Pascha is factoring the polynomial, which has four terms.
3x^3 – 15x^2 + 8x - 40
3x^2(x - 5) + 8(x - 5)
Which is the completely factored form of her polynomial?
O (3x^2 – 5) (X + 8)
O (3x^2 – 8) (x + 5)
O (3x^2 + 8) (x - 5)
O (3x^2 + 5) (x – 8)
Answer:
its (3x²+8)(x-5)
Step-by-step explanation:
3x² * x = 3x³.
3x² * -5 = -15x².
8 * x = 8x.
8 * -5 = -40.
The completely factored form of her polynomial is (3x² + 8)(x - 5).
What is the factoring of a polynomial?"Factorization of polynomials expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain."
Given polynomial is:
3x³ – 15x² + 8x - 40
= 3x²(x - 5) + 8(x - 5)
= (3x² + 8)(x - 5)
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A local hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday. There were 59 fewer cheeseburgers sold than hamburgers
On tuesday how much did they sell
Answer:
On Tuesday
591 burgers are sold.
Some are hamburgers and some are cheeseburgers.
59 fewer cheeseburgers sold than hamburgers.
Number of cheeseburgers --> x
Number of hamburgers --> y
x+y= 591 --> x = 591-y
x = y-59
so
591-y = y-59
-2y = -650
y = 325
so
x = 325-59
x =266
The hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday.
Let's represent the number of hamburgers sold as "H" and the number of cheeseburgers sold as "C." From the information given, we have two equations:
1. H + C = 591 (The combined total of hamburgers and cheeseburgers sold on Tuesday was 591).
2. C = H - 59 (There were 59 fewer cheeseburgers sold than hamburgers).
Now, we can use substitution to solve for the number of hamburgers: Substitute the value of C from the second equation into the first equation:
H + (H - 59) = 591
Now, combine like terms:
2H - 59 = 591
Next, isolate the term with H:
2H = 591 + 59
2H = 650
Now, solve for H:
H = 650 / 2
H = 325
So, they sold 325 hamburgers on Tuesday. To find the number of cheeseburgers sold, use the second equation:
C = H - 59
C = 325 - 59
C = 266
They sold 266 cheeseburgers on Tuesday. To find the total sales, add the number of hamburgers and cheeseburgers: Total sales = 325 (hamburgers) + 266 (cheeseburgers) = 591.
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Simplify the expression:
- square root of 96
Answer:
Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.
Step-by-step explanation:
PLEASE HELP ME 16 POINTS PLEASE HELP
Answer:
3/1
Step-by-step explanation:
Answer:
nmhii
Step-by-step explanation:
Oliver removed 56 marbles from his marble box and put them into 8 equal groups. How many marbles were in each group ? Please give the answer with statement, calculation and answer just like a word problem.
Answer:
Oliver had 56 marbles and he divided them equally in 8 groups. The number of marbles in each group = 56 marbles ÷ 8 groups = 7 marbles per group.
Step-by-step explanation:
In order to determine the number of marbles in each group you just have to divide the total number of units by the number of groups. In this case, the result is a whole number.
(3/4)^3/1/128 Compute this and help soon I really don't know what else O should write. Oh and the answered has to be in fraction form and I would think that that is about it.
Answer:
The answer is 54
Step-by-step explanation:
Let us evaluate the exponent first
(3/4)^3 = 27/64
so we have
27/64 divided by 1/128
= 27/64 * 128/1 = 27 * 128/64
= 27 * 2 = 54
What is the largest number of three consecutive integers whose sum is 42? O A. 13 B. 17 O C. 15 D. 12
Answer: 13
Step-by-step explanation:
3X + 3 - 3 = 42 - 3
3X = 39
3X/3 = 39/3
X = 13
Which means that the first number is 13, the second number is 13 + 1 and the third number is 13 + 2. Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.
13 + 14 + 15 = 42
We know our answer is correct because 13 + 14 + 15 equals 42 as displayed above.
EZ POINTSS!! I WILL GIVE BRAINLIEST!! All you have to do is compete with the other person about what my favorite color is. The winner will receive Brainliest. ..just giving back because I know some people don't have points.
Answer: red
Step-by-step explanation: that’s mine
Answer:
Pink
Step-by-step explanation:
2 1/2 + (-1/3)
plz, help me with this question I will mark the brainiest.
Answer:
2 1/2 + (-1/3) = 2 1/6
Step-by-step explanation:
Adding a negative number is the same as subtracting the opposite of it, so you get:
2 1/2 - 1/3
Then you need to convert them to the same denominator by using GCM (Greatest Common Multiple), getting:
2 3/6 - 2/6
Then, you subtract 2/6 from 3/6, getting:
2 1/6
Answer:
ur answer is 3
Step-by-step explanation:
because when ya think about it 1/2 and 1/3 are the same thing just 3 is teenie smaller
Which pair of radicals is a pair of like radicals
For f(x)=x+1 and g(x)=3x+5, find (f+g)(2)
Answer:
8x + 12
Step-by-step explanation:
Name the property of operations illustrated by each statement.
a. 11.1+0=11.1
b. 6(2.7+4)=6(4+2.7)
1 2 1 22 c. 3 1 = 3311
( ⋅ )⋅ ⋅(( ⋅ ))
2
3 2 33
d. 18+(−18)=0
Answer:
The answer is B
Step-by-step explanation:
All they did was switch the numbers and if you use distribution it will be equal.
