Factor 15a^3+ 20a^2- 6a- 8 by grouping

Answers

Answer 1

[tex]15a^3+ 20a^2- 6a- 8[/tex]
= [tex]5a^2(3a+ 4) - 2(3a + 4)[/tex]
= [tex](3a+ 4) (5a^2- 2)[/tex]

Related Questions

Mr. Stuart has 12 girls and 10 boys in his math class. He writes each of their names on a separate sheet of paper and puts all of the names in a bag. He selects one name without looking. What is the probability that Mr. Stuart will select a boy’s name?

Answers

The probability of Mr. Stuart pulling a boys name is very likely. Although there is slightly more girls it is still as many boys.

456 000 has been rounded to the nearest thousand. What was the smallest possible number this could have been?

Answers

The smallest possible number could have been 455,500

Answer:

The smallest possible number this could have been = 455500

Step-by-step explanation:

456000 has been rounded to the nearest thousand.

If the value is more than 456500 the value rounded to the nearest thousand is 457000.

If the value is less than 455500 the value rounded to the nearest thousand is 455000.

In between 455500 and 456500 the value rounded to the nearest thousand is 456000.

So, The smallest possible number this could have been = 455500

What is 534.076 rounded to the nearest hundredth? A. 534.07 B. 534 C. 500 D. 534.08

Answers

its going to be obviously D

D 534.08 this would help

Jacqueline had four $5 bills. She bought a shirt for $10. Explain what fraction of her money Jacqueline has left. Use equivalent fractions.

Answers

$5•4= $20

20-10= 10

10/20= 1/2

How much compound interest is earned on $2050 at 4% interest for 3 years, compounded annually? Give your answer in dollars and cents. Don’t forget to subtract P from A.

Answers

To solve for the amount + interest for compounding interest you will use this formula:
[tex]A = P ( 1 + \frac{r}{n}) ^{nt} [/tex]

Where A = Accrued amount
P = Principal amount
r = rate in decimal
t = number of years
n = compounding periods per unit of time
Your given:
P = $2050
r = 4% or 0.04
t = 3 years
n = 1 per yr
Now we insert that into your formula:
[tex]A = P ( 1 + \frac{r}{n}) ^{nt} [/tex]
[tex]A = 2050 ( 1 + \frac{0.04}{1}) ^{1.3} [/tex]
[tex]A = 2050 ( 1 + 0.04) ^{3} [/tex]
[tex]A = 2050 ( 1.04) ^{3} [/tex]
[tex]A = 2050 (1.124864 ) [/tex]
[tex]A = $2305.97 [/tex]

Now to get the interest just remember that:
I = A - P
I = $2,305.97 - $2,050
I = $255.97
So that is equal to 255 dollars and 97 cents

$255.97 is the correct answer

True or false the following list of numbers is in ascending order 0.12, 0.106, 0.1, 0.07, 0.009

Answers

If it starts with 0.12 it is false.
But if it starts with 0.009 it is true.

No, The numbers are not in Ascending order.

What is Ascending order?

The numbers arrange in order to least to greatest number is called Ascending order.

Given that;

The number are arrange as,

⇒ 0.12, 0.106, 0.1, 0.07, 0.009

Now,

Since, The number are arrange as,

⇒ 0.12, 0.106, 0.1, 0.07, 0.009

Hence, We can say that,

⇒ 0.12 > 0.106 > 0.1 > 0.07 > 0.009

Clearly, The numbers are arrange form greatest to lowest numbers.

Hence, The number is arrange in Descending order.

Thus, The numbers are not in Ascending order.

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Combine any like terms in the expression. If there are no like terms, rewrite the expression. 4s^2 + t^3 + 3s^2 – 7s^2

Answers

[tex] 4s^2 + t^3 + 3s^2 - 7s^2[/tex]
=[tex] t^3 [/tex]

PLEASE HELP I NEED ANSWER FAST

Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00.

Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get $4.60 + $4.60 = $9.20 for the 15% gratuity.”

How should Antoine respond to Tess’s method?

