(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 what?
a) vertical multiplication
b) FOIL
c)The Distributive Property
d) multiplying two binomials

Answers

Answer 1

Answer: The distributive property.

Step-by-step explanation:

Answer 2

(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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Related Questions

what is the y- intercept from the table​

Answers

-1 because y-intercept is where y meets zero, therefore the y intercept of this graph would be -1<3

-1 would be the y- intercept

(6*10^3)(2*10^5)
HELP please

Answers

Answer:

(216000)(3200000)

Step-by-step explanation:

6*10=60

60*60*60=216000

2*10=20

20*20*20*20*20=3200000

Please help math lines again my profile is filled with them by now

Answers

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:

Which of the following is not a rational number? (-12/35) (10) (2/0) (2 1/2)​

Answers

Answer:

(- 12/35) THIS IS THE MAIN ANSWER YOU CAN SEE IN THE GOOGLE

What is the answer 2x3-5+7=

Answers

Answer:

300000000

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Hope this helps :)

Brainest pls?

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.

Answers

Answer:

(7,5)

Step-by-step explanation:

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:

Answers

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.

2/3 times 6/7 divided by 2/5

Answers

Answer:

so the answer is 1 whole and 3/7 hope this helps :)

explanation:

2/3× 6/7 = 4/7

4/7 ÷ 2/5 = 1 3/7

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)

Answers

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

Write another ratio that’s is equilevent too.4:6

Answers

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

I honestly have no idea what to do here

Answers

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.

Solve the inequality 4x − 6 > 6x − 20. (5 points)

Answers

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

f(x)=3x^2+6x-18 , find f(10)

Answers

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

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)?

Answers

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

Learn more about equations, click;

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lines of best fit (regression lines) must touch all dada points on a scatter plot

true or false ​

Answers

Answer:

False

Step-by-step explanation:

A regression line tries to average out all data points, so it may not touch any of them.

Can Anyone help me this is my last question for webwork?

Answers

9514 1404 393

Answer:

maximum: 12at x = 0

Step-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.

There are 150 people in a school dance. The ratio of adult to students is 2: 3. How
many adults are in the dance ?

Answers

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!

Carly spends $5 for n notebooks. Write an algebraic expression to represent the cost of one notebook.

Answers

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

need help on this one​

Answers

It’s answer A because it’s Equivalent to 300 pages in 5 days

120 in 2 days plus 2 more days will be 240 plus 1 more day it’s 60 so 240+60= 300


SO THE ANSWER IS (A) : 120 pages in 2 days )
The answer would have to be A

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?

Answers

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 ?

Answers

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.

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

Answers

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

Answers

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.

Which organelle is marked with an X?

Answers

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

pls help me on this question it is geometry​

Answers

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

hello please help will give brainliest!

Answers

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!

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?

Answers

Answer:

it takes him 180 kinutes to read 90 pages

180 minutes I think

can someone solve, the answer is in the double form something

Answers

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

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

Answers

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 ...

-8-x=x-4x < what is the answer Please show work. 37 POINTS

Answers

Answer:

-8-x=x-4x

-8-x=-3x

-8=-2x

4=x

Answer:

free robux!?!!?

Step-by-step explanation:

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