Name the property of real numbers illustrated by the equation.
-3(x+4)=-3x-12
A. Distributive Property
B. Associative Property of Addition
C. Associative Property of Multiplication
D. Commutative Property of Addition

Answers

Answer 1
A. Distributive Property
Answer 2

Answer:

A. Distributive Property

Step-by-step explanation:

I'm taking the exam right now. :)


Related Questions

I know your smart !!! Who knows this answer ? ❤️

Answers

Answer:

The range is  { -1,3,7,11,15}

Step-by-step explanation:

The range is just the output values

f(-2) = 4(-2) +7 = -8+7 =-1

f(-1) = 4(-1) +7 = -4+7 = 3

f(0)= 4(0) +7 = 7

f(1) = 4(1) + 7 = 11

f(2) = 4(2) +7 = 8+7 = 15

Answer:

The answer is B

Step-by-step explanation:

First you should make a table to explain it better to yourself. Make 2 columns named Domain(Input) and Range(Output). Now put your ordered pair in the range area. Now calculated the function by replacing X with the range. Calculate.

PLEASE HELP WITH GEO!!

Answers

Answer:

10. It is a parallelogram.

11. The parallelogram is a rhombus.

Step-by-step explanation:

10. Use the given sets of congruent segments with congruent vertical angles XNY and WNZ to prove that triangles XNY and ZNW are congruent. Now use CPCTC to show that angles XYN and ZWN are congruent. They are alternate interior angles making sides XY and WZ parallel. Now use CPCTC to show that sides XY and WZ are congruent. Since a quadrilateral has two opposite sides that are both parallel and congruent, the quadrilateral is a parallelogram.

11. A rectangle and a square have 4 right angles. If you add 72 deg and 72 deg, you get 144 deg which is not a right angle. Since one angle of the parallelogram is not a right angle, the parallelogram is not a square or a rectangle.

There are two triangles. Let's look at the upper triangle. The triangle has 2 angles measuring 72 deg each. That means the opposite sides are congruent, and the triangle is isosceles. Since the quadrilateral is a parallelogram, opposite sides are congruent, so all 4 sides are congruent, and the parallelogram is a rhombus.

Answer:

10. It is a parallelogram.

11. The parallelogram is a rhombus.

Step-by-step explanation:

is -4.2778 rational or irrational?

Answers

Answer:

Rational

Step-by-step explanation:

A rational number would be a number or a fraction that has a repeating decimal, or as ones say it ... "terminating decimal".

Kelley ate 3/5 of her brownies on Monday and 6/8 of her brownies Tuesday. If Kelley originally had 2 brownies, what fraction brownie is left over? Simplifty your answer

Answers

Greetings!

Answer:

[tex]\frac{13}{20}[/tex]

Step-by-step explanation:

First, we need to add the two fractions together. To do this we need to make the denominator a factor of both 8 and 5. Easy way to do this is to multiply each fraction by the denominator of the other fraction:

[tex]\frac{3}{5} * 8 = \frac{24}{40}[/tex]

[tex]\frac{6}{8} * 5 = \frac{30}{40}[/tex]

[tex]\frac{24}{40} + \frac{30}{40} = \frac{54}{40}[/tex]

We can also show 2 brownies as [tex]\frac{2}{1}[/tex] or [tex]\frac{80}{40}[/tex]

Now we can subtract the two:

[tex]\frac{80}{40} -  \frac{54}{40} = \frac{26}{40}[/tex]

Simplify the fraction down by dividing by two:

[tex]\frac{13}{20}[/tex]

Which is the fraction of brownie left!


Hope this helps!

The lengths of two sides of a triangle are 26 meters and 46 meters. What is the range of possible lengths for the third side, x of the triangle.

Answers

Hope it helps you out.

A polynomial function has -5√3i as a root. Which of the following must also be a root of the function?

-5-√3i
-5+√3i
5-√3i
5+√3i

Answers

Answer:

-5+√3i  is the given root so -5-√3i  must be the other root

Step-by-step explanation:

We know that complex roots must come in pairs. The pairs are complex conjugates.  (a+bi)  and (a-bi)

You are missing a sign between -5 and the square root

So if - 5+ sqrt(3) i  is a root, then -5 - sqrt(3) i   must be a root  

if -5 - sqrt(3)i   is a root, then -5 + sqrt(3)i   must be a root.


