Why would the polynomial, "[tex]x^2+5x-24[/tex]" factor out to (x-3)(x+8)?

Answers

Answer 1

Step-by-step explanation:

5x can also be written as " -3x + 8x " so:

[tex]x^2+5x-24 = x^2-3x+8x-24[/tex]

Using the distributive property:

[tex]x(x-3)+8(x-3)[/tex]

Then again, using the distributive property (but in reverse):

[tex](x-3)(x+8)[/tex]

The two numbers that the middle term should be split into in order to factor can be found by listing out pairs of factors for the product of the last term and the coefficient of the first term, and using the two factors whose sum is the middle term.

For eg (because that was a bit text heavy):

The product of the last term and the first coefficient (1 * (-24)) is -24

the factors of -24 include (and their sum)

-1, 24 (23)

1, -24 (-23)

-2, 12 (10)

2, -12 (-10)

-3, 8 (5)

3, -8 (-5)

-4, 6 (2)

4, -6 (-2)

The middle coefficient is 5 and the sum of the factors -3 and 8 are 5, so split 5x into -3x + 8x to be able to factor how I showed before.


Related Questions

How do I solve this problem?

Answers

Step-by-step explanation:

6 is the difference between the numbers

Use this Formula to solve your every arithmetic problem..

hope it helps

help im confused reading this problem makes me dizzy

Answers

Answer: G

Step-by-step explanation:

because I would be 15 and not 20

hi! please help. thank you!

Answers

Answer:

Step 6 is done by Additive Property of Equality, also known as Compatibility of Equality with Addition, which is defined by the following expression:

[tex]a = b \to a + c = b + c[/tex], [tex]\forall\,a,b, c\,\in \,\mathbb{R}[/tex]

Step-by-step explanation:

Step 6 is done by Additive Property of Equality, also known as Compatibility of Equality with Addition, which is defined by the following expression:

[tex]a = b \to a + c = b + c[/tex], [tex]\forall\,a,b, c\,\in \,\mathbb{R}[/tex]

1) [tex](7\cdot x - 3) + 3 = (2\cdot x + 7) + 3[/tex] Associative property/Compatibility with addition

2) [tex]7\cdot x + [3 + (-3)] = 2\cdot x + (7 + 3)[/tex] Associative and commutative properties/Definition of subtraction

3) [tex]7\cdot x + 0 = 2\cdot x + 10[/tex] Existence of the additive inverse/Definition of addition

4) [tex]7\cdot x = 2\cdot x + 10[/tex] Modulative property/Result

Giving brainlist to whoever answers

Answers

Answer:

c

Step-by-step explanation:

Answer:

your answer is option number C 9mm

Calebs puppy weighs 2250 grams. If the puppy weighed 600 grams at his last visit to the vet, what is the percent increase in the puppies weight

Answers

Answer:

275%

Step-by-step explanation:

Given that,

Initial weight of the puppy = 600 grams

Final weight of the puppy = 2250 gram

We need to find the percent increase in the puppy's weight.

Increase in weight = 2250 gram - 600 grams

= 1650 grams

The percentage of increase in weight,

[tex]\%=\dfrac{1650}{600}\times 100\\\\=275\%[/tex]

So, the required increase in puppy's weight is equal to 275%.

help please wil give brainely

Answers

false :) The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Since, , you can not form a triangle with side lengths 4 ft, 9 ft, 15 ft.

1. What is the absolute value of -45?

Answers

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

G'day m8!

A triangle has angle measurements of 53°, 37°, and 90°. What kind of triangle is it?

Answers

Right angle because it has a 90° angle

What is the volume of a giant cube that measures 10,000 km on each side

Answers

Answer:

1,000,000,000,000

Step-by-step explanation:

The formula for finding the volume of a cube is x³. 10,000³ would be 1,000,000,000,000. (10,000 * 10,000 * 10,000).

