Therefore, 2x³ - 8x units³ is the volume of a rectangular prism.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
(2x³ - 8x) is the volume of a rectangular prism.
What is volume?
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that, a rectangular prism with a length of 2x, a width of (x−2), and a height of (x + 2)
Volume: L x B x H
= (2x) × (x - 2)(x + 2)
= (2x) × (x² - 4)
= 2x(x² - 4)
= 2x³ - 8x units³
Hence, 2x³ - 8x units³ is the volume of a rectangular prism.
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What property was used in step 1 to arrive at step 2?
Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
Answer:
Distributive Property
Step-by-step explanation:
5(x - 7) = 55 ⇒ 5x - 35 = 55
The 5 was distributed in 5(x-7) to get 5x - 35.
Simplify Simplify 6 - 23 + (-9 + 5) · 2.
Answer:
The answer is −42
A local volunteer group has 150 raffle tickets to sell. They sell them in packs of three tickets per customer. Determine which graph and which equation represent the number of tickets, T, the group has left after selling tickets to c customers.
The equation that represents the number of tickets T, the group has left after selling tickets to c customers is:
T = 150 - 3c
The graph representing the equation is plotted below
The total number of tickets that the volunteer group has = 150
They sell the tickets in packs of three tickets per customer
The number of customers is c
Number of tickets sold to c customers = 3c
The number of tickets left after selling tickets to c customers is:
T = 150 - 3c
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Answer:
I HAVE COME TO SAVE THE DAY!
ok the equation is t= -3c + 150
the graph is the one that is the same as the equation the y intercept is 150 the slope is -3 over 1 (up three over one) on y test the answers were the top right for both boxes but it might be different for you
Can you plsssssssssssssssssssssssssssss help me with this.
Answer: (-1, 7) should be the answer
Step-by-step explanation:
why did you copy my profile picture hello......
5y+12>62 solve for y
Answer:
y>10
Step-by-step explanation:
5y+12>62
Subtract 12 on both sides
5y > 50
Divide 5 on both sides
y > 10
Answer:
y>10
Step-by-step explanation:
First, let's subtract 12 from both sides:
5y+12-12>62-12
Then let's simplify:
5y>50
Now let's divide both sides by 5:
5y/5>50/5
And then simplify to get our answer y>10
Hope this helped
Use the information given to answer the question. An office supply store has 1,508cases of paper and
736
boxes of pens. Each case of paper contains
24
packs of paper, and each box of pens contains
50 pens.
Part A
How many packs of paper does the office supply store have?
36,192 packs of paper
36 , 192 packs of paper
36,432 packs of paper
36 , 432 packs of paper
37,700 packs of paper
37 , 700 packs of paper
37,750 packs of paper
How many terms are in the expression 3xy+2x+1
Answer:
4
Step-by-step explanation:
In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature consisting of a single binary operation, the term algebra over a set X of variables is exactly the free magma generated by X
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS
Answer:
the third answer, y= (1/3) x
Answer:y=(1/3)x
Step-by-step explanation:
if x and x/4 are a pair of supplementary angles find angles
[tex]\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}[/tex]
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1)
y= 3x + 1
y=x-3
y=2x+5
y= 2x – 5
Write the fraction 35/42 simplest form
Answer:
5/6
Step-by-step explanation:
What is 7(x-3) Equal to
Answer:
7x-21
---------------------
Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x−9.
y = -2x + 24
hope this is helpful!
Answer:
y+2x=24
Step-by-step explanation:
the equation of the line: y=1/2x -9
Get the slope by using derivative:
dy/dx= 1/2
dy/dx= slope of the normal line
Since we are looking for slope of the tangent line:
Use Mn=-1/Mt
The slope of the tangent line is -2
Using point slope form:
(y-y1)=m(x-x1) ; where x1=7, y1=10, and m=-2
y-10=-2(x-7)
y-10=-2x+14
ANSWER: y+2x=24
Find the surface area of the cuboid.
Answer:
62 cm²
Step-by-step explanation:
The surface area (SA) is the sum of the areas of the 6 faces.
The opposite faces are congruent, then
SA = area of front/ back + area of top/ bottom + area of 2 sides
= 2(5 × 3) + 2(5 × 2) + 2(3 × 2)
= 2(15) + 2(10) + 2(6)
= 30 + 20 + 12
= 62 cm²
Solve the inequality.
D
— < -4
-5
how much is 3 liters in 50 bottles
Answer : 0.06 liters per bottle
Step - by - step explanation :
3 liters divided by 50 bottles = 0.06 liters per bottle
[ Sorry if this wasn't what you meant when you asked the question ]
Happy holidays ! :3
Square of the difference of two terms
Answer:
123-23=100
100^2=100*100=10^4=10000
ANSWER PLZZ NO LINKS PORFA
How many miles longer is Trail A than Trail B?
the functions below show the amount of money bella and sweet t had saved after earning money for doing chores
Answer:
Hello your answer should be: Bella saved more per chore than Sweet T.
Step-by-step explanation:
Hope this helped! :)
Have a great rest of your day!
Find all the missing angles.
Please help
Identify the slope represented in the graph below.
2+2+9+9+9+9+7+7+6-8-6+7+8+9+8+9+0+9+8+9
Answer:
The answer is 113.
Answer:
141
Step-by-step explanation:
There are 8 nines: 9×8=72
There are 3 sevens: 7×3=21
There are 4 eights: 8×4=32
6×2=12
2×2=4
All together you get
Plz help. Find the value of each variable. 1. 95° 120° 4120° 125° x + 840° .
Answer:
Step-by-step explanation:
ASAP HELP PLEASE SHOW ALL WORK AND PLEASE NO LINKS
Answer:
the triangle always equals 180.
so divide it right?
Refer to the attachment
can someone tell me if i did this right lol
Answer:
Your calculation is correct, but I'd answer 33.0 in.
Step-by-step explanation:
You are correct. Good job.
Answer:
I'm 96% sure its right, and those are pretty good odds ^^
Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers.
Answer:
y = - 3x + 7
Step-by-step explanation:
( 2 , 1 )
( 5 , - 8 )
m = ( - 8 - 1 ) / ( 5 - 2 ) = - 3
y - 1 = - 3 ( x - 2 )
y = - 3x + 7
The logarithmic expression [tex]log_{b}(\frac{1}{b^{-b}} )[/tex] where b > 0, is equal to
a) [tex]b^{-b}[/tex]
b) [tex]b^{b}[/tex]
c) [tex]-b[/tex]
d) [tex]b[/tex]
[tex]\log_b \left(\dfrac 1{b^{-b}}\right)\\\\=\log_b (b^{-b})^{-1}\\\\=\log_b b^b\\\\=b \log_b b\\\\=b \cdot 1\\\\=b[/tex]
it takes a swimmer 72.54 seconds to swim the 100 meter length of the pool going west what was his velocity.
(MUST show work and formula)
Step-by-step explanation:
Solution
(s) = 100m
(t) = 72.54s
(v) = ??
We have,
v = s÷t
v = 100 ÷ 72.54
v = 1.37 m/s
Hence, the velocity of the swimmer is 1.37 m/s
[this is how I personally have to do it but not sure about you]
For every 20 emails that Greg sent in a month, he received 50 emails. What is the ratio in simplest form of the number of emails sent to the number of emails received by Greg that month?
A. 5:2
B. 3:5
C. 2:5
D. 5:3
Answer:
C. 2:5
Step-by-step explanation:
You can divide both side of the ratio 20:50 by 5 which leaves you with 4:10. You can simplify it again by dividing it by 2 and get 2:5
Solve the expression then name the polynomial
If f(x) = 2x – 3 and g(x) = 3x2
– 2x + 6 then what is (f + g)(x)?