When should you use the distributive property?

Answers

Answer 1

The distributive property is used when you have a value multiplied by 2 values separated by an operation.

For example, if you have x (y + z), then you would use the distributive property to get x (y + z) = xy + xz.


Related Questions

Joe’s boat rental rents paddle boats for $8.00 and the paddles rent for $5.00 for the day. If David has $45, what is the least amount of hours he could rent the paddle boat

Answers

Answer:

Well i haven't found the hours out because the problem doesn't specify how many hours you can rent the boat for. I did do the math and you can rent the boat and the paddles for 13 dollars. This means that David can rent the boat for 3 days and he will have 6 dollars left over. I hope this helped you.

What is the equation of the line that passes through the point (-8,5) and has a slope of -1/4

Answers

Step-by-step explanation:

Using slope intercept for y = mx + b, substitute m = - 1/4, and (-8, 5) in for (x, y) to find the y-intercept

x+y/ 3 = 5 solve for x x+y is the numerator and 3 is denominator

Answers

Answer:

x=−y+15

Step-by-step explanation:

4p - 3(p + 5) = 3p - 17

Answers

Answer:

p=1

Step-by-step explanation:

4p - 3(p + 5) = 3p - 17

Distribute

4p -3p -15 = 3p -17

Combine like terms

p -15 = 3p -17

subtract p from each side

p-p -15 = 3p -17-p

-15 = 2p -17

Add 17 to each side

-15+17 = 2p -17+17

2 = 2p

Divide by 2

2/2 = 2p/2

1 =p

Answer:

Need points! Give brainliest! (a useless mod deleted all my answers for no reason)

Step-by-step explanation:

4p -3p-15 = 3p-17

2 = 2p

p = 1

What is the value of i5
1
−i
i
−1

Answers

I’m assuming you mean: What is the value of i^5? This symbol (^) means that the 5 is an exponent of five.
If you did mean i^5, then the answer is i.

or to put it in simpler terms,
i^5=i

I hope this helped!

What is the simplest form of (4x^3 + 6x - 7) + (3x^3 - 5x^2 - 5x + 9)

Answers

Simplest form:

7 x^3 − 5 x^2 + x + 2

1 Remove parentheses.
4
x
3
+
6
x

7
+
3
x
3

5
x
2

5
x
+
9
4x
​3
​​ +6x−7+3x
​3
​​ −5x
​2
​​ −5x+9

2 Collect like terms.
(
4
x
3
+
3
x
3
)
+
(
6
x

5
x
)
+
(

7
+
9
)

5
x
2
(4x
​3
​​ +3x
​3
​​ )+(6x−5x)+(−7+9)−5x
​2
​​

3 Simplify.
7
x
3
+
x
+
2

5
x
2
7x
​3
​​ +x+2−5x
​2
​​

Which is the inverse function of y=3x-9

Answers

Inverse is y = 1/3x - 3

Answer:

y=1/3-3

Step-by-step explanation:

What is the range of the function represented by the table?

Answers

Answer:

The second option

Step-by-step explanation:

the range is all the y vaules

Identify the type of conic section that is represented by the equation y^2- 1 = 4(x-7). DUE IN 2 HOURS, will give BRAINLIEST! A. Circle B. Hyperbola C. Parabola D. Ellipse

Answers

Answer:

Solution : Parabola

Step-by-step explanation:

As you can see only one variable is square in this situation, so it can only be a parabola. We can prove that it is a parabola however by converting it into standard form (x - h)^2 + (y - k)^2.