Jose is baking cakes. He needs 3/4 of butter for each cake. One stick of butter is a 1/2 of a cup. How many sticks do he need to bake 8 cakes?

Answers

Answer: 6 sticks

Step-by-step explanation:

Given

Joe needs [tex]\frac{3}{4}[/tex] butter for each cake

One stick of butter is equivalent to 0.5 cup

So, joe need

[tex]\dfrac{3}{4}\times \dfrac{1}{2}=\dfrac{3}{8}\ \text{cup}[/tex]

for each cake

To bake 8 cakes, it is

[tex]\Rightarrow \dfrac{3}{4}\times 8=6\ \text{sticks}[/tex]

PLEASE ANSWER THISSSSSSSSSSSSS

Answers

Answer:

D. 19.5 Ft.

Step-by-step explanation:

Formula: B · H = A

Substitution: 3.25 · 2 = 6.5

6.5 · 3 ( 3 Windows ) = 19.5 Ft.

No le quites puntos gratis a las personas que necesitan ayuda, gracias, Me hiciste eso a mi y a algunas atras personas y no es muy amable...

17

SELENA

A store sells gas and containers. One customer buys 2 containers and 8 gallons of gas for $38.06. Another customer

buys 1 container and 3 gallons of gas for $15.76.

Enter the price ,in dollars, of 1 container

Answers

Answer:

$5.95

Step-by-step explanation:

Given :

Let containers = c ;Gallon of gas = g

2c + 8g = 38.06 - - - (1)

c + 3g = 15.76 - - - - (2)

From (2) :

c = 15.76 - 3g

2(15.76 - 3g) + 8g = 38.06

31.52 - 6g + 8g = 38.06

2g = 6.54

g = 6.54 / 2

g = 3.27

Recall :

c = 15.76 - 3g

c = 15.76 - 3(3.27)

c = 5.95

Jane wants to pick out an outfit for the school dance . She can choose from 3 pairs of pants 5 shirts and 2 pairs of shoes . How many different outfits dose Jane have to choose from?

Answers

Answer:

30

Step-by-step explanation:

we multiply each number. There are 3 pairs of pants 5 shirts and 2 pairs of shoes, so we multiply 3x5x2 to get 30

She should pick out this outfit...

Volume (look at the picture) no links plz

Answers

The answer is 108 it was calculated by using geometric solid trapezoid formula

Find the length of the rectangle.

A. 10 in.
B. 20 in.
C. 27 in.
D 70 in.

Answers

10 in

This is a answer

Answer:

length = 10 inches

Step-by-step explanation:

We know that the perimeter of a rectangle:

P = 2(L + W), where p= perimeter, L = length, W= width, so:

34 = 2(L + 7)

=> 34 = 2L + 14

=> 20 = 2L

=> 20/2 = L

=> 10 = L

Hope this helps!

David drew this diagram of a picture he is going to make. Each square represents one square inch. What is the area of the picture frame? The picture frame represent blue squares.

Answers

Answer:

8

Step-by-step explanation:

7

27 miles per gallon 432 miles takes how many gallons

Answers

Answer:

16

Step-by-step explanation:

432/27=16

36x+27y in factored form

Answers

Answer:

9(4x+3y)

Step-by-step explanation:

Answer:

9 (4x+3y)

Step-by-step explanation:

9(4x)+27y

9(4x)+9(3y)

9(4x+3y)

SARAH makes $43,000 per year, is single, and lives in Connecticut. She has $19,000 in subsidized loans and $8000 in unsubsidized loans.

Answers

Answer:

The standard repayment plan.

Step-by-step explanation:

Here is the complete question :

SARAH makes $43,000 per year, is single, and lives in Connecticut. She has $19,000 in subsidized loans and $8000 in unsubsidized loans. Which repayment plan will be the cheapest for her in total?

