Mathematics High School

Somebody please help. this is quadratics
Solve each equation by taking square roots.
[tex]1.)6x^2=-90\\2.)b^2-4=-2\\3.)16x^2-7=-6\\4.)10p^2+9=239[/tex]

Answers

Answer 1

Answer:

1)

[tex]6x^2=-90\\x^2=-15\\\sqrt{x^2} =\sqrt{-15} \\x=i\sqrt{15} ,-i\sqrt{15}[/tex]

2)

[tex]b^2-4=-2\\b^2=2\\\sqrt{b^2} =\sqrt{2} \\b=\sqrt{2} ,-\sqrt{2}[/tex]

3)

[tex]16x^2-7=-6\\16x^2=1\\x^2=\frac{1}{16} \\\sqrt{x^2} =\sqrt{\frac{1}{16}} \\x=\frac{1}{4} ,-\frac{1}{4}[/tex]

4)

[tex]10p^2+9=239\\10p^2=230\\p^2=23\\\sqrt{p^2} =\sqrt{23} \\p=\sqrt{23},-\sqrt{23}[/tex]

Related Questions

at a charity casino event, a woman begins playing a slot machine with $10 in quarters in her coin bucket. she plays 15 quarters before winning a jackpot of 50 quarters. she then plays 20 more quarters in the same machine before walking away. how many quarters does she now have in her coin bucket?

Answers

Answer:

265 quarters ($66.25)

Step-by-step explanation:

10$ in quarters is 250 quarters.

you subtract the 15 from winning (=235), then add 50 for the jackpot (=285). Subtract another 20 for her final plays (=265).

It costs $1.20 per person and $3.75 per hour to rent a meeting room at the library. Let x represent the number of people and y represent the number of hours. If 3xpeople rented the room for 2yhours, write an expression to represent the total cost of the rental?

Answers

Answer:

1.2(3x)+3.75(2y)

Step-by-step explanation:

multiply 1.2 by what you know for number of people

multiply 3.75 by what you know for number of hours

what is the distance between - 24 and 11

Answers

Answer:

13

24-11 = 13

Step-by-step explanation:

Answer:

35 units

Step-by-step explanation:

The distance is the absolute value of the difference between the coordinates of end points:

d = |-24 - 11| = | - 35| = 35 units

Round 63.7786879082 to the nearest tenth.

Answers

The answer would 63.78

A worker has job offers from two companies. The information below summarizes the job offer from each company.Company A:Starting salary of $31,000Raise of $3000 each yearCompany B:Starting salary of $38,000Raise of $2000 each yearPart A: Write an equation in terms of n years that can be used to determine the number of years when the salaries would be the same for both companies.Part B: Use the equation you wrote in part A to determine the number of years it would take for the salaries to be the same for both companies. Use mathematics to support your answer.

Answers

Using linear functions, we have that:

A.

For Company A: [tex]S_A(n) = 31000 + 3000n[/tex]

For Company B: [tex]S_B(n) = 38000 + 2000n[/tex]

B. The salaries will be the same after 7 years.

A linear function is given by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.

Item a:

For Company A, the salary starts at $31,000, with a raise of $3,000 each year. Thus, [tex]b = 31000, m = 3000[/tex], and the salary after n years is given by:

[tex]S_A(n) = 31000 + 3000n[/tex]

For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus, [tex]b = 38000, m = 2000[/tex], and the salary after n years is given by:

[tex]S_B(n) = 38000 + 2000n[/tex]

Item b:

They will be the same after n years, for which:

[tex]S_A(n) = S_B(n)[/tex]

Then

[tex]31000 + 3000n = 38000 + 2000n[/tex]

[tex]1000n = 7000[/tex]

[tex]n = \frac{7000}{1000}[/tex]

[tex]n = 7[/tex]

The salaries will be the same after 7 years.

A similar problem is given at https://brainly.com/question/24282972

5√162−3√8 to its simplest form

Answers

Answer:

I think it is this one:

39√2

The simplest form of 5√162−3√8 is 39√2 or 55.146

What is simplification?

Simplification or simplifying fractions way to simplify a complex mathematical expression to get an unmarried or direct answer.

Calculation:-

⇒5√162−3√8

⇒5*12.72-3*2.83

⇒63.6-8.49

⇒55.146

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Airfare from Atlanta, GA to Nashville,TN was decreased from $250 to $180. By what percentage did the cost of the airfare change?

Answers

Answer:A decrease of 28%

Step-by-step explanation: the question says decreased so you can mark out A and B then 250-180 is 70, 70% of 250 is 28%

The percentage is the indicating hundredth thus the percentage change from $250 to $180 is 28%.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

As per the given question,

Initial price of Airfare = $250

Final price of Airfare = $180

The percentage = change/initial  ×  100

Percentage decrease = (250 - 180)/250  × 100

⇒ 0.28 × 100 = 28%

Hence "The percentage is the indicating hundredth thus the percentage change from $250 to $180 is 28%".

