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.
How to find length of major arc
Answer:
Arc= 1/4 of a cricle
Step-by-step explanation:
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?
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...
PLEASE ANSWER THISSSSSSSSSSSSS
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...
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
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.
SARAH makes $43,000 per year, is single, and lives in Connecticut. She has $19,000 in subsidized loans and $8000 in unsubsidized loans.
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
F (x) = -2x + 7 kdmdmdmndmdmxmxdmmxmxmxmxmxmxmxmxmxmx
The radius of a sphere measures 2 units. What is its surface area? S = 4πr2 S = 4π(2)2 Surface area=
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
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
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
Write an equation to the model above
BEST ANSWER GET BRANLIEST
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
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.
Answer:
8
Step-by-step explanation:
7
hi! please help. thank you!
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
Find the range of this data set:225, 342, 288,552, 263.
Answer:
327
Step-by-step explanation:
552-225
Giving brainlist to whoever 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
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%.
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
Answer:
pi*36*10 = 1131 cubic feet
Step-by-step explanation:
MARK AS BRAINLEST!!
Step-by-step explanation:
pi*36*10= 1131 cubic feet
What is the volume of a giant cube that measures 10,000 km on each side
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).
help im confused reading this problem makes me dizzy
Answer: G
Step-by-step explanation:
because I would be 15 and not 20
How do I solve this problem?
Step-by-step explanation:
6 is the difference between the numbers
Use this Formula to solve your every arithmetic problem..
hope it helps
Find the length of the rectangle.
A. 10 in.
B. 20 in.
C. 27 in.
D 70 in.
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!
1. What is the absolute value of -45?
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
G'day m8!
help please wil give brainely
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!!!!!
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:
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?
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]
36x+27y in factored form
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)
Hi, thank you for helping people, have a good day/evening/night.
Answer:
thx you too
Step-by-step explanation:
Volume (look at the picture) no links plz
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.
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 :))
27 miles per gallon 432 miles takes how many gallons
Answer:
16
Step-by-step explanation:
432/27=16
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
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:
A triangle has angle measurements of 53°, 37°, and 90°. What kind of triangle is it?