A) “Tess, the best way to find 15% of $46.00 is to multiply mc013-1.jpg by $46.00 to get $3.07, which is the 15% gratuity.”

B) “Tess, you found 20% of the number because you added 10% and 10%. You need to add 10% to mc013-2.jpg of 10%. Add $4.60 and $2.30 to get $6.90, which is the 15% gratuity.”

C) “Tess, the best way to find 15% of $46.00 is to multiply 0.015 and 46.00 to get $0.69, which is the 15% gratuity.”

D) “Tess, you should use a table with 5% segments to find the gratuity. Each 5% segment has a value of $9.20, so that is the 15% gratuity.”

Answers

the answer should be B

What is mc013-2.jpg? could you link to the image so we could make sure we know the answer

Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute. 5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5 Which statements are true about a histogram with one-minute increments representing the data? Check all that apply. A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes. The histogram will have a shape that is left-skewed. The histogram will show that the mean time is greater than the median time of 7.4 minutes. The shape of the histogram can be approximated with a normal curve. The histogram will show that most of the data is centered between 6 minutes and 9 minutes. ITS A, D, E, I JUST TOOK THE QUIZ!!!

Answers

The histogram is especially useful in comparing mean and median values of a variable. We have that 5.5+6+7+10+7.5+8+9.5+9+8.5+8+7+7.5+6+6.5+5.5=111.5 Since there are 15 values, their mean is 111.5/15=7.43 which is very close to the mean. We also have that 7 onservations are lower than 7.4 while 8 are bigger than 7.4; hence, the diagram is rather balanced and not left-skewed. We cannot tell immediately which one is larger since the values are too close. Any such random process can usually be approximated to a greater or smaller degree by a normal curve; the more points, the better. The histogram shows this (it is kind of a discrete normal curve); all points except 4 will be in this interval of bars.

Which net matches the solid figure shown below?

A rectangular prism with width labeled 3 centimeters, height labeled 8 centimeters, and length labeled 7 centimeters.

A net is shown with 3 rectangles attached side by side all with width 3 centimeters. The length of the first and third rectangle is 8 centimeters and the middle is 7 centimeters. Underneath the middle rectangle are 3 more rectangles with the same length but widths of 8 centimeters, 3 centimeters, and 8 centimeters.
A net is shown with 3 rectangles attached side by side all with width 3 centimeters. The length of the first and third rectangle is 8 centimeters and the middle is 7 centimeters. Attached to the middle rectangle underneath are 3 more rectangles with widths of 3 centimeters, 8 centimeters, and 8 centimeters.
A net is shown with 3 rectangles attached side by side all with width 8 centimeters and length of 7 centimeters. Attached to the middle rectangle above is a rectangle with same length and a width of 3 centimeters. Attached to the rectangle underneath are 2 more rectangles with the same length and widths of 8 centimeters and 3 centimeters.
A net is shown with 3 rectangles attached side by side all with width 3 centimeters and length 7 centimeters. Attached to the middle rectangle above is a rectangle with the same length and width of 8 centimeters. Attached underneath the middle are 2 more rectangles with the same length and widths of 8 centimeters and 3 centimeters.

Answers

Answer: The third choice.

A net is a flat version of a three dimensional shape. Imagine that you have a tissue box. If you cut along the edges and laid out the pieces, you would have the net of the shape. The third choice gives the correct net that would fold back up to a rectangular solid with the given dimensions.

Final answer:

The correct net for a rectangular prism with width 3 cm, height 8 cm, and length 7 cm would consist of three rectangles side by side with a width of 3 cm, where the first and third rectangles have a length of 8 cm and the middle one 7 cm, and three additional rectangles underneath the middle one with widths of 8 cm, 3 cm, and 8 cm respectively.

Explanation:

We are trying to match a net with a solid figure, specifically a rectangular prism with dimensions of width 3 cm, height 8 cm, and length 7 cm. To find the correct net, we need to consider the faces of the rectangular prism and how they would lay out flat.

