Mathematics High School

Consider the quadratic expression given below.

4x^2 + 8x - 60

Factor the following expression completely.

Answers

Answer 1

Answer:

4(x + 5)(x - 3)

Step-by-step explanation:

Given

4x² + 8x - 60 ← factor out 4 from each term

= 4(x² + 2x - 15) ← factor the quadratic

Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)

The factors are + 5 and - 3 , since

+ 5 × - 3 = - 15 and + 5 - 3 = + 2, then

x² + 2x - 15 = (x + 5)(x - 3)

Then

4x² + 8x - 60 = 4(x + 5)(x - 3) ← in factored form

Related Questions

PLS HELPP! :)

What is the radius with a circumference of 122 in?

Answers

Answer:

this is the answer r≈19.42in

because you radius with a circumference of 122in

and that's your answer

Step-by-step explanation:

hope it works

Find the product of (21.2)*(0.02)

Answers

(21.2)*(0.02) = 0.424

Hope this helps.
53/53 =0.424

Multiply 21.2 and 0.02 to get 0.424.

Two bags of chips cost $1.50.
Will one bag cost more or less than $1.50?

Answers

Answer:

Less

Step-by-step explanation:

If 2 bags of chips cost $1.50, 1 bag of chip costs half that price.

g(6)
find the function​

Answers

g(6) = (1/3)(6) + 3 because the expression you stated for g(x) simply has one third as the coefficient, i.e. it's a linear function--if something else was intended, you would have to include parentheses to control the PEMDAS evaluation.

Therefore g(6) = 5
and consequently f(g(6)) = f(5) = 6(5) - 3 = 27

What is the opposite of 17

Answers

Answer:

-17

Step-by-step explanation:

"the opposite of 17 is -17. You can figure this out by finding the negative version of 17, or the additive inverse of 17. Opposites, when added together, create a sum of 0."

Answer:

-17?

Step-by-step explanation:

Hope this is useful!

Have a nice day!

PLS HELP!! GIVING BRAINLIST!!

Michael uses a blend of dark chocolate and milk chocolate to make the ice cream topping at his restaurant. He needs to buy 100 kg of chocolate in total for his next order. Dark chocolate costs $12 per kilogram, milk chocolate costs $10 per kilogram, and he wants to spend $1120 total.

Let d be the number of kilograms of dark chocolate he buys and m be the number of kilograms of milk chocolate he buys.

Which system of equations represents this situation?

Answers

Answer:

d + m = 100

12d + 10m = 1120

Step-by-step explanation:

d = 60

m = 40

Answer: 60 kg dark chocolate, 40 kg milk chocolate

Step-by-step explanation:

Okie soooo

Let's name the variables (which they did for us lol)

d = kg of dark chocolate and m = kg of milk chocolate

He needs 100 kg of chocolate

d + m = 100

and he wants to spend 1120 when dark chocolate costs $12/kg and milk chocolate costs $10/kg

12d + 10m = 1120

Now we solve the system (I shall use elimination method)

Multiply the first equation my -10

-10(d + m) = (100)(-10)

which becomes

-10d - 10m = -1000

12d + 10m = 1120 (rewrite the second equation)

------------------------- (add the two equations together)

2d = 120

d = 60

now substitute d into either equation

60 + m = 100

m = 40

60 kg dark chocolate

40 kg milk chocolate

help please, what’s the answer to this?

Answers

The answer is c , c yea

Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b) part2

Answers

Step-by-step explanation:

alternative interior angles

What is the y-intercept of the following graph?





a. (-2,5)

b, (-1,0)

c. (-1,-2)

d. (0,-5)

Answers

I believe the answer is B: (-1,0)

A council reviews the number of bedrooms in 40 houses located in the same area. The table shows the information gathered. Find the modal average number of bedrooms. Work out the mean number of bedrooms

Answers

Mode is the most frequent number, in this case, 3 bedrooms appears 15 times. As a result 3 is the mode.
Doing the mean, is the same as providing a weighted average of bedrooms, with the weights being the frequency a given number of bedrooms appears at. As such, I need to multiply each element of the first column with the respective element of the second column. For example, for 1 bedroom, I have 1 x5 = 5; for 2 bedrooms I have 2x10 =20; if we do this across all number of bedrooms, and then add it all up, we get 113. We then divide this 113, by the number of flats being surveyed ie 40. This gives an average (or mean) of 2.825

The modal average number of bedrooms is 3, while the mean number of bedrooms is 2.825.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

A.) The modal average number is a mode of a given data set. Now, if the mode of the given data is needed to be taken then we need to observe the row that has the highest frequency.

Therefore, the modal average number of bedrooms is 3.

B.) The mean number of bedrooms can be found as shown below.

Mean number of bedrooms = (1×5 + 2×10 + 3×15 + 4×7 + 5×3)/40

                                               = (5 + 20 + 45 + 28 + 15)/40

                                               = 113/40

                                               = 2.825

Hence, the modal average number of bedrooms is 3, while the mean number of bedrooms is 2.825.

Learn more about Mean:

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What is the y_intercept of the equation y=2x+5 (5 /3/2)

What is the slope of the equation y=2x+5​

Answers

y intercept is 5
see the photo attached

how to find the rate of change of the inputs

Answers

Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value.

HELP! EXPLAIN! BRAINLIEST, STARS, AND HEARTS IF CORRECT!

Answers

Answer:

x = 20

Step-by-step explanation:

PLEASE HELP! I WILL GIVE BRAINLIEST!
Which expression better represents the amount of money being subtracted?

Answers

Answer:

2.25-1.75=.50

If a train travels 165 km in 1 hour 50 minutes at a constant speed, calculate how far it could travel in 3 hours

Answers

330km in 3 hours
162 x 2= 330

The train travel 270 Km in 3 hours.

What is speed- distance?Speed = Distance/Time Distance = Speed X TimeTime = Distance / Speed

Given:

Distance = 165 Km

Time= 1 hour 50 min

        = 1 5/6 hour = 11/6 hour

So, speed= distance/ time

speed = 165 / (11/6)

           = 165 x 6/11

           = 15 x 6

          = 90 Km/ h

Then, In three hour the train travels

Distance= 90 x 3

Distance= 2700 Km

Learn more about Speed- distance formula here:

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Find the value of the trigonometric ratio Sin C

Answers

Answer:

20/29

Step-by-step explanation:

Sin is Opposite/Hypotenuse. The opposite leg is 20, and the hypotenuse is 29.

Nos últimos meses, as FaKe News tomaram conta do mundo.Cite alguma notícia que você leu e depois descobriu que não era verdadeira.​

Answers

Answer:

wq3fergsefgedfgyhtrfedcsyhngfd

Step-by-step explanation:

Answer:

oh tilogo boy? Java is a very good ahold of the most common way that you're going to have a great the most popular of the best of all the way to the top left of this site may be the first place in the world to the public to see the new version provides a unique and special.

What do i do if i broke a girls heart and what to make it up to her?

Answers

Answer:

flowers?

Step-by-step explanation: hope this helps

Answer:

well tbh you can only make it up to her if she lets you and it depends if she even wants anything to do with you like at all after you have broken her heart you can try talking to her first and then go from there many get her flowers or like a teddy bear actually do both  if she will allow you to make it up to her do anything and everything possible to make it better if she lets you

Step-by-step explanation:

help click all the questions

Answers

Answer:

B,B,C

Step-by-step explanation:

#1: Meat is usually in ounces, patties weigh not too much, but enough. reasonable estimate. #2: Oil is a liquid, used not too much in baking. #3: Must be equal to 16/5.

please help me i really need my grade up

Answers

Answer: check out my music

Sometimes the best response is none at all

You probably would’ve left your m.ans, that ain’t one hundred, dawg

See nowadays, it’s like the fans doing the po.lice job

е

Step-by-step explanation:

Annika is right, Chris accidentally added the 2 to 15.
Please mark as brainliest.

Whats the vloumeeeee????>????!?!!??

Answers

Volume = (edge)^3

Let V = Volume of cube

V = 1_1/2 • 2 • 1_1/2

V = 9/2

Answer: 4.5

:) 1.5 x 1.5 x 2 = 4.5

HELPPPP ME PLZZZ

Micah wants to know the most common style of surfboard used at Breakers Point. He surveys surfers at Breakers Point between 8:00 A.M. and 12 P.M. Which of the following statements is true about Micah’s survey? Select all that apply


A. Micah will obtain a random sample by talking to as many surfers as possible.

B. The population for the survey is all people who surf at Breakers Point.

C Micah will not get a representative sample.

D.Micah's sample will be representative because anyone can surf at Breakers Point.

Answers

Answer:

B. The population for the survey is all people who surf at Breakers Point.

D.Micah's sample will be representative because anyone can surf at Breakers Point.

Step-by-step explanation:

hope it helps

The statements that are true are:

The population for the survey is all people who surf at Breakers Point.

Micah will not get a representative sample.

Options B and C are the correct answer.

What is random sampling?

It is the way of choosing a number of required items from a population given.

Each item has an equal probability of being chosen.

We have,

A.

Micah will obtain a random sample by talking to as many surfers as possible.

This statement is not necessarily true as Micah may not be able to talk to all the surfers at Breakers Point during the time frame mentioned. Additionally,

Randomly selecting surfers would result in a better representation of the population.

B.

The population for the survey is all people who surf at Breakers Point.

This statement is true, as the population of interest is the surfers at Breakers Point.

C.

Micah will not get a representative sample.

This statement is also true, as the survey is conducted only between 8:00 A.M. and 12 P.M, which may not be representative of all surfers at Breakers Point.

Additionally, there may be bias in the sample if Micah only surveys surfers at a certain location or time period.

D.

Micah's sample will be representative because anyone can surf at Breakers Point.

This statement is not necessarily true as not all surfers may surf at the same time or location, or have the same level of experience or preference for surfboard style.

Thus,

The population for the survey is all people who surf at Breakers Point and

Micah will not get representative sample statements are true.

Learn more about random sampling here:

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Kiemanh is solving the equation 15r-6r= 36. What is the value of r?
O 2
O 4
O 15
O 27

Answers

Answer:

4

Step-by-step explanation:

15r-6r=36

9r=36

r=36/9

r=4

ANSWERS TO 7-8 ASAP PLZZZ MARKINV BRAINLIEST

Answers

Answer:

7. B

8. D

Step-by-step explanation:

What is the variable in the expression below?
3y?

Answers

Answer
y
Explanation

In mathematics, a variable is a symbol or letter, such as "x" or "y," that represents a value.

value of x!!!! THANKS LAST ONE!!!

Answers

Answer:

45

Step-by-step explanation:

Write the SLOPE INTERCEPT FORM of the equation of the line parallel to y=23x+19 through the point (6, 2). First to answer correctly gets brainliest!

Answers

Answer:

y = 23x - 136

Step-by-step explanation:

Since the lines are parallel, they have the same slope. So, the slope of the new line is 23 as well.

Now we have: y = 23x + b

plug in the points that are on this line (6,2) :

2 = 23 x 6 + b

2 = 138 +b

-136 = b

Line: y = 23x - 136

you spend $40 on 5 pounds of concrete what is the unit rate in dollars per pound?​

Answers

Answer:  $8

Step-by-step explanation:

$40 divided $5 by equals $8.

answer: 8
because 40 divided by 5 is 8

Can anyone relate? Lyke, its sooooo true

Answers

Answer:

Same

Step-by-step explanation:

I knowwww right, like same, sooo trueeee

7. Construct a pie chart to depict the data given below:
Small
industries
Various fields
Employment Other
Agriculture
Transport
Power
Allocated
1200
1800
expenditure (in lakh)
3000
2400
1200
2400​

Answers

aku gak tau apa Jawaban nya Jadi aku Minta maaf

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