Answer:
= x^2 ( 2x^3- 3x^2 - 8x + 12)
Step-by-step explanation:
(x^3-4x) (2x^2-3x)
= x^3(2x^2-3x) -4x(2x^2-3x)
= 2x^5-3x^4-8x^3+12x^2
= x^2 ( 2x^3- 3x^2 - 8x + 12)
What is the vertex x^2+2x-3=0
Step-by-step explanation:
2 squared plus 2 =5
5+2x =7x
7x-3 = 4x
write an equation for the nth term of the arithmetic sequence -5 -4 -3 -2
u will get 15 points pls help
We need to set up and solve all of the angle measures add up to 180°
[tex]3x - 10 + 6x + 5 + 4x - 10 = 180\\\\7x - 15 = 180\\\\7x = 165\\\\x = 24[/tex]
15x+8=6x+2
Find X please I beg you I have to feed my kids
Answer: x= -2/3
Step 1: Subtract 6x from both sides.
15x+8−6x=6x+2−6x
9x+8=2
Step 2: Subtract 8 from both sides.
9x+8−8=2−8
9x=−6
Step 3: Divide both sides by 9.
9x
9
=
−6
9 x=
−2
3
6.59 The value of the underlined digit is
Answer: NO clue
Step-by-step explanation:
There is no underline ddigit
geometry help please explain answer
Answer:
Value of X?
Step-by-step explanation:
HELP ASAP! I give brainliest!!
Answer:
325000
Step-by-step explanation:
create a proportion: 13/3 = x/ 75000
cross multiply: 975000/3 = x
simplify: 325000
Answer:
325,000 female teachers or teachers that are women.
Step-by-step explanation:
1. set up an equation
[tex]\frac{x}{75,000} = \frac{13}{3}[/tex]
2. cross multiply
[tex]3x = 975000[/tex]
3. inverse operations/simplify
[tex]325000[/tex]
ASAP
Hermes has eight envelopes labeled "x" and an additional $218, and Apollo has five envelopes labeled "x" and an additional $521.Each envelope has the same amount of money in it.
a) Write a system of equations representing this situation
b) How much money must be in each envelope for them to have the same amount of money?
Answer:
a) [tex]\left \{ {{8x+218=y} \atop {5x+521=y}} \right.[/tex], b) $101
Step-by-step explanation:
Hermes: 8 envelopes, $218
Apollo: 5 envelopes, $521
If x is the amount in each envelope, H is the amount Hemes has and A is the amount Apollo has, this would be a possible system of equations.
[tex]\left \{ {{8x + 218 = H} \atop {5x +521 = A}} \right.[/tex]
If Apollo and Hermes both had the same amount of total money, A and H could equal y
[tex]\left \{ {{8x+218=y} \atop {5x+521=y}} \right.[/tex]
We want to find the amount in each envelope (x), so we can substitute y in the first equation for y in the second equation:
[tex]8x+218=5x+521[/tex]
Subtract [tex]5x[/tex] from both sides
[tex]3x+218=521[/tex]
Subtract 218 from both sides
[tex]3x=303[/tex]
Divide both sides by 3
[tex]x=101[/tex]
So there would have to be $101 in both envelopes for Apollo and Hermes to have the same amount of total money.
at an all-you-can-eat barbecue fundraiser that you are sponsoring, adults pay $6 for a dinner and children pay $4 for a dinner. 212 people attend and you raise $1128. what is the total number of adults and the total number of children attending?
Answer:
x
Step-by-step explanation:
Answer:
140 adults and 72 children
Step-by-step explanation:
-4a-4c=-848
6a+4c=1128
2a=280
a=140
A water tank is filled to its capacity. It has a leak at the bottom through which water leaks at a constant rate. If y represents the amount of water left in the tank, in gallons, after x hours, which of the following situations is represented by the table below? Time (hours) 4 8 12 16 Water (gallons) 1,190 1,180 1,170 1,160 A. The tank initially had 1,190 gallons of water, which is leaking at the rate of 5 gallons per hour. B. The tank initially had 1,200 gallons of water, which is leaking at the rate of 2.5 gallons per hour. C. The tank initially had 1,200 gallons of water, which is leaking at the rate of 5 gallons per hour. D. The tank initially had 1,190 gallons of water, which is leaking at the rate of 10 g
the answer Is b
2.5
The situation is represented by the table:
The tank initially had 1200 gallons of water.
The tank is leaking at the rate of 2.5 gallons per hour.
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the table, we see that,
After 4 hours there are 1190 gallons of water left.
After 8 hours there are 1180 gallons of water left.
Now,
The rate of change.
= (1180 - 1190)/ (8 - 4)
= -10/4
= -5/2
= -2.5
This means,
There is a decrease of 2.5 gallons per hour.