The correct net for this prism would need three rectangles side by side for the sides with a width of 3 cm. The lengths of these side rectangles should be equal to the height of the prism, which is 8 cm. The middle rectangle represents the base or the top of the prism and should have a length equal to the length of the prism, which is 7 cm. Moreover, attached to this middle rectangle, there should be three flaps representing the remaining faces of the prism; two with widths equal to the height (8 cm) and one width equal to the width of the prism (3 cm).

The only net description that matches our rectangular prism dimensions is: "A net is shown with 3 rectangles attached side by side all with width 3 centimeters. The length of the first and third rectangle is 8 centimeters and the middle is 7 centimeters. Underneath the middle rectangle are 3 more rectangles with the same length but widths of 8 centimeters, 3 centimeters, and 8 centimeters."

14x-5(-2x+3)

Distributive and combine

Answers

Multiply parenthesis by -5

14x+10x-15 ( Collect the like terms)

The answer will be:
24x-15

The data below shows the average of text messages a group of students sends per day. Which histogram could represent the data?

Answers

The answer should be B

To make an ice-cream cone, employees at an ice-cream shop completely fill the cone and then add one scoop of ice cream on top. The cone has a height of 6 inches and a diameter of 2 inches. To the nearest cubic inch, how much ice cream is in the cone before the scoop is added on the top?
A 6 in³
B 19 in³
C 25 in³
D 75 in³

Answers

It is B I believe have a nice day

Answer:Its probably A

Step-by-step explanation:

I need help on Q #6-10 show all work please

Answers

6.
x = x/a + b
x - b = x/a
ax - ab = x
ax - x = ab
x(a - 1) = ab
x = ab/(a - 1)

7. x/3 + x/a = 1
x + 3x/a = 3
ax + 3x = 3a
x(a + 3) = 3a
x = 3a/(a + 3)

8. x/a + bx = c/a
x(1/a + b) = c/a
x = c/a(1/a + b)
x = c/(ab + 1)

9. x/a - 2x = c
x(1/a - 2) = c
x = c/(1/a - 2)
x = ac/(1 - 2a)

10. x/a = b + 3x
x/a - 3x = b
x(1/a - 3) = b
x = b/(1/a - 3)
x = ab/(1 - 3a)

What is the value of 12-6*3?

Answers

the answer would be 18 you subtract 6 and get six then times three

this is -6
I hope this helps

The sum of r and t is equal to 42. Let r = 25. What is the value of t?

Answers

r + t = 42
r = 25

Plug in 25 for r

(25) + t = 42

Isolate the t by subtracting 25 from both sides

t + 25 (-25) = 42 (-25)
t = 42 -25
t = 17

Hope this helps

Since r = 25, t must equal a number that, when added to 25, equals 42.

42 - 25 = 17. t must equal 17.

17 + 25 = 42.

what is the intersection points of f(x)=2x+7 and g(x)=x^2-1

Answers

intersecting means f(x)=g(x)
2x+7=x²-1
x²-2x-8=0
(x-4)(x+2)=0
x=4, or x=-2
when x=4, f(x)=g(x)=15
when x=-2, f(x)=g(x)=3
so the intersecting points are (4, 15) and (-2, 3)

If mJK=(7x-39) and mML)=87, find x

Answers

If two chords of a circle are congruent, then their intercepted arcs are congruent
7x-39 = 87
7x = 87 + 39
7x = 126
x = 126/7
x = 18

The value of X calculeted in the circle is equal to 18.

What is the 2 parallel lines?

Parallel lines are basically two straight lines that do not have a point in common. In other words, they are two lines that do not meet, but that necessarily have the same direction.

If two chords of a circle are paralles, then their intercepted arcs are congruent:

[tex]7x-39 = 87\\7x = 87 + 39\\7x = 126\\x = 126/7\\x = 18[/tex]

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Will give brainliest please help asap

Answers

Translation, rotation, reflection do not affect congruence. Dilation destroys congruence.

C
NC
C

PLEASE HELP ME IM IN A BIG HURRY

The price of a pair of headphones is $49.99 before tax. Ron bought the headphones for a 50% discount. He then paid sales tax of 8% on the discounted price.

