Are the expressions shown below equivalent?
(3x+9)(x+2)
(3x + 6)(x+3)
Justify/Explain your answer in two different ways.

(Algebra 1) Please help!

Answers

Answer 1

Answer:

Yes, the expressions are equivalent.

Step-by-step explanation:

Expanding (3x + 9)(x + 2) gives us [tex]3x^2 + 15x + 18[/tex] which is the same as when you expand (3x + 6)(x + 3).

Answer 2

Answer:

(3x+9)(x+2)

step:3xx+3x2+9x+9x2

3x2+6x+9x+9x2

answer is 3x2+15x+18

step:3xx+3x3+6x+6x3

3x2+6x+6x3

answer is 3x2+15x+18

Step-by-step explanation:

#Carry on learning#


Related Questions

A movie theater charges 9.00 for adults and $3.00 for senior citizens. On a day when 306 people paid for admission, the total receipts were $1554. How many who
paid were adults? How many were Seniors?

Answers

Answer: 2495

Step-by-step explanation:

9x + 7(325)-7x = 2495

    2x = 220

     x = 110 adults  and 215  senior citizens

CHECKING our answer***

$990 + $1505 = $2495

Wish You the Best in your Studies.

Multiply
2n(-5n +2y-c)

2b² (3a – 5b +8c)​

Answers

Answer:

thats the answer

Step-by-step explanation:

Answer:

1) =  -10n^2 + 4ny -2nc

2) = 6b^2a-10b^3+16b^2c

Step-by-step explanation:

Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10
meters past the starting line. Chana skated 3 meters per second and Josiah skated 2 meters per second.
Here's a graph that shows a system of equations for this scenario where x is the number of seconds since
Chana and Josiah started skating and y is the distance in meters from the starting line.

Answers

Answer:

josiahs distance from the starting line at a time when shes behind josiah

Step-by-step explanation: got it right in khan

The correct statement according to scenario

Josiah's distance from the starting line at a time when he is behind Chana.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

Josiah's head start = 10 meters from the start

Josiah's speed = 2 m/s

Chana's speed = 3 m/s

Now, the distance travelled as

D= d x s+ t

For Josiah, we have;

D = 10 + 2•t (line a)

For Chana, we have;

D = 0 + 3•t = 3•t (line b)

Thus, Josiah's distance from the starting line at a time when he is behind Chana.

Learn more about Equation here:

https://brainly.com/question/28033985

#SPJ3

The piecewise function h(x) is shown on the graph.
What is the value of h(3)?
-2
ch
0-1
0 1
02
2.
-5 4 -3 -2 -14
2 3 4 5 x
-2
2
-3
-5

Answers

Answer:

1

Step-by-step explanation:

Let's say we have y=f (x)

It denotes the y value that corresponds to x.

When x=3, we can see from the graph that

The matching y value for x=3 =1

As a result, h(3)=1

The value of h(3) can be estimated from the piecewise function curve is 1. so option c is correct.

What is piecewise function?

A function that is composed of several smaller functions, each with a distinct domain, is said to be piecewise. The term "piecewise" refers to the way in which these sub-functions are defined in terms of various intervals or "pieces" of the function's overall domain.

Given that,

The graph of the piecewise function

The function is divided into two piece

Interval-1     x ∈ [-4, -1)

Interval-2   x ∈  [-1, 4]

The value of the function when x  is equal to 3,

In the graph it is clearly mention that for x =3

the output value of the function is 1

Hence, the output value is 1

To know more about piecewise function check:

https://brainly.com/question/12561612

#SPJ5

Amy joined a gym with a $77 enrollment fee. The equation below can be used to find the total Amy has paid, y, if she has belonged to the gym for x months.

y = 44x + 77

What does the 44 represent in the equation?
A.
the amount for x months of membership
B.
the cost to join
C.
the number of months of membership
D.
the monthly dues

answer
the monthly dues

Answers

Answer:

44 represents months

x*y

$77

x

x*y

a thousand dollars is left in a credit union drawing 7% compounded monthly. what is the balance at the end of 10 years​

Answers

Answer:

$9400

Step-by-step explanation:

You start with $1000 and get 7% more every month.

7% of 1000 is 70 so that means $70 is added to the credit union each month.

So you add $70 dollar to $1000 for every month there is which would be 12 months timers the ten years:

1000 + (70 x 12 x 10) = 9400

Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 'of an inch, it is 4 3/4 'inches.
a) What is the largest the actual height the plant could be?
b) What is the smallest the actual height the plant could be?
c) How large could the percent error in Jada’s measurement be?

Answers

Answer:

See below.

Step-by-step explanation:

a) 4 7/8 inches

b) 4 5/8 inches

c) 12.5%



What expression is equivalent to (x^4/3 x^2/3) ^1/3

Answers

Answer:

(x^4/3x^2/3)^1/3

using the power of powers rule  (multiply the exponents)

x^(4/3*1/3)  x^(2/3* 1/3)

x^ (4/9)  ( x^ 2/9)

when multiply exponents, add

x^ (4/9 + 2/9)

x^ (6/9)

x^ (2/3)

Which graph represents an exponential function?

Answers

Answer:The function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

What are exponential functions?

The exponential functions are written in the form of y = aeᵇˣ, where the output y increases exponentially for the input x.

In order to find the graph that represents an exponential function, we will discuss each of the following graphs,

For the 1st graph, (Black),

In the first graph, the graph is of a parabola, and the function which represents this kind of graph is a quadratic equation, therefore, this graph represents a parabolic equation. It is given by the function,

y=ax²+bx+c or y=a(x-h)²+k

For the 2nd graph, (Red),

In the second graph, the graph represented is the graph of a reciprocal function, the function that can be represented by the graph,

y=a/x + b

For the 3rd graph, (Blue),

In the third graph, the graph represented is the graph of root function, it can be modeled as,

y = a+√(x+b)

For the 4th graph, (Green),

In the fourth graph, the graph represented is the graph of an exponential function, and it can be modeled as,

y = aeᵇˣ

Hence, the function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

Step-by-step explanation:

could someone explain to me how to multiple/divide equations in scientific notation im super confused :(

Answers

Hi you can change the scientific notation to standard notation. Then go from there

50 points!!

Solve |y + 2|>6

A. {y|y<-8 or y>4}

B. {y|y<-6 or y>6}

C. {y|y<-4 or y>4}

Answers

Answer:

[tex]y < -8[/tex]

[tex]y > 4[/tex]

Step-by-step explanation:

Absolute Value Inequality entered :

     |y+2|>6

Step by step solution :
Step 1: Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered

     |y+2| > 6

Step 2: Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |y+2|

For the Negative case we'll use -(y+2)

For the Positive case we'll use (y+2)

Step 3: Solve the Negative Case

     -(y+2) > 6

    Multiply

     -y-2 > 6

    Rearrange and Add up

     -y > 8

    Multiply both sides by (-1)

    Remember to flip the inequality sign

     y < -8

    Which is the solution for the Negative Case

Step 4: Solve the Positive Case

     (y+2) > 6

    Rearrange and Add up

     y > 4

    Which is the solution for the Positive Case

Step 5:

Wrap up the solution

 y < -8

 y > 4

Solutions in Interval Notation

   (-∞,-8)

   (4,+∞)

Solutions on the Number Line

 

Two solutions were found :

 y > 4

 y < -8

8. Anita recorded the amount of rainfall in
her area each day for 14 days. What was
the total amount of rainfall in the 14 days?
A 40 cm
B 36 cm
C 13.5 cm
D 12.5 cm

Answers

How to determine the total amount of rainfall

From the dot plot, we have the following frequency table

Rainfall    Frequency

0                  4

1/8               5

1/4               1

3/8              2

1/2               1

1 1/4             1

= 3/8 inches

Solve for x.

x−9=−524

Enter your answer as a mixed number in simplest form by filling in the boxes.

x = $$

Answers

X is equal to 515 that’s the correct answer after collecting like terms

Answer:

The answer is 1 7/8

Step-by-step explanation:

I did the test. Screenshot here;

Hope this helps!

Among all rectangles that have a perimeter of 188, find the dimensions of the one whose area is largest.

Answers

Always add them all around and then divide the two and you should get the correct answer

MATH
NATION
Question 6 of 10
< PREVIOUS QUESTION
A cup is 6.4 cm tall, not including a 0.6 cm lip. Cups are stacked inside one another. You may want to draw a diagram t
you see how the height of the stack of cups increases. Select the function that represents the height of a stack of cups
terms of the number of cups in the stack.

Answers

Answer:

If you ever need help on a question and you don’t know the answer just remember this quote “ purple is always the answer”.

Step-by-step explanation: Hope this helps u!

11. Maria's age is 3 years more than twice George's age. Which expression represents George's age in terms of Maria's?

Answers

Answer:

C

Step-by-step explanation:

Okay, the catch of this question is that they do a very good job of explaining Maria's age in terms of George's age, but they leave George's age in terms of Maria's all up to you.

First start off by doing an expression of what they explicitly give you. Maria's age in terms of George's age.

