Answer:
x=-2
Step-by-step explanation:
4(2x – 8) = 8(4x + 2)
Distribute
8x -32 = 32x+16
Subtract 8x from each side
8x-32 -8x = 32x+16-8x
-32 = 24x+16
Subtract 16 from each side
-32-16 = 24x+16-16
-48 = 24x
Divide by 24
-48/24 = 24x/24
-2 =x
The volume of a rectangular prism is (x^4 + 4x^3 + 3x^2 + 8x + 4), and the area of its base is (x^3 + 3x^2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? 4 O X+1- X4+4x2 + 3x? +8x+4 4 X+1+ X4-4x2 + 3x2 + 8x+4 x* O x+1-2-3x2 +8 © X+1 +
Answer:
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Given :
Volume of rectangular prism
Base Area of a rectangular prism =
---- (1)
Solution :
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
Step-by-step explanation:
Dividing the volume by the base area, you find the height to be ...
The height of the prism is
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
x⁴ + 4x³ + 3x² + 8x + 4 = (x³ + 3x²+8)h
Divide both sides by (x³ + 3x²+8)
h=(x⁴ + 4x³ + 3x² + 8x + 4)/(x³ + 3x²+8)
h=(x+1)((x³ + 3x²+8)-4)/(x³ + 3x²+8)
h=(x+1) - 4//(x³ + 3x²+8)
Hence, If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)
To learn more on Three dimensional figure click:
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100 people are asked if I drank two 7/10 10 years and 20% of people are you
for a brainlist let me know asap if i am correct
and pls explain
Answer:
A
Step-by-step explanation:
14
The points A, B and C lle on a straight line.
The length of AB is equal to the length of BC
What are the coordinates of point A?
*C(5,6)
*B12, 1)
Answer:
(-1,-4)
Step-by-step explanation:
First, you take the x coordinate of C and subtract it from the x coordinate of B. 5-2=3. You then take the 3 and subtract it from the x value of point B which is 2 and 2-3=-1 which gives us the x coordinate of point A -1. then you take the Y coordinate of C and subtract it from the Y coordinate of B. 6-1=5. You then take the 5 and subtract it from the y value of point B which is 1 and 1-5=-4 which gives us the y coordinate of point A -5. And that gives you (-1,-4)
the quotiont of a number and 12 -3 = -4
Answer:
the answer would probably be the -3
Answer:
the number is -12
Step-by-step explanation:
Write this word expression in symbolic expression:
Let the number be n. Then the quotient of n and 12, less 3, is -4, or
n
------- -3 = -4
12
n
Combining the negative integers, we get: -------- = -1
12
and so n = -1(12) = -12
the number is -12
7x-3y = 8
3x-4y = 1
solving this by using eliminination method.
Lucazz please solve this
Given pair of linear equations in two variables are :
7x-3y = 8------------(1)
3x-4y = 1-------------(2)
On multiplying (1) with 3 then
21x-9y = 24 ---------(3)
On multiplying with 7 then
21x-28y = 7 ----------(4)
On subtracting (4) from (3) then
21x-9y = 24
21x-28y = 7
(-) (+) (-)
__________
0+19y = 17
__________
→ 19y = 17
→ y = 17/19
On substituting the value of y in (2) then
→ 3x-4(17/19) = 1
→ 3x -(68/19) = 1
→ (57x-68)/19 = 1
→ 57x-68 = 1×19
→ 57x -68 = 19
→ 57x = 19+68
→ 57x = 87
→ x = 87/57
Therefore, the value of x and y is 87/57 and 17/19 respectively.
Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?
Answer:
16
Step-by-step explanation:
Because 25 - 9 = 16
Ticket sales for for Matilda were 1,120 the first day. The next day, they sold 85 more tickets and made a total income of 2,310. What was the cost per ticket? The cost was dollars per ticket
Answer:
$14Step-by-step explanation:
The difference of sales between the first and the second days is the cost of 85 tickets:
2310 - 1120 = 1190Cost of a ticket:
1190/85 = 14Find the slope of these two points that's the cost
(0,1120)(85,2310)Slope
m=2320-1120/85-0m=14Suppose y varies jointly as × and z. What is y when × = 2 and z = 3, if y = 20 when × = 4 and z = 3?