The standard repayment plan is a repayment plan where a fixed sum is paid monthly for 10 years. This makes a total of 120 payments. The advantage of the standard repayment plan over the federal repayment plan is that less interest is paid and payment is made over a shorter period

Because unsubsidized loans accrue a higher interest expense when compared to subsidized loans, Sarah should pay off her unsubsidized loan first. This would minimise interest payment

8
Hannah ordered books for her son from an online retailer. Each book costs $7.25 and there is a shipping fee of $6.75 for the entire order.
(a)
Part A
What is the cost of Hannah's order if she buys 9 books?
$
Part B
Write a sentence to describe how you calculate the cost of Hannah's order.

Answers

Answer:

Part A:

1 book -- $7.25

9 books -- (9 * 7.25) = $65.25

And shipping fee -- (65.25 + 6.75) = $ 72

Part B

9 multiplied by the cost and added with the shipping fee to get Hannah's total cost.

Thenks and mark me brainliest :))

Mark was using ribbon to make a picture frame. He started with 6 4/5 feet of ribbon. He used 4 2/5 feet of ribbon to make the picture frame. How much ribbon did mark have left?

2 2/5

3 1/5

10 2/5

11 1/5

Answers

Answer:

2 2/5

Step-by-step explanation:

6 4/5 - 4 2/5 = 2 2/5

Mark has 2 2/5 feet of ribbon left.

This is basic math.....but yeah so the answer is 2 2/5

Answer:

2 2/5

Step-by-step explanation:

Write an equation to the model above
BEST ANSWER GET BRANLIEST

Answers

Answer:

0 ≤ x ≤ 2 (i assumed that the arrows included 0 and 2).

Step-by-step explanation:

One arrow shows 0 and greater (as it is pointing right) and the other shows 2 and smaller (as it is pointing left). The arrow pointing right has the equation of:

x ≥ 0 (where x is a random number)

The arrow pointing left has the equation of:

x ≤ 2 (where x is a random number)

Assuming that you need to find an equation so that x fits both inequalities, we combine them into one inequality and get:

0 ≤ x ≤ 2

Hi, thank you for helping people, have a good day/evening/night.

Answers

Answer:

thx you too

Step-by-step explanation:

Thank you and you’re welcome

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.


y = -x^2 + 99x - 932

Answers

Answer:

$49.5

Step-by-step explanation:

y = -x^2 + 99x - 932

The maximum point is :

dy/dx = 0

Take the first derivative of y

dy/dx = - 2x + 99

Put - 2x + 99 = 0

-2x = - 99

x = 99 / 2

x = 49.5

Hence, To make maximum profit, widget should be sold at $49.5 per widget.

The radius of a sphere measures 2 units. What is its surface area? S = 4πr2 S = 4π(2)2 Surface area=

Answers

Answer:

16π or 50.3 units

Step-by-step explanation:

the formula for the surface area of a sphere (as you mentioned) is:

4πr²

So if we plug in the given value (2) for r:

4π×2²=16π

Answer:

16

Step-by-step explanation:

I got it right

The radius of a cylindrical water tank is 6.5 ft, and its height is 17 ft. What is the volume of the tank?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
6.5 ft
ft
17 ft
X

Answers

Answer:

pi*36*10 = 1131 cubic feet

Step-by-step explanation:

MARK AS BRAINLEST!!

Step-by-step explanation:

pi*36*10= 1131 cubic feet

F (x) = -2x + 7 kdmdmdmndmdmxmxdmmxmxmxmxmxmxmxmxmxmx

Answers

its -3.5 hope this helpss

How to find length of major arc

Answers

Answer:

Arc= 1/4 of a cricle

Step-by-step explanation:

Find the range of this data set:225, 342, 288,552, 263.


Answers

Answer:

327

Step-by-step explanation:

552-225

A group of friends wants to go to the amusement park. They have
$113.25 to spend on parking and admission. Parking is $12.75, and
tickets cost $16.75 per person, including tax. How many people can go
to the amusement park?
Answer:


PLS HELP!!!!!