Part A: How much did Ron pay in sales tax? Show all work and steps in your solution.
Part B: What is the total amount that Ron paid for the headphones? Show all work and steps in your solution.

Answers

Part A:
Price before tax: $49.99
Discount: 50% of $49.99 = 50% * $49.99 = 0.50 * $49.99 = $25.00
Discounted price: $49.99 - $25.00 = $24.99
Tax on discounted price: 8% of $24.99 = 8% * $24.99 = 0.08 * $24.99 = $2.00

Part B:
Total price: $24.99 + $2.00 = $26.99

If the circumference of a circle measures 3/2 π cm, what is the area of the circle in terms of π?

Answers

Final answer:

The area of the circle with a circumference of 3/2 π cm is 9/16 π cm².

Explanation:

The question is asking about finding the area of a circle when the circumference is given. The formula to find the circumference of a circle is C = 2πr, where C is the circumference and r is the radius of the circle. Given that the circumference is 3/2 π cm, we can use this information to find the radius.

From the circumference equation, r = C/2π = (3/2π)/ 2π = 3/4 cm. Having the radius, we can then use the formula for the area of a circle, which is A = πr². As a result, the area of the given circle is π(3/4)² cm² which simplifies to 9/16 π cm².

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find the slope of the line that passes through each set of points

Answers

You didn't provide any points, but you'd need only two per line.

If the points are (a,b) and (c,d), the slope would be (d-b)/(c-a).

Slope really means "how much does the y change when the x advances by 1?"

In above two points, the y-difference is d-b. However, the x-difference is not 1, but it is c-a. If we divide by c-a, we get the y difference as if x advanced by 1.

D(4,5) E(-3,-9)

Let (4,5) = (x₁ , y₁) and (-3,-9) = (x₂ , y₂)
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (-9 -5) / (-3 -4)
Slope = 14/7
Slope = 2

OR
Let (4,5) = (x₂ , y₂) and (-3,-9) = (x₁ , y₁)
slope = (5 - (-9)) / (4 - (-3))
slope = 14/7
slope = 2

What is the value of h when the function is converted to vertex form?

Answers

y = x^2-14x+29
a = 1, b=14, c =29

h = b/2a
h = 14 / 2*1 = 14/2 = 7
h = 7

Add the two expressions.

−6.3x+4 and 1.5x−6

Enter your answer, in simplified form, in the box.

Answers

-4.8x + -2 (don't combine those because aren't like terms)

Is your answer correct

The graph of a system of two linear equations has no solution . What is true about the lines

Answers

They are parallel lines.

They are parallel. This means that they will never intersect and they have the same slopes.

Dennis can load the car in 28 min. If Andy helps him it takes 21 min to load the car how long will it take Andy alone?

Answers

let the load car = y , and Andy will take time x (min.) to load the car
So,
    The rate of Andy to load the car = y/x

And we given that: Dennis load the car in 28 min.
So,
    The rate of Dennis to load the car = y/28

If both are loading the car in time = t = 21 min
then:
         y = (y/x) t + (y/28) t     ⇒ divide all equation by y and substitute with t
∴      1 = (21/x) + (21/28)     ⇒ multiply all equation by 28x
        28x = 21*28 + 21x
        28x - 21 x = 588
        7x = 588
∴      x = 84 min.

Which mean Andy will take 84 min. to load the car alone.

The cost of 7 drinks is $16.38. What is the cost of each drink?

$1.54
$1.88
$2.34
$2.73

Answers

the answer to thus question is $2.34

The cost of each drink if 7 drinks cost $16.38 is $2.34.

What is Division?

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that the cost of 7 drinks is $16.38. Therefore, the cost of each of the drink will be:

Cost of each drink = Cost of all the drinks / Number of drinks

= $16.38 / 7

= $2.34

Hence, the cost of each drink is $2.34.

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A 100 N horizontal force is applied to a 5.0 kg box causing the box to move at a constant speed of 3.0 m/s. What is the value of the friction force on the box?

