Katrina is asked to simplify the expression Negative 3 a minus 4 b minus 2 (5 a minus 7 b).

She writes: Negative 3 a minus 4 b minus 2 (5 a minus 7 b) = negative 3 a minus 4 b minus 10 a + 14 b

Which property allows her to do this?
the associative property
the commutative property
the distributive property
the additive identity property

Answers

Answer 1

Answer:

Distributive property

Step-by-step explanation:

Distributive property allows you to multiply a(b+c) as ab + ac.

Answer 2

The property which allows her to do this solution is; Distributive property

What is distributive property?

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

We are given that Katrina is asked to simplify the expression Negative 3 a minus 4 b minus 2 (5 a minus 7 b).

She writes:

= -3 a - 4 b - 2 (5 a -7 b)

= - 3 a - 4 b -10 a + 14 b

Using distributive property

Distribute the negative;

-3a-4b-10a+14b

Solve the like terms;

-3a-10a-4b+14b

-13a+10b.

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Related Questions

Name three exponent rules

Answers

Three examples of exponent rules are;

Product of Powers Rule
Quotient of Powers Rule
Power of a Power Rule

Hope this helps!

Answer:

Quotient rules

Derivative rule

Negative exponents

hope this helps

Provide the reflected ordered pair for each of the given ordered pairs. Reflect the ordered pair ( − 4 , 5 ) across the y-axis Reflect the ordered pair ( 0 , 3 ) across the x-axis

Answers

(-4, 5) changed to (4, 5)
(0, 3) changed to (0, -3)

True or false.
If the dilated image is larger than the pre-image, then the scale factor of the dilation is less than 1.

Answers

Answer:

False

Step-by-step explanation:

In order for the dilated image to become larger, it has to have a scale factor that is more than one not less than one.

False, Because If the scale factor is greater than 1, the image is larger than the preimage.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

If the scale factor is between 0 and 1, the image is smaller than the preimage. Dilations with a scale factor between 0 and 1 are called reductions.

And, If the scale factor is greater than 1, the image is larger than the preimage. Dilations with a scale factor greater than 1 are called enlargements.

Thus, The given statement is false.

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The lower the average monthly temperature, the higher the monthly heating bill.


There is a low correlation between the average monthly temperature and the monthly heating bill.


There is no correlation between the average monthly temperature and the heating bill.


The lower the average monthly temperature, the lower the monthly heating bill.

Answers

The first option is correct

What is the first point of x+3y>9? ( let x=0 )

Answers

Answer:

y=3

Step-by-step explanation:

(0,3)

pls helppp
The slope of the line segment joining the points (2, 3) and (2, -6) is undefined.


a)True b) False

Answers

Answer:

True

Step-by-step explanation:

The points (2,3) and (2,-6) are undefinable because it makes a vertical line. The slope cannot be defined.

what is the sample size of a test containing 5 true or false questions probability

Answers

Answer:

20 to 25 questions would be the size of a math test

49 increased by twice a number m

Answers

Answer:

The third one I think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

First -> twice m is -> 2m

Then

49 increased so -> 49+2m

What type of function is represented?

Answers

Answer:

b

Step-by-step explanation:

ITS B NOT C ITS B ITS B ITS B.

How are the solution sets to s<3 and |s|<3 different ?

Answers

Answer:

The solution set for [tex]s<3[/tex] would be (-∞,3)

The solution set for [tex]|s|<3[/tex] would be (-3,3)

Step-by-step explanation:

The solution set for [tex]s<3[/tex] can be any number that is lower than 3.

When we have the inequality  [tex]|s|<3[/tex], we need to rewrite this without the absolute values to find our answer

[tex]|s|<3[/tex]

[tex]s<[/tex] ± [tex]3[/tex]

This can be be split into [tex]s<3, s<-3[/tex]

But, there one thing that needs to be done to the inequality with the-3. As we multiplied it by a -1 to make it negative, we must reverse the sign of the inequality. This leaves us with [tex]s<3, s>-3[/tex]

Now, we can combine these to get one inequality

[tex]-3<s<3[/tex]

Any help someone...
(solve triangles using the law of sines)

Answers

Answer:

I can't help

Step-by-step explanation:

I can't help

When 40% of a number is added to twice the number, the result is 88. What is the number?

Answers

17.6 because you do the working out backwards :)

Answer:

36.67 or 36 and 2/3

Step-by-step explanation:

.4x + 2x = 88 divide by .4

x + 5x = 220 add like terms

6x = 220 divide by 6

x = 36.67 or 36 and 2/3

Find the volume of the following cone. Use 3.14 for π.

Question 2 options:



9847.04 cubic meters


39388.16 cubic meters


10257.33 cubic meters


41029.33 cubic meters

Answers

Answer:

A. 9847.04 cubic meters

Step-by-step explanation:

Answer:

B; 39388.16 cubic meters

Step-by-step explanation:

I think the following information will make things clearer:

The formula for finding the volume of a cone is V = πr²h/3:

We can substitute our lengths to find out the volume.

