What value of k makes the statement true?
x² (2x³ + 7x²yª) = 2xªyª + 7x³y8?

Answers

Answer 1

By apply the distributive property of multiplication, the value of k which makes the statement true is 1.

What is the distribution property?

Mathematically, the distributive property of multiplication is given by tis expression:

x(y + z) = xy + xz.

Next, we would apply the distributive property of multiplication to the given equation by distributing to the left-hand side using xy⁴:

k(2x⁴y⁴ + 7x³y⁸) = 2x⁴y⁴ + 7x³y⁸

Dividing both sides by the common factor, we have:

k = (2x⁴y⁴ + 7x³y⁸)/(2x⁴y⁴ + 7x³y⁸)

k = 1.

In conclusion, the value of k which makes the statement true is 1.

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Complete Question:

What value of k makes the statement true?

[tex]x^k[/tex]y⁴(2x³ + 7x²y⁴) = 2x⁴y⁴ + 7x³y⁸


Related Questions

Find the area of a right triangle with hypotenuse 15 in. and altitude 12 in. (to the hypotenuse).

Answers

The area of a right-angle triangle is half the product of the base of the triangle and the height of the triangle. The area of the triangle is 90 units².

What is the area of a right-angle Triangle?

The area of a right-angle triangle is half the product of the base of the triangle and the height of the triangle.

[tex]\rm{ Area \triangle = \dfrac{1}{2} \times base \times height\\[/tex]

For the given triangle if the hypotenuse is assumed as the base, and the altitude is assumed as the height of the triangle, then the area of the triangle will be,

Area of the triangle = 0.5 × 15 units × 12units

                                 = 90 units²

Hence, the area of the triangle is 90 units².

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Why is -1 3/10 as an improper fraction -13/10? Wouldn’t it be -7/10 because -1 * 10 + 3 is -7/10?

Answers

Answer:

-13/10

Step-by-step explanation:

It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

the price p of a new house minus a 20% down payment

Answers

Answer:

0.8p or p - 0.2p

Step-by-step explanation:

You can find the price for any house minus the down payment by writing an expression with a variable. Let p be the price of the house. If you pay 20% then the price will be lowered by 20%. You will pay as your mortgage 80% of the price. You can write it as either the expression 0.8p or p - 0.2p.

What is the following product? sqrt10 x sqrt10

Answers

The product of the mathematical expression √10 · √10 is 10 option first 10 is correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have given a mathematical expression:

= √10 · √10

As we know,

√a² = a

or

√a×√a = a

By applying the above rule:

= √10×√10

= √10²

= 10

Thus, the product of the mathematical expression √10 · √10 is 10 option first 10 is correct.

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Which of the following describes the graph of {x | 2 < x < 2} ?

- just a closed circle on 2
- an open circle on 2 and arrows pointing out
- the entire number line
- no solution​

Answers

Answer:

baahsuslskissisudjxnxnx

Please help!!!!! I’ve been stuck for like hours

Answers

[tex]10^2 + b^2=15^2\\\\100+b^2=225\\\\b^2=125\\\\b =\sqrt{125}\\\\b \approx \boxed{11.2}[/tex]

(-3 ) x ( + 3 )=( - 3) * ( - 3)= ______
2 ( - 3) * ( - 3)=
3) ( + 20 ) ( + 5) = ____

4) ( + 21 ) ( - 3 ) )= ___

5) (-2) * (+3) * (- 4) = ___

6) __ (5 + 4) = 2 * 5 + 2 * 4

7) 8 * 7 + 8 * 3 = 8 (7 + ___ )

8) 6 * 5 – 6 * 2 = 6 (__ - __)

9) 5 * 3 + 10 * 3 = 3( __ + 10)

10) 8 * 4 – 8 * 2 = ___ (4 – 2)

11) 7 ( 5 – 2 ) = 7 * ___

12) 5 (2 + 4 ) = 5 * ___

13) ( 64 8 ) 2 = ___

14) 2 * ( 9 + 1 ) = 2 * ___

15) ( 100 + 10 ) 5 = _____

16) (100 – 40 ) 10 = ____

17) – 5 * 5 = ____

18) 5 * ( -6 ) = ____

19) ( + 2 ) X ( + 3) = ___

20) ( + 6 ) X ( - 2 ) = ____

Answers

Answer:

first one is x = -1

Step-by-step explanation:

if you want me to do all of them ( which I can) then ima need more points then just 5 :)

At a certain fast-food restaurant, 56% of customers order a chicken sandwich, 43% of customers order french fries, and 30% of customers order both a chicken sandwich and french fries. What is the probability that a randomly selected customer will order a chicken sandwich or french fries (or both items)?

