pressions: Practice
Question 1 of 5
Select the correct answer.
Which expression is equivalent to the given expression?
3(x – 7) + 4(x2 – 2x + 9)

Answers

Answer 1

Answer: 14

Step-by-step explanation: Factoring  x2-2x+9  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  +9  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 9 = 9  

Step-2 : Find two factors of  9  whose sum equals the coefficient of the middle term, which is   -2 .

The first term is,  4x2  its coefficient is  4 .

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  +15  

Step-1 : Multiply the coefficient of the first term by the constant   4 • 15 = 60  

Step-2 : Find two factors of  60  whose sum equals the coefficient of the middle term, which is   -5 .

     -60    +    -1    =    -61  

     -30    +    -2    =    -32  

     -20    +    -3    =    -23  

     -15    +    -4    =    -19  

     -12    +    -5    =    -17  

     -10    +    -6    =    -16  

For tidiness, printing of 18 lines which failed to find two such factors, was suppressed

4x2 - 5x + 15= x=14


Related Questions

Which equations have infinitely many solutions? select all the correct
A x - 3x =-2x + 4
B x = 1/3 (3x) = 0
C 1/3x - 3 = 4 + 2x
D x = 1/3x + 2=0

Answers

Answer:

The answer is A, "x - 3x =-2x + 4"

Step-by-step explanation:

Hope This Helps

Answer:

B and D

Step-by-step explanation:

Which fraction is in simplest form?

​2-10​

​5-12​

​3-6​

​4-8

Answers

Answer:

5/12

Step-by-step explanation:

All of the other answers share at least one factor they can be divided by (the numerator in all cases). 5/12 however shares no factors and cannot be simplified anymore.

5/12 is in simplest form because you can not divide 5 into a half.

Round 7.3065 to 2 decimal places

Answers

Answer:

im pretty sure its 7.31

Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).

Answers

Step-by-step explanation:

Hey there!

The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).

Note: Use double point formula for the equation.

Now;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]

Simplify it.

[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]

[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]

[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]

[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]

[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]

[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]

Therefore, the equation is; y = 2/3x+4/3.

Hope it helps...

Given the formula below, solve for x

Answers

Answer:

Step-by-step explanation:

Sorry but please give detailed question

where’s the formula..?

y - 1 = -4 (x + 1)



Please help thanks so much!

Answers

Answer:

[tex]y = - 4x - 3[/tex]

Step-by-step explanation:

[tex]y - 1 = - 4(x + 1) \\ y - 1 = - 4x - 4 \\ y = - 4x - 3[/tex]

Examine the operations above.

Y=-4x-3
Pls mark brainliest

If (8^9)p = 8^18, what is the value of p? (4 points)

2
9
10
18

Answers

Answer:

p is 2.

Step-by-step explanation:

Help pls i don’t wanna get a bad grade :(

Answers

Answer:

the answer is d

Step-by-step explanation:

because the time x(sec) is 10 and all the way down and the height y(ft) is 40 and all the way down also because if you keep mulitplying you get the answer for d like 20 X 5 = 40 and 5 X 2= 10

HOPE THIS HELPS :) :) HAVE A NICE DAY

Choose the equations that are not linear equations.

A. x/2-y^3=1
B. -x-y=2
C. x=5
D. x^2+y=4

Answers

D. X^2+y=4 is NOT a linear equation.

Step-By-Step Explanation:

The exponent in x^2 indicates this is a polynomial equatuon, because when graphed, it doesn't form a line.

Answer:

hello I'm getting free points

Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make?

Answers

Answer:

130 balloons

Step-by-step explanation:

295-100= 195

195/1.5=130

The required number of balloons animals Michael made is 130

Given that,
Mr. Tonroy hired Michael to make balloon animals for the children who visited a carnival. Michael was paid a base fee of $100.00 plus a fee of $1.50 per balloon animal made. If Michael was paid $295.00, how many balloon animals did Michael make is to be determined

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number of the balloons be x,
According to the question,
295 = 100 + 1.5x
1.5x = 295 - 100
1.5x = 195
x = 195 / 1.5
x = 130

Thus, the required number of balloons animals Michael made is 130.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Container I currently contain 4.6 gallons of water and is being filled at a rate of 1.2 gallons per minute. Container II currently has 54.6 gallons of water and is being drained at a rate of 0.8 gallons per minute. After how many minutes will both containers have the same amount of water?

Answers

Answer: After 25 minutes both containers will  have the same amount of water.

Step-by-step explanation:

Let x = Number of  minutes

y= Quantity of water

For container I, Quantity of water will be :

y =  4.6+ 1.2x

For container II, Quantity of water will be :

y =  54.6-0.8x

According to the question, we have

4.6+ 1.2x = 54.6-0.8x

Add 0.8x on both sides and subtract 4.6 on both sides , we get

1.2x+8x = 54.6-4.6

⇒ 2x = 50

Divide both sides by 2, we get

x= 25

So after 25 minutes both containers will  have the same amount of water.

