Which equation could have the graph shown below? y = (x – 4)(x – 1)(2 + x)(3 + x) y = (x – 4)(1 – x)(2 + x)(3 + x) y = (x + 4)(x + 1)(2 – x)(3 – x) y = (x + 4)(x + 1)(2 – x)(x – 3)

Answers

Answer 1

Answer: (x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)2•(x-3)2

Step-by-step explanation: Step by Step Solution

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STEP

Equation at the end of step 1

((((((((((((((x-4)•(x-1)•(x+2))•(x+3))•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

Equation at the end of step 2

(((((((((((((x-4)•(x-1)•(x+2)•(x+3))•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

Equation at the end of step 3

((((((((((((x-4)•(x-1)•(x+2)•(x+3)•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

Multiplying Exponential Expressions:

4.1 Multiply (x-4) by (x-4)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x-4) and the exponents are :

1 , as (x-4) is the same number as (x-4)1

and 1 , as (x-4) is the same number as (x-4)1

The product is therefore, (x-4)(1+1) = (x-4)2

Equation at the end of step

(((((((((((x-4)2•(x-1)•(x+2)•(x+3)•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

5.1 Rewrite (1-x) as (-1) • (x-1)

Multiplying Exponential Expressions:

5.2 Multiply (x-1) by (x-1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x-1) and the exponents are :

1 , as (x-1) is the same number as (x-1)1

and 1 , as (x-1) is the same number as (x-1)1

The product is therefore, (x-1)(1+1) = (x-1)2

STEP

Pulling out like terms

7.1 Pull out like factors :

-x - 2 = -1 • (x + 2)

Multiplying Exponential Expressions:

7.2 Multiply (x + 2) by (x + 2)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+2) and the exponents are :

1 , as (x+2) is the same number as (x+2)1

and 1 , as (x+2) is the same number as (x+2)1

The product is therefore, (x+2)(1+1) = (x+2)2

STEP

Pulling out like terms

9.1 Pull out like factors :

-x - 3 = -1 • (x + 3)

Multiplying Exponential Expressions:

9.2 Multiply (x + 3) by (x + 3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+3) and the exponents are :

1 , as (x+3) is the same number as (x+3)1

and 1 , as (x+3) is the same number as (x+3)1

The product is therefore, (x+3)(1+1) = (x+3)

((((((((x-4)2•(x-1)2•(x+2)2•-1•(x+3)2•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

Equation at the end of step 10

(((((((x-4)2•(x-1)2•(x+2)2•(x+3)2•(-x-4)•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

Pulling out like terms

12.1 Pull out like factors :

-x - 4 = -1 • (x + 4)

Equation at the end of step

((((((x-4)2•(x-1)2•(x+2)2•(x+3)2•(-x-4)•(x+1)•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)

STEP

Pulling out like terms

14.1 Pull out like factors :

-x - 4 = -1 • (x + 4)

Equation at the end of step

STEP

Pulling out like terms

16.1 Pull out like factors :

-x - 4 = -1 •

Equation at the end of step

STEP

Pulling out like terms

18.1 Pull out like factors :

-x - 4 = -1 • (x + 4)

Multiplying Exponential Expressions:

18.2 Multiply (x + 4) by (x + 4)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+4) and the exponents are :

1 , as (x+4) is the same number as (x+4)1

and 1 , as (x+4) is the same number as (x+4)1

The product is therefore, (x+4)(1+1) = (x+4)2

Equation at the end of step

(((x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(-x-1)•(2-x)•(3-x)•(x+1))•(2-x))•(x-3)

STEP

Pulling out like terms

20.1 Pull out like factors :

-x - 1 = -1 • (x + 1)

Multiplying Exponential Expressions:

20.2 Multiply (x + 1) by (x + 1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+1) and the exponents are :

1 , as (x+1) is the same number as (x+1)1

and 1 , as (x+1) is the same number as (x+1)1

The product is therefore, (x+1)(1+1) = (x+1)2

Equation at the end of step

((x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)•(3-x)•(2-x))•(x-3)

STEP

21.1 Rewrite (2-x) as (-1) • (x-2)

Multiplying Exponential Expressions:

21.2 Multiply (x-2) by (x-2)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x-2) and the exponents are :

1 , as (x-2) is the same number as (x-2)1

and 1 , as (x-2) is the same number as (x-2)1

The product is therefore, (x-2)(1+1) = (x-2)2

22.1 Multiply (x-3) by (x-3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x-3) and the exponents are :

1 , as (x-3) is the same number as (x-3)1

and 1 , as (x-3) is the same number as (x-3)1

The product is therefore, (x-3)(1+1) = (x-3)2

Final result :

(x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)2•(x-3)2

Related Questions

what is three-fourths times a square of a number

just write the equation

Answers

Answer:

3/4(x^2)

Step-by-step explanation:

........................

Plant a is 25 ft tall and plant b is 2ft tall.Plant A grows 2ft per week and plant B grows 21/5 feet per week. In how many days will the height of both the plants reach same

Answers

Answer:

10.5 weeks

Step-by-step explanation:

is you graph the following system, the point of intersection is (10.45, 45.9)

Plant A: y = 2x + 25

Plant B: y = 21/5x + 2

Write an equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

slope-intercept formula.. y= mx + b

so that's the form we want to get to

use the point-slope formula to get there y-y1 = m(x-x1)

m= slope and (x1,y1) is your given point

y-5 = 4(x-3.5)

y-4 = 4x - 14

y = 4x -14 +4

y = 4x -10

this looks like the slope-intercept form :)

The equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form is y = 4x - 9 where y-intercept is -9

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have:

The slope of the line = 4

The line passes through a point (3.5, 5)

We know the equation of the line that has slope m and y-intercept c:

y = mx + c

y = 4x + c (m = 3)

Point (3.5, 5) must satisfy the above line equation:

5 = 4(3.5) + c

c = -9 put this value in the line equation we get:

y = 4x -9

Thus, the equation of a line with slope 4 that passes through the point (3.5,5) in slope-intercept form is y = 4x - 9 where y-intercept is -9

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

D File
C:/Users/tonia/Desktop/YEAR%201.2/ADVANCED%20CALC/BSM%201207%
Highlight
Erase
+
Draw
2
A' Read aloud
b) A project has the following activities and other characteristics:
Activity Preceding Most
Most
activity optimistic likely
Most
pessimistic
A
B
С
D
E
F
G
H
1
А
A
C С.
D
B
E,F
G
4.
1
6
2.
5
3
3
1
7
5
12
5
11
6
9
4
19
16
15
30
8
17
15
27
7
28
Required
i) Draw the PERT network diagram.
Identify the critical path
Determine the mean project completion time.
iv) Find the probability that the project is completed in 36 weeks.
(16 marks)
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100% 14
here to search

Answers

Answer:

Oh what a questionI cannot understand

Use _________ to isolate the variable.
A
reciprocals

B
subtraction

C
an expression

D
inverse operations

Answers

Answer:

Answer: D) inverse operations

Subtraction is the inverse operation of addition

Step-by-step explanation:

please mark as brainliest!!

D - inverse operations

John deposits $25 at the end of each month in a savings account with 6.4% annual interest compounded monthly. What is his account balance at the end of 15 years? *

Answers

Answer:

$ 65.13

Step-by-step explanation:

John deposits $25 at the end of each month in a savings account with 6.4% annual interest compounded monthly. What is his account balance at the end of 15 years? *

The formula for compound interest =

A = P(1 + r/n)^nt

Where

P = Initial amount deposited = $25

r = Interest rate = 6.4% = 0.064

n = number of times interest is compound = monthly = 12 times

t = time in years = 15 years

A = $25 × (1 + 0.064/12)^12 × 15

A = $65.13

His account balance at the end of 15 years is $65.13

simplify
plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

[tex]12a {}^{9}b {}^{7} [/tex]

hope it helps

explanation in the pic above

please help, will give brainliest!!

Answers

Answer:

The answer is A.

Step-by-step explanation:

Hope this helped have an amazing day!

Write an equation to represent the following statement.
The product of 12 and k is 84.
Solve for k.