I will assume you missed a + sign

-5+√3i  is the given root so -5-√3i  must be the other root

Answer: is A

Step-by-step explanation:

What percent of 14 is 35

Answers

Answer:

250%

Step-by-step explanation:

First, set the equation.

35/14 x 100% = answer

Simplify.

2.5 x 100 = answer

250 = answer

250% is your answer

~

Answer:

The answer is 2.5

Step-by-step explanation:

14*2.5%=35

Since a math school opened the girls basketball team had the same record every season the team won a total of 182 games while losing only 13 games find the constant of proportionality of wins to loses

Answers

Answer:

11

Step-by-step explanation:

I guess

Look at the model to the right. 3/5 of the whole is shaded. Divide the model into a different number of equal parts to find an equivalent fraction. Complete the equation

Answers

Solution:

[tex]\frac{3}{5}=\frac{6}{10}=\frac{9}{15}[/tex]

Two or more fractions are said to be equivalent , if reduced in lowest terms that is numerator and denominator are co-prime, they are equal.

[tex]\frac{3}{5}[/tex] Three out of five is shaded.

Equivalent fraction of

[tex]\frac{3\times 6}{5\times 6}=\frac{18}{30} \\\\  \frac{3\times 8}{5\times 8}=\frac{24}{40}[/tex]

Answer:

Step-by-step explanation:

Olivia took half a gallon of water on a hike. During the hike, she drank .75 of the water, How much water did she drink

Answers

75% of 0.5 gallons = 75/100 × 0.5 = 0.375 gallons.

Olivia drinks 0.375 gallons of water.

What is problem-solving?

Problem-solving is defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. For example, a trainer may need to figure out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

Calculation:-

Quantity of water Olivia took = half a gallon i.e 0.5 gallons.

Quantity of water Olivia drank =0.75 of 0.5

      ∴  75% of 0.5 gallons

          = 75/100 × 0.5

           = 0.375 gallons.

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What is the equation of the graph below? A graph shows a parabola that opens up and crosses the x axis at negative two and negative four. y = − (x − 3)2 + 1 y = − (x + 3)2 + 1 y = (x − 3)2 − 1 y = (x + 3)2 − 1

Answers

Answer:

[tex]y=(x+3)^{2} -1[/tex]

Step-by-step explanation:

General equation of a parabola that opens up is [tex]y=a(x-h)^{2} +k[/tex] , a>0

So equation becomes [tex]y=(x-h)^{2} +k[/tex] which implies option A and option B can never be true for this parabola.

Also this parabola's vertex lies in 3rd quadrant where coordinates of both x and y will be negative.

So, the equation of parabola will be of the form [tex]y=(x+h)^{2} - k[/tex]

Hence, option 4 that is [tex]y=(x+3)^{2} -1[/tex] is correct.


The correct equation of the graph is: x² + 6x - 35y + 8 = 0.

The equation of the graph shown, which is a parabola that opens upwards and crosses the x-axis at -2 and -4, can be determined by examining its key features.

The fact that the parabola opens upward indicates that the coefficient of the squared term (x²) in the equation must be positive.

The parabola crosses the x-axis at -2 and -4. This means that the two x-intercepts are -2 and -4.

Putting this information together, we can form the equation:

y = a * (x - r1) * (x - r2)

where 'a' is a positive constant (coefficient of x²), and r1 and r2 are the x-intercepts.

Since the x-intercepts are -2 and -4, the equation becomes:

y = a * (x - (-2)) * (x - (-4))

y = a * (x + 2) * (x + 4)

Now, let's find the value of 'a.' We are given that the parabola passes through the point (3, 1). We can substitute these coordinates into the equation to find 'a':

1 = a * (3 + 2) * (3 + 4)

1 = a * 5 * 7

a = 1 / (5 * 7)

a = 1 / 35

Now that we have the value of 'a,' we can finalize the equation:

y = (1/35) * (x + 2) * (x + 4)

Expanding the equation:

y = (1/35) * (x² + 6x + 8)

To put the equation in standard form, we can multiply both sides by 35 to eliminate the fraction:

35y = x^2 + 6x + 8

Finally, rearrange to get the equation in standard form:

x² + 6x - 35y + 8 = 0

So, the correct equation of the graph is: x² + 6x - 35y + 8 = 0.

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(1) Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph.