Answer:
y = kxz
Step-by-step explanation:
(Find K)
20 = k(4) (3)
20/12 = k
k = 5/3
(Find Y)
y = (5/3)(2)(3)
y = 10
I hope this helps.
Please help me with this homework …
A square has a side length of 36 feet. This square is dilated by a scale factor of 23
2
3
to create a new square. What is the side length of the new square?
Answer:
24
Step-by-step explanation:
I answerd it on ttm and got it right
What is Logarithms ?
Answer:
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
Answer:
In mathematics the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
solve pls brainliest
Answer:
1.8333
Step-by-step explanation:
Solve for a
a + 4/5 = 1 1/2
Enter your answer as a fraction in simplest form in the box.
Answer:
a=47/10
Step-by-step explanation:
Answer these questions
Answer:
y = 5
Step-by-step explanation:
first you subtract 5y from itself and from 7y
then you'll get: 2y + 2 < 12
then subtract the 2 from itself and from the 12
that will give you: 2y < 10
then just divide the 2 from itself and that eliminates the 2 but keeps the y, and divide the 10 by the 2
that'll give you y = 5
30/x = 54/81 what value does x have to be to make it true
Answer:
x=45
Step-by-step explanation:
30/x = 54/81
30 = 54/81(x)
x = 30 ÷ 54/81
x=45
Answer:
x = 45
Step-by-step explanation:
30/x = 54/81
~Cross multiply
30 * 81 = 54 * x
~Simplify
2430 = 54x
~Divide 54 to both sides
45 = x
Best of Luck!
|3x - 5| = |6x - 1|
Answer:
x = -4/3
Step-by-step explanation:
|3x - 5| = |6x - 1|
=> 3x - 5 = 6x - 1
=> 1 - 5 = 6x - 3x
=> -4 = 3x
=> x = -4/3
Hoped this helped.
Answer:
x = [tex]\frac{-4}{3}[/tex] or x = -1.333333.....
Step-by-step explanation:
3x - 5 = 6x - 1
Move the 3x to the other side by subtracting, because the 3x is positive on the left side.
-5 = 3x - 1
Move -1 to the other side by adding.
-4 = 3x
Divide by 3 to get x
[tex]\frac{-4}{3}[/tex] = x
Hope this helps! <3
the angle bisectors of a triangle intersect at the
Answer:
The incenter
Step-by-step explanation:
The three angle bisectors of the angles of a triangle meet in a single point, called the incenter
Transform y = cot(x) to get the graph of. Which type of transformation is not performed? vertical shift horizontal shift vertical stretch horizontal stretch.
Transformation involves changing the form of the function
The transformation that is not performed is (a) vertical shift
The function is given as:
[tex]\mathbf{y = cot(x)}[/tex]
From the complete question, the transformed function is:
[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]
On y = cot(x); start by translating the function 2 units left.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x +2,y)}[/tex]
So, we have:
[tex]\mathbf{y = cot(x + 2)}[/tex]
Next, stretch the function horizontally by a factor of 1/5
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (\frac 15x,y)}[/tex]
So, we have:
[tex]\mathbf{y=cot[\frac 15(x+2)]}[/tex]
Lastly, stretch the function vertically by a factor of 3
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x,3y)}[/tex]
So, we have:
[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]
From the above transformations, we have:
Horizontal shift Vertical stretch Horizontal stretchHence, the transformation that is not performed is (a) vertical shift
Read more about transformations at:
https://brainly.com/question/13801312
Answer:
vertical shift
Step-by-step explanation:
edge
Julio is buying tickets for a football game from an online retailer. Tickets Inc. charges a fee of 6.75% per ticket and Max Tickets charges a flat fee of 55 per ticket. It
the tickets cost $79.50 each, from which retailer should Julio buy the tickets to pay a lesser ticket fee?