Answers

Answer:

Step-by-step explanation: The answer is 6 friends. Assuming that the group is going in one car. Leaving them with 100.5 to spend on admission.You can add the admission fee 6 times until they have nothing left

Answer:

The annswer is 6

Step-by-step explanation:

Other Questions
what is 50/277 decimal to the nearest hundredth? What is the value of y-x?A. 20B. 30C. 45 Use multiplication to create an equivalent fraction for 2/5 Check each of the following statements that are true with regard to Griffiths experiments.a. ______ Griffith discovered transformation in bacteria.b. ______ Mice injected with smooth bacteria quickly became sick and died.c. ______ Encapsulated bacteria can become "naked" bacteria.d. ______ Bacteria that do not have capsules tend to be harmless.e. ______ Smooth bacteria develop a capsule only after exposure to the DNA of encapsulated (rough) bacteria.f. ______ Griffiths transforming factor was the protein in the capsule.g. ______ Transformation allows bacteria to acquire new genes.h. ______ Enzymes that destroyed DNA would prevent transformation. In the diagram, R1 = 40.0 ohm, R2 = 25.4 ohm, and R3 = 70.8 ohm. What is the equivalent resistance of the group? An unfinished desk is produced for $35.65 and sold for $64.20. A finished desk can be sold for $76.00. The additional processing cost to complete the finished desk is $6.15. Provide a differential analysis for further processing. Round your answers to two decimal places, if necessary. Differential revenue from further processing: Revenue per unfinished desk $___________ Revenue per finished desk _______________ Differential revenue $____________ Differential cost per desk: Additional cost for producing ___________ Differential from further processing __________ What is the importance of Chinese musical theater in Asian theatre art forms? The amount of energy for a coulomb of charge at one end of a conductor is 40 joules. The amount of energy for a coulomb of charge at the other end of the conductor is 20 joules. The potential difference across the ends of the conductor is ______. A.) 60 joules per coulomb B.) 60 joules C.) 20 joules per coulomb D.) 20 joules Ria works in a paint shop. She needs to make 1500ml of purple paint. Ria makes purple paint by mixing red paint and blue paint and white paint in the ratio 3 : 2 : 1 How much blue paint does Ria need to make 1500 ml of purple paint? Choose the type of hormone that is described below.increases sugar in the bloodspeeds up the heart beatingonly found in femalesnot released during stresshelps prepare your body for action by affecting the heartnarrows arteries to increase blood pressure Find the surface area of the ball shown. Use 3.14 for pie.Radius is 17cmThe ball has a surface area of about ? Cm^2 A straw is placed inside a rectangular box that is 2" x 6" x 8". If the straw fits exactly into the box diagonally from the bottom left corner into the top right back corner how long is the straw? 7a - 17 = 4a +1Step by step pls round 11.475 to the nearest percent plz Why might cell division occur?A. To provide energy for body functions.B. To make more cells, to grow, and to repair damaged tissue According to the text, which of the following is true Group of answer choices The need for formal social control has diminished in modern times The opportunities for white collar crime were greater in traditional societies Informal social control is less effective in traditional than in modern societies Many of the worst white collar crimes were committed by the powerful who did not have incentives to impose formal controls on their own predatory practices Jessie purchased land as an investment on January 12, 2015 for $80,000. On January 31, 2020, Jessie sold the land for $33,000 cash. In addition, the purchaser assumed the mortgage of $70,000 on the land. What is the amount of the realized gain or loss on the sale "And they were riding to their deaths. Why does this line of text createsuspense? the night gardener the help The length of a rectangular lot is 6 feet less than 3 times itswidth. Its area is 222 square feet.Its width isfeet and its length isfeet. A missile is fired such that its height above the ground is given by h=-9.8t^2+38.2t+6.5, where t represents the number of seconds since the rocket was fired. Using the quadratic formula, determine, to the nearest tenth of a second, when the rocket will hit the ground.Please I need help with this question