[tex]y^2-1=4\left(x-7\right) = y^2-1=4\left(x-7\right)[/tex]

Respectively it's properties would be as follows,

[tex]\left(h,\:k\right)=\left(\frac{27}{4},\:0\right),\:p=1[/tex]

What is the value of x

Answers

x equals negative 8 that's it

Answer:

-8

Step-by-step explanation:

3x+5-x=x-3

collect like terms

3x-x-x=-3-5

x=-8

Which of the following does NOT demonstrate a physical property of matter? A Salt and water combine to form a solution of salt water B Chocolate melts when it's left in the warm sun. C Batter changes to become cake when it is baked. D Water changes to water vapor when it reaches the boiling point

Answers

Answer:

b:chockelet

Step-by-step explanation:

Kono divides The numerator and the denominator of 4872 by the greatest common factor to simplify the fraction in one step by what number does he divide

Answers

Complete question:

Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide

Answer:

2/3

Step-by-step explanation:

Given the number : 48 / 72

Obtain the greatest common factor of 48 and 72

- - - - 48 - - - - 72

- 2-- 24 - - - - 36

- 2 - 12 - - - - - 18

- 2 - 6 - - - - - - 9

- 3 - 2 - - - - - - 3

The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24

Hence, divide both the numerator and denominator by 24 ;

Numerator = 48/24 = 2

Denominator = 72 / 24 = 3

= 2/3

A hot dog cart charges exactly $0.50 per hot dog. If the equation t=kh represents the total amount a customer is charged, t, for purchasing h hot dogs, what is the value of k?

Answers

Answer:

$0.50

Step-by-step explanation:

According to the information given, in the equation  t=kh, t is the total amount a customer is charged and h is the amount of hot dogs purchased. So, to be able to get the total amount a customer is charged you have to multiply the amount of goods bought by the price of each good. Because of that, K would be the price per hot dog which is $0.50.

Which pairs of angles in the figure below are vertical angles?

Answers

Answer:

m∠BTD and m∠ATP

m∠ATN and m∠RTD

Answer:

ATN & RTD, BTD& ATP

Step-by-step explanation:

To find out which pairs of angles are vertical in the picture let's define it first

Vertical Angles: Opposite Angles

It can't be the first one because the angle vertical to RTP is BTN

ATN & RTD

It isn't the third option since the angle opposite to DTN is RTA

BTD& ATP

divide 68 into two parts so that the larger number exeed the smaller one by 6

Answers

Answer:

31, 37

Step-by-step explanation:

Let the smaller number be x

Therefore, longer number = x + 6

According to the given information:

x + x + 6 = 68

2x + 6 = 68

2x = 68 - 6

2x = 62

x = 62/2

x = 31

x + 6 = 31 + 6 = 37

Thus, the two parts of 68 are 31 and 37.

The function f(x) = 4x + 30 represents the length of a rectangle. The function g(x) = x - 1 represents the width of the rectangle. Use (fºg)
(5) to determine the area of the rectangle.
04
46
O 50
O 200

Answers

Answer:

The answer is 46

Step-by-step explanation:

f(x) = 4x + 30

g(x) = x - 1

In order to find (fºg)(5) first find ( f • g)(x)

To find ( f • g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g(x)

So we have

( f • g)(x) = 4(x -1) + 30

= 4x - 4 + 30

( f • g)(x) = 4x + 26

To find (fºg)(5) substitute the value of x that's 5 into (f • g)(x)

That's

(fºg)(5) = 4(5) + 26

= 20 + 26

We have the final answer as

(fºg)(5) = 46

Hope this helps you

Answer:

46

Step-by-step explanation:

Kerry has 77 dolls. Perry has e more dolls than Kerry. Write the expression that shows how
many dolls Perry has.

Answers

Answer: 77+e=Perry

Step-by-step explanation:

if you pulg in any number that is exacly what you will do to the number.

The wire supporting a 20-foot tall phone pole is attached to the top of the pole, and to the
ground 12 feet from the pole. How long is the wire?