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Write a few sentences discussing where you think the same kind of reasoning skills used in geometry proofs is applied in professional jobs.
Give 2 or more careers that apply. (6 points)
Provide clear reasoning or examples to justify your choices (4 points).

Answers

Answer:

Builder

Step-by-step explanation:

Rhombus ABCD has vertices A(1,1), B(5,3), C(7.7), and D(3,5). After a translation, the image A'
is located at (-2,8). What are the coordinates of C'?

Answers

Answer:

C'(4, 14)

Step-by-step explanation:

Which number is farther from 0 on a number line: -9 or 6? Explain your resoning.

Answers

Answer:

-9 because it is to the left of the number line, smaller than 6 and a negative

-9 is farther from 0 on a number line, if you count back from 6 to 0, obviously its 0. But if you count from -9 back to 0 it’s 9 digits away.

what is the volume of this cylinder with a 5 cm radius and 14cm height

Answers

Answer:

V≈1099.56cm³

Solution:

V=πr2h=π·52·14≈1099.55743cm³

please show working, please!

Answers

Answer:

84

Step-by-step explanation:

7/10 of them likes math and there are 240 student in total

240 / 10 = 24 and 24*7 = 168 student likes math if half of them are girls

then there are 84 girls that likes  math.

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

Median. Explanation to each part below.

Step-by-step explanation:

a) Starting with calculating the mean, which is all the values added divided by the number of values (in this case he has 6 scores total).

[tex]mean/average=\frac{81+87+93+89+61+81}{6} =\frac{492}{6} = 82[/tex]

b) To find the median, arrange all the test scores in increasing order and find the middle/median value. We have 6 scores, so we will have 2 middle scores. If we had 7 scores, we would find only 1 score in the middle which would be the median. We will have to find the average of the two scores.

[tex]61,81,81,87,89,93[/tex]

The middle values will be 81 and 87 so find the average of those 2 scores.

[tex]Median: \frac{81+87}{2} =\frac{168}{2} =84[/tex]

c) The mode is the score which occurs the most. In this case, Jack has 2 scores that are 81, which is his mode.

d) The measure that would make his performance sound good would be the median. The mode and mean are below the score of 84 that he gets for the median. He would want to flaunt this measure to show he performs well.

Leah has a points card for a movie theater. • She receives 30 rewards points just for signing up. • She earns 2.5 points for each visit to the movie theater. • She needs 50 points for a free movie ticket. Write and solve an equation which can be used to determine v, the number of visits Leah must make to earn a free movie ticket.​

Answers

Answer:

2.5v+30=50

V=8

Step-by-step explanation:

Evaluate 5 + {2[(48 – 40) ÷ 4 + (2 x 5)]}

Answers

Answer:

29

Step-by-step explanation:

First we do 48-40 which is 8, then 8/4 which is 2 and then 5x2 and add them so 10 + 2 which is 12 and then 12 x 2 which is 24 and then add 5 so 29.
Plz give me brainliest answer

please do this for me

Answers

X = 23 because a straight angle is 180 degrees so if you subtract 100 from 180 you get 80 which means that the top angle is 80 degrees. In a triangle all angle have to add up to 180 so 5

b. What is the volume of a cube with edge length of 1/3
cm?

Answers

Answer:

1/8 cm^3

Step-by-step explanation:

[tex] ({ \frac{1}{3} })^{3} = \frac{1}{8} [/tex]

Your answer would be

V=a3

What is 223*445=
What is 2+2

Answers

Answer:

99235

4

Explanation: Addition, and Multiplication

[tex]\sf 10\times 10=?[/tex]

Answers

Answer:

100

Step-by-step explanation:

hope it's help you

pls brainliest me:(

Your friend calculates the distance between points​ Q(1,5) and​ R(3,8), as shown below. What is his​ error?

Answers

The distance between two points is the number of units between them.

The distance between Q and R is 3.61 units

It is impossible to determine your friend's error, because the steps are not given in the question. So, I will calculate the distance between Q and R, instead.

The distance (d) between two points is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, the distance QR is:

[tex]QR = \sqrt{(1 - 3)^2 + (5 - 8)^2}[/tex]

[tex]QR = \sqrt{(- 2)^2 + (- 3)^2}[/tex]

Evaluate exponents

[tex]QR = \sqrt{4 +9}[/tex]

[tex]QR = \sqrt{13}[/tex]

Take square root of 13

[tex]QR = 3.61[/tex]

Hence, the distance between Q and R is 3.61 units

Read more about distance at:

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solve for x
r=xy

(Show solving steps please)

Answers

Answer:

x=r/y

Step-by-step explanation:

xy together means they are multiplying.

to move y over you do the opposite which is divide by Y on both sides

r/y = xy/y

that way x is next to 1, which we don't have to write

r/y=x

hey I'm helping my sister with her homework and I sadly suck at these so cam someone please help me.:)

put these fractions from least to greatest

3/4 3/5 3/7​

Answers

3/7, 3/5, 3/4

if you draw out a illustration representing each fraction, you would find the answer.

hope this helped.

Least to Greatest:
3/7 < 3/5 < 3/4

mark me brainiest if this helped!

