Answer:
2x^2+2x−12 or (2x+6)*(x-2)
Step-by-step explanation:
Area: (2x+6)*(x-2)
now, we simplify.
(2x+6)*(x-2)=(2x+6)(x+(−2))
=(2x)(x)+(2x)(−2)+(6)(x)+(6)(−2)
=2x^2−4x+6x−12
=2x^2+2x−12
A grading machine can grade 48 multiple choice tests in 1 minute. How long will it take the machine to grade
288 tests?
Answer:
6 minutes
Step-by-step explanation:
288/48 = 6
We can double check our answer multiplying 48 by 6, and we get 288.
help me with this please
I have absolutely no clue how to solve this PLEASE HELP.
I'm suppose to factor this... but how??
x(2y-x)^2 + 2x^2 (x-2y)
Answer:
[tex]=x(2y-x)(2y-3x)[/tex]
Step-by-step explanation:
We want to factor the following expression:
[tex]x(2y-x)^2+2x^2(x-2y)[/tex]
First, notice that both of the terms have an x. Thus, let's factor out the x first:
[tex]=x((2y-x)^2+2x(x-2y))[/tex]
Now, notice the similarity between (2y-x) and (x-2y). If we multiply either of them by a negative, they will be the same.
Therefore, we can factor out a negative from (x-2y). This will give us:
[tex]=x((2y-x)^2+2x(-(2y-x))[/tex]
Since multiplication is commutative:
[tex]=x((2y-x)^2-2x(2y-x))[/tex]
Now, we can factor out the (2y-x):
[tex]=x(2y-x)((2y-x)-2x)[/tex]
And we can simplify this to get:
[tex]=x(2y-x)(2y-3x)[/tex]
Alternate Method:
Starting from here:
[tex]x((2y-x)^2+2x(x-2y))[/tex]
We can factor out a negative from the (2y-x)² term. This yields:
[tex]=x((-1(x-2y))^2+2x(x-2y))[/tex]
Since -1 squared is positive, we can simplify:
[tex]=x((x-2y)^2+2x(x-2y))[/tex]
Now, we can factor out the (x-2y):
[tex]=x(x-2y)((x-2y)+2x)[/tex]
Simplifying gives:
[tex]=x(x-2y)(3x-2y)[/tex]
While this looks different, they are exactly the same. If we factor out a negative from both the second and third term, we get:
[tex]=x(-(2y-x))(-(2y-3x))[/tex]
The negatives will cancel, leaving us with:
[tex]=x(2y-x)(2y-3x)[/tex]
This is exactly the same as what we acquired previously.
Therefore, both answers are correct.
After 100 draws, Ana picked a pink shirt 20 times. Based on the probability, if she knows there are 5 shirts in the drawer, how many shirts would she expect to be pink?
Answer:
2
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
She picked a pink shirt 20 out of 100 times.
20/100 = 1/5
She picked a pink shirt 1/5 of the times.
There are 5 shirts.
1/5 * 5 = 1
Answer: 1
The directions on a lawn-mower manual call for a mixture of oil and gasoline that is 25% oil. The tank holds 16
gallons. How many gallons will be oil?
A- 4 gallons
B-5 gallons
C-3gallons
D-12gallone
Answer:
Step-by-step explanation: 25% of Oil
25%= 1/4 in a fraction
1/4x16=4
Answer 4 Gallons
1. Solve for zeros;
X3-9x2 +24x-16
can clothing help resist disease
Answer:
no
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Because the clothing can have a bunch of germs on it from people touching it and you never know who could have touched it and been sick
A water tank holds 320 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 480 gallons but is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
I think the two tanks will be the same in week 80
Step-by-step explanation:
A number two less than twice x
Answer:
2x-2
Step-by-step explanation:
A store is selling all toaster ovens at 15% off. Write an equation in the form y = kx to represent the sale price y in dollars of a toaster with an original cost of x dollars. Then find the amount Jill paid for a toaster with an original cost of $40.
Answer:
y=0.85x
Jill paid $34 for a toaster.
Step-by-step explanation:
Given that, x and y are the original cost and the sale price of the toaster oven after discount.
As there is 15% off on the original cost, so,
the discount amount = 15% of x
[tex]=\frac{15}{100}x[/tex]
=0.15x
Now, sale price = original cost - discount
[tex]\Rightarrow y = x-0.15x[/tex]
[tex]\Rightarrow y=0.85x[/tex]
This is the required equation in the form of y=kx, where k=0.85.
If the original cost of the toaster is $40.
Then the sale price,[tex]y=0.85\times 40=34.[/tex]
Hence, Jill paid $34 for a toaster.
Help!!!!!
Figure RSTU is shown in the graph. What will be the location of vertex U'?
Answer:(1,-6)
Step-by-step explanation:
R moved down 4 and left 3 making R’. all u have to do is move U down 4 and left 3 to create U’
write an equation in slope-intercept form that would have infinitely many solutions in a system of equation with 5x-2y=8
Answer:
I have the same questions
Step-by-step explanation:
This is very confusing for me, please help
Answer:
Math: Deals 6710 - 9506 fire damage and combustion to the second weakest enemy and 2 random enemies.