Answers

The friction force must be acting to oppose the 100 N applied force, so it should be -100 N.
The reason for this is that the box is moving at a constant speed, with no acceleration. For there to be no acceleration, there must also be zero net force.

Each shape is 1 whole. What fraction is represented by the shaded part of the model?

Answers

where is the fraction and model?

What is the area of the figure?
Please explain how you got your answer!
(the missing length is 25)

Answers

232.5 (Triangle)
+320. (Rectangle)
=------------
342.5 (area)

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Dr. martin, a qualitative researcher, had one of his colleagues carefully read a draft of his research report to point out any inconsistencies or contradictions. dr. martin is examining the __________ of his research. The presence of gill slits in the early stages of the development of an embryo indicates its future as a fish.true or false? (you may need to research quickly what gill slits are.) find the value of the combination You suddenly find your tongue twisted and your speech stammering as you seek to explain to your six year old daughter why she can't go to the public amusement park that has just been advertised on television, and see tears welling up in her eyes when she is told that Funtown is closed to colored children.What is the authors purpose for including this sentence? The writings of erasmus and more, like the protestant reformation itself, reflect a deep concern with Which sentence describes the power to tax given to the U.S. Congress by the Articles of Confederation? A)Congress could pass a tax with Presidential approval. B) 3 4 of Congress had to agree on passing a tax. C)All of Congress had to agree on passing a tax. D)Congress could not tax. HURRY PLEASE! On a winters day, 9 degrees Fahrenheit is the highest temperature recorded. Write an inequality that represents the temperature t in degrees Fahrenheit at any time on this day. The title of a Web page is the text that appears on the title bar and taskbar of the browser window. *True or FalseHeadings are a smaller font size than normal text and are often bold or italic. *True or FalseThe and tags indicate the start and end of an HTML document. *True or FalseHTML files must end with an extension of .html or .htm. *True or FalseCSS supports three types of style sheets: inline, embedded, and external. *True or FalseYou would use an outline style sheet to change the style of multiple pages in a Web site. *True or FalseGIF stands for Graphics Image Format. *True or FalseAttributes define additional characteristics for an HTML tag. *True or FalseThe Markup Validation Service report lists what is wrong with your code. *True or FalseA soft copy of a document is the same as a printout. *True or False Explain how natural selection is important to biomes an organisms. when 80% of a number is added to the number, the result is 252. what is the number What impact did the rise of Christianity have on the intellectual life of Europe, both eastern and western, through the seventh century C.E.? Write the polynomial in standard form. Then identify the polynomial by the number of terms. -5x^2-2x^3-4x A-4x-2x^3-4x; binomialB.-4x-5x^2-2x^3; trinomialC.-2x^3-5x^2-4x; trinomialD.-2x^3-4x-5x; binomial What amino acid does the codon GAC code for ? Two small engine technicians are disassembling the engine shown in Figure A-9. After observing the engine components, both technicians say that this engine has a splash-type lubrication system. Technician A says that the engine uses a dipper that's attached to the connecting rod to splash oil from the crankcase onto its components. Technician B says that engine uses a slinger that's driven by the timing gears to splash oil onto its components. Which of the following statements is correct? The sling you apply to an injured friend's arm should be Read the following excerpts from a story about Norse mythology: Loki then disguised himself in servant garb so that he might administer the sleeping potion. The thunder god Thor relied on strength and daring, while his brother Loki trusted his cunning instead. Thor was doomed to lose the race from the beginning, for, you see, Loki had devised a shortcut for himself. Which of the following inferences do these clues support? A. Lokis envy of his brothers strength was all-consuming. B. Loki was unconcerned about breaking the rules of decent society. C. Those who rely on their cunning defeat those who depend on strength. D. The competitive nature of Thor and Lokis relationship had its origin in their childhood. \ I am a closed shape made of 6 line segments. I have two angles less than right angle & no right angles. What shape am I? How many countries border Russia? a. 12 b. 14 c. 16 d. 18 Explain the themes of the poem. (Harlem Wine) Write a letter to the editor of a local newspaper highlighting your concern on the lack of charity seen in young people today.