Answer:
21
Step-by-step explanation:
Answer:
its 32
Step-by-step explanation:
no im jk its 81
The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3 − 14x^2 + 49x − 36. Given that x − 1 and x − 9 are two of the dimensions, find the missing dimension of the prism.
Answer:
The missing dimension of the prism is (x-4)
Step-by-step explanation:
Here, we want to find the missing dimensions of the prism
To get the volume, we are to multiply three dimensions since we are talking about volume
Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions
The product of the two other dimensions is;
(x-1)(x-9) = x^2-9x-x + 9
= x^2-10x+ 9
So we divide;
(x^3-14x^2+49x-36)/(x^2-10x+ 9)
We can use long division to get this
using long division, the answer here is x-4
The volume of a prism is the product of its dimensions.
The missing dimension of the prism is x - 4
The volume function is given as:
[tex]\mathbf{V(x) = x^3 - 14x^2 + 49x - 36}[/tex]
Let the missing dimension of the prism be y.
So, the volume is calculated using:
[tex]\mathbf{V(x) = y \times (x - 9) \times (x -1)}[/tex]
Multiply the factors
[tex]\mathbf{V(x) = y \times ( x^2-9x-x + 9)}[/tex]
[tex]\mathbf{V(x) = y \times ( x^2-10x + 9)}[/tex]
Equate both expressions of volume
[tex]\mathbf{y \times ( x^2-10x + 9) = x^3 - 14x^2 + 49x - 36}[/tex]
Make y the subject
[tex]\mathbf{y = \frac{x^3 - 14x^2 + 49x - 36}{x^2-10x + 9 }}[/tex]
Factor the numerator
[tex]\mathbf{y = \frac{(x - 4)(x^2-10x + 9 )}{x^2-10x + 9 }}[/tex]
Cancel out common factors
[tex]\mathbf{y = x - 4}[/tex]
Hence, the missing dimension of the prism is x - 4
Read more about volumes at:
https://brainly.com/question/21308855
hhhhhhheeeeeeeeeeellllllllllllloooooooooooooopppppppppppppppppppppppppppp
Answer:
nooooooooooo biiiiiiiiiiit.ch
Answer:
c
Step-by-step explanation:
change is rise over run, and 3 is your rise and 2 is your run, so when the line goes up 3, it goes to the right 2 units
Write a direct variation equation that relates x
and y. Then solve.
If y= -8 when x= -2, find x when y= 32
Answer:
y/x= -8/-2= 4 => when y=32 => 32/x=4 => x=8
Tell whether the following equation has one, zero, or infinitely many solutions. 2(4x + 10) = 8x + 20. Group of answer choices:
A) Infinitely many solutions
B) One solution
C) Zero solutions
Answer:
The equation will have infinitely many solutions.
Option A is correct
Step-by-step explanation:
We need to tell if the equation [tex]2(4x + 10) = 8x + 20[/tex] has one, zero, or infinitely many solutions.
First we solve the equation to find the value of x
[tex]2(4x + 10) = 8x + 20[/tex]
First multiply 2 with terms inside the bracket
[tex]8x+20=8x+20[/tex]
Now Subtract 20 from both sides
[tex]8x+20-20=8x+20-20[/tex]
[tex]8x=8x\\0=0[/tex]
So, the equation will be true for all values of x
As after solving the equation we get 0=0 so, the equation will have infinitely many solutions.
Option A is correct
What composition of rigid motions maps APOR LO AXZY?
A T<1,3> (270, 0)
B. Rx=0.T<0,2>
C. Tx6,2>. Rx = -2
D. Ry=-2.T-6,0>
Answer:
Looking for an answer for this one
Step-by-step explanation:
Find the x-intercept and y-intercept of the line.
2x+y=8
y-intercept:
x-intercept:
Answer:
The x intercept is 4 (by substituting y as zero we get x intercept)
And the y intercept is 8 (by substituting x as zero we get y intercept)
Take (4, 0) and take (8, 0) to graph the line
You're welcome!
Answer:
x = 4 y = 8 graph (4,0) and (8,0)
Roger completes a quiz with these rules: 5 points are given for each right answer, 2 points are lost for each wrong ans. Roger gets 6 questions correct and 4 questions wrong. What is roger's final score ?
Answer:
The final score of Roger is 22.
