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.
For more references on volume, click;
https://brainly.com/question/13338592
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The ordered pairs (−4,−3)
, (−2,−2), (4,1), (6,2), and (8,3) represent a function. What is a rule that represents this function?
Write an inequality for the following statement:
The difference between twice a number and 6 is at least 35.
6−2n≥35
2n−6≥35
2n−6≤35
6−2n<35
The formula below represents the standard form of a quadratic equation.
ax2+bx+c=0
Solve for b.
b=−ax2−cx
x=−ax2−c
x=−ax2−cb
b=x−ax2−c
The tables below each follow a different pattern
Which table follows the input-output rule: “Each output is one less than double the input”
table 2
table 4
table 1
table 3
Which inequality accurately represents the graph shown below?
Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400 iPhone. Write an inequality you could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone.
55w+75≥400
75w+55≤400
55w+75≤400
75w+55≥400
The equations and inequality expresses the relationship between the variables.
The correct responses are;
First part; The rule that represent the function is; y = 0.5·x - 1Second part; the correct option is the inequality; 2·n - 6 ≥ 35Third part; [tex]\displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}[/tex]Fourth part; Table 4Fifth part; [tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]Sixth part; 75·w + 55 ≤ 400Reasons:
First part;
The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;
The rate of change of the function, m, is therefore;
[tex]\displaystyle m = \frac{2 - 1}{6 - 4} = \frac{1}{2} = 0.5[/tex]
The slope and intercept form of the equation of the function is therefore;
y - 3 = 0.5·(x - 8) = 0.5·x - 4
y = 0.5·x - 4 + 3 = 0.5·x - 1
The rule that represent the function is; y = 0.5·x - 1
Second part;
2·n represent twice the number
The difference between twice the number and 6 = 2·n - 6
At least 35 = ≥ 35
Therefore, the inequality is; 2·n - 6 ≥ 35
Third part;
The given quadratic equation is; a·x² + b·x + c = 0
Therefore;
[tex]\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}[/tex]
Fourth part;
The best correct option is table 4, given that the table is as follows;
[tex]\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right][/tex]
Fifth part;
The y-intercept of the graph is -0.5
The slope is -4 ÷ 8 = -0.5
Therefore, the equation is; y = -0.5·x - 4
The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;
[tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]
Sixth part;
The amount Jordan part-time job pays = $75
The amount he has already saved = $55
The cost of the iPhone = $400
Let w represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;
75·w + 55 ≤ 400
Learn more about writing equations and inequalities here:
https://brainly.com/question/14321394
What is the greatest multiple of 99 that is less than 0?
Answer: -99
Step-by-step explanation:
This is a tricky question because we are dealing with negative numbers. In this case, the numbers that are closer to 0 are the greater numbers. So, the greatest multiple of 99 that is less than 0 would be -99.
in a sale there is a 40% discount.what is the discount on a dress that costs $150.00
Answer:
$90 or $60
Step-by-step explanation:
I rlly need help on this homework
Hi there! :)
First, let's use the Distributive Property.
It states that
a(b+c)=ab+ac
Therefore
5(2h+8)=10h+40
10h+40<60
Move all the numbers to the right, using the opposite operation:
10h<60-40
10h<20
h<2
Hope this helps. Use the comment section to clarify your doubts.
Answered by
~A teen whose hobby is helping others
Good luck.
Hey there!
5(2h + 8) < 60
= 5(2h) + 5(8) < 60
= 10h + 40 < 60
SUBTRACT 40 to BOTH SIDES
= 10h + 40 - 40 < 60 - 40
CANCEL out: 40 - 40 because it gives you 0
KEEP: 60 - 40 because it helps solve for the h-value.
NEW EQUATION: 10h < 60 - 40
SIMPLIFY IT!
= 10h < 20
DIVIDE 10 to BOTH SIDES
= 10h/10 < 20/10
CANCEL out: 10/10 because that gives you 1
KEEP: 20/10 because it gives you the result of the h-value
NEW EQUATION: h < 20/10
SIMPLIFY IT!
= h < 2
Therefore, your answer is: h < 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
the total cost of a watch and a radio is rs 500 .If the watch is cheaper than the radio by rs 150,find their cost
The diameter of Mercury is approximately4.9×103 kilometers. The diameter of Saturn is approximately 1.2×105 kilometers. About how many times greater is the diameter of Saturn than the diameter of Mercury?
Answer: 378.7 kilometers (maybe, I am not sure)
Mercury: 4.9 * 103 = 504.7 kilometers
Saturn: 1.2 * 105 = 126 kilometers.
Why on earth is Mercury's diameter greater than Saturn's -
504.7 - 126 = 378.7 kilometers
Eight children can fold 5 paper cranes in 6 minutes.
(i) How long will it take 36 children to fold 120 paper cranes?
solve similar triangles (advanced)
Answer:
1
Step-by-step explanation:
They are similar triangles and ED and AD are 9 so CB and AB must be 1.
The price of a package of 4 pens is $8.00. The same pens are sold at $2.50 each. If Alex bought three packages of pens rather than buying 12 pens individually, the amount he saved on 12 pens is the percent of the amount he paid is
Answer:
25%
Step-by-step explanation:
alex paid:
8x3 = 24
he saved:
2.50x12-24 = 30 - 24 = 6
percent:
(6/24)x100 = 25%
Mr. Russo had 6.25 cubic feet of potting soil in his raised garden bed. Then he took a bag of soil and poured in enough to completely fill the 9-cubic-foot bed. Let x represent how much soil was in the bag. Which inequality describes the problem?
Answer:
b
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!?
PT. 4 OF MY HW! STILL UNIT RATE
Answer: plant 1 grows at a faster rate
Step-by-step explanation:
HELPPPPPPP PLSSSSS!!!!!! 100 points
Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q
Prove: Triangle T S R Is-congruent-to Triangle Q R S
Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent.
Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent.
Step 2: We know that Angle T Is-congruent-to Angle Q because it is given.
Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property.
Step 4: Triangle T S R Is-congruent-to Triangle Q R S because
of the ASA congruence theorem.
of the AAS congruence theorem.
of the third angle theorem.
all right triangles are congruent.
Answer:
B.of the AAS congruence theorem.
Step-by-step explanation:
hope this helps!
A video game that normally sells for $80 is on sale for 60 what is the percent of discount for the sale price
Answer:
20% discount
Step-by-step explanation:
Please HELPPP!! Thank you
Answer:
its 6,7 just make it right if im wrong
What is an
equation of the line that passes through the point (-8, -1) and is
parallel to the line x– 4y = 4?
Answer:
y=1/4x + 1
Step-by-step explanation:
first equation,,y=1/4x - 1
G1 = G2
G2 = 1/4
y+1 /x+8 =1/4
4y = X + 8 -4
4y =x + 4
y = 1/4x + 1
Hi someone please help
Answer:
1st one is 68 and the 2nd one is 25. hope that helps
Answer:
1. 112°2. 25°Step-by-step explanation:
1. 50° + 62° = x°
112° = x°
2. x° + 125° = 150°
x° = 150° - 125°
x° = 25°
(An exterior angle of a triangle is equal to the sum of its two interior opposite angles.)
A school with 60 teachers is on alert during a nighttime storm. To inform teachers whether the school will open the next day, the principal will call four teachers, each of whom will call two others, and each of these will call two others, and so on until all 60 teachers have been contacted. How many teachers will have to make two calls?
A) 32
B) 29
C) 16
D) 24
E) 28
Answer:
The answer is 16
Step-by-step explanation:
call four teachers, each of whom will call two others, and each of these will call two others
Answer:
E) 28
Step-by-step explanation:
The 4 teachers the principal calls will each make 2 calls.
The 8 teachers they call will each make 2 calls.
The 16 teachers they call will each make 2 calls. At this point, all 60 teachers have been notified, and the last 32 recipients of calls don't need to call anyone.
4 +8 +16 = 28 teachers make 2 calls.
A TV has a listed price of $900.99 before tax. If the sales tax rate is 6.75%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
Solve each system of linear equations by elimination.
X-6y=7
-x+6y= -7 -
Answer:
Infinitely many solutions.
Step-by-step explanation:
x-6y=7
-x+6y=-7
--------------
0=0
infinitely many solutions.
Item 2
A baker displays 72 muffins on 8 identical trays.
How many trays does the baker need to display 54 muffins?
Enter your answer in the box.
Answer:
The baker needs six trays to display 54 muffins
Step-by-step explanation:
72/8 = 9
9 x ? =
56
9 x 6 = 56
Answer:
6
Step-by-step explanation:
Muffins displayed in 8 identical trays = 72
Muffins displayed in 1 identical tray = 72/8 = 9
Tray required to display 54 muffins = 54/9 = 6
What is 2/3 – (-2/3)
Answer:
2/3 - (-2/3)
=0.66 - (-0.66)
=0.66+0.66
= 1.32
Round 68,533 to the nearest hundred.
Answer:
68,500
Step-by-step explanation:
68,533 <- Hundreds place is underlined
[] To round, we look at the number right the place. If it is less than 5, keep it the same. If it is five or greater , round up.
[] In this case it is a 3, so we keep it the same. We get an answer of 68,500
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
help please.
with the steps
on image.
Answer:
T(n) = 3n² - 4-189 doesn't belongStep-by-step explanation:
Given sequence:
-1, 8, 23, 44, 71The first differences:
9, 15, 21, 27The second differences:
6, 6, 6If the sequence is T(n) = an² + bn + c, we have:
2a = 6 ⇒ a = 3Using the first and second differences work out the value of zero term:
9 - 6 = 3-1 - 3 = -4This gives us c = - 4
Now we have:
T(n) = 3n² + bn - 4The first term is T(1) = -1, substitute n = 1 and find the value of b:
3(1²) + b*1 - 4 = - 13 + b - 4 = - 1b = 0The nth term is:
T(n) = 3n² - 4Now lets find if -189 belongs to this sequence:
- 189 = 3n² - 43n² = - 185The left side is positive and the right side is negative so the answer is also negative
27.if 2 lbs of rice is $3. How much will 15 lbs of rice be?
Answer:
2 lbs rice= $3
15 lbs rice= x
x= 15×3/2
=45/2=22.5For $22.5 will be 15 lbs of rice .
How many fifths are there in the fraction 21/5?
Answer:
21
Step-by-step explanation:
1/5 x 21 = 21/5
Greg buys a school lunch for $1.50 each day. His caretaker gave him $40 for his lunches. What equation represents how much money Greg has?
Answer:
1.50 + 40= $41.50
Step-by-step explanation:
if Greg only had $1.50 and then he got an additional $40, he now has $41.50.
PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!
Find the solution of the system of equations.
x-y=-3
-8x+y=45
If the measure of base angle ABC is 75 , what is m
The sum of the angles of any triangle is 180°.
75° + 75° + m<BAC = 180°
m<BAC = 180° - (75° + 75°) = 30°
Rotation 180 counterclockwise around the origin of the point (-3,-7)
Answer: (3 , 7)
Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.