Answers

Answer:

12(k)=84 k=7

Step-by-step explanation:

84/12=7

A bike covers 150 km distance. with 3 liters of petrol than what distance it will cover with 5 liters of petrol?

Answers

Answer:

The bike will cover 250 km of distance with 5 liters of petrol.

Step-by-step explanation:

First, we have to calculate the amount of distance the bike will be able to cover in 1 liter of petrol.

[tex]\frac{150 \ km}{3 \ liters}[/tex]

[tex]= 50 \ km/liter[/tex]

Therefore, for every liter, the bike will be able to travel 50 km of distance.

Now, let's multiply the distance travelled by each liter with the total number of liters.

[tex]\frac{50 \ km}{liter} \cdot 5 \ liters[/tex]

[tex]= 250 \ km[/tex]

Finally, we have our answer: the bike will cover 250 km of distance with 5 liters of petrol.

Hope this helped!

Answer:

Step-by-step explanation:

150 / 3 = 50 km per liter sooo

5 * 50 = 250 Km

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Circle 1=6x+2y

Rectangle 4 = 3x+y

Circle 4 = 5x

Step-by-step explanation:

4x+3y and 2x-y can be added to find result for the circle.

Let C1 represent circle 1

4x+3y+2x-y=C1\\

Combining\:like\:terms\\

4x+2x+3y-y=C1

6x+2y=C1

So, The result is: C1=6x+2y

Now, We need to solve:

Let R1 represent rectangle 4

x+4y + R1 = 4x+5y

R1=4x+5y-(x+4y)

R1=4x+5y-x-4y

R1=4x-x+5y-4y

R1=3x+y

So, Solving x+4y + R1 = 4x+5y, We get R1 = 3x+y

Now, We need to solve the equation:

Let C4= Circle 4

2x-y+3x+y=C4

Combining the like terms

2x+3x-y+y=C4

5x=C4

So, Solving 2x-y+3x+y=C4 we get C4 = 5x

The sample standard deviation, divided by the square root of N , results in the _____________________________.

Answers

Answer:

Standard Error

Step-by-step explanation:

The standard error is the ratio of the sample standard deviation and the square root of the sample size used.

Standard Error (S. E) = s / √n

Where ;

s = sample standard deviation ; n = sample size

You make $5 an hour in tips working at a restaurant and $7 an hour in tips working at a landscaping
company

In one week, you work 15 hours and you earn $97. Write system of linear equations to determine
the number of hours you work at each job.

Answers

Answer:

5x + 7y = 97

x + y = 15

The solution to these equations is (4,11)

Step-by-step explanation:

What is the solution to 40+40-20•0+3+125=

Answers

Answer:

188

i think, i'm not that sure what the dot in. "20.0" is. i cant tell if its for mutiplcation or a decimal

The solution to an equation is the result of solving the equation

The solution to 40 + 40 - 20 . 0 + 3 + 125 is 208

The equation is given as:

[tex]40 + 40 - 20 \cdot 0 + 3 + 125[/tex]

Evaluate the products of 20 and 0

[tex]40 + 40 - 20 \cdot 0 + 3 + 125 = 40 + 40 -0 + 3 + 125[/tex]

Add the terms of the expression

[tex]40 + 40 - 20 \cdot 0 + 3 + 125 = 208[/tex]

Hence, the solution to 40 + 40 - 20 . 0 + 3 + 125 is 208

Read more about equations and solutions at:

https://brainly.com/question/13729904

What is the approximate value of sin C?
B
13.93
5
A
13
12
O A. 0.93
OB. 0.36
O C. 2.79
D. 0.38

Answers

Answer: 0.36

Step-by-step explanation:

Ap3x

ASAP can someone help and explain this to me

Answers

Answer:

[tex]d = 15.0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point C (7, -4)

Point D (-8, -5)

Step 2: Find distance d

Substitute [DF]: [tex]d = \sqrt{(-8-7)^2+(-5+4)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-15)^2+(-1)^2}[/tex]Exponents: [tex]d = \sqrt{225+1}[/tex]Add: [tex]d = \sqrt{226}[/tex]Evaluate: [tex]d = 15.0333[/tex]Round: [tex]d = 15.0[/tex]

Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.

