Answer: The distributive property.
Step-by-step explanation:
(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.
What is the Distributive Property?It is a property of multiplication and division. It states that when either of these operations is written outside a bracket, the operation must be applied to all terms inside the bracket when it is opened.
(a + b)c = ac + bc
The given equation is an example of:
It is given that:
(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x).
We can see that when the bracket of the second term is opened, the first term is multiplied across all the terms that were within the bracket.
This is a feature of the distributive property. It is called the distributive property of multiplication.
Therefore, we have found that the equation (x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.
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An accounting firm has 900 hours of on-the-clock staff time and 100 hours of reviewing time available to assign each week. The firm charges $300 for a tax return and $2000 for a small business audit. A small business audit requires 100 hours of staff time and 10 hours of review time. A tax return requires 12.5 hours of staff time and 2.5 hours of review time. In order to maximize their revenue for the week, how many small business audits and how many tax returns should the firm schedule? What is their maximum revenue for the week?
Constraints:
Objective Formula:
Answer:
The maximum revenue for the week is $19,000.
Step-by-step explanation:
Denote the variables as follows:
X = small business audit
Y = tax return
The maximizing function is:
Z = 2000·X + 300·Y
The maximizing function is subjected to the constraints:
100·X + 10·Y ≤ 900
10·X + 2·Y ≤ 100
0 ≤ X and 0 ≤ Y
The problem can be solved using the simples method as follows:
Let s and t be slack variables.
Initial:
x y s t b Basic
100 10 1 0 900 s (departing)
12.5 2.5 0 1 100 t
Z -2000 -300 0 0 0
(entering)
Step 1:
x y s t b Basic
1 1/10 1/100 0 9 x
0 1 -1/10 1 10 t (departing)
Z 0 -100 20 0 18000
(entering)
Step 2:
x y s t b Basic
1 0 1/50 -1/10 8 x
0 1 -1/10 1 10 y
Z 0 0 10 100 19000
(entering)
The optimal solution is:
X = 8
Y = 10
The maximum revenue for the week is $19,000.
If Jim can read an average of 20 pages in 40 minutes, how many hours would it take him to read a manual containing 90 pages?
Answer:
it takes him 180 kinutes to read 90 pages
-8-x=x-4x < what is the answer Please show work. 37 POINTS
Answer:
-8-x=x-4x
-8-x=-3x
-8=-2x
4=x
Answer:
free robux!?!!?
Step-by-step explanation:
There are 150 people in a school dance. The ratio of adult to students is 2: 3. How
many adults are in the dance ?
Answer:
60 adults
Step-by-step explanation:
There are 60 adults in the dance because as we have 150 people and the ratio of adults to students is 2:3, we need to add 2+3=5. Now we have 5 parts, so 150÷5=30. This means that there are 30 people per part, and as adults hold 2 parts of it, 30 x 2=60. So, there are 60 adults in the dance. Hope it helps!
HELP !!!
Find the equation of a line parallel to -3x - 5y = 4 that contains the point (4,3). Write the equation in slope-intercept
form
9514 1404 393
Answer:
y = -3/5x +27/5
Step-by-step explanation:
Since we want a parallel line, we can use the same x- and y-coefficients to find the new constant in the given form:
-3(4) -5(3) = -12 -15 = -27
In the given form, the equation of the desired line is ...
-3x -5y = -27
Solving for y, we have ...
-5y = 3x -27
y = -3/5x +27/5
Determine the slop of the linear function
Answer:
y = 5x.
Step-by-step explanation:
Read the table from top to bottom. You'll see that each time x increases by 1, y increases by 5. We know immediately that the slope of this line is m = rise/run = 5/1 = 5.
Using the first point (2, 10), we see that y = 10 when x = 2. Fit this info into the slope-intercept form of the equation o a straight line:
y = mx + b becomes 10 = 5(2) + b, or b = 0, and the final equation is y = 5x.
Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags.
What will Kermit think of Peggy's iced tea?
Answer:
He will love the Tea
Step-by-step explanation:
12 divided by 2 is 6
We take 6 ( the liter that he likes ) and multiply it by 15. This gives us 90, exactly what Peggy made.
Answer:
It is just right!
Step-by-step explanation:
12 divided by 2 is 6 . We take 6 and multiply it by 15. This gives us 90, which is exactly what Peggy made.
Jakes grandmother lives 8 miles away from him.His aunt lives 6 times as far away from him as his grandmother.How far away does his aunt live ?
Answer:
48 miles.
Step-by-step explanation:
If Jake's grandma lives 8 miles away, and his aunt is 6 times as far, then you multiply 6 * 8 and get 48.
need help on this one
f(x)=3x^2+6x-18 , find f(10)
Answer:
f(10)=342
Step-by-step explanation:
f(10)= 3(10)^2+6(10)-18
complete your exponet first and multiply 6(10)
f(10)=3(100)+60-18
multiply the 3(100)
f(10)=300+60-18
add and subtract all the numbers together
f(10)=342
Please help math lines again my profile is filled with them by now
Answer: Soil loss is caused by a variety of factors, including erosion from wind and water, mechanical tilling, logging, agricultural practices, and poor water management. Erosion and sedimentation, the major effects of soil loss, are widespread and can be devastating.
Erosion
Erosion is a natural process on hill slopes. The rate of erosion is determined by several factors, including soil type, rainfall, and length and percent of slope. Generally, human-induced changes in the landscape lead to higher levels of erosion than would occur naturally. While there are many ways to minimize erosion, vegetative cover is the most effective over the long term. Eroding road.When vegetation is removed, the rate of soil erosion is greatly accelerated, often beyond sustainable levels.
Sedimentation
Eroded soil deposited downslope is referred to as sedimentation. When severe rain or wind events occur or soils are disturbed by human
The Sedimentation Control Act of 1973 requires operators to implement short- and long-term mitigation measures to reduce erosion on- and off-site. Forest landowners who wish to harvest trees are exempt from these regulations if they comply with forestry practice guidelines, which include erosion control measures and mitigation. Best management practices (BMPs) are voluntary practices that reduce sources of se
Step-by-step explanation:
I honestly have no idea what to do here
Problem 1
Answer: DF = 2.68-----------------------------------
Explanation:
The scale factor is DE/AB = 1.34/2 = 0.67
This means DE is 67% of the length of AB
Or you could say that DE = 0.67*AB
This means that
DF = 0.67*AC
DF = 0.67*4
DF = 2.68
Side note: AC and DF are the first and last letters of ABC and DEF respectively. This is why AC and DF correspond together.
===========================================================
Problem 2
Answer: EF = 2.01-----------------------------------
Explanation:
We'll use the same scale factor to find EF
new side = (scale factor)*(old side)
EF = 0.67*BC
EF = 0.67*3
EF = 2.01
Side note: BC and EF are the last two letters of ABC and DEF respectively, so BC corresponds to EF.
Carly spends $5 for n notebooks. Write an algebraic expression to represent the cost of one notebook.
Answer:
vfgvygfvygybgybgybgybvgybgyvbg
Step-by-step explanation:
cvbnhbvcxzcdfvgbhjkhnfgvcdxsdfggvbgfvygf
Answer:
5÷n
Step-by-step explanation:
5÷n will tell you how much it is for each notebook
pls help me on this question it is geometry
Answer:
Contrapositive
Step-by-step explanation:
Original Statement: if p then q
Negation: not p
Contrapositive: if not q then not p
Inverse: if q then p
Converse: if not p then not q
2/3 times 6/7 divided by 2/5
Answer:
so the answer is 1 whole and 3/7 hope this helps :)
explanation:2/3× 6/7 = 4/74/7 ÷ 2/5 = 1 3/7Which of the following is not a rational number? (-12/35) (10) (2/0) (2 1/2)
Answer:
(- 12/35) THIS IS THE MAIN ANSWER YOU CAN SEE IN THE GOOGLE
hello please help will give brainliest!
Answer:
B
Step-by-step explanation:
The chart says Jana swam 200 miles in 120 s, and Micah swam 200 meters in 104 s.
Answer:
B! It's B!
Step-by-step explanation:
With A, there is a difference of 75 meters.
With C, there is a difference of 25 seconds.
With D, there is a difference of 9 seconds.
But with B, they both show they are correct!
Solve the inequality 4x − 6 > 6x − 20. (5 points)
Answer:
14
[tex] 14 > 2x[/tex]
Step-by-step explanation:
you first have to move 4x to the right side and then add 20 yo the left side to get what i got
Write another ratio that’s is equilevent too.4:6
Answer:
There is 4/6 as a fration or 4.6
Step-by-step explanation:
Answer:
2:3 is equivalent to 4:6
Step-by-step explanation:
I know that these ratios are equivalent because each side of the ratio 4:6, are divided by the same number, 2, 4 divided by 2 is 2 and 6 divided by 2 is 3 which gives us a equivalent ratio of 2:3
Find an equation of the line perpendicular to the graph of 10x - 5y = 8 that passes through the point at (-4, 7).
y = 2x + 5
a.
C.
1
•x-5
y =
b.
d.
1
y = -x + 5
2
1
y = --X + 5
Please select the best answer from the choices provided
A
B
ОООО
C
D
Answer:
Step-by-step explanation:
you want a line with slope = -1/2
So, using the point-slope form of the line,
y-7 = -1/2 (x+4)
y = -1/2 x + 5
Hard to tell what your choices are ...