How many hours did the trip take?


A) 3 hours

B) 6 hours

C) 8 hours

Answers

Answer:

B) 6 hours

Step-by-step explanation:

Let h represent the total trip time. Then h/2 is the time spent traveling at each speed. The distance covered is ...

... distance = speed · time

The sum of the distances in each mode is the total distance.

... 1020 = 55·h/2 +285·h/2

... 2040 = h·(55+285) . . . . multiply by 2

... 2040/340 = h = 6 . . . . . . . divide by the coefficient of h

The trip took a total of 6 hours.

Refer to the table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.

Answers

Answer:

a(n) = 0.55 + (n -5)0.07

Step-by-step explanation:

The cost goes up $0.07 for each additional minute, so that is the slope of the linear function. In point-slope form the equation can be written ...

... a(n) - 0.55 = 0.07(n -5)

adding 0.55, and rearranging slightly, this becomes ...

... a(n) = 0.55 +(n -5)0.07

To play bingo,there is a $10 cover charge plus $2 per bingo card.Write an expression to represent this.

Answers

Answer:

An expression y = 10+ 2x

Step-by-step explanation:

As per the statement: To play bingo,there is a $10 cover charge plus $2 per bingo card.

Let x represents the number of bingo card and y represents cost .

"$2 per bingo card" means 2x

"$10 cover charge plus $2 per bingo card" means 10 + 2x

then,

an expression to represents this statement;

y = 10 + 2x

There are 7 people on a bus each person has 7 backpacks in each backpack there are 7 dogs for every dog there are 7 puppies how many legs are on the bus

Answers

7people×7backpacks each=49 backpacks total
49backpacks×7dogs=343dogs
343dogs×7puppies each=2,401 dogs total
2,401dogs/puppies×4legs each=9,604 legs
7people×2legs each=14 legs
9,604+14=9,618 legs total

Lucy and Ethel’s favorite store was having a sale. Lucy bought 10 shirts and 4 pairs of jeans and spent $280. Sabrina bought 12 shirts and 5 pairs of jeans and spent $344.

Assuming that each shirt was the same price, and each pair of jeans was the same price, how much did each shirt and each pair of jeans cost? Write a system of equations to represent this situation. Then solve for the solution using the elimination method.

Answers

Final answer:

By defining variables for the prices and setting up a system of equations, we determine that each shirt costs $12 and each pair of jeans costs $40 after solving the system using the elimination method.

Explanation:

The subject of this question is a problem involving systems of equations, which falls under the category of Mathematics. We are given a scenario where Lucy and Ethel are buying clothing at the same prices, but in different quantities and we need to determine the cost of each item. First, let's define variables: let s be the price of a shirt and j be the price of a pair of jeans. We then have two equations based on the purchases:

10s + 4j = $280 (Lucy's purchase)12s + 5j = $344 (Sabrina's purchase)

To solve these equations using the elimination method, we will multiply the first equation by 5 and the second by 4 to eliminate the jeans variable:

50s + 20j = $140048s + 20j = $1376

Subtract the second equation from the first:

2s = $24

Now divide by 2 to find the price of one shirt:

s = $12 (price of a shirt)

We can substitute s = $12 into the first original equation to find the price of a pair of jeans:

10(12) + 4j = $280120 + 4j = $2804j = $160j = $40 (price of a pair of jeans)

Quadrilateral ABCD ​ is inscribed in this circle.



What is the measure of angle C?

Answers

Answer:

<C =120

Step-by-step explanation:

Since the figure in inscribed in the circle, <A = <C  and <B = <D

<B= <D

2x-1=3x-59

Subtract 2x from each side

2x-2x-1=3x-2x-59

-1= x-59

Add 59 to each side

-1+59 = x-59+59

58 =x

<A = 2x+4

<A= 2(58) +4

    = 116+4

<A =120

<C = <A

<C =120

By which matrix should you multiply vector [1 3] to rotate it 180°?

Answers

Answer:

B

Step-by-step explanation:

Rotation 180° is accomplished by negating both the x- and y-coordinates. That is, you multiply each of them by -1. You want the opposite of the identity matrix, so matrix B.

We have that the Rotation of matrix [tex]Matrix =\begin{pmatrix}1 \\3\end{pmatrix}[/tex] will be rotated 180 degree if [tex]Matrix =\begin{pmatrix}1 \\3\end{pmatrix}[/tex] is multiplied by [tex]\begin{pmatrix}-1 & 0\\0 & -1\end{pmatrix}[/tex]  

Option D is correct

From the Question we are given

[tex]Matrix =\begin{pmatrix}1 \\3\end{pmatrix}[/tex]

it is important to note that the rotation of the identity matrix  [tex]\begin{pmatrix}1 & 0\\0 & 1\end{pmatrix}[/tex] rotating across the Cartesian co-ordinate is a [tex]180 \textdegree[/tex] is going to give a matrix   [tex]\begin{pmatrix}-1 & 0\\0 & -1\end{pmatrix}[/tex]  

Therefore

The Rotation of matrix [tex]Matrix =\begin{pmatrix}1 \\3\end{pmatrix}[/tex] will be rotated 180 degree if [tex]Matrix =\begin{pmatrix}1 \\3\end{pmatrix}[/tex] is multiplied by [tex]\begin{pmatrix}-1 & 0\\0 & -1\end{pmatrix}[/tex]  

Option D is correct

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Calculate the distance between the points K = −1, −4 and L = −82 in the coordinate plane.
Give an exact answer (not a decimal approximation).

Answers

Answer:

√85

Step-by-step explanation:

The distance formula tells you the distance between (x1, y1) and (x2, y2) is ...

... d = √((x2-x1)^2 +(y2-y1)^2)

For your points (-1, -4) and (-8, 2), the distance is ...

... d = √((-8 -(-1))^2 +(2 -(-4))^2) = √((-7)^2 +6^2) = √(49 +36)

... d = √85

The distance between the two points is √85.

I NEED HELP ASAP
The steps count 4

points for each equation and the solution is 1 point for each. Round the solution to

two decimal places. (10 points)

a. 4x – 5 = 16


b. 35 + 3x – 11 = 2335 + 3x – 11 = 23

Answers

a.4x=16+5
4x=21
x=21/4
x=5.25
b.I am not sure about the question too much as solution for the question above
35+3x-11=2335+3x-11
have no solution but,
for 2335+3x-11=23
3x=23+11-2335
=-2301
x =-2301/3
=-767.00
Final answer:

The solution to the first equation 4x – 5 = 16 is x = 5.25. The solution to the second equation 35 + 3x – 11 = 23 is x = -0.33. Both solutions have been rounded to two decimal places.

Explanation:

Let's solve these two equations one by one:

a. 4x – 5 = 16

Add 5 to both sides of the equation: 4x = 16 + 5 Simplify right side: 4x = 21 Divide both sides by 4 to solve for x: x = 21/4 = 5.25

b. 35 + 3x – 11 = 23

Simplify the left side by combining like terms: 3x + 24 = 23 Subtract 24 from both sides to isolate the term with x: 3x = 23 - 24 Simplify right side: 3x = -1 Divide both sides by 3 to solve for x: x = -1/3 = -0.33

These are the solutions to the equations, rounded to two decimal places.

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A rectangular field is 115 meters long and 70 meters wide. Give the length and width of another rectangular field that has the same perimeter but a larger area

Answers

Final answer:

To find a rectangular field with the same perimeter but a larger area than the original field (115m x 70m), we should search for dimensions that sum up to half of the perimeter (185m) and form a shape closer to a square. An example would be a field measuring 92.5m by 92.5m, which has the same 370m perimeter but a larger area.

Explanation:

You have asked about the length and width of another rectangular field that has the same perimeter but a larger area than a field measuring 115 meters in length and 70 meters in width. To find the dimensions of such a field, we must first calculate the perimeter of the original field.

The formula for the perimeter (P) of a rectangle is P = 2(length + width). Plugging in the given dimensions, we get P = 2(115m + 70m) = 2(185m) = 370 meters. Now we need to find dimensions that add up to half this perimeter, since length + width = P/2, which is 185 meters, but form a rectangle with a larger area.

Area (A) is calculated by the formula A = length x width. To maximize the area for a given perimeter, the rectangle should be closer to a square because a square has the largest area for a given perimeter. Hence, the dimensions we are looking for should be closer to each other compared to the original dimensions of 115m x 70m.