Average Cycling Speed
A graph titled Average Cycling Speed has minutes on the x-axis and miles per hour on the y-axis. Points are at (5, 15), (10, 13), (15, 11), (20, 10), (25, 9).

Answers

Answer:

Positive correlation.

Step-by-step explanation:

The miles per hour increases as the cycling speed increases.

If they drove for 4.75 hours, how far did they drive?

Answers

Answer:

332.5 miles

Step-by-step explanation:

let me know if its right :)

find the greatest common factor of 56 and 64

Answers

Answer:

8 is the greatest common factor

Step-by-step explanation:

Answer:

Step-by-step explanation:

HELP DOES ANYONE GET THIS? This is my “math help” class and I still don’t understand

Answers

Answer:

there are dots outside of the allotted area

Step-by-step explanation:

I've never taken a math help class but from your paper one can assume you have to point out the error in the graph. Its a bit fuzzy so I cant see the numbers or labels but you take what you learned for how to graph and apply it here.

For example:

The dots should stay inside the graph. Not on the outside

The numbers that are on the side, the axis, they should all progress in a specific sequence. Like 2,4,6,8,10. It needs to stay constant. Not 2,4,6,8,19

Same for both x and y axis^

I'm not sure if that helps much with what your doing seeing as the instructions apply what you've already learned, but I hope you do good!

Answer quick please

Answers

Answer:

The answer should be x = 6

Aubree invested $4,400 in an account paying an interest rate of 2.4% compounded
quarterly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $6,880?

Answers

Answer:

We conclude that the time required to get a total amount of $6,880.00 from compound interest on a principal of $ 4,400.00 at an interest rate of 2.4% per year and compounded 4 times per year is 18 years and 8 months.

Step-by-step explanation:

We know the formula

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

where

A denotes the Accrued Amount (principal + interest) P denotes the Principal Amount r denoted the Annual Interest Rate t denotes the Time Period in yearsn denotes the number of compounding periods per unit t

Given

Total amount A = $6,880

Principle amount P = $4,400

Interest Rate r = 2.4% = 0.024 per year

Compounded quarterly = n = 4

Thus, the time period can be fetched using the simplified-derived equation suchs as:

t = ln(A/P) / n[ln(1 + r/n)]

substituting the values

t = ln(6,880.00/4,400.00) / ( 4 × [ln(1 + 0.006/4)] )

t = 18.8 years

Therefore, we conclude that the time required to get a total amount of $6,880.00 from compound interest on a principal of $ 4,400.00 at an interest rate of 2.4% per year and compounded 4 times per year is 18 years and 8 months.

Answer:

The answer is actually 18.7 -.-

Step-by-step explanation:

Geometry help please explain

Answers

Answer:

<A and <C

Step-by-step explanation:

If EA and EC are congruent, the angles <A and <C are also congruent

Answer:

angle A congruent to angle C

2
Which of the following are within the solution to x + 28 > 50 ?
(Select all that apply.)
A 10
B
15
C 22
D
25
E
30

Answers

Answer:

25 , 30

Step-by-step explanation:

x > 50 -28

x > 22

x is greater than 22.

Answer:

Step-by-step explanation:

D and E because x must be greater than 23

If ABCD is dilated by a factor of 2, the coordinate of d would be:

Answers

Answer:

the coordinate of D is 6,4

Answer:

D=(6,-4)

Step-by-step explanation:

Solve the following system of equations:

8x+14y=4
-6x-7y=-10

Answers

Answer:

(4,–2)

Took the quiz

BRAINIEST FOR THE FIRST ANSWER
Which could be his next step?
(3)(5) +
(1/5)+(3 (1)+() (1)
o (305) (
35) +(304)+(35)
+(5)
+
5+

Answers

Answer:

Step-by-step explanation:

please help me on this!

Answers

Answer:

1) Jina is not a member of the Music Club.

2) Three students are a member of the Music Club but not the Math Club.

3 Mary and Dan are in all three clubs.

Step-