Can Anyone help me this is my last question for webwork?
9514 1404 393
Answer:
maximum: 12at x = 0Step-by-step explanation:
The x-term has even degree so is never negative. The x-term is subtracted from 12, so the maximum value of the function will be found where x=0. That value is 12 -0 = 12.
f(0) = 12 . . . . absolute maximum
Answer:
The function [tex]f(x)=12-6x^4[/tex] has an absolute maximum value of [tex]12[/tex] and this occurs at [tex]x $\ equals 0.[/tex]
Step-by-step explanation:
The maximum value of this function is at 12, because if you rewrite this function:
[tex]f(x)=-6x^4+12[/tex]The +12 is the k-value (the graph of this function is a parabola) of the vertex form of a quadratic. Just a reminder:
Vertex form of a parabola:
[tex]a(x-h)^2+k[/tex]You can see the 12 is the k-value. The k-value of the vertex form is the vertical shift of the parabola, meaning that this parabola is shifted 12 units upwards.
Since the parabola opens down (you can tell by the negative a-value [tex]-6[/tex]), there is a maximum value at the k-value, i.e. the vertical shift.
[tex]f(x)=-6x^4+12[/tex] has an absolute maximum value of [tex]12[/tex].
To find where the maximum value occurs at, the formula:
[tex]-\frac{b}{2a}[/tex]Tells us the x-value of the vertex of the parabola, whose y-value is the maximum value.
Using our rearranged equation, the a, b, and c-values are:
[tex]a=-6[/tex][tex]b=0[/tex][tex]c=12[/tex]Plug in the a and c values into the formula to find the x-value of the maximum point:
[tex]-\frac{b}{2a}[/tex][tex]-\frac{(0)}{2(-6)}=0[/tex]Therefore, the absolute maximum value of 12 occurs at x = 0.
The midpoint M of QR has coordinates (6, 6). Point R has coordinates (5, 7). Find the
coordinates of point Q.
Write the coordinates as decimals or integers.
Answer:
(7,5)
Step-by-step explanation:
what is the y- intercept from the table
-1 because y-intercept is where y meets zero, therefore the y intercept of this graph would be -1<3
can someone solve, the answer is in the double form something
Answer:
See Below
Step-by-step explanation:
(x-3)-2 ≤ 1 (x-3)-2 ≥ -1
+2 +2 +2 +2
x-3 ≤ 3 x-3 ≥ 1
+3 +3 +3 +3
x ≤ 6 and x ≥ 4
Which organelle is marked with an X?
Answer:
cell wall :)
Answer:
Lysosome.
Step-by-step explanation:
If You Saw The Questions Before This One, you can see the Question: Which accurately labels the lysosome? and its X, so the answer is Lysosome
What is the answer 2x3-5+7=
Answer:
300000000
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Hope this helps :)
Brainest pls?
The graph of F(x) shown below resembles the graph of G(x)=x^3, but it has been changed somewhat. Which of the following could be the equation of F(x)?
Answer && Step-by-step explanation:
We know f(x) transcribes towards -x axis. thus ruling out b and d (remember signs opposite of what they mean on the board, you would think +# =towards x axis and vice versa also note if multiplied by a negative on the outside, flips signs inside)
choosing A.
plug in values of -x to see if you can get ~= to graph so -5 to -1
x: -5, -4, -3, -2, -1
y: -2, -.25, 0, .25, 2
checks out., A is your answer
The equation for f(x) is F(x) = 1/4(x+3)²
Given is a graph, showing the function g(x) = x³, we need to find the equation for the function f(x) in the graph,
We know f(x) transformed towards x-axis.
We see that, there is a left shift of 3 units, so the function will be (x+3)³
Also, the graph is spread out 4 units, so the function can be 1/4(x+3)³
Hence, the equation for f(x) is F(x) = 1/4(x+3)²
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(6*10^3)(2*10^5)
HELP please
Answer:
(216000)(3200000)
Step-by-step explanation:
6*10=60
60*60*60=216000
2*10=20
20*20*20*20*20=3200000
lines of best fit (regression lines) must touch all dada points on a scatter plot
true or false
Answer:
False
Step-by-step explanation:
A regression line tries to average out all data points, so it may not touch any of them.
One angle in a triangle measures twice the smallest angle, whereas the largest angle is nine times the smallest angle. Find the measures of all three angles.
° (smallest value)
°
° (largest value)
Step-by-step explanation:
Let the smallest angle be x
2nd angle = 2x
3rd angle = 9x
By angle sum property
x+2x+9x=180°
x=180/12
x=15
Three angles are 15, 30 and 135