Answers

Answer:

22.36 feet

Step-by-step explanation:

This situation forms a right triangle, where the wire is the hypotenuse

Use the pythagorean theorem to find the hypotenuse/wire length:

a² + b² = c²

20² + 12² = c²

400 + 144 = c²

544 = c²

22.36 = c

So, the wire is 22.36 feet long

21 and 23 can best be described as -​

Answers

Answer:

odd numbers

Step-by-step explanation:

you can see that end with odd numbers 1 and three so they can best be described  as odd numbers

HOPE YOU FIND IT USEFUL

There are 10 blue marbles, 4 black marbles, 5 white marbles, and 6 red marbles in a box. If two marbles are drawn at random without replacement, what is the probability that both marbles removed are not blue?​

Answers

Answer:

7/20

Step-by-step explanation:

10 blue marbles, 4 black marbles, 5 white marbles, and 6 red marbles = 25 marbles

25-10 = 15

There are 15 not blue marbles

P( not blue ) = not blue marbles / total = 15/25 = 3/5

keep the not blue marble

25-1 = 24 marbles left

15-1 = 14 not blue marbles

P( not blue ) = not blue marbles / total = 14/24 = 7/12

P( not blue, keep, not blue) = 3/5 * 7/12 = 21/60 = 7/20

Answer:

7/20

Step-by-step explanation:

10(blue) + 4(black) + 5(white) + 6(red) = 25(total)

25(total)-10(blue)=15(not blue)

not blue/all = 15/25 = 3/5 = probability that first marble removed are not blue

If we remove 1 marble;

25-1 = 24 (total) , 15-1=14(not blue)

second not blue/all = 14/24 = 7/12 = probability that second marble removed are not blue

probability that both marbles removed are not blue : 3/5. 7/12 = 21/60

21/60 = 7/20

Hope this helps ^-^

Every month, Rachel gets a basic salary of $4000. He also get a bonus of $200 for each policy she sells and a bonus of $50 for each client’s complaint she resolves. Write an expression for her total salary for a month if she sells n policies and resolves x complaints.

Answers

Answer:

200n+50x+4000=Total Salary

Step-by-step explanation:

Please help
the value -2 is lower bound for the zeros of the function below
f(x)=4x^3-12x^2-x+15
True or False

Answers

Answer:

False

Step-by-step explanation:

f(x)=4x^3-12x^2-x+15

Using synthetic division

-2     4  -12   -1     15

            -8   40    -78

--------------------------

       4   -20  39  -63

Since this is not zero, this is not a lower bound

Answer:

[tex]\Large \boxed{\mathrm{False}}[/tex]

Step-by-step explanation:

[tex]\sf f(x)=4x^3-12x^2-x+15[/tex]

The zeros of the function is the values at which the function crosses the x-axis.

The value -2 is not a lower bound for the zeros of the function.

Express the following in the usual form
(a) 6.25×10-⁵

Answers

Answer:

0.0000625

Step-by-step explanation:

[tex]10^{-5}=0.00001[/tex]

[tex]6.25*10^{-5}=6.25*0.00001=0.0000625[/tex]

Answer:

So we need to express [tex]6.25 * 10^{-5}[/tex].

What is being used here is scientific notation, and when the exponent is negative, that means the number is less than 1.

As the exponent is -5, we have to move the coma 5 positions to the left (if it was positive we would have done that put to the right), so:

[tex]6.25 * 10^{-5}=0.0000625[/tex]

If you don't understand what does it mean to move the coma to the left, see this example to understand it:

We move it one time from 6.25 --> 0.625

We move it two times from 6.25 --> 0.0625

We move it three times from 6.25 --> 0.00625

We move it four time from 6.25 --> 0.000625

What we are doing is adding 0 to the left and if the exponent was positive, we would add 0 to teh right.

So now we know that [tex]\boxed{6.25 * 10^{-5}=0.0000625}[/tex]

sixty nine no plz urgently​

Answers

[tex]:\implies\sf\:\dfrac{4a^3}{a^4+x^4}+\dfrac{8a^7}{x^8-a^8}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3(x^8-a^8)+8a^7(a^4+x^4)}{(a^4+x^4)(x^4-a^4)(x^4+a^4)}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3x^8-4a^{11}+8a^{11}+8a^7x^4}{(a^4+x^4)^2(x^4-a^4)}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3x^8+4a^{11}+8a^7x^4}{(a^4+x^4)^2(x^4-a^4)}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3(a^8+2a^4x^4+x^8)}{(a^4+x^4)^2(x^4-a^4)}[/tex]