Now,
The amount of water the tank initially had.
= 1190 + 4 x 2.5
= 1190 + 10
= 1200
Thus,
The tank initially had 1200 gallons of water and it's leaking at the rate of 2.5 gallons per hour.
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Find the perimeter of the polygon with the vertices A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2).
The perimeter of ABCD is ___ units.
Could someone explain how I can figure this out?
Given:
The vertices of a polygon are A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2).
To find:
The perimeter of ABCD.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]AB=\sqrt{(4-(-1))^2+(1-1)^2}[/tex]
[tex]AB=\sqrt{(4+1)^2+(0)^2}[/tex]
[tex]AB=\sqrt{(5)^2}[/tex]
[tex]AB=5[/tex]
Similarly,
[tex]BC=\sqrt{(4-4)^2+(-2-1)^2}=3[/tex]
[tex]CD=\sqrt{(-1-4)^2+(-2-(-2))^2}=5[/tex]
[tex]AD=\sqrt{(-1-(-1))^2+(-2-1)^2}=3[/tex]
Now, perimeter of ABCD is
[tex]P=AB+BC+CD+AD[/tex]
[tex]P=5+3+5+3[/tex]
[tex]P=16[/tex]
Therefore, the perimeter of ABCD is 16 units.
The perimeter of polygon ABCD is 16 units
The coordinates are given as:
[tex]\mathbf{A = (-1,1)}[/tex]
[tex]\mathbf{B = (4,1)}[/tex]
[tex]\mathbf{C = (4,-2)}[/tex]
[tex]\mathbf{D = (-1,-2)}[/tex]
Start by calculating the distance between the coordinates using the following distance formula
[tex]\mathbf{d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]
So, we have:
[tex]\mathbf{AB = \sqrt{(-1 - 4)^2 + (1 - 1)^2} = 5}[/tex]
[tex]\mathbf{BC = \sqrt{(4 - 4)^2 + (-2 - 1)^2} = 3}[/tex]
[tex]\mathbf{CD = \sqrt{(4 - -1)^2 + (-2 - -2)^2} = 5}[/tex]
[tex]\mathbf{AD = \sqrt{( -1- -1)^2 + (-2 - 1)^2} = 3}[/tex]
The perimeter is then calculated as:
[tex]\mathbf{Perimeter = AB + BC + CD + AD}[/tex]
Substitute values for AB, BC, CD and DA
[tex]\mathbf{Perimeter = 5+ 3 + 5 + 3}[/tex]
[tex]\mathbf{Perimeter = 16}[/tex]
Hence, the perimeter of the polygon is 16 units
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Below are the functions of y = |x| and y= |x| - 9 how are the functions related?
sorry my brain is the size of a ant
2. Find the equation of the line with a slope of -2 and through the points (1,-17)
Answer:
y=−2x−15
Step-by-step explanation:
The table reflects the prices at Strike-O-Rama Bowling Alley.
Price
Monday - Thursday
$4.55 per game
Friday - Sunday
$4.95 per game
Shoe Rental
$4.25
Cynthia’s mom gave her $20.00 to spend at her friend’s birthday party on Friday night at the bowling alley. She has to rent shoes and pay a certain amount per game. What is the maximum number of games she can bowl?
Answer: the answer is 4.95
Step-by-step explanation:
What is the equation of a line with the slope 7 and y intercept of -4?
Answer:
y = 7x - 4
Step-by-step explanation:
point: (0, -4)
slope: 7
use point-slope form
y-(-4) = 7(x-0)
y+4 = 7x
y = 7x - 4
A round tablecloth has a diameter of 30 inches.
What is the area of the tablecloth? PLSS HELP
Answer:
706.858 inches^2
Step-by-step explanation:
Calculate radius = d/2 = 30/2 = 15in.
Calculate area = 3.142×radius^2
=3.142×(15)^2
=706.858 inches
Use the number line below, where RS = 5y + 2, ST = 3y + 6, and RT = 48
RS+ST= RT
(7Y+3)+(2Y+9)= 14Y-8
9Y+12=14Y-8
5Y=20
Y=4
pleaseeee helppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
134
Step-by-step explanation:
Angles in a triangle= 180 degrees
32+8=40
40+6=46
180-46=134
any more help just ask :)
i'm only in yr 8
Answer:
As expained in the rpevious answers that i gave you, the sides are proportional making MN/NF=MR/RQ
Therefore, 8/32=6/RQ
8/32=1/4
1/4=6/RQ
1x6=6, 4x6=24
24+6=30
MQ=30
Step-by-step explanation:
expand the liner expression 8(5x-2)
Answer:
40x-16
Step-by-step explanation:
Distribute the 8 to the 5x and -2
8*5x=40x
8*-2=-16
So the answer is 40x-16
Write the equation of the line that passes through the points (-1,-4) and (9,-5).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation in point-slope form is: [tex]y+4=\frac{-1}{10}(x+1)[/tex]
Step-by-step explanation:
Write the equation of the line that passes through the points (-1,-4) and (9,-5).