An example of dimensions that meet these criteria would be 92.5 meters by 92.5 meters. Although this results in a square, it fulfills the condition of having the same perimeter (since 2(92.5m + 92.5m) = 370m) but a larger area (92.5m x 92.5m = 8556.25 square meters) than the original rectangular field (115m x 70m = 8050 square meters).

A board is leaning against a vertical wall.

Answers

Answer:

C) 68 in

Step-by-step explanation:

We use sine ratio

= 68 inches

Thank you.

There are 90 girls and 60 boys in the sixth grade at a middle school. Of these students, 19 girls and 11 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?

Answers

Answer:

The percentage of left-handed 6th graders is 20%.

Step-by-step explanation:

To find this, start by finding the total number of lefties.

19 girls + 11 boys = 30 students.

Next find the total number of students

90 girls + 60 boys = 150 students

Now divide the lefties by the total number.

30/150 = 20%

The parent function is f(x)=2^x-1 +3 and the new function is g(x)=2^x+2 +5

How does the graph change from f(x) to g(x)?

Select each correct answer.

Answers

Answer:

B and C

Step-by-step explanation:

There are two ways of looking at this question. You can do it algebraically or you can make a graph that will give you the answer visually.

Graph

I'll try to do both. First the graph. (See below)

The red line is f(x)The blue line is g(x)

The graph tells us that the line is shifted

2 units up (blue is above red) and 3 units to the left (blue is to the left of red)

Algebra.

g(x) = 2^[(x - 1) + 3] + 3 (+ 2)

The rewrite shows that +3 means left. +2 means up.


The summer youth camp is going on an excursion to atlantis Amusement Park. 50% of the 78 students that are going want to go to the Sinking Of Atlantis first.How many students want to visit the sinking of Atlantis first?

Answers

Answer:

78*50/100= 78/2 ( half of 78) = 39

Step-by-step explanation:


LE _____ VO

Choose the relationship symbol to make a true statement.

<
=
>

Answers

the relationship is LE=VO

Answer:

LE > VO

Step-by-step explanation:

This is a short answer, but I assure you that it is 100% correct.

Hope it helps.

A store is having a 15% off sale on all shirts. When Suri checks out, the clerk takes $4.50 off the original price of the shirt. What was the original cost of the shirt? Use the formula to find the answer.

Answers

Answer:

30

Step-by-step explanation:

4.50=15%

30=100%

check;

30*0.85=25.5

30-25.5=4.50

NEED ANSWER ASAP PLEASE!

Answers

Answer:

(-4,-1)

Step-by-step explanation:

The solution to the system of equations is where the two lines cross.

The x coordinate is -4

The y coordinate is -1

After m months the height of a plant is 10 + 3m millimeters. How tall is the plant after 8 months? Three years?

Answers

Answer:

A. 34 millimeters.

B. 118 millimeters.  

Step-by-step explanation:

We have been given that after m months the height of a plant is [tex]10+3m[/tex] millimeters.

To find the height of plant after 8 months we will substitute m=8 in our given expression.

[tex]\text{The height of plant after 8 months}=10+3\times 8[/tex]

[tex]\text{The height of plant after 8 months}=10+24[/tex]

[tex]\text{The height of plant after 8 months}=34[/tex]

Therefore, the height of plant after 8 months will be 34 millimeters.

B. Now let us find height of plant after 3 years.

First of all we will convert 3 years into months by multiplying 3 by 12 as 1 year equals to 12 months.

[tex]\text{3 years}=3*12\text{ months}=36\text{ months}[/tex]

Now let us substitute m=36 in our given expression.

[tex]\text{The height of plant after 36 months}=10+3\times 36[/tex]

[tex]\text{The height of plant after 36 months}=10+108[/tex]

[tex]\text{The height of plant after 36 months}=118[/tex]

Therefore, the height of plant after 3 years (36 months) will be 118 millimeters.

What is an equation of the line that is perpendicular to y=−23x+5 and passes through the point (2, 11) ?

Answers

Answer:

The equation would be y = 1/23x - 251/23

Step-by-step explanation:

To start, you need to locate the slope of the first equation. Since the slope is the coefficient of x, we know it to be -23. Now, the perpendicular slope is the opposite and reciprocal of that, which makes the new slope 1/23.

Now that we have this, we can use the point and the slope in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 11 = 1/23(x - 2)

y - 11 = 1/23x - 2/23

y = 1/23x - 251/23

Answer:

Step-by-step explanation:

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