Step-by-step explanation:

Given the functions f(x) = 2x2 +5 and g(x) = 8+x find go f(-5)

A. 63
B.3.
C.2
D.23

Answers

Answer:

A. 63

Step-by-step explanation:

Given functions:

    f(x) = 2x² + 5

    g(x) = 8 + x

find:

g o f(-5)

Solution:

Start first by finding f(-5);

       f(x) = 2x² + 5

              = 2(-5)² + 5

              = 50 + 5

              = 55

Now

g o f(-5);

     g(55) = 8 + 55 = 63

4c = d for c
Solve for indicated variable.

Answers

Answer:

c=1/4d

Step-by-step explanation:

Answer:

c = d/4

Step-by-step explanation:

solve this literal equation using inverse operations:

4c = d

/4    /4

c = d/4

Gavin likes biking. This week his goal is to bike about 65 total miles over four days. Each day he wants to ride 1.5 times as far as he rode the day before. How far should he ride on each of the four days. Write the expressions for the distance Gavin needs to bike each day. Then relate these expressions to create an equation that represents Gavin's situation.

Answers

Step-by-step explanation:

let the first-day ride be x

Then the second-day ride will be =1.5 x

The third-day ride will be=1.5(1.5x)      

The Fourth-day ride will be=1.5*1.5(1.5x)  

hence for the four days the distance covered is

65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x

65=x+1.5x+2.25x+3.375x

65=8.125x

divide both sides by 8.125 we have

x=65/8.125

x=8mile

the first-day ride be x=8miles

the second-day ride will be =1.5 x =1.5*8= 12miles

The third-day ride will be=1.5(1.5x) = 18miles

The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles

What is the value of 7×7+23

Answers

Answer:

72

Step-by-step explanation:

7x7 = 49

49 + 23 = 72

PEMDAS causes the multiplication to come before the addition.

Given triangle ABC, determine the location of A' after a translation 2 units left and a reflection over the x-axis.

Answers

Answer:

(0,-3)

Step-by-step explanation:

left 2 puts you at (0,3) and flipping over x axis makes the y value negative, so it's (0,-3)

I will give BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think it is B :D

Step-by-step explanation:

y=-15+3x
solve for x

Answers

X= 5 hope this helps :)

Answer:

x=5+1/3y

Step-by-step explanation:

y=-15+3x

-3x=-15+y

Divide both sides of the equation by -3

x=5+1/3y

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4200 seats. The students filled 84% of the seats in the theater. How many 6th graders went on the trip?

Answers

You need to find 84% of 4200 to get the amount of students.  First change the percent to a decimal, and multiply 0.84 x 4200.

There were 3528 total students at the theater.

3528 students went on the trip,this is because 84% of 4200= 3528

A taxi cab charges a pickup fee of $5.00 and $2.50 for each mile.
If you have $25 to spend on the taxi cab, how far can you ride?

Answers

Answer:

12.5

Step-by-step explanation:

Kasey colloectes 85 out of 120 pokimon cards. Write this as a decimal.

Answers

Answer:

About 71%.

Step-by-step explanation:

Divide 85 by 120.

It's .708333333 (3 repeating.)

A library has an initial late fee of $0.50 cents and charges an additional $0.05 per day. What is the rate of change?

Answers

Answer:

$0.05 per day

Step-by-step explanation:

So we know that the initial late fee would be $0.50. For every additional day, the fee increases by $0.05. The rate of change would be the rate at which the cost of the fee changes.

Note, the initial value does not affect the rate of change.

The initial late fee of $0.50 would not affect the rate of change, so we can ignore that piece of information.

Since the fee increases by $0.05 daily, $0.05 per day would be the rate of change.

I hope this helps.

fill in the missing number in the table for the equation y= -3 + 2​

Answers

y = -3x + 2?

Plug in the value x = 6.

y = -3(6) + 2

y = -18 + 2

y = -16

Hope this helps

Which one of the following words is a pronoun A) Two B) Him C) Boys D) Go

Answers

Answer:

I believe it is Him.

Step-by-step explanation:

Answer:

B) Him

Step-by-step explanation:

Him refers to someone else, and that is exactly what a pronoun does!

The table shows the number of cups of liquid and the number of smoothies made.

Cups of Liquid 2 6 8 12
Number of Smoothies 5 15 20 30How many smoothies can be made from 1 cup of liquid?
Select one:

5 cups

2.5 cups

2 cups

10 cups

Answers

Answer:

2.5 cups

Step-by-step explanation:

find two consecutive numbers so that 3 times the smaller number is 43 more than 2 times the large number

Answers

Answer:

24 AND 48

Step-by-step explanation:

Which equation shows a proportional relationship between x and y? ​

Answers

Answer: y = 4x

Step-by-step explanation:

A proportional relationship is function that is a means of ratio.

Say, x equals 12, then y would equal 48. Or x = 5, then y = 20. Etc

Y=4x I’m pretty sure hope that helps

Food bank usage in Britain has grown dramatically over the past decade. The number of users, in thousands, of the largest food bank in year t is estimated to be N(t) = 1.3e0.81t , where t is the number of years since 2006.25


(a) What does the 1.3 represent in this context? Give units.


