terms in the power series expansion of the given function. (b) Based on the information given in the section on algebraic properties of power series, for which values of x can you guarantee that the new series converges. (If you have a CAS, you can easily find several more nonzero terms in the power series expansions of the functions.)(e^x)/(cos(x)) monroes message to congress As humans, we tend to focus on ______ comments more strongly than ______ comments. positive important constructive constructive important helpful negative unhelpful unhelpful positive helpful negaitve (8^3 + 2^2 + 1) - (7 - 7^3+3^2) Find mUTS, if mUTV=x+15, mVTS=140, and mUTS=15x+15. 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He said I was thoughtless, and that it was his duty as my husband not to indulge me in my whims and caprices as I believe he called them. Very well, I thought, you must be saved and that was how I came to devise a way out of the difficultyMrs. Linde: and did your husband ever get to know from your father that the money had not come from him?Nora: no, never. Papa died just at that time. I had meant to let him into the secret and beg him never to reveal it. But he was so ill thenalas, there never was any need to tell him.Mrs. Linde: and since then have you never told your secret to your husband?Nora: good heavens, no! How could you think so? Imagine who has such strong opinions about these things! And besides, how painful and humiliating it would be for Torvald, with his manly independent, to know that he owed me anything! 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It should use two parallel seven-element arrays: an array of strings that holds the seven popcorn names and an array of integers that holds the number of bags of popcorn sold during the past month for each popcorn flavor. The names should be stored using an initialization list at the time the flavors array is created. The program should prompt the user to enter the number of bags sold for each flavor. Once the popcorn data has been entered, the program should produce a report for each popcorn type, total sales, and the names of the highest selling and lowest selling products. Be sure to include comments throughout your code where appropriate. Complete the C++ code using Visual Studio or Xcode, compress (zip) and upload the entire project folder to the Blackboard assignment area by clicking on the Browse My Computer button or by dragging the file inside the Attach Files box g The Universal Containers company thinks it knows everything about business. However, Einstein Discovery surfaces an unexpected pattern that is concerning. They call in department experts and hold a meeting to discuss next steps with an Einstein Consultant. What should the consultant advise as the next action?A. Determine if the pattern is a data issue or a new insightB. Filter out the data that causes the unexpected pattern and analyze the new resultsC. Accept the new pattern and have confidence that Einstein knows the business accurately to the customerD. Consult a Data Scientist for further analysis A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation A company which sells farm equipment must pay a federal tax of 5.5% on every sale. Last month the companys sales totaled $335,000. How much federal tax is owed? Suppose the U.S. economy is initially at long run equilibrium, when there is an unexpected large increase in the price of steel used by firms in production. How does this impact the U.S. economy? (write out either "inflationary" or "recessionary" In response to this what monetary policy would the Fed employ? (write one of the following: "raise taxes", "lower taxes", "raise money supply", or "lower money supply" What is the most likely way the Fed will accomplish this change in the monetary policy? (write one of the following: "buy securities", "sell securities", "raise discount rate", "lower discount rate", or "legislation" This action by the Fed will cause interest rates to _______. (Write out "increase" or "decrease" The end result of the monetary policy is a shift of which curve in which direction. 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He'd quickly compare it to his old school, which in his words was superior to ours in every way. The last thing I showed Curtis was the front door. I told him that he would like this one best because he could walk through it and go back to his old school.