Let's use variables g, representing George's age and m representing Maria's age

m = 2g + 3

Okay, this is all dandy and all, but they ask us for George's age in terms of Maria's, so we need to isolate for g.

subtract the 3 from both sides, like so:

m - 3 = 2g

then divide 2 from both sides: (remember we're dividing the whole thing)

(m-3)/2 = g

Now we have an expression for George's age in terms of Maria's.

g = (m-3)/2 or [tex]g = \frac{m-3}{2}[/tex]

The answer that gives us this, is C.

160° А C B What is the mŁABC ?​

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

By theorem : Angle made by an arc at the centre is double the angle made by the same arc on the circumference part of the circle.

Therefore~

[tex]\qquad \sf  \dashrightarrow \: 2 \times \angle ABC = 160[/tex]

[tex]\qquad \sf  \dashrightarrow \: \angle ABC = 160 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: \angle ABC = 80 \degree[/tex]

I hope you understood ~

PLEASE HELP ME ASAP
PLEASE NO RANDOM ANSWER OR SPAM!!!

Answers

YES IS THE ANSWER BECAUSE X=9

AND 11+3=87

Find the value of each variable in the parallelogram.

Answers

Answer:

h=9

g=61

Step-by-step explanation:

16-h=7

g+4=65

&

Opposite angles and sides are equal in a paralleogram

g+4=65g=65-4g=61

Amd

16-h=7h=16-7h=9

Why would it
be better to measure the length of your classroom with
meterstick instead of a centimeter ruler?

Answers

Answer:

Meterstick

Step-by-step explanation: A standard classroom is basically just a large open room, no rooms. So it is more straight than it is curved, and if you can cover a larger area in a shorter time, it is more effecient.

Find the larger solution of the exponential
equation
2^x^2= 4^3x

Answers

Answer:The larger solution is 6

Step-by-step explanation:

The ratio of blue jays to Robin's was 6 to 7. If there were 84 Robins, how many blue jays were there?​

Answers

Answer:

72

Step-by-step explanation:

Since the ratio of blue jays to robin's was 6 to 7 then if there were 84 robins how many blue jays were there.

6 to 7 can also be express as 6/7

Thus, we can set up a proportion

6/7 = x/84

Now, we have to solve for x

x = 72

Hence, if there were 84 robin there would be 72 blue jays.

~lenvy~

4² - 5² × 2³ what is the value of the expression.

Answers

[tex]4 {}^{2} - 5 {}^{2} \times 2 {}^{3} [/tex]

[tex]16 - 25 \times 8[/tex]

[tex]16 - 200[/tex]

[tex] - 184[/tex]

Hello!

Let's evaluate this expression.

4²-5²×2³

4²=16

16-5²×2³

5²=25

16-25×2³

2³=8

16-25×8

According to PEMDAS, the next operation is multiplication (M)

16-200

Subtract:

-184

Hence, the simplified expression is equal to

[tex]\boxed{\boxed{\bold{-184}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

EXPLAIN AND SOLVE THE EQUATION

Answers

Answer:

1st answer: 61000+(X-1) x 700

2nd answer: 64500

Step-by-step explanation:

Since it says the population increases linearly, which means by the same amount, it is an arithmetic progression. So the formula to find a term in arithmetic progression is [tex]T_{n}[/tex]=a + ( n - 1 ) x d , where a is the first term, n is number of terms, and d is common difference. So now just put the values in the equation, where 61000 is a, x is n and d is 700. To find second answer put 6 in place of n as it says from 2003 to 2009 which is 6 years later.

The answer is 64500. Hopefully that helps

Find m<1 -will mark brainly

Answers

Answer:

50°

Step-by-step explanation:

90-40= 50° ............

TRUE or FALSE? The only difference between involuntary manslaughter and voluntary manslaughter is reckless conduct

Answers

Answer:

Yeah?

Step-by-step explanation:

dunno if this is and actual school related question but to me, yeah thats the only difference cuz the meaning of involuntary manslaughter is death thru recklessness/something close to that

Solve the inequality 46 > y + 11

Answers

Answer:

Inequality Form:

y<35

Interval Notation:

(−∞,35)

Answer:

y is smaller than 34 or less

Step-by-step explanation:

put the 11 to the other side and make it a negative then you get 46-11=35 than it says 35>y

What is the length of BC?
24
36
48
30

Answers

Answer:

48/24

Step-by-step explanation:

You didn't say which one is line BC so I'm going to give you the answer 48 for the entire line but if you are asking for the middle point to end point then it is 24.

. Gemma plans to run 5 miles her first week and increase the amount she runs each week by 20% Which of the following is closest to the total distance Genna has run after 10 weeks.

A: 115 miles. B: 130 miles

C: 138 miles. D: 145 miles​

Answers

the answer is obviously D because of the amout of miles ran each week

If it’s 5 pm what time will it be in 27 hours

Answers

Answer:

8:00 PM

Note that any blue dots represent a new day.

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