[tex]28^{2} = 784\\48 \: \div \: 3 = 16\\16\: \cdot \: 784 \: \cdot \: 3.14\\= 39,388.16[/tex]

Thusly, the volume of the cone is [tex]\boxed{39,388.16}[/tex].

Hope this helps!! ((:

Solve by completing the square:
x2 + 3x – 9 = 0

Answers

Answer:

Step-by-step explanation:

x = 9/5

The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2 + 3x - 9 = 0[/tex]

Now completing the square as

[tex]x^2 + 3x - 9 = 0[/tex]

Add and subtract by 9/4,

[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]

[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]

Taking square root on both sides,

[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]

Therefore, the solution of an equation is,

[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]

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in your class 6 students do not receive weekly allowance. 16 students receive $4 3 students receive $10 and 6 students receive $5. What is the mean weekly allowance?

Answers

Answer:

4

Step-by-step explanation:

To calculate the sum ot two vectors using the parallelogram method, where should the blue line be placed?

a. at the vertex between the green and red vectors c. at the tail of ONLY the green vector

b. at the head of the red vector

d. at the head of the green vector

Please select the best answer from the choices provided

0

0

0

0

Answers

Answer:

A is the answer to your question.

Answer:

a.

at the vertex between the green and blue vectors

Step-by-step explanation:

Examine these points on line u and line v.
Line u: (9,-8), (5,4)
Line v: (4,2), (7.-7)
How many points of intersection are there between line
u and line v?
zero
one
two
infinitely many

Answers

Answer:There are zero interception.

Step-by-step explanation:

The equation to Line U: is  y=-3x +19  and the equation to line V  is  y=-3x +14

So as you can see ,the lines have the same slopes but different y-intercepts.This means the lines are going to be parallel when being graph.Parallel lines never cross or intersect so there  is no points of intersection.

Answer:

A. zero.

Step-by-step explanation:

i took the assignment.

The temperature at night reached -13 °F. Write an equivalent statement about the temperature using the absolute value of the number.

Answers

Answer:

The temperature at night changed by 13°

Step-by-step explanation:

Which best describes the construction Marsha is doing?

Answers

Answer:

Awesome construction

Step-by-step explanation:

Marsha is building the construction pictured with a straightedge and compass. Marsha is building a line through P that is perpendicular to the line​. Thus, option (d) is correct.

What is construction?

The term construction refers to constructed the lines. It was the creation of an abstract entity. It was the mainly used in the math, art, and science. It was the accurate form of the lines in geometry, angles, and the drawings of shapes. It used the ruler and the compasses.

According to the Marsha is using straightedge and compass to do the construction as the line on the line through P perpendicular to line. It was the converted to the equation ax + by + c = 0. Perpendicular lines are those lines rays or segments on the intersect to form right angles.

As a result, the significance of the construction Marsha is doing a line through P perpendicular to line are the aforementioned. Therefore, option (d) is correct.

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Your question is incomplete, but most probably the full question was.

Marsha is using straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?a. A line through P parallel to line b. A line through P intersecting line !c. A line through P congruent to line! d. A line through P perpendicular to line!​.

HELP ME ASAP!!

Which of the following tables represents a function?


x 1 −1 4 −4
y 8 8 10 10

x 2 2 3 3
y 6 −6 7 7

x 5 −5 5 −5
y 10 11 12 13

x 2 2 7 7
y 2 3 4 5

Answers

Answer:

1)  x 1 −1 4 −4

   y 8 8 10 10

Step-by-step explanation:

x 1 −1 4 −4

y 8 8 10 10

When each input in set x has exactly one output in set y, the relation is a function.

ALL OF THESE ARE NOT FUNCTIONS !!!!!!!!!!

x 2 2 3 3         number 2 has 2 different outputs → not a function

y 6 −6 7 7

x 5 −5 5 −5     number 5 and -5 have 2 different outputs → not a function

y 10 11 12 13

x 2 2 7 7      2 and 7 have 2 different outputs → not a function

y 2 3 4 5

Answer:

A.   x 1 −1 4 −4

  y 8 8 10 10

Step-by-step explanation:

Write an equation of the line that passes through (-4,3) and (0,6).
An equation is y =

Answers

Answer:

y= ¾x +6

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the gradient first.

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Using the formula above,

[tex]m = \frac{6 - 3}{0 - ( - 4)} \\ m = \frac{3}{4} [/tex]

subst. the value of m into the equation.

[tex]y = \frac{3}{4} x + c[/tex]

To find c, substitute a coordinate.

When x=0, y=6,

[tex]6 = \frac{3}{4} (0) + c \\ 6 = 0 + c \\ c = 6[/tex]

Thus, the equation of the line is [tex]y = \frac{3}{4} x + 6[/tex].

What is the volume of the rectangular pyramid shown below?
9 in.
8 in.
7
in.​

Answers

Answer:

Step-by-step explanation:

To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume!

I cant do this until I know What number is what.