Answers

The probability that a randomly selected customer will order a chicken sandwich or french fries is 36%

How to determine the probability?

The given parameters are:

P(Chicken) = 56%

P(Sandwich) = 43%

P(Both) = 30%

The required probability is:

P = P(Chicken) + P(Sandwich) - P(Both)

This gives

P = 56% + 43% - 30%

Evaluate

P = 36%

Hence, the probability that a randomly selected customer will order a chicken sandwich or french fries is 36%

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What is the solution of
2x + 7 ≥ or 8 - x/3 ≤ 5

Answers

Answer: Second option from the top

Step-by-step explanation:

   First, we will simplify the given inequalities.

2x + 7 ≥ 1

2x ≥ -6

   x ≥ -3

-

8 - [tex]\frac{x}{3}[/tex] ≤ 5

- [tex]\frac{x}{3}[/tex] ≤ 5

- [tex]\frac{x}{3}[/tex] ≤ -3

   x ≥ 9

   Now, we will graph them. See attached.

An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function?

Answers

The points on the graph of the inverse variation are of the form:

(x, 8/x)

Which ordered pairs are on the graph of the function?

An inverse variation function is written as:

y = k/x.

Here we know that k = 8.

y = 8/x

Then the points (x, y) on the graph of the function are of the form:

(x, 8/x).

So evaluating in different values of x, we can get different points on the graph:

if x = 1, the point is (1, 8)if x = 2, the point is (2, 4)if x = 3, the point is (3, 8/3)if x = 4, the point is (4, 2)

And so on.

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Which of the following is a root of the polynomial function below?
F(x)= x³ +3x² - 5x-4

Answers

Answer:

3

Step-by-step explanation:

jus took test

solve x^3 = 13. use a radical sign in your answer

Answers

⊱________________________________________________________⊰

Answer:

x=∛13

Step-by-step explanation:

Take the cube root of both sides. That way, you'll get rid of the ³ next to x and leave x by itself

[tex]\large\boldsymbol{\rm{x=\sqrt[3]{13} }}[/tex]

done !!

⊰________________________________________________________⊱

Cαlligrαρɦγ

What is f(-3) for the
function f(a)=-2a?-5a+4?

Answers

Answer:

13

Step-by-step explanation:

f(-3)=2(-3)-5(-3)+4. = -6+15+4= 13. f(a)=13

PLEASE HELPPP ASAPP
I WILL MAKE YOU BRAINLIEST

Answers

The transformation that's illustrated in the diagram is translation.

What is transformation?

It should be noted that transformation simply means the manipulation of that moves a shape from a space to another.

In this case, the transformation that's illustrated in the diagram is translation. This is the sliding of try shape across certain number of spaces.

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Would mean a lot if you could help me out don’t answer it if you don’t know the answer

Answers

Answer: x = 15

Step-by-step explanation:

Hi!

These are supplementary angles, which means they both add up to 180°

Therefore,

9x+10 + 1x + 20 = 180

to solve, combine like terms

10x + 30 = 180

Then subtract 30 from both sides

10x = 150

now divide 10 from both sides leaving x by itself

x = 15

Hope this helps and have a nice day!

Answer: x = 15

Step-by-step explanation:

Hi!

These are supplementary angles, which means they both add up to 180°

Therefore,

9x+10 + 1x + 20 = 180

to solve, combine like terms

10x + 30 = 180

Then subtract 30 from both sides

10x = 150

now divide 10 from both sides leaving x by itself

x = 15

Hope this helps and have a nice day!

Please help me solve this question
possible answers are 100, 90, 45, 135

Answers

The angle is 135 degrees

Explanation:
Using the concept of supplementary angles, we can use the angle given to find for x.
Supplementary angles refer to angles that add up to a 180 degree angle/straight line. If we were to put the angle for x and 45 together we would get an angle of 180. So, to find x we can use 180-45, which equals 135.

Hey, guys help me answer!

Answers

Hello and Good Morning/Afternoon

Let's take this problem step by step.

        [tex]5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6[/tex]

What did we do in this problem

we ensured that both sides remained equally balanced in valuetook everything step-by-step to make sure that there were no mistakesto check it, we can plug it back into the original equation to see if it works

                  [tex]5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\[/tex]

Answer: x = 6

Hope that helps!