The point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
Where m is slope and x₁ and y₁ are the points given
Finding Slope
Slope can be found of given points using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=-1, y_1=-4, x_2=9, y_2=-5[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-5-(-4)}{9-(-1)}\\ Slope=\frac{-5+4}{9+1}\\ Slope=\frac{-1}{10}[/tex]
So, slope m = -1/10
Using point (-1,-4) and slope m = -1/10 the equation is:
[tex]y-y_1=m(x-x_1)\\y-(-4)=\frac{-1}{10}(x-(-1))\\y+4=\frac{-1}{10}(x+1)[/tex]
So, the equation in point-slope form is: [tex]y+4=\frac{-1}{10}(x+1)[/tex]
Omar is collecting toy cars. He starts his collection with 2 toy cars that his grandmother gave him. He plans to buy cars each week using his allowance. The table below shows the number of cars that Omar has and can be modeled by an arithmetic sequence. Write an equation to help Omar determine how many cars he would have each week.
Can you please add the table so i can answer it
Please help me with this problem!!
Answer:
cn<fr
Step-by-step explanation:
trust me bro
Answer: Cr<Fr
Step-by-step explanation:
if you look at the angle it gives you, you can tell which inequality is bigger.
Find the Sum (3x^2+ 4x-1) + (-2x^2 -3x+2)
The sum of the equation is A = x² + x + 1
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the sum of the equations be represented as A
Now , the value of A is
Let the first equation be P
The value of P = 3x² + 4x - 1
Let the second equation be Q
The value of Q = -2x² - 3x + 2
Now , the value of A = P + Q
Substituting the values in the equation , we get
A = ( 3x² + 4x - 1 ) + ( -2x² - 3x + 2 )
On simplifying the equation , we get
A = ( 3x² - 2x² ) + ( 4x - 3x ) + ( 2 - 1 )
A = x² + x + 1
Therefore , the value of A is x² + x + 1
Hence , the equation is A = x² + x + 1
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Subtract the mixed fractions 7 1/4 - 2 4/5=
Answer:
4 9/20
Step-by-step explanation:
Convert the mixed fractions to improper fractions first:
7 1/4--> 29/4, 2 4/5--> 14/5.
Now we look for the common denominator, which is 20. So 29/4=145/20 and 14/5=56/20.
We subtract them:
145/20-56/20=89/20.
Convert it to a mixed fraction to get 4 9/20.
The difference of the given mixed fractions is [tex]4\frac{9}{20}[/tex].
Given that, [tex]7\frac{1}{4} -2\frac{4}{5}[/tex].
What is subtraction of fractions?Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
Here, [tex]7\frac{1}{4}[/tex] can be written as 29/4 and [tex]2\frac{4}{5}[/tex] can be written as 14/5
Now, 29/4 - 14/5
= 145/20 - 56/20
= 89/20
= [tex]4\frac{9}{20}[/tex]
Therefore, the difference of the given mixed fractions is [tex]4\frac{9}{20}[/tex].
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WILL MAKE BRAINLEST PLS HELP PLEASEEEEE
Answer:
C.
Step-by-step explanation:
olivia (x) is seven more than sean and liam or whoever
Ashley solved the equation for m using the following steps.
-4.5 + m = 17
-4.5 -4.5
m = 12.5
What was Ashley’s error?
Ashley should have subtracted 17 to both sides.
Ashley should have added 4.5 to both sides.
Ashley should have added 17 to both sides.
Ashley’s work does not have an error.
Answer:
B is the answer.
Step-by-step explanation:
Hope this helps!!
Answer:
B
Step-by-step explanation:
Z2 and _______are alternate exterior angles.
A. <9
B. <10
C. <13
D. <14
Answer:
the anser is B. <10.
<2 and <10 are alternate exterior anglea
What is the percent of change from 7,000 to 700
Answer:
-900%
Step-by-step explanation:
went from 7000 to 700
700-7000 / 700 = -9 or -900%
Answer:
90% decreased
Step-by-step explanation:
You change it to percent and it will be easier to do it like that instead of whole numbers without percents.
What type of slope is shown?
Answer:
I think it is a positive slope. I might be wrong.
Which of the following statements is true? *
On a number line, -|55| an |-55| are the same point.
On a number line, -|55| is farther from 0 than |-55| is.
On a number line, -|55| an |-55| are the same distance from 0.