Which is length?

Which is height?

and which is width?

Answer:

Step-by-step explanation:b

What is the value of b? -8/5b = 8

Answers

Answer:

-0.2 or -2/10

Step-by-step explanation:

hope this helps

What’s the answer
m 1 = 3x, m 2 = 4xº, m 3 = 2x, find x.

10
20
30
40

Answers

Answer:

x = 20

Step-by-step explanation:

assuming if this was a triangle

3x + 4x +2x = 180

9x = 180

180/9 = 20

Answer:

20

Step-by-step explanation:

You know that the angle measurements in a triangle add up to 180 degrees.

using the equation 3x+4x+2x= 180, you can find x

Simplify:

9x=180

x=20

Your answer is B) x = 20

Hope this helps!

100 POINTS NEEDED RIGHT NOW! On a graph plot the points where the following function crosses the x-axis and y-axis g(x) = -5^x+5

Answers

Answer:

see below

Step-by-step explanation:

X-AXIS

when a graph intersects the x-axis, the y value is always 0.  

Ex.  Points (1,0), (-5,0), (-3,0), (6,0), etc. are all on the x-axis because y = 0.  

to find where the graph crosses the x-axis, let y or g(x) = 0

0 = -5^x + 5  subtract 5 from both sides

-5 = -5^x       if x is 1, that would produce -5 = -5

(1,0) x axis

Y-AXIS

when a graph intersects the y-axis, the x value is always 0.

Ex.  Points (0, 1), (0, -2), (0, 3), etc. all lie on the y-axis because x = 0.

to find where teh graph crosses the y-axis, let x = 0

does the exponent "x" apply to (-5) or just 5?  

[tex]-5^{x} or (-5)^{x}[/tex]

(-5)^0 + 5    any number with a 0 power is 1

1 + 5 = 6

(0, 6)

or -5^0 + 5

       -1  +  5 = 4

(0, 4)

Answer:

The person above is correct. this is just confirmation

Step-by-step explanation:

Solve for s.

9s = –10 + 10s

s = __

Answers

Answer:

10

Step-by-step explanation:

9s=-10+10s

Add 10 on both sides,

9s+10=-10+10s+1

9s+10=10s

Subtract 9s on both sides,

9s+10-9s=10s-9s

10=s

Therefore,s=10

If each quadrilateral below is a rectangle find the missing measure in #5

Answers

Answer:

What do you mean by #5?

Step-by-step explanation:

help plz. question is in photo.

Answers

Answer:

A.) [tex]10\sqrt{5}[/tex]

Step-by-step explanation:

I'll explain rn hold up

Answer:

A.) [tex]10\sqrt{5}[/tex]

Step-by-step explanation:

Fist simplify [tex]40\sqrt{40}[/tex] :

[tex]40\sqrt{40}\\\\40\sqrt{4}\sqrt{10}\\\\40*2\sqrt{10}\\\\80\sqrt{10}[/tex]

Now simplify [tex]4\sqrt{8}[/tex] :

[tex]4\sqrt{8}\\\\4\sqrt{4}\sqrt{2} \\\\4*2\sqrt{2}\\\\8\sqrt{2}[/tex]

Insert both into expression:

[tex]\frac{80\sqrt{10}}{8\sqrt{2}}[/tex]

Simplify:

[tex]\frac{10\sqrt{10}}{\sqrt{2}}[/tex]

Rationalize:

[tex]\frac{\sqrt{2}}{\sqrt{2}}*\frac{10\sqrt{10}}{\sqrt{2}}\\\\\frac{10\sqrt{20}}{\sqrt{4}}\\\\\frac{10\sqrt{20} }{2}[/tex]

Simplify:

[tex]5\sqrt{20}[/tex]

Convert to simplest radical form:

[tex]5\sqrt{4*5} \\\\5\sqrt{4}\sqrt{5}\\\\5*2\sqrt{5}\\\\10\sqrt{5}[/tex]

:Done

During the 1920's there was an overproduction of consumer goods. What happened to the price of goods when demand did not increase?

Prices Increased
Prices decreased
Prices Skyrocketed
Prices stayed the same

Answers

Answer:

Prices decreased

Step-by-step explanation:

What happened to the price of goods when demand did not increase is prices decreased.

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = x squared + 7 x

Answers

Answer:

a=1, b= 7, c=0

Opens upward since a is positive(meaning it has a minimum vertex)

Y-int: (0,0)

Step-by-step explanation:

y=[tex]x^{2}[/tex]+7x

In order to find, the y-intercept, x has to be 0, so plug in 0 for x

y=[tex]0^{2}[/tex]+7(0)

y=0

So the y intercept: (0,0)

The equation form a parabola that opens up and the y intercept is at y = 0. a = 1, b = 7 and c = 0

What is a quadratic function?

A quadratic function is in the form:

y = ax² + bx + c

Given that:

y = x² + 7x, hence:

a = 1, b = 7 and c = 0

The equation form a parabola that opens up and the y intercept is at y = 0.

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