#LearnwithBrainly

Solution :-

⇒ 5 = 1/3 (5x - 15)

⇒ 5 × 3 = 1 (5x - 15)

⇒ 15 = 1 (5x - 15)

⇒ 15 = 1 × (5x - 15)

⇒ 15 = 5x - 15

⇒ 5x = 15 + 15

⇒ 5x = 30

⇒ x = 30 / 5

⇒ x = 6

The triangular region is rotated around the X-axis. What are the name and dimensions of the solid that is created from the rotation

Answers

Answer:

coneradius 8 unitsheight 6 units

Step-by-step explanation:

The attached image shows the figure of rotation generated by rotating a triangular shape about the x-axis.

Shape

When the given line is rotated about the x-axis, each point on the line traces a circle in the y-z plane. Those together will make a cone shape. The radius of the circle is the distance of the point from the x-axis.

Dimensions

The base of the cone will be the circle obtained by rotating the y-intercept about the x-axis. As above, the radius of that circular base is the y-value of the y-intercept: 8 units.

The height of the cone will be the x-value of the point where the radius is zero, at x=6.

The cone has a height of 6 units and a radius of 8 units.

What are the two most important characteristics of a geographical data set that must be known before any analysis can be done

Answers

The answer for this problem is b

Please help ill appreciate it best answer gets the brainliest answer!!

Answers

Answer:

C

Step-by-step explanation:

because it just make sence

Answer:

McKenna runs all the way home from school ...

Step-by-step explanation:

In this distance v time graph, a negative slope means going from school to home, a positive slope means going from home to school, and a flat section means staying at a particular location without moving.

The sum of the measures of two alternate angles of two parallel lines is 210°. Find the two angles. (they are two answers) (one of them is not 75 degrees

Answers

The measure of the angles are 105 degrees

How to determine the angles?

The sum of the angles is given as 210 degree

Alternate angles are equal.

So, we have:

x + x = 210

This gives

2x = 210

Divide by 2

x = 105

Hence, the measure of the angles are 105 degrees

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136mm into cm and mm​

Answers

Step-by-step explanation:

13.6 is the answer because 1cm is 10 cm

Answer:

13.6 cm

Is the second requested unit mm?  The value is already in mm.

Step-by-step explanation:

Use conversion factors for the metric system.

By definition:  1cm = 10mm

We can write this as a conversion factor.  Either:

 1)  1cm/10mm, or

 2) 10mm/1cm

We are given 136 mm.  Convert that by using either conversion factor.

(136mm)*(1cm/10mm) = 13.6 cm  Note how the mm unit cancels.

To use the other conversion factor, do a division:

(136mm)/(10mm/1cm) = 13.6 cm

====

136 mm is already 136 mm.  

Which inequality in factored form represents the region less than the quadratic function with zeros-40 and 50 and
includes the point (-55,-75) on the boundary line?
Oy<-(x-40)(x-50)
Oys-(x+40)(x+50)
Oys-(x-40)(x-50)
Oy<(x+40) (x + 50)

Answers

Using the Factor Theorem, the inequality that represents the given region is:

[tex]y < \frac{(x + 40)(x - 50)}{21}[/tex]

What is the Factor Theorem?

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

The roots are given as follows:

[tex]x_1 = -40, x_2 = 50[/tex]

Hence:

y = a(x + 40)(x - 50)

It includes the point (-55,-75), hence:

-75 = a(-55 + 40)(-55 - 50)

a = 75/(15 x 105)

a = 1/21

Hence the region less than the equation is:

[tex]y < \frac{(x + 40)(x - 50)}{21}[/tex]

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Answer:

D

Step-by-step explanation:

Can y’all help me out with this one I didn’t do it right igs

Answers

Step-by-step explanation:

We have a dilation because we are multiplying the pre image by some constant,

Since dilations doesn't preserve side length, they are a non rigid motion.

According to the rule, we multiply the x values by 3 and the y values by 2.

So our new points are

A'(9,10)

B'(15,6)

C'(6,4)

32 less than 3/7 of a number is 11/35 of that number. Find the number.

Answers

Answer is x=280
Step by step
We know 32 less than is subtraction -32
We know 3/7 of a number is 3/7x
We know “is” is equal =
We know 11/35 of a number is 11/35x
So
3/7x - 32= 11/35x

Now solve by first by combining like terms
Change the denominator of 3/7 to match the other fraction so we can combine. 7x5=35 so we do the same to the numerator, 3x5.
3. 15
____. _____
7. 35

3/7x -32 = 11/35x
15/35x - 32 = 11/35x
Subtract 15/35x from both sides to combine like terms
-32 = -4/35x
Now divide both sides by -4/35 to solve for x
To divide a fraction flip it and multiply
( -35/4 )(-32)
X= 280

You can check your work by substituting your number for x into your equation

3/7 (280) -32 = 11/35 (280)
120 - 32 = 88
88 = 88

Answer:

Step-by-step explanation:

Let "a number" be x.