Answer:
Buy from Tickets Inc.
Step-by-step explanation:
if 4 friends have 8 apples how many will each friend get
2 because 8 divided by 4 is 2.
Answer:
2
Step-by-step explanation:
8/4 is 2
Five whole numbers are written in order.
4 6 х у
10
The mean and median of the five numbers are the same.
Work out the values of x and y.
Answer:
x = 7, y = 8Step-by-step explanation:
Given numbers in order:
4, 6, x, y, 10The mean is same as median.
The median is x as middle number. Since x is a whole number, the mean is also a whole number.
x and y can be selected from 7, 8 or 9 (numbers between 6 and 10).
The mean is:
(4 + 6 + x + y + 10)/5 =(20 + x + y)/5 = 4 + (x + y)/5It should be a whole number, so (x + y) should be divisible by 5.
The option is (7 + 8) = 15, and 9 is excluded.
Let's verify:
Median = x = 7Mean = 4 + (7 + 8)/5 = 4 + 3 = 7Mean:-
[tex]\\ \sf\longmapsto \dfrac{4+6+x+y+10}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{x+y+20}{5}[/tex]
Median:-
n=5M(D)=n+1/2=5+1/2=3rd term[tex]\\ \sf\longmapsto M(D)=x[/tex]
Compare
[tex]\\ \sf\longmapsto \dfrac{x+y+20}{5}=x[/tex]
[tex]\\ \sf\longmapsto x+y+20=5x[/tex]
[tex]\\ \sf\longmapsto 4x=y+20[/tex]
[tex]\\ \sf\longmapsto x=y/4+5[/tex]
[tex]\\ \sf\longmapsto x[/tex]
Take pair of (7,8)
[tex]\\ \sf\longmapsto 7=8/4+5\implies 7=2+5[/tex]
Verified
Hence
x=7y=8Round 8,213 to the nearest thousand
Answer:
yes
Step-by-step explanation:
because 8213 its come to 10000 also
help me pls thankyouuuuuuu
hope it helps. ...........
Help me plzzzz!! It is math and I have to walk the number line. And i don't know how to do it!
Answer:
1 is 13
2 is 13
3 is -7
4 is 7
Step-by-step explanation:
Solve the inequality, m+15<6 ?
Answer:
m < -9
Step-by-step explanation:
m+15<6
Subtract 15 from each side
m+15-15<6-15
m < -9
Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment AB¯¯¯¯¯ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)
Answer:
A. (8 2/5, 8 2/5)
Step-by-step explanation:
You want to find point P such that ...
AP : PB = 2 : 3
3AP = 2PB . . . . . . . . cross multiply
3(P -A) = 2(B -P) . . . recognize length XY = Y - X
5P = 3A +2B . . . . . collect P terms
P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5
P = (8 2/5, 8 2/5) . . . . matches choice A
Melissa is going shopping. She has no more than $55.00 to spend on new clothes. She wants to buy a pair of pants for $19.95 and some shirts that cost $9.50 each.
Which inequality can Melissa use to determine how many shirts, s, she can buy?
9.5s+19.95≤55
9.5s+19.95≥55
9.5s+19.95<55
9.5s+19.95>55
Answer:
A is the final answer the first option.
Answer:
The answer is (A) 9.5s + 19.95 ≤ 55
I took the K12 Test and got it correct!
Hope this helps!
Simplify the function f (x) = one-half (27) Superscript StartFraction 2x Over 3 EndFraction. Then determine the key aspects of the function.
The initial value is
.
The simplified base is
.
The domain is
.
The range is
.
Answer:
1/2.....9......all real numbers......y > 0
Step-by-step explanation:
got this right on edge 2021. hope this helps
Answer:
The initial value is
✔ 1/2
.
The simplified base is
✔ 9
.
The domain is
✔ all real numbers
.
The range is
✔ y > 0
.
Step-by-step explanation:
HI GUYS COULD YOU PLEASE HELP ME WITH THIS TYSM
Answer:
-13
Step-by-step explanation:
2(-2)-3(3)=
-4-9=
-13