Step-by-step explanation:
wra
1. Find p and q if p+ iq = 5+3i?
Step-by-step explanation:
if p+iq =5+3i so
p=5 & q=3
3x
+
9y = -9
x + y = 1
Answer:
x=3, y= -2
Step-by-step explanation:
3x + 9y = -9
x + y = 1
Multiply the second equation by -3
-3x-3y = -3
Add this to the first equation to get rid of the x's
3x + 9y = -9
-3x -3 y = -3
------------------------
6y = -12
Divide by 6
6y/6 = -12/-6
y = -2
3x + 9y = -9
x + y = 1
Multiply the second equation by -9
-9x-9y = -9
Add this to the first equation to get rid of the y's
3x + 9y = -9
-9x -9 y = -9
------------------------
-6x = -18
Divide by -6
-6x/-6 = -18/-6
x = 3
Answer:
Here
the given equations are:-
3x + 9y = -9
or,3(x +3y)= -9
or,x+ 3y = -3 ................. (1)
x + y = 1 ................... (2)
Now , subtracting equation (2) from (1) , we ger:-
x + 3y = -3
x + y = 1
- - -
__________
0 + 2y = -2
or, y = -1
putting value of y in equation (2) , we get:-
x +(-2) = 1
or, x - 2 = 1
or x = 3
HENCE,
x = 3 and y = -1 are the values of x and y .
Thank me later.
Express the equation in logarithmic form 3^4= 81
Answer:
34918
Step-by-step explanation:
Diego has 90 songs on his playlist. How many songs are there for each genre? Type the answer in each box below. 1. 40% of the songs are rock, so there are rock songs. 2. 10% of the songs are country, so there are country songs. 3. 30% of the songs are hip-hop, so there are hip-hop songs. 4. The rest is electronica, so there are electronica songs.
Answer:
The answer is "Diego playlist has 36 rock songs, 9 country songs and 27 hip hop songs and 24 electronic songs".
Step-by-step explanation:
Total Songs on playlist = 90%
rock = 40%
country = 10%
hip hop = 30%
We need to find the number of songs in each genre.
rock = 40%
Therefore, rock album number[tex]= \frac{40}{100} \times 90 = 36 \ songs[/tex]
country = 10%
Thus number of country songs = [tex]\frac{10}{100} \times 90 = 9\ songs[/tex]
hip hop = 30%
So number of hip hop songs [tex]= \frac{30}{100} \times 90 = 27 songs[/tex]
Or resting was its genre of computing. Dividing number of lyrics in the digital genre and amount of songs in the rock genre in the country genre
Complete sum of songs of the hip hop genre.
We get equation framing; framing;
Amount of electronica songs = [tex]90-30-9-27=24 \ songs[/tex]
Which expression is equivalent to 14−17?
Below are two parallel lines with a third line intersecting them
X = ?
Answer:
The answer is 122° because they are adjacent angles
Kevin's Pie Shop sold 60 pies last month; 2/10 were apple pies and 4/10 were peach pies. How many pies were neither apple nor peach?
Answer: 4/10, or 40%, or 24
Step-by-step explanation: 2/10+4/10 is 6/10, which is 60-36, which is 24. This means the remaining 24 pies are neither apple or peach.
Number of pies that were neither apple nor peach = 24
What is fraction?Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given,
Total pies sold last month = 60
No. of apple pies = 2/10 of 60
= 2 × 60/10
= 12
No. of peach pies = 4/10 of 60
= 4 × 60/10
= 24
Pies that are neither apple nor peach pie
= Total pies - (No. of apple pies + No. of peach pies)
= 60 - (12 + 24)
= 60 - 36
= 24
Hence, 24 pies are neither apple nor peach.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ2
3x + 7 = 35 Tell me what you would do for the first step
Answer:
First subtract 7 from both sides
Then divide 3 from sides
and x should be by itself
Step-by-step explanation:
Adam runs 4 miles in 20 minutes. How many miles does he run in 1 hour?
Answer: 12 miles
Step-by-step explanation:
Answer: Adam will run 12 miles in 1 hour.
Step-by-step explanation:
Ok, so we know 4 miles in 20 minutes, correct?
Multiply 20x2. You will get 40. Then, multiply 4x2. That is 8. So in 40 minutes he ran 8 miles. So if we multiply 20x3, we would get 60 minutes which is an hour. So we need to multiply 4 by 3–12.
Please help me ASAP I have 20 minutes left What linear equation is
represented by the table?
Select one:
A.y = 4x
B.y= 2x – 2
C. y=2x
D.y= 4x-2
Answer:
y = 4x-2
Step-by-step explanation:
what is 0 plus 0 equal to
Answer:
0+0=0
Step-by-step explanation:
zero added to itself is still 0 so its equal to nothing
Answer:
it equals 0
Step-by-step explanation:
35/20+3/20=35/20+3/20=
35/20 + 3/20 = 35/20 + 3/20 = 19/10
Answer:
a
Step-by-step explanation:
a
The table shows the daily low temperatures for Cleveland, Ohio, over five
days. Which expression can be used to find the average daily low
temperature during the five days? *
it would be the first one
[15+(-2)+8+(-6)+5]+5
NEED HELP HURRY UP!!!
evaluate the expression when b=5 and c=7
5c+b2 over b
simplify the answer as much as possible
The slope of a line is -1/5 and the -intercept is 5. What is the equation of the line written in slope-intercept form? Type the equation in the space provided. Be sure to use the slope-intercept form noted in the lesson.
y=mx+b
Answer:
y = -1/5 x + 5
Step-by-step explanation:
2y=-5/6x+5
Write in standard form
Answer:
5x + 12y = 30
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
2y = - [tex]\frac{5}{6}[/tex] x + 5 ( multiply through by 6 to clear the fraction )
12y = - 5x + 30 ( add 5x to both sides )
5x + 12y = 30 ← in standard form