"3/7 of a number" means (3/7)x

"32 less" means - 32

Thus, "32 less than 3/7 of a number" means (3/7)x -32

"is 11/35 of that number" means = (11/35)x

Put these together and we get:

(3/7)x -32 = (11/35)x

(3/7)x - (11/35)x = 32   Rearrang to get the x on one side

We need to change "(3/7)x - (11/35)" so that the two terms have a common denominator.

If we multiply the first term by (5/5) [which is equal to 1], we get:  

(5/5)(3/7)x or

(15/35)x

We can now write:

(15/35)x - (11/35)x = 32

(4/35)x = 32

Multiply both sides by (35/4)

(35/4)(4/35)x = (35/4)(32)

x = (35)(8)

x = 280

Points S, U, and T are the midpoints of the sides of TrianglePQR.

Triangle S U T is inside of triangle P Q R. Points S, U, and T are the midpoints of triangle P Q R.

Which statements are correct? Check all that apply.
One-halfQP = UT
One-halfTS = RQ
SU = PR
SU ∥ RP
UT ⊥ RP

Answers

Option A and D. The statements that are correct here are

1/2 QP = UTSU ║ RP

How to arrive at the statements about the midpoints

If the two points UT and QP are parallel, then UT is going to be the half of QP. This would be due to a scale factor of 1/2.

Then at a midpoint T is that of PR. SU is parallel to RP. SU is half of RP due to as scale factor of 1/2.

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Answer: A and D E2020

Step-by-step explanation:

E2020 geometry B!! :)

Someone please help me out

Answers

Answer:

A. y<-1/5x+1

Step-by-step explanation:

First, find the slope of the line

delta y / delta x = slope (delta means "change in", so delta y would the the change in y)

the change in y is 1, and the change in x is -5, so the slope is -1/5

we now know that the equation of the line is
y=-1/5x+1

The answer can't be c or d, because the line is dotted and not solid (solid lines signify ≥ or ≤, and dotted > and <)
To test if it is > or <, we can plug in some numbers to see if the equation is true

Right now, we have:


y[?]-1/5x+1, where "[?]" is either > or <


we see that the point 0,0 is a solution, since it is in the shaded region of the graph, because of this, we know that if we plug x=0 and y=0 into the equation, it must be true

plug in:

0[?]-(1/5)*0+1

0[?]1

clearly, [?] should be <, as 0<1
so, now that we know [?], we can replace it in our equation

y<-1/5x+1 , or "A"

A particle is moving along a projectile path at an initial height of 80 feet with an initial speed of 112 feet per second. this can be represented by the function h(t) = −16t2 112t 80. what is the maximum height of the particle?

Answers

Answer:

276 feet

Step-by-step explanation:

The best way to do this is to complete the square, which puts the quadratic in vertex form. The vertex of a negative parabola, which is what this is, is the highest point of the function...the max value.  The k coordinate of the vertex will tell us that highest value.  To complete the square, we will first set the quadratic equal to 0, then move the constant over to the other side:

The rule for completing the square is that the leading coefficient must be a positive 1.  Ours is a negative 16, so we have to factor out -16:

Now the next thing is to take half the linear term, square it, and then add it to both sides.  Our linear term is 7, half of that is 7/2.  Squaring 7/2 gives you 49/4.  So we add 49/9 into the parenthesis on the left.  However, we can't forget that there is a -16 out front there that refuses to be ignored.  We have to add then (-16)(49/4) onto the right:

The purpose of this is to create a perfect square binomial that serves as the h value of the vertex (h, k).  Stating that perfect square on the left and doing the addition on the right:

Now we finalize by moving the constant back over and setting it back equal to y:

The vertex is

That translates to "at 3.5 seconds the particle is at its max height of 276 feet".

What is the correct slope-intercept form of the equation y+4=2(x−3)?

Answers

Answer:

y = 2x - 10

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y + 4 = 2(x - 3) ← distribute the parenthesis

y + 4 = 2x - 6 ( subtract 4 from both sides )

y = 2x - 10 ← in slope- intercept form

A number is chosen at random from 1 to 25. Find the probability of selecting an even number or multiple of 13

Answers

Probability helps us to know the chances of an event occurring. The probability of selecting an even number or multiple of 13 is 13/25.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Number of even numbers between 1 to 25 = 22

Number of multiple of 13 between 1 to 25 = 1

The probability of selecting an even number or multiple of 13 is,

Probability = (12+1)/25 = 13/25


Hence, The probability of selecting an even number or multiple of 13 is 13/25.

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