Answer:
we have:
8x³ + mx² - 6x + n
= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n
= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)
= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)
because the remainder if divided by (x-1) is 2
=> m + n + 2 = 2
⇔ m + n = 0 (1)
we also have:
8x³ + mx² - 6x + n
= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m + 18) + n +9/4m + 18
= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18
= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18
because the remainder if divided by (2x - 3) is 8
=> 9/4m + n + 18 = 8
⇔ 9/4m + n = -10 (2)
from (1) and (2), we have:
m + n = 0
9/4m + n = -10
=> m = -8
n = 8
Step-by-step explanation:
An art class charges each student $15 to attend, plus a fee for supplies. The instructor hopes to collect $240 total from the 12 students who attend the class.
2.1) Write a question that you could figure out using this information and whose answer is not already given.
Answer:
Find the cost of supplies charged by the instructor for each student.
he following graph shows the low temperatures for the past six nights. If the line continues as it has for the past six nights, which of the following is a good prediction for Tuesday night's low temperature?
Answer:
37
Step-by-step explanation:
Apply the distributive property and simplify. -9(x+2)=45 -9x+(__)=45
enter an equation that represents the function defined by this table of values
Answer: -3x + 1
Step-by-step explanation:
Looking at the y table, when we subtract 1 from them, they become multiples of -3
So we multiply x by -3 then add 1
x/6=x/7-5
Please show work thank you so much!!
Step-by-step explanation:
hope u like it plz follow and give thanks
Write the linear equation in slope-intercept form:
(-4 6); slope=-3/4
Answer:
Step-by-step explanation:
y-6 = -¾(x+4)
y-6 = -¾x -3
y = -¾x + 3
Sharon is buying candy. she buys 5 type on the menu if she splits the price equality with four friends how mich do they each pay
Answer:
D. 0.65
Step-by-step explanation:
0.05 x 5=0.25
0.01 x 5=0.05
0.07 x 5=0.35
0.25+0.05+0.35=0.65
they all must pay 0.65 each
Answer:
0.65
Step-by-step explanation:
12 cupcakes for $29
24 cupcakes for $56
50 cupcakes for $129
Which option gives the lowest unit price?
Answer:
29/12=2.41666667
..................=2.33333333
.......................=2.58
second
Step-by-step explanation:
PLEASE ANSWER THIS ILL GIVE BRAINLIEST
Answer:
(-4, -5)
Step-by-step explanation:
-4x + 2y = 6
-4x + 2(x - 1) = 6
-4x + 2x - 2 = 6
-2x - 2 = 6
-2x - 2 + 2 = 6 + 2
-2x = 8
-2x/-2 = 8/-2
x = -4
------------------------
y = x - 1
y = -4 - 1
y = -5
-------------------------
-4(-4) + 2(-5) = 6
16 + -10 = 6
6 = 6
Simplifly 25 : 15:30
Answer:
5:3:6
Step-by-step explanation:
because I took math
Write an equation to represent the situation: A starfish descends 2/3 of a meter each hour, h, until it has moved 6 total meters.
Answer:
6=2/3h
Step-by-step explanation:
Find the indicated side of the right triangle x=
9514 1404 393
Answer:
x = 9y = 9√2Step-by-step explanation:
Side lengths in an isosceles right triangle have the reduced ratios ...
1 : 1 : √2
Yours have the ratios ...
9 : x : y
If you multiply the reduced ratios by 9, you can find the values of x and y.
9 : 9 : 9√2 = 9 : x : y
x = 9
y = 9√2
Halp,ignore the answer I chose lolz
Answer:
the answer will be b that should be the answer
4+(7-5) to the power of 4
Step-by-step explanation:
= (4+(7-5))^4
= (4+2)^4
= 6^4
= 6×6×6×6
= 1296
MARK ME AS BRAINLISTPLZ FOLLOW ME
please solve it correctly, I will give 30points
Answer:
Step-by-step explanation:
volume = LWH/3 = 40·30·60/3 = 24,000 ft³
f(x) = -x^3 + 3x^2 + x - 3 Using the end behavior of f(x), determine the graph of the function
Answer:
Here, the given function,
Since, the leading coefficient is negative, and degree is odd,
Thus, the end behaviour of the function is,
Therefore, the graph rises to the left and falls to the right.
Now, when f(x) = 0
That is, graph intercepts the x-axis at (3, 0), (1, 0) and (-1, 0).
When x = 0,
That is, graph intersects the y-axis at ( 0, -3),
Also, for 0 > x > -1 , f(x) is decreasing,
For 2.55 > x > 0, f(x) is increasing,
For 3 > x > 2.55, f(x) is decreasing,
pleassee if you help i will mark you BRAINLIST
A store pays $85 for a table. The markup is 90%. What is the selling price?
What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip?
Answer:
1. $161.50
2. $68.04
Step-by-step explanation:
Breyelle is planning on purchasing a new sports-utility vehicle. The list price of the one she is most interested in buying is $32,000. This vehicle is expected to depreciate in value by 8.5% per year.
Which model could be used to calculate the daily depreciation for this vehicle?
V(t)=32,000(0.0233)^t
V(t)=32,000(0.9150)^t
V(t)=32,000(0.9767)t^t
V(t)=32,000(0.9998)^t
Answer:
V(t)=32,000(0.9767)t^t
Step-by-step explanation:
The correct model which could be used to calculate the daily depreciation for this vehicle is,
⇒ V (n) = 32,000 (0.915)ⁿ
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
Breyelle is planning on purchasing a new sports-utility vehicle.
Here, The list price of the one she is most interested in buying is $32,000.
And, This vehicle is expected to depreciate in value by 8.5% per year.
Hence, the daily depreciation for this vehicle is,
V (n) = 32,000 (1 - 8.5%)ⁿ
V (n) = 32,000 (1 - 0.085)ⁿ
V (n) = 32,000 (0.915)ⁿ
Thus, The correct model which could be used to calculate the daily depreciation for this vehicle is,
⇒ V (n) = 32,000 (0.915)ⁿ
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ3
brain chooses an integer, multiplies it by 4 then subtracts 30. He then multiplies his answer by 2 and finally subtracts 10. His answer is two digest number.
What is the largest integer he cold have chosen?
(lots of working's out plz)
thx =]
Answer:
4x-30=2-10
4x= 2-10+30
4x= 2-40
4x=-38
x-38/4
16x+16x+13x=180
what are the angle measures for:16x,16x,and 13x?
Step-by-step explanation:
16x+16x+13x= 180
45x= 180
x= 4
16x= 64°
16x = 64°
13x= 52°
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the equation.
(4,−3); y=3x−5
Answer:
[tex]y=3x-15[/tex]
Step-by-step explanation:
Slope intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)
1) Find the slope of the line ([tex]m[/tex])
When it comes to parallel lines, they will always have the same slope but different y-intercepts. The given equation is [tex]y=3x-5[/tex]. Because 3 is in the place of m, we know that the slope of the line is 3. Therefore, the slope of the line parallel to it will also be 3. So far, this is what our equation looks like:
[tex]y=3x+b[/tex]
2) Find the y-intercept ([tex]b[/tex])
To find the y-intercept, we plug the given point (4,-3) into the equation we currently have and solve for b.
[tex]y=3x+b\\-3=3(4)+b\\-3=12+b[/tex]
Subtract both sides by 12
[tex]-3-12=12+b-12\\-15=b[/tex]
Therefore the y-intercept of our line is -15. Plug -15 back into the original equation as b.
[tex]y=3x+(-15)\\y=3x-15[/tex]
I hope this helps!
Shopping While shopping for clothes, Tracy spent $27 less than 2 times what Jaclyn spent.
Tracy spent $21. Write and solve an equation to find how much Jaclyn spent. Let x represent how
much Jaclyn spent.
Answer:X = Daniel spent
Y = Tracy spent
Tracy spent = Y
$38 less than = -38
3 times Daniel spent = 3X
Put it all together
Y=3X-38
of the 19 total sloths that were spotted how many were not seen in the 30 - 39 interval
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
39 - 30 = 9
What is the value of x to the nearest tenth ?
Answer:
7.2
Step-by-step explanation:
24/2 = 12
19.2/2 = 9.6
[tex]12^{2}[/tex] - [tex]9.6^{2}[/tex] = 51.84
[tex]\sqrt{51.84}[/tex] = 7.2
HELP ASAP I WILL MARK BRAINLIEST
Answer:
It's the first one...!!!
find the product
(y + 9) (y-9)
Answer: it's y squared by 2-81
Step-by-step explanation:
Answer:
hope this is what u want
hope u find it useful
Can someone please explain how to do this problem for me?
Answer:
We always start with the x because in the alaphbet x is before y. So it says x=1 and the graph is skipping by 2 so in the middle of where the interact and beside positive 2 on the x row is where the 1 is so you keep it there for now. Now for the y you can see the middle where the interact well that is 0 so you have to keep the dot on the x place because if it said y=2 we would move it but is says 0 so we dont move it!
Pls Mark me brainlist
A box with no top is to be constructed from a piece of cardboard whose length measures 6 inches more than its width. The box is formed by cutting squares that measure 2 inches on each side from the four corners and then folding up the sides. If the volume of the box will be 14 in^3, what are the dimensions of the piece of cardboard?
Answer:
This is not possible
W = width of cardboard to start with
W+6 = length of cardboard to start with
H =2 (height of finished box)
volume = W x L x H = 14 in^3
if H=2 in, then the area of the base before cutting out the 2x2 corners is W x L = 7 in^2
This is not enough area to cut out the 4 corners of 2x2 each, which would be 16 in^2
-8(2x) + 5(2x - 12) + -2(5y - 2) + (-3) (3y)
PLEASE HELPP I NEED IT A S A P WILL MARK BRAINLIESTTTT!!!!!
Answer:
-6x - 19y - 56Step-by-step explanation:
Simplify:
-8(2x) + 5(2x - 12) + -2(5y - 2) + (-3) (3y) =-16x + 10x - 60 - 10y + 4 - 9y = x(-16 + 10) + y(-10 - 9) + (-60 + 4) = x(-6) + y(-19) + (-56) =-6x - 19y - 56Answer:
−6x−19y−56
Step-by-step explanation:
−8(2x)+5(2x−12)+−2(5y−2)+(−3)(3y)
Multiply −8 and 2 to get −16. Multiply −3 and 3 to get −9.
−16x+5(2x−12)−2(5y−2)−9y
Use the distributive property to multiply 5 by 2x−12.
−16x+10x−60−2(5y−2)−9y
Combine −16x and 10x to get −6x.
−6x−60−2(5y−2)−9y
Use the distributive property to multiply −2 by 5y−2.
−6x−60−10y+4−9y
Add −60 and 4 to get −56.
−6x−56−10y−9y
Combine −10y and −9y to get −19y.
−6x−56−19y
can someone help please ?
Answer:
5 is the hight
Step-by-step explanation: