Answer:
[tex]48x^9-72x^7+36x^5[/tex]
Step-by-step explanation:
The initial expression is:
[tex]9x^5+3x(4x^4-3x^2)^2[/tex]
First expand the squared part (inside the parenthesis):
[tex]9x^5+3x(4x^4-3x^2)(4x^4-3x^2)\\9x^5+3x(16x^8-24x^6+9x^4)\\[/tex]
Then, multiply the terms inside the parenthesis by 3x applying the distributive property:
[tex]9x^5+3x(16x^8-24x^6+9x^4)\\9x^5+48x^9-72x^7+27x^5[/tex]
Finally add terms with the same exponent
[tex]48x^9-72x^7+36x^5[/tex]
Answer:
D. 48x^9-72x^7+36x^5
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
Btw Look at you doing your school work looking smart! I see youuu! (even if you are cheating a lil but its ok im doing the same xD)
f(x)=-x^2+8x-20 find the min/max value
The maximum value of the quadratic function f(x)=-[tex]x^2+8x-20[/tex] is -4, which occurs at x=4. This value can be found by using the vertex formula for parabolas.
The function in question is f(x)=-[tex]x^2[/tex]+8x-20. This is a quadratic function, and since the coefficient of [tex]x^2[/tex] is negative, the graph of the function will be a downward-opening parabola. To find the maximum value of this function, we need to determine the vertex of the parabola.
The vertex of a parabola in the form of f(x)=[tex]ax^2[/tex]+bx+c is given by the formula h=-b/(2a). Plugging in our coefficients a=-1 and b=8, we find the x-coordinate of the vertex to be h=-8/(2(-1))=4. To find the corresponding y-coordinate, which is the maximum value, we substitute x=4 into the original function [tex]ax^2[/tex]+bx+c:
f(4)=[tex]-4^2+8\times4-20[/tex]
f(4)=-16+32-20
f(4)=-4
Therefore, the maximum value of the function f(x)=-[tex]x^2+8x-20[/tex] is -4, which occurs at x=4.
A pancake recipe calls for 4 cups of flour and 3 cups milk.does the recipe calling for 2 cups flour and 1.5 cup milk use the same ratio of flour to milk
find the equation of the normal of the curve at the given points :D thankiewss
What is lineAF? 11 units 15 units 43 units 51 units
Answer:
d.51
Step-by-step explanation:
took the quiz
Can someone help me solve X please?
An architect is designing a new windmill with four sails. In his sketch the sails center of rotation is the origin (0,0) and the top of one sails point T, has a coordinates (6,-2). He wants to make another sketch that shows the windmill after sails have rotated 180* degrees about their center of rotation. What would be the coordinates of T?
The coordinates of T are (-6,2).
The sails center of rotation is the origin (0,0)
The top of one sails point T(6,2).
What is the rotation?The action or process of rotating on or as if on an axis or center.
A 180 degree rotation make you turn (x, y) into (-x, -y),
so the point turn (6, -2), into (-6, 2).
Therefore the coordinates of T are (-6,2).
To learn more about the coordinate after rotation visit:
https://brainly.com/question/14266597
Kendrick adds 3/4cup of chicken stock to a pot. Then he takes 3/4 cup of stock out of the pot. What is the overall increase or decrease in the amount of chicken stock in the pot?
There is no net change in the amount of chicken stock in the pot.
To determine the overall change in the amount of chicken stock, we need to compare the amount added to the amount removed. Kendrick adds 3/4 cup of chicken stock to the pot, and then he takes out 3/4 cup of chicken stock from the pot.
Using a simple calculation:
Initial stock added: 3/4 cupStock removed: 3/4 cupOverall change = 3/4 cup - 3/4 cup = 0 cupsTherefore, the overall increase or decrease in the amount of chicken stock in the pot is zero. There is no net change in the amount of chicken stock in the pot.
Suppose there are 20 questions on a multiple choice test.if 25%of the answers are choice B how many of the answers are not choice B
At
6:00 A.M. the temperature was 33°F. By noon the temperature had
increased by 10°F and by 3:00 P.M. it had increased another 12°F. If at
10:00 P.M. the temperature had decreased by 15°F, how much does the
temperature need to rise or fall to return to the original temperature
of 33°F?
A)
Fall 7°F
B)
Rise 7°F
C)
Fall 3°F
D)
Rise 3°F
Please don't answer if you don't know.
If Bella runs 40% as fast as Thomas and 35% as fast as tam what percent faster than Thomas is tam
5x-2y=8 solve for y
[tex]5x-2y=8\ \ \ \ |-5x\\\\-2y=8-5x\ \ \ |:(-2)\\\\y=-4+2.5x\\\\\boxed{y=2.5x-4}[/tex]
I NEED HELP FAST! PLEASE!
Carson was building a greenhouse. He has a board that is 6 1/3 ft long. He’s needs the board to measure 5 1/6 fr. how much will he need to cut off of the board?
When your graphing inequality how do you know which side to shade in
How do I solve 26/5+8.8?
a jigsaw puzzle has edge pieces and inside pieces. the ratio 3:22. there are 924 inside pieces. calculate the total number of pieces in the puzzle
The jigsaw puzzle has a total of 1050 pieces, with 126 edge pieces and 924 inside pieces, based on the ratio 3:22 provided in the question.
To calculate the total number of pieces in the jigsaw puzzle, we need to use the given ratio of edge pieces to inside pieces, which is 3:22. If there are 924 inside pieces, and the ratio of edge pieces to inside pieces must remain constant, we can set up a proportion where the number of edge pieces is represented by x and the number of inside pieces by 924.
3:22 = x:924
To find the value of x, we can cross-multiply:
3 * 924 = 22 * x
This gives us :
2772 = 22x
Now, we can solve for x by dividing both sides of the equation by 22:
x = 2772 / 22
x = 126
This means there are 126 edge pieces. To find the total number of pieces in the jigsaw puzzle, we add the edge pieces to the inside pieces:
Total pieces = edge pieces + inside pieces = 126 + 924 = 1050
Plot the x- and y-intercepts to graph the equation. y=1/3x−1.
Answer:
The graph of given equation is shown below.
x-intercept is 3 and y-intercept is -1.
Step-by-step explanation:
The given function is
[tex]f(x)=\frac{1}{3}x-1[/tex]
We need to draw the graph of given equation.
At x=0,
[tex]f(0)=\frac{1}{3}(0)-1=-1[/tex]
So, y-intercept is -1.
Equate f(x)=0 to find x-intercept.
[tex]\frac{1}{3}x-1=0[/tex]
[tex]\frac{1}{3}x=1[/tex]
Multiply both sides by 3.
[tex]x=3[/tex]
So, x-intercept of the line is 3.
Plot these two points (0,-1) and (3,0) on coordinate plane and connect them by a straight line.
PLEASE HELP ASAP!
Which of the following does not represent a function?
the first one on the left is A and the last one on the right is D
56/x^2-2x-15 - 6/x+3 = 7/x-5
find y when x= 115 if y=10 when x=130
A group consisted of two girls for every boy. 24 more girls joined the group. there are now five girls for every boy. how many boys are in the group?
PLEASE HELP 2O POINTS
SHOW ME THE CORRECT ANSWER DRAW!!
PLOT THE X- AND Y- INTERCEPTS TO GRAPH THE EQUATION
Y = 1/3 x - 1
need help with this if someone could help me please and thank you
35+-20+-5 What is the answer?? Worth 10pts...
explain the. different ways that u can use multiplication to estimate. and solve. division problems
Answer:
Instead of divide the dividend by the divisor to get a quotient, you can estimate an approximate quotient and then multiply it by the dividend. If the result is greater than the divisor, then your estimated quotient was greater than the actual quotient, in the case that the result is lower than the divisor, then your estimated quotient was lower than the actual quotient. After that you proceed to estimate again the quotient. For example:
First approximation:
192/12 ≈ 14
12*14 = 168 < 192
Second approximation:
192/12 ≈ 20
12*20 = 240
So, the answer is between 14 and 20
Third approximation:
192/12 ≈ 16
12*16 = 192
Then, 16 is the correct answer
Most of the energy on Earth comes from A. Chemicals B. The sun C. Photosynthesis D. Carbohydrates
Find the GCF of 44j5k4 and 121j2k6.
Answer:
The GCF is [tex]11j^{2} k^{4}[/tex]
Step-by-step explanation: I did the assignment on edge.
sanjay can travel 342 miles in 6 hours. at this rate, how far can he travel in 5 hours?
10 peaple can paint a room in 5 days. if each person paints as quickly as the others then how much of the building could 7 paint in 5 days?
A scuba diver is 3.8 meters below the surface of the water. He is descending at a rate of 0.5 meters per minute.
Part 1:
Write an algebraic expression to describe the depth of the scuba diver after any number of minutes.
Part 2:
Describe what the variable represents in this situation.
Answer:
[tex]-3.8-0.5x[/tex]
Step-by-step explanation:
A scuba diver is 3.8 meters below the surface of the water.
So, Depth of scuba driver is - 3.8 m
He is descending at a rate of 0.5 meters per minute.
So, Rate = -0.5 m . min
So,Distance traveled in x minutes = -0.05 x
So, The depth after x minutes = -3.8-0.5x
So, an algebraic expression to describe the depth of the scuba diver after any number of minutes is -3.8-0.5x
The variable x represents the no. of minutes .