Step-by-step explanation:
The final score (F) of Roger is given by:
[tex] F = 5R - 2W [/tex]
Where R is the right answers and W is the wrong answers
Since he gets 6 questions correct (R = 6) and 4 question wrong (W = 4) we have:
[tex] F = 5R - 2W = 5*6 - 2*4 = 22 [/tex]
Therefore, the final score of Roger is 22.
I hope it helps you!
URGENT PLEASE!! I’ll give you brainliest! You just have to find x
Step-by-step explanation:
3(x+2)-(2x-1)=4(3-x)
3x+6-2x+1=12-4x
3x-2x+4x=12-6-1
5x=5
x=1
Answer:
x=1 2/5
Step-by-step explanation:
3x+6-2x-1=12-4x
x+5=12-4x
-5 -5
x=7-4x
+4x +4x
5x=7
/5 /5
x=7/5
x=1 2/5
True or False. Exponential Functions will create a straight line on a graph
Answer:
False
Step-by-step explanation:linear functions will create a straight line on a graph, exponentials will not.
Which one is correct? Please hurry <3
Answer:
PEMDAS so multiply or divide the coefficient
Step-by-step explanation:
Blanche bought a 5-year cd for $7100 with an apr of 2.8%, compounded quarterly, but she wants to take all her money out 9 months early. The early redemption fee for the cd is 3 months' interest on the original principal. What is the periodic interest rate of the cd
Answer:
The money she will end up earning in interest on the cd = $11,352.90
Step-by-step explanation:
The formula for getting the accumulated amount(compounded) is;
[tex]A =P(1+\frac{r}{n})^n*t[/tex]
Where
A = Accumulated amount
P = principle (deposit)
r = interest rate and
n = no of times interest applied per time period.
The interest is compounded quarterly so in one year it will be 4 times
In 5 years
n = (5×4)-3 = 17 (as she will withdraw 3 month before the completion of five years)
A = [tex]7100(1+\frac{2.8}{100} )[/tex]^17
= 7100( 1 + 0.028)^17
= 7100(1.028)^17
= 7100 * 1.599
= 11,352.90
Therefore the money she will end up earning in interest on the cd = $11,352.90
Solve x2 – 12x + 11 = 0 by completing the square.
Question 7 options:
x = –1
No Real Solutions
x = 11 and x = 1
x = 11
Answer:
Step-by-step explanation:
x^2 – 12x + 11 = 0
(x-11)(x-1)
x= 11, 1 completing the square
IN A GAME,THE PROBABILITY OF THE SPINNER LANDING ON A 2 IS 1/3. HOW MANY TIMES WOULD YOU SPIN EXPECT TO LAND ON A 2 IF YOU SPIN THE SPINNER12 TIMES. PLEASE HELP!!! PLEASE HELP ASAP!! WILL MARK BRAINLIIEST!!
Answer:
I’m pretty sure u would spin it 4 times
Step-by-step explanation:
I hope that helps check with someone else tho ❤️❤️
ayeeeeee who watched "the voice" tonight
ayeeeeeeeee not meeee
not me butt ayyyy whos failing school :)
Evaluate the following expression when n = 6.
|n - 6| - |5 - n|
Answer:
-1
Step-by-step explanation:
1. Substitute n with 6 because n=6
2. Then you simply solve both sides so (6-6)-(5-6) because n=6
3.so then you get the absolute value of 0 subtracted by the absolute values of -1
4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1
5. So the final answer is -1
Sorry if this was confusing, I’m really bad at explaining. :)
Answer:
|n-6|-|5-n|
=|6-6|-|5-6|
=|0|-|-1|
=0-1
=-1
HELP ME ASAP PLS
tommy had 8 times more money than loren. when parents gived 35cents to loren and tommy spent 14cents both of kids had same money. how much tommy had in start? how much loren had in start?
Answer:
Tommy had 56 cents in start and Loren had 7 cents in start.
Step-by-step explanation:
Let,
x be the money Tommy have.
y be the money Loren have.
According to given statement;
Tommy had 8 times more money than Loren.
x = 8y Eqn 1
Parents gave 35 cents to Loren and Tommy spent 14 cents, therefore
x-14=y+35 Eqn 2
Putting x=8y in Eqn 2
[tex]8y-14=y+35\\8y-y=35+14\\7y=49[/tex]
Dividing both sides by 7
[tex]\frac{7y}{7}=\frac{49}{7}\\y=7[/tex]
Putting y=7 in Eqn 1
[tex]x=8(7)\\x=56[/tex]
Hence,
Tommy had 56 cents in start and Loren had 7 cents in start.