PLEASE SOLVE, IN A HURRY
the answer is 55
will name BRAINLIEST!!!
Answer:
34,48
Step-by-step explanation:
If Charlie had 28 grapes and Tristan has 23 grapes how many grapes do they have in total
Answer:
51
Step-by-step explanation:
28 + 23 = 51
Answer:
51 grapes
Step-by-step explanation:
To figure this out, we need to add both amounts of grapes together. We need to add 28 and 23.
1
28 Add 8+3, which is 11. So, add a one in the tens place.
+ 23 2+2+1=5, so put that in the tens place.
51
Hope this helps!! Have a nice day ^^
cc is guaranteed the larger of $500 per week or 7% of sales. last week she 4
sold $6785. How much was her check for?
Step-by-step explanation:
6785*7%=474.95
Hope this helps
A rope is 1012 meters long. A piece of rope 458 long is cut off from the total length of the rope. What is the remaining length?
Answer:
554
Step-by-step explanation:
1012-458= 554
nothing left to explain
what is the solution of
_/x+12=x ?
Answer:
x = -3 or x = 4
Please help me I will really appreciate it!!!
What are the excluded values of x for
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The excluded values are x = - 2, x = 9
What is the absolute value of 2.8?
Answer:
2.8
Step-by-step explanation:
It is the same
Item 6 Graph △JKL and its image after a reflection in the y-axis. J(5, 3), K(1,−2), L(−3, 4)
Answer:
J(-5,3) K(-1,-2) L(3,4)
Step-by-step explanation:
Reflections over the y axis make the x its opposite. 5 would change to -5, 1 would change to -1, and -3 would change to 3.
When a shape is reflected, it must be reflected across a line.
See attachment for the graph of the image of JKL
The coordinates are given as:
[tex]\mathbf{J = (5,3)}[/tex]
[tex]\mathbf{K = (1,-2)}[/tex]
[tex]\mathbf{L = (-3,4)}[/tex]
The rule of reflection across the y-axis is:
[tex]\mathbf{(x,y) \to (-x,y)}[/tex]
So, the image of the reflection is:
[tex]\mathbf{J'= (-5,3)}[/tex]
[tex]\mathbf{K'= (-1,-2)}[/tex]
[tex]\mathbf{L'= (3,4)}[/tex]
See attachment for the graph of the image of jKL
Read more about reflections at:
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Please help! Need it ASAP!!!
HURRY I NEED HELP SOON
One week, Gabriela and Luis earned the same amount of money. Gabriela earned $7.50 per hour babysitting and an additional $10 cleaning her neighbor's garage. Luis earned $6.25 per hour doing yardwork. During the same week, Luis did yardwork for 3 hours more than Gabriela babysat. Let h represent the number of hours Gabriela babysat. Which equation correctly represents this situation?
a. 7.5h+10=6.25(h+3)
b. 7.5(h+3)=6.25+10
c. 7.5(h+3)+10=6.25h
d. 7.5h=6.25(h−3)+10
e. 7.5h+10=6.25(h−3)
Answer:
7.5h+10=6.25(h+3)
Step-by-step explanation:
...........................................................
20 POINTS An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost of the electrician's services can be determined using the equation C=65+60t, where t is the number of hours the electrician spends at the house working. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
[tex]the \: slope \: is \to \boxed{60}[/tex]
Step-by-step explanation:
[tex]if \to C=65+60t \\ C=60t + 65 \\ but \: the \: \boxed{ c - intercept} \: is \: in \: the \: form \to \\ c = mt + b \\ hence \to \\ 60t = mt \\ m = \frac{60t}{t} \\ m = 60 \\ the \: slope \: is \to \boxed{60}[/tex]
We want to analyze the given linear equation, we will find that the slope is 60, and it means that he charges 60 per hour.
Linear equations:
A general linear equation is written as:
y = a*x +b
Where a is the slope and b is the y-intercept.
In this case, we have the equation:
c(t) = 60*t + 65
Is easy to identify that the slope is equal to 60.
Given that we know that he charges per hour, and that t represents the number of hours that the electrician worked, we can assume that the slope represents how much the electrician charges per hour.
If you want to learn more about linear equations, you can read:
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diving simply the following: 3 power 12÷3 power 7
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[tex] {3}^{12} \div {3}^{7} = [/tex]
[tex] {3}^{12} \times {3}^{ - 7} = [/tex]
[tex] {3}^{12 - 7} = {3}^{5} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
I think the answer is 243.
Step-by-step explanation:
hope that helps
Will mark brainlist! Andrea spent $2 to make 10 prints from a photo both. Later, she spent $6 to make 30 prints. Did she get a better deal the first or second time she purchased prints. How do you know?
Answer:
She got an equally good deal both times
Step-by-step explanation:
[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]
[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]
they are the same
Super easy question just don’t know it
Answer:
Integer
Step-by-step explanation:
15 points!!! Additive inverse is when two numbers have a sum of:
Y+5= -3/4x Whats the slope?
Answer:
m = -3/4
Step-by-step explanation:
Slope = M
-4-8 and 3-(-1)
thats it
Answer:
-4-8=-12. 3-(-1)=3
Together they equal -9
Step-by-step explanation:
You have to multiply by the - sign outside the parentheses and the first one just count backwards
Answer:
-12 and -2
Step-by-step explanation: