State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
then 4(2y+1) + 9 = 15.
Distributive Property
Multiplication Property of Equality
Transitive Property of Equality
Substitution Property of Equality

Answers

Answer 1

Answer:

Substitution property of equality

Step-by-step explanation:

Given

[tex]4x + 9 = 15[/tex] and [tex]x = 2y + 1[/tex]

Then

[tex]4(2y + 1) + 9 = 15[/tex]

Required

State the property

From the list of options, (d) answers the question.

This is so because:

Substitution property of equality states that

If [tex]a = b[/tex] then [tex]b = a[/tex]

In other words, both can replace one another.

So if [tex]x = 2y + 1[/tex], then 2y + 1 can be substituted for x in [tex]4x + 9 = 15[/tex]

So:

[tex]4x + 9 = 15[/tex]  becomes

[tex]4(2y + 1) + 9 = 15[/tex]

Hence, it is substitution property of equality


Related Questions


Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46

Answers

[tex]f(x)=2x^2+6x-4[/tex]

Find the f(-5) by substituting x = -5 in the equation.

[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]

Therefore, the answer is f(-5) = 16.

Karina needs a total of $45 to buy her mother a birthday present. She has saved 20% of the amount so far. How much has she saved

Answers

Answer:

$9.00

Step-by-step explanation:

$45.00x20%=9

Answer:

$9

Step-by-step explanation:

$45 X .2 = $9

How many solutions does the equation 24x-22=-4(1-6x) have?

Answers

Answer:

43

Step-by-step explanation:

just trust me

there are no solutions.

PLZZZZZ HELP MEEEEEEEE

Answers

Answer:

i am confused

Step-by-step explanation:

the bits on it is not that good to look at

What is the vertex of the equation f(x)=-4(x+2)^2+1

Answers

Answer: (-2,1)

Step-by-step explanation:

Step-by-step explanation:

and then we will have access you to get the information you want to cry because you have to be around and he said why he was about the feudal of his heart is the only way he could get his life back to

Solve the problem.

A used car is for sale for $8,950. If Jenny will pay for the car over a 5-year period, what will be her monthly payment, to the nearest dollar?

$149/month
$3,729/month
$1,790/month
$60/month

Answers

Answer:

60 months = $8950

l month = ?

8950÷ 60

= $ 149 per month


Which point represents 27 on the graph?

O Point A
O Point C
O Point D
O Point E

Answers

Point c

It is just past the 2 mark

Let tk be the number of ways to choose k beads from a drawer that contains 10 red beads, 8 blue beads, and 11 green beads. Find the generating function for the sequence {tk} 29 k = 0. Do not find a formula for tk.

Answers

Answer:

[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]

Step-by-step explanation:

From the given information;

The total number of beads  = 10 + 8 + 11 = 29

To choose k beads out 29 beads, let assume that [tex]t_k[/tex] be the no. such that:

[tex]t_k = ( ^{29}_{k}) \ \ \ where; k =0,1,2,3,....,29[/tex]

The sequence [tex]\{ t_k\}^{29}_{k=0} = (^{29}_{k})[/tex]

The generating function for [tex]\{ a_k \}^n_{k=0}[/tex] is:

[tex]G(x) = a_o +a_1x +a_2x^2 +...+a_nx^n[/tex]

[tex]G(x) = \sum \limits ^{n}_{k=0} \ a_k x^k[/tex]

For the sequence above;

[tex]G(x) = \sum \limits ^{29}_{k =0 } (^{29}_{k}) x^k[/tex]

By applying binomial series [tex](1+x)^n = \sum \limits ^n_{k=0} ( ^n_k) x^k[/tex]

Thus:

[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]

Divide. 5,346 ÷ 29 Enter your answer in the boxes as a mixed number in simplest form.

Answers

Answer:

[tex]190\frac{26}{29}[/tex]

Step-by-step explanation:

____190__

29 | 5346

     -29 (29*100=2900)

________

      2446

     -232 (29*90=232)

________

           26

Therefore, the answer is [tex]190\frac{26}{29}[/tex]

In the mixed form we can write → 5346 ÷ 29  as  [tex]$184\frac{10}{29} .\\[/tex]

We have the following operation -

5346 ÷ 29

We have to write the result of above division in mixed form.

What is Division Algorithm ?

The division algorithm says when a number 'a' is divided by a number 'b' gives the quotient 'q' and the remainder 'r' then the following relation exists-

a = bq + r

where 0 ≤ r < b.

This is also known as Euclid's division lemma.

According to the question, we have -

5346 ÷ 29

Let A = 5346 ÷ 29. Therefore -

A = [tex]$\frac{5346}{29} = 184\frac{10}{29} .\\[/tex]

Hence, in the mixed form we can write → 5346 ÷ 29  as  [tex]$184\frac{10}{29} .\\[/tex]

To solve more questions on Mixed numbers, visit the link below-

brainly.com/question/2753661

#SPJ2

A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the slope of the regression line?

A:For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
B;For each increase in number of procrastination days by 1, the predicted grade decreases by 96.5 points.
C;For each increase in grade by 1 point, the predicted number of procrastination days decreases by 96.5 days.
D:For each increase in grade by 1 point, the predicted number of procrastination days decreases by 3.64 days.

Answers

Answer:

A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.

Step-by-step explanation:

The slope of a Regression Line

A straight line can be represented in the slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope describes how fast and in what direction the graph goes when x changes values.

If m is positive, increments in x imply increments in y.

If m is negative, increments in x imply decrements in y.

The regression line is:

ŷ = –3.64x + 96.5

Where:

x = the number of procrastination days

ŷ = the predicted grade

We can say the slope is m=-3.64. This means that:

A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.

Pretty sure the guy above me is right, although I have not checked on edge.

(A) For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.

kinda sucks how theres nothing for stats on here but i hope to help a little =================================

if you're looking for "What is the predicted grade of a student who procrastinated for 2 days?" as-well, the answer for that seperate question is (C) 89.22 .

=================================

ED2021

what is the sum
of the sides

Answers

Answer:

haha you thought

Step-by-step explanation:

you got baited kid

Answer:

14-032093ooooooo345034844939530985088888xbfb990822

Step-by-step explanation:

wakeupwakeupwakeupwakupwakeupwakeupwakeup

What is 20x - y = -40 in
slope-intercept form?

Answers

Answer:

y=20x+40

Step-by-step explanation:

slope-intercept form is y=mx+b. In order to place the equation into such format, you first need to move the 20x to the right, meaning you subtract it from both sides. you are left with -y=-20x-40. Since y cannot be negative or have any coefficient other than positive 1, you divide both sides by -1. -20/-1=20,, -40/-1=40,,-1/-1=1. Therefore, you are left with y=20x+40

The figure shows a line graph and two shaded triangles to find the slope: (picture below)
Which statement about the slope of the line is true? SHOW YOUR WORK. (5 points)

a
The slope of the line is 3.

b
The slope of the line is fraction 1 over 3 .

c
The slope of the line is 1.

d
The slope of the line is 2.

Answers

Answer:

the answer is d because it is

Answer:

D is the slope

Step-by-step explanation:

Joe has to take two quizzes tomorrow. He has only enough time to study for one of them. The science quiz has 6 true or false questions. The english quiz has 4 multiple choice questions.

Answers

Answer:

C) English

Step-by-step explanation:

I don't really know how to explain it, so I'll show you instead.

For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.

So,

0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016

For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.

So,

0.25 x 0.25 x 0.25 x 0.25 = 0.004

They will have to study English (0.004) because it is lower than science (0.016).

The quiz he should study is; English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).

How to find Probability?

We are told that for science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.

Thus;

P(6) = 0.5⁶ = 0.016

We are told that for English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.

Thus; P(4) = 0.25⁴ = 0.004

Thus, we conclude that they will have to study English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).

Read more about Probability at; https://brainly.com/question/251701

#SPJ2

Find the measures of the indicated angles.

Answers

t=62 v=118 w=42 I think

Step-by-step explanation:

first, find the value of angle t

angles of a triangle add up to 180.

with this, we can set up the equation

180 = t + 62 + 56

t = 62

to find angle w, find the sum of the top angles

25 + 56 = 81

again, sum of angles in a triangle adds to 180.

since we have the bottom right angle and the top angle, we can find the bottom left angle

180 = 56 + 62 + w

w = 37

finally we can find angle v

180 = 25 + w + v

180 = 25 + 37 + v

v = 118

another approach would be to find angle v after finding angle t.

because the two angles are supplementary, they add up to 180

angle v + angle w = 180

What are the solutions of this quadratic?

Y=X^2 -2X

Answers

Answer:

this is my answer but it's on you if you think this answer is correct or wrong

Choices would be
x = -0.4

x = 10

x = 2

X = -10

Answers

Answer:

The first one is

The second one is -

The third one is -.

The last one is

Step-by-step explanation:

ALSO I would really appreciate if you could check out our math channel. It is called Evimero Academy                

Thank you so much and have a good day

I need ya help please

Answers

X = 63 because they are complementary angles same degree! :) please mark brainliest

Can someone tell me where to graph this using plots?

Answers

This is where you would plot the graph. Desmos helps a lot too

Simplify the expression:
(-4 + v)(3) - =

Answers

Answer:

-12 + 3v Is the answer

Hope this helps :)

How would I solve this step by step? ​

Answers

Answer:

Step-by-step explanation:

you would add 60 + 90 then subtract it from 180

Answer:

Easy so it's a 90 degree angle so 90 goes at the end.

Example: 3x+60=90

60-60=0

and then 90-60=30

now u have 3x=30

after this u divide by 3

30/3=10

x=10

answer is 10

and also can u plz answer my recent question

PLZ HELP ASAP!!!!!


Which statement is true regarding the graphed function

A. f(0)=g(0)
B. f(-2)=g(-2)
C. f(0)=g(-2)
D. f(-2)=g(0)

Answers

I think it’s B but I’m prolly wrong

2. Which of the following angles are
supplementary to Z2? Select all
that apply.
A 25 B 26 CZ7 D 28

Answers

Question is not clear, I believe some information is missing or you mistyped something..

Anyways supplementary angles are angles that add up to 180.

So you just need to choose the angle that if you add it to z2 (not sure what that is) it will give you a sum of 180.

On the other hand complimentary angles add up to 90.

The difference of ten times a number and three is -13

Answers

Answer:

10n - 3 = -13

Step-by-step explanation:

Can someone explain algebra with a paragraph or sum cuz ion understand

Answers

Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. It is the study of mathematical symbols and the rules for manipulating these symbols

Hope this helps.
:)

3(c+4) what's da answer

Answers

Answer:

c=4

Step-by-step explanation:

3(c+4)

3c+12

c=4

I hope this is correct and have a great day

"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"

Answers

Step-by-step explanation:

[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]

[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]

I need help pleaseeeeeee​

Answers

24 division
24 + 12 = 36 total
24:36 simplify = 2:3
The solution is 2:3

Answer:

1:2

Step-by-step explanation:

Is the equation 2x + 5 = 1 true, false, or open? Explain.

Answers

Answer:

open

Step-by-step explanation:

beacause

2x+5=1

2x=1-5

2x=-4

x=-4/2

x-2 so its open

An open statement is a statement that has an unknown variable

[tex]2x + 5 = 1[/tex] is an open statement

The equation is given as:

[tex]2x + 5 = 1[/tex]

From the equation, we have the following observations.

2, 5 and 1 are constants

x is a variable

Because the equation has a variable (i.e. x), then it is an open statement

Hence, [tex]2x + 5 = 1[/tex] is an open statement

Read more about open statements at:

https://brainly.com/question/11151728

please help me solve

Answers

Answer:

CD

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

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