[tex]:\implies\sf\:\dfrac{4a^3\tt{(a^4+x^4)^2}}{{\tt(a^4+x^4)^2}(x^4-a^4)}[/tex]

[tex]:\implies\boxed{\bf{\purple{\dfrac{4a^3}{(x^4-a^4)}}}}[/tex]

Given the graph below, which of the following statements is true? On a coordinate plane, a graph shows an image with three connected lines. The first line has a negative slope and goes from (negative 5, 6) to (negative 2, 0), the second line has a positive slope and goes from (negative 2, 0) to (2, 2), and the third line has a negative slope going from (2, 2) through (4, negative 2). The graph represents a one-to-one function because every x-value is paired with only one y-value. The graph represents a one-to-one function because it is defined for all x-values. The graph does not represent a one-to-one function because it does not pass through the origin. The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

Answers

Answer:

The correct option is (D).

Step-by-step explanation:

A one-to-one function can be defined such the every value of x corresponds to exactly one value of y.

That is:

x₁ → y₁

x₂ → y₂

x₃ → y₃

.

.

.

and so on.

Consider the graph.

From the graph it can be seen that for y = 0 and y = 2 there are multiple x coordinates.

So, the graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

According to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Given :

On a coordinate plane, a graph shows an image with three connected lines. The first line has a negative slope and goes from (-5, 6) to (-2, 0).The second line has a positive slope and goes from (-2, 0) to (2, 2).The third line has a negative slope going from (2, 2) through (4, -2).

Draw the graph of the three lines in order to determine the function is one-one function or not.

The equation of the line passing through (-5,6) and (-2,0) is given by:

[tex]\dfrac{y-6}{x+5}=\dfrac{0-6}{-2+5}[/tex]

[tex]\dfrac{y-6}{x+5}=\dfrac{-6}{3}[/tex]

[tex]y-6=-2(x+5)[/tex]

y + 2x + 4 = 0    --- (1)

The equation of the line passing through (-2,0) and (2,2) is given by:

[tex]\dfrac{y-0}{x+2}=\dfrac{2-0}{2+2}[/tex]

2y = x + 2   ---- (2)

The equation of the line passing through (2,2) and (4,-2) is given by:

[tex]\dfrac{y-2}{x-2}=\dfrac{-2-2}{4-2}[/tex]

y - 2 = -2(x - 2)

y + 2x = 6   ---- (3)

Now, with the help of these three equations, the graph of the three lines can be plotted. The Graph is attached below.

So, according to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/12465796

Under what operation are the set of integers closed? Explain your answer

Answers

the set of integers is closed under addition, subtraction, and multiplication because when i add, subtract, or multiply any integers, the result is always an integer.

Answer:

a set of integers is closed under addition, subtraction, and multiplication because when you add, subtract, or multiply any integers, the result is always an integer.

Step-by-step explanation:

1
Spoints
Which is the image of vertex O after the triangle has been rotated 90 degrees counterclockwise about the origin?
6+
5
3
2
L
2
3
-653 -2.1
s! S6
o
w
s
.67
0 -1.2)

Answers

Answer:

(2, - 1 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , thus

O(- 1, - 2 ) → (2, - 1 )

4 of 5
7 pens and 2 pencils costs £22.
3 pens and 4 pencils costs £11.
Find the cost of a pen.
Find the cost of a pencil.
pen: £
pencil: £
I

Answers

Answer:

pen: £3

pencil: £0.5

now I'm typing cause it said the answer needs to be at least twenty words long...

13. In a cricket match, a batswoman hits a boundary 6times
out of 30 bells she plays. Find the probability that she plays .find the probability that she did not hit a boundary.​

Answers

Answer:

4/5

Step-by-step explanation:

6/30 times she did

aka 1/5

5/5-1/5

=4/5 :)

How do i solve this question?

Answers

Answer & step-by-step explanation:

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