Please help!
Are the expressions –0.5(3x + 5) and
–1.5x + 2.5 equivalent? Explain why or why not.

Answers

Answer 1

Answer:

We can check this two ways: distributing the -0.5, and plugging in a number for x.

First, we can check this by distributing the -0.5.  Our equation becomes:

-1.5x -2.5 = -1.5x + 2.5

Clearly, this is not true.  We can show this one more time by plugging in a number for x.  I will use 2.

Now, we evaluate both sides and see if they are equal.

-3 - 2.5 = -3 + 2.5

-5.5 = 0.5

Clearly, this is not true.  These expressions are not equivalent.

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:   Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.


Related Questions

Find the length of the segment...

NEED HELP FOR A TEST tomorrow

Answers

Answer:

The length of the segment is 5

6 - 8x = 6x - 9x + 11

Answers

6-8x=-3x+11

-8x+3x=11-6

-5x=5

x=-1

The first step is to isolate the variable, then you solve. Hope this helps, brainliest if you can.

Answer:

hi

Step-by-step explanation:

hi i am a gamergirl add me in fortnite xxgamergilxx93_qt

Find the area of a rectangle with length of 80 inches and width of 17 inches.

Answers

Answer:

                                 

Step-by-step explanation:

Answer:

length times width

Step-by-step explanation:

80 time 17~

BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How
many cups of sliced apples are needed to make 4 apple pies?

Answers

Answer:

24 cups of sliced apples

Step-by-step explanation:

6 multiplied by 4=24

hope this helps

find the equation of the line that has the given slope and passes through the given point. write the equation in the slope intercept form. m=2 (5,4)

Answers

Answer:

y = 2x - 6

Step-by-step explanation:

Use the slope-intercept form of the equation of a line.

y = mx + b

y = 2x + b

4 = 2(5) + b

4 = 10 + b

b = -6

y = 2x - 6

HELP ASAP!!!!!!!!!!!!!!

Answers

Answer: is it a function-yes

why: none of the y values are the same

Step-by-step explanation:

1. yes , the x values aren’t the same, domain (10,-2,5,4) , range (7,4,3,10)
2. yes , the x values differ, domain (-3,-1,0,1,3), range (3,1,0,1,4)

Given (-1, -8) & m=2
write the corresponding equation in SLOPE-INTERCEPT FORM (No caps, no spaces)​

Answers

Answer:

y=2x+15

Step-by-step explanation:

just count from (-1,8) to get y intercept


Choose another name for plane s look at the picture for the full answer thank you for helping!

Answers

Answer:

c: plane ptm

Step-by-step explanation:

need help with promblem​

Answers

Vertically opposites I believe is the answer

Four times the sum of f and g is identical to six times g

Answers

Answer:

4(f+g)=6g

Step-by-step explanation:

4(f+g)=6g

g If a snowball melts so that its surface area decreases at a rate of 8 cm 2/min, find the rate at which the diameter decreases when the diameter is 9 cm.

Answers

Step-by-step explanation:

The snowball is spherical in nature

The total surface area of the ball = 4πr²

Or 4π(d/2)²

S = 4πd²/4

S = πd²

d is the diameter of the ball

The rate at which the area is decreasing is expressed as;

dS/dt = dS/dd • dd/dt

dd/dt is the rate at which the diameter is decreasing

dS/dd = 2πd

dS/dt = 2πd • dd/dt

dS/dt = 2π(9) • dd/dt

8 = 18π•dd/dt

dd/dt = 8/18π

dd/dt = 4/9(3.14)

dd/dt = 4/28.26

dd/dt = 0.1415cm/min

Hence the diameter is decreasing at the rate of 0.1415cm/min

Una partícula se mueve sobre el eje x de acuerdo con la ecuación del movimiento
s=f(t) donde s es la distancia dirigida al origen en pies a los t segundos.
a) La velocidad v(t) y la aceleración a(t) en el instante t.
b) El instante t en el que la velocidad es cero.
s= 6t-t²
s=t²-6t
s= t²-9t+24

Answers

Answer:

a)

s= 6t-t² -->  v = 6 -2t  --> a = -2

s=t²-6t  --> v = 2t-6       -->    a = 2

s= t²-9t+24  -->  v = 2t -9   -->  a = 2

b)

v = 6 -2t  = 0  --> t = 3

v = 2t-6  = 0   --> t = 3

v = 2t -9   = 0 --> t = 9/2

Step-by-step explanation:

si s(t) es la distancia, la velocidad es la primera derivada v(t) = s'(t)

y la acceleracion es la segunda derivada : a(t)= v'(t) = s''(t)

s= 6t-t² -->  v = 6 -2t  --> a = -2

s=t²-6t  --> v = 2t-6       -->    a = 2

s= t²-9t+24  -->  v = 2t -9   -->  a = 2

The width of a rectangle
is 11 feet longer than the
length. The perimeter of the
rectangle is 70 feet. Find
the length and the width

Answers

Answer:

Hello! The answer to this problem is Length= 27 and Width= 8

Step-by-step explanation:

2(11+2x) +2x = 70

6x + 22 = 70

6x = 48

x = 8

Which of the following is a true statement 68/5 - 22/5 = 9 1/5

Please somebody awnser

Answers

Answer:

The answer is D

Step-by-step explanation:

I took the test and got it right <3

Answer: The first question in the selection is correct!

Step-by-step explanation:

the next model of a sports car will cost 6.8% less than the current model. the current model costs $42,000. how much will the price decrease in dollars? what will be the price of the next model?

Answers

Answer:

see below

Step-by-step explanation:

the current model costs $42,000.

next model = 6.8% less than $42,000

find;

1. how much will the price decrease in dollars?

2. what will be the price of the next model?

solution:

1. the price decrease = $42,000 x 0.068

                               = $2,856

2. price of next model = $42,000 - $2,856

                                = $39,144

what ratio is lesa than 7/15​

Answers

Answer:

2/5=6/15 and that is less so....

Step-by-step explanation:


A line passes through the point (-9,8) and has a slope of
-4/3
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = -4/3x - 4

Step-by-step explanation:

Given

(x1,y1) = (-9,8)

slope, m = -4/3

Required

Determine the line equation

The equation is of the form

y - y1 = m(x - x1)

Substitute values for y1, x1 and m

y - 8 = -4/3(x - (-9))

y - 8 = -4/3(x + 9)

y - 8 = -4/3x - 12

y = -4/3x - 12 + 8

y = -4/3x - 4

f(x) = 2x^3 g(x) = x-3

find f(2)
find g(4)
find (f+g) (x)

Answers

[tex]f(x) = 2 {x}^{3} [/tex]

[tex]f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 [/tex]

_________________________________

[tex]g(x) = x - 3[/tex]

[tex]g(4) = 4 - 3 = 1[/tex]

_________________________________

[tex](f + g)(x) = f(x) + g(x) [/tex]

[tex](f + g)(x) = 2 {x}^{3} + x - 3 [/tex]

_________________________________

Done...♥️♥️♥️♥️♥️

Suppose you have a 6-face unfair dice with numbers 1,2,3,4,5,6 on each of its faces. If the probability distribution of throwing a number up is as follows: 1 with probability 1/12 2 with probability 1/12 3 with probability 1/12 4 with probability 1/12 5 with probability 1/12 6 with probability 7/12 What are the mathematical expectation and variance of the dice based on the above probability distribution

Answers

Answer:

Expectation is equal to 4.75

Variance is equal to 3.02

Step-by-step explanation:

Consider the attached image.

Let [tex]x_i[/tex] denotes each of the outcome.

Expectation [tex]=E(X)[/tex] = ∑[tex]x_if(x_i)[/tex]

[tex]=1(\frac{1}{12}) +2(\frac{1}{12}) +3(\frac{1}{12}) +4(\frac{1}{12}) +5(\frac{1}{12}) +6(\frac{7}{12})[/tex]

[tex]=\frac{1}{12}+\frac{2}{12}+\frac{3}{12}+\frac{4}{12}+\frac{5}{12}+\frac{42}{12}\\\\=\frac{57}{12}\\\\=4.75[/tex]

[tex]E(X^2)=[/tex] ∑ [tex]x_i^2f(x_i)[/tex]

[tex]=1^2(\frac{1}{12}) +2^2(\frac{1}{12}) +3^2(\frac{1}{12}) +4^2(\frac{1}{12}) +5^2(\frac{1}{12}) +6^2(\frac{7}{12})[/tex]

[tex]=(\frac{1}{12}) +4(\frac{1}{12}) +9(\frac{1}{12}) +16(\frac{1}{12}) +25(\frac{1}{12}) +36(\frac{7}{12})\\\\=\frac{307}{12}[/tex]

Variance  [tex]=E(X^2)-[E(X)]^2[/tex]

[tex]=(\frac{307}{12})-(\frac{57}{12})^2\\\\ =\frac{307}{12}-\frac{3249}{144}\\\\ =\frac{3684-3249}{144}\\\\ =\frac{435}{144}\\\\ =3.02[/tex]

The science teacher gives daily homework. For a random sample of days throughout the year, the median number of problems is 5 and the IQR is 2. The Spanish teacher also gives daily homework. For a random sample of days throughout the year, the median number of problems is 10 and the IQR is 1. If you estimate the median number of science homework problems to be 5 and the median number of Spanish problems to be 10, which is more likely to be accurate? Explain your reasoning.

Answers

Answer:

SCIENCE SEEMS MORE ACCURATE

Step-by-step explanation:

The interquartile range (IQR) = difference between the upper and lower quartile (Q3 - Q1)

The median can be estimated as :

(Q3 - IQR/2) or (Q1 + IQR/2).

FOR SCIENCE:

MEDIAN NUMBER = 5

IQR = 2

IQR = Q3 - Q1

Q3 = median + IQR/ 2 = 5 + 2/2 = 6

Q1 = median - IQR/2 = 5 - 2/2 = 4

FOR SPANISH:

MEDIAN = 10

IQR = 1

IQR = Q3 - Q1

Q3 = median + IQR/ 2 = 10 + 1/2 = 10.5

Q1 = median - IQR/2 = 10 - 1/2 = 9.5

Science has a lower median score and an interquartile range which is reasonable wider than Spanish with a larger median value (but a very narrow interquartile range).

Help please thanks :)

Answers

Answer:

the answer is part 3 : exactly 30 .....

The answer 3 : exactly 30..

Suppose that a regression line for some data transformed with logarithms predicts that when x equals 8, will equal 1.603. What does the regression line predict y will equal when x equals 8? Round your answer to the nearest whole number. A. 2 B. 40 C. 13 D. 28

Answers

Answer:40

Step-by-step explanation:

Answer:

B. 40

Step-by-step explanation:

aapeexxxxxab

Please help!!!
thanks

Answers

Answer:

11. 92- corresponding angles theorem

12. 92- vertical angles theorem

13. 88- ???

14. 106- same side interior angles theorem

15. 106- supplementary angles theorem (not sure about the reasoning)

16. 106- supplementary angles theorem (not sure about the reasoning)

Find the missing angles.

Answers

Answer:

150

Step-by-step explanation:

Amy is having her birthday party at a roller skating rink. The rink charges a fee of $50 plus $8 per person. If Amy wants to spend at the most $170 for the party at the rink, how many people can she invite to her party? Write a let x statement, an inequality and solve.

Answers

Answer:

(170 - 50)/8 = X

Step-by-step explanation:

X = amount of people

(170 - 50)/8 = X

Inequality

X = Number of People

50+(8*X) [tex]\leq[/tex] 170

The x statement is x ≤ 15. An inference is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.

What is meant by inequality?Inequality the state of not being equal, particularly in status, rights, and opportunities1 is central to social justice theories. However, it is prone to misunderstanding in public debate because it means different things to different people. Some distinctions, however, are universal. A solution to an inequality in x is a number that, when substituted for x, yields a true statement. So, for example, 4 is a solution, whereas 8 is not. An inequality's solution set is the set of all solutions.The expression 5x 4 > 2x + 3 resembles an equation, but the equals sign has been replaced by an arrowhead. It's an example of inequity.

Therefore,

(170 - 50)/8 = X

X = Number of People Over 50 (170 - 50)/8 = X

Inequality (8 × X) ≤ 170

An inequality is a statement that expresses the relationship between two (or more) expressions using one of the five signs listed below.

To learn more about inequality, refer to:

https://brainly.com/question/24372553

#SPJ2

Eight more than the quotient of thirty and a number is fourteen.

Answers

Answer:

The number is 5

Step-by-step explanation:

First, we turn words into an equation(using x as the unknown number). Then, we solve for x.

[tex]\frac{30}{x} +8=14\\\frac{30}{x}=6\\30=6x\\5=x[/tex]

What the area of 149m and 76m

Answers

Answer:

11324

Step-by-step explanation:

Area= B x H so 149 x 76= 11324

Answer:

The perimeter is 550 meters.

Step-by-step explanation:

The critical path for a project was found to be 37 days. The variances total 27. What is probability of completing in 43 days? Below is information that might be useful to answer the question. Answer to 2 decimal points

Answers

Answer:

0.1241.

Step-by-step explanation:

So, from the question we are given the following parameters or information or data which are going to help us in solving this particular question/problem. They are; [1]. The critical path for a project = 37 days, the variances total or variance of critical path or sum of variance on critical path]². = 27, the desired completion time/day = 43 days.

So, we will be making use of the formula given below;

The number of standard deviation = desired completion time/day - critical time or sum of critical path times ÷√[variance of critical path or sum of variance on critical path]².

The number of standard deviation = 43 - 37 ÷ √27 = 1.1547.

Thus, the probability of completing in 43 days = P(Z > 1.1547) = 0.1241.

Kai needs a car to get to work and school. He's decided on a used car with a cost of $12,000. According to his budget he can afford to pay up to $300 per month and car payments. Which loan offer is best for Kai?

Answers

Answer:

The answer is Offer 3 because it has the lowest total loan cost of the offers with a monthly payment in his budget

Answer: c, offer 3

Step-by-step explanation: just did the quiz

translate the sentence into an equation

The sum of 6 times a number and 2 is equal to 3

Answers

Answer:

6x + 2 = 3

Step-by-step explanation:

x would represent the unknown number

The sum refers to addition

6 times a number would be 6x (you can use any variable, but for this example I'm using x)

When you put it all together, it is 6x + 2 = 3

The required equation is 6x + 2 = 3.

It is required to find the equation.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers

Given:

The sum of 6 times a number and 2 equals 3.

According to given question we have,

Let the number be x.

6 times a number would be

6x

The sum of 6 times a number and 2 equals 3.

6x + 2 = 3.

Therefore, the required equation is 6x + 2 = 3.

Learn more about equation here:

brainly.com/question/18760193

#SPJ2

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