What are the correct answers to this geometry question?

Answers

Answer:

x = 9

AB = 9

BC = 15

Step-by-step explanation:

x + x + 6 = 24

2x + 6 = 24

2x = 24 - 6

2x = 18

x = 18 / 2

x = 9

AB = x = 9

BC = x + 6

= 9 + 6

BC = 15

A fierce guard dog is tethered by a 15 m chain to a post that is 6 m from a straight path. For what distance along the path is a trespasser in danger from the dog?​

Answers

The distance from the road where an intruder would be in danger is 27.48 m.

To know how far from the road an intruder is in danger due to the dog, it is necessary to carry out the following procedure:

Establish the range of the dog with a circle of 15 meters in radius around the post on which he is tied.

In this part it can be inferred that a part of the path is in the range of the dog between points B and D (In this area the intruder would be in danger)

From this we know the following data:

Length AB = 15mLength AD = 15mLength AC = 6m

To know the length of points BC and CD we must perform a calculation using the formula of the Pythagorean theorem.

BC = [tex]\sqrt{15^{2} - 6^{2} }[/tex]BC = [tex]\sqrt{225-36}[/tex]BC = [tex]\sqrt{189}[/tex]BC = 13,74 m

Later we use the same procedure to find the length CD.

CD = [tex]\sqrt{15^{2} - 6^{2} }[/tex]CD = [tex]\sqrt{225-36}[/tex]CD = [tex]\sqrt{189}[/tex]CD = 13,74 m

Finally, we add both lengths (BC + CD) to know the distance in which an intruder is in danger within the dog's range.

BC + CD = BD = 27,48 m

Learn more in: https://brainly.com/question/14930619

Help please I really need it!

Answers

roc = 2

rise is 2, run is 1

2/1 = 2

Answer: The answer is 2 because rise 2 and run only 1. You then do 2/1 and you get 2!

I don't understand this question can someone help me with this please, please explain!! and thank you for the help

Answers

Answer:

The 3rd option

Step-by-step explanation:

Look at the data provided:

12, 17, 18, 20, 16, 10, 13, 21, 9, 10, 22

In a box-and-whisker plot, draw a box from the first quartile to the third quartile:

Q1 = 11

Q3 = 19

A vertical line goes through the box at the median:

Median (Q2): 15

The whiskers go from each quartile to the minimum or maximum:

Minimum: 9

Maximum: 22

Hope this helped :)

Which best describes the graph of the function f(x) = 4(1.5)x?
​

Answers

In the question "Which best describes the graph of the function f(x) = 4(1.5)^x?" The correct answer is "The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5." (option B) Because when x = 0, f(0) = 4(1.5)^0 = 4(1) = 4. Thus the graph passes through (0, 4). Also for every increase of 1 in the x-values, the y-values increase by a factor of 1.5 i.e. f(0) = 4(1.5)^0 f(1) = 4(1.5)^1 f(x) = 4(1.5)^2 etc

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/3695268-which-best-describes-the-graph-of-he-function-f-x-4-15-x.html#answer4949036

Answer:

B

Step-by-step explanation:

Since this Equation isn't linear because of the squaring, we can eliminate A and C which imply linear functions. Then it's as easy as pluging in zero for the equation and seeing which one works, and you get an answer of B

Need help with math:/!!!!

MN is 6 units. Find the lengths of NZ and XZ.

For the image see if you have enough info to find the missing lengths. If not, explain why.

Answers

Answer:

Step-by-step explanation:

[tex]\frac{3 +NZ}{3}[/tex] = [tex]\frac{5+5}{5}[/tex]  ⇒  NZ = 3

XZ = 6 × 2 = 12

The length of NZ = 3 units.

The length of XZ = 12 units

Triangle Proportionality TheoremWhat is Triangle Proportionality Theorem?

A line that runs perpendicular to one side of a triangle and crosses the other two sides equally splits the two sides.

Use of Triangle Proportionality Theorem to find the sides:

Step 1: Consider side NY, NZ, YM, MX

By the theorem,

[tex]\frac{YN}{NZ}=\frac{YM}{MX}[/tex]

[tex]\frac{3}{NZ}=\frac{5}{5}[/tex]

[tex]NZ=3[/tex] units

Step 2: Consider sides YM, YX, NM, ZX

[tex]\frac{YM}{YX} =\frac{NM}{ZX}[/tex]

[tex]\frac{5}{10} =\frac{6}{ZX}[/tex]

[tex]ZX = 12[/tex] units.

Therefore, the values for the sides are NZ = 3 units and XZ = 12 units.

To know more about more about similar triangles, here

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At the zoo, a child pays c dollars for a ticket and an adult pays g dollars. Explain in words the meaning of g=2c

Answers

Answer:

Step-by-step explanation:

Round 6,248 to the nearest hundred

Answers

Answer:6200

Step-by-step explanation:

:We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

: We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

: If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

:In this case, Rule B applies and 6248 rounded to the nearest hundred is:

6200

Answer: the answer is 6,200 hope it helps!

Step-by-step explanation:

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