(b) What is the continuous growth rate of users per year?


(c) What is the annual percent growth rate of users per year?


(d) Using only your answer for part (c), decide if the doubling time is more or less than 1 year.

Answers

Answer:

A) 1.3 represents the number of foodbank users in thousands in the year 2006

B) 0.81 per year

C) 124.79%

D) the doubling rate is less than a year.

Step-by-step explanation:

A) We are given N(t) = 1.3e^(0.81t) where t in thousands the number of years since 2006. N(t) is in thousands

Thus, in 2006,t = 0.

So, N(0) = 1.3e^(0.81 × 0)

N(0) = 1.3

Thus,1.3 represents the number of foodbank users in thousands in the year 2006

B) From the question, we see that the continuous growth rate is 0.81t.

This is 0.81 per year

C) The exponent of the growth rate is e^(0.81t).

Thus gives; 2.2479^(t)

This means the annual growth factor for each year is 2.2479.

Thus,annual percent growth rate is;

(2.2479 - 1) × 100% = 124.79%

D) From C above we saw that the annual percent growth rate is more than 100%. This means that it takes less than a year for the number of users to be doubled.. Thus, the doubling rate is less than a year.

what decimals round to 15 when rounding to the nearest whole number?​

Answers

Answer:

14.5, 14.6, 14.7, 14.8, 14.8, 14.9, 15.0, 15.1, 15.2, 15.3, 15.4

Step-by-step explanation:

Let U = {q, r, s, t, u, V, W, X, y, z}
A = {q,S, U, W, y}
B = {q, s, y, z)
C = {v, w, x, y, z)
List the elements in the set.
A'UB

Answers

Answer:

b

Step-by-step explanation:

because I am good at this

Other Questions
Question: Give the name forthe following compounds1. MgF22. C2H63. Fe203 Solve using GCF1. 3y-242. 6+16k3. 20z-84. 1/3b-1/35. 2.2x+4.4ASAP! Pls and thank you did the US V. Lopez case Primary Center on an issue of civil rights or civil liberties? explain What is the perimeter of the building foundation uncovered by the archaeologists? ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!! Expand 3x(x^2 5x + 6) Question 11 (5 points)Which two steps of The Writing Process can be combined?bPre-writing and WritingRevising and EditingPublishing and PresentingPre-writing and Presenting what's 22.95 13.5 Encuentra la ecuacin del siguiente enunciado. El profesor Rigoberto tiene cuatro hijos. Cada uno es un ao mayor que el anterior. Cul es el total de aos que acumulan los cuatro hijos de Rigoberto?x+x+x+x4x+66+x4+x 2x 6 = 6x + 2 work below hurry!! b) What is the formuls to calculate the perimeter of triangle today's midterms and I just want to say good luck to you all. (we're doomed) Why are forecasters able to make more accurate predictions about the weather when using electronic tools?O A wide variety of devices can be used to collect weather data from many placesO Weather data come exclusively from different weather stations in one region.Data fed into a supercomputer accounts only for select processes that occur on Earth.Scientists must input several pieces of weather information into a computer system. What ia Marginal benefit After 22 games, JD Drew has 32 hits. After 36 games he has 60 hits. Write a linear equation in slope intercept form to describe the situation. How many hits with JD Drew have after 50 games Read this excerpt from Through the Looking-Glass by Lewis Carroll.She was rambling on in this way when she reached the wood: it looked very cool and shady. Well, at any rate it's a great comfort, she said as she stepped under the trees, after being so hot, to get into theinto WHAT? she went on, rather surprised at not being able to think of the word. I mean to get under theunder theunder THIS, you know! putting her hand on the trunk of the tree. What DOES it call itself, I wonder? I do believe it's got no namewhy, to be sure it hasn't!She stood silent for a minute, thinking: then she suddenly began again. Then it really HAS happened, after all! And now, who am I? I WILL remember, if I can! I'm determined to do it! But being determined didn't help much, and all she could say, after a great deal of puzzling, was, L, I KNOW it begins with L!Which question might a reader ask to gain a better understanding of this excerpt?Why does Alice choose to step through the looking glass?Why does Alice forget the name of the woods and her own name?Why does Alice want to play chess with all the others in the garden?Why does Alice talk to the gnat about the looking-glass insects? The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2 plus a $40 processing fee.Write the function that represents this relationship.Then determine the cost of a speedingticket for a car that has gone 50 mph in a 35 mph zone 13 PLS TELL ME THE EQUATION AND HOW TO SOLVE IT WITH THE ANSWER Feeding relationships within a community can be represented by A pendulum can be formed by tying a small object, like a tennis ball, to a string, and then connecting the other end of the string to the ceiling. Suppose the pendulum is pulled to one side and released at t1. At t^2, the pendulum has swung halfway back to a vertical position. At t^3, the pendulum has swung all the way back to a vertical position. Rank the three instants in time by the magnitude of the centripetal acceleration, from greatest to least. Most of the homework activities will be Context-rich Problems.