Help will give crown
Replace x with the values in the table and solve.
25-3(2)= 25-6 = 19
25-3(4) = 25-12 = 13
25-3(5) = 25-15 = 10
25-3(6) = 25-18 = 7
Divide quadratics by linear expressions (with remainders)
Divide the polynomials.
Your answer should be in the form p(x) +
where p is a polynomial and k is an integer.
3
37
22 + 4
3
Stuck? Watch a video or use a hint.
Report a problem
Answer:
x + 3 + [tex]\frac{13}{x-3}[/tex]
Step-by-step explanation:
Divide using Synthetic division
dividing by ( x - 3)
Using 0 to represent the x- term
3 | 1 0 4
↓ 3 9
+ +
------------------
1 3 13 ← remainder
Thus
[tex]\frac{x^2+4}{x-3}[/tex] = x + 3 + [tex]\frac{13}{x-3}[/tex]
A company tests the life of its rechargeable batteries over six months of use. They test how long a battery will last after a full charge and put the data into a scatter plot. On the best-fit line y=-12.05+224.26 about how many months will a typical battery last before it is completely dead? Round your answer to the nearest tenth of a month.
Answer:
18.6 months
Step-by-step explanation:
Given that :
Best fit line from scatterplot :
y=-12.05x +224.26
x = Number of month
y = charge on battery
Number of months a typical battery uses before being dead completely :
When battery is dead completely ; charge =0, y = 0
y = -12.05x + 224.26
0 = - 12.05x + 224.26
12.05x = 224.26
x = 224.26 / 12.05
x = 18.610788
Hence, 18.6 months before battery is completely dead.
I need help please I forgot how to do this
Answer:
no it is not proportional
Answer:
No 3/9 would be proportional to 6/18
Step-by-step explanation:
I think
Rachel pays $131.44 for a desk, including tax. the tax is 31 cents less than 1/16 of the desk's price. what is the price of the desk before adding the tax?
help me plz
through: (4, -5), perp. to y =2/3x – 3
Answer:
y=-3/2x+11
Step-by-step explanation:
M a t h w a y
What is correct?
Screenshot below
I will give out 11 points
Write an equation that represents the line. Use exact numbers
Answer:
y= 2/3x + 1.25
Step-by-step explanation:
I can't see the exact number but it's probably 1.25. Sorry if it's wrong :)
i need help -45=-155+x
Answer:
x = 110
Step-by-step explanation:
Pls help need this for my finalWhat is the value of x in the isosceles trapezoid below?
A. 13
B. 26
2
A
C. 11
D. 22
Answer:
A) 13!
Step-by-step explanation:
Just answered the question!
Answer:
13
Step-by-step explanation:
Which units would be used for a measurement of area?
cm 2
π
inches
ft 3
Is it scaling isosceles or equilateral and what is the answer
Answer:
[tex]scalene[/tex]
Step-by-step explanation:
[tex]\textsf{Sum of internal angles;}[/tex]
[tex]71+50+6x-1=180[/tex]
[tex]6x-1=180-71-50[/tex]
[tex]6x-1=59[/tex]
Jeff collects baseball cards. His collection is getting quite large, so he would like to keep
the cards in an album. He has an average of 10 cards for each of 24 teams. How many
album pages will he need if each page can hold 8 cards (4 on each side)?
Answer:
30
Step-by-step explanation:
10 x 24 = 240
240 divided by 8 = 30
one of u guys helped me but they keep returning it saying show your work>:(
Answer:
36
Step-by-step explanation:
16*2 = 32
16*1/4 = 4
32+4 = 36
Answer: She will need 36 yards of material.
Step-by-step explanation:
16 × 2¹/₄ can be done different ways,
First multiply ¹/₄ times 16. that is the same as dividing 16/4 = 4
Then multiply 2 times 16 2×16 = 32
Add 32 + 4 = 36
Another way is to change 2¹/₄ to an improper fraction and multiply
⁹/₄ × 16
16
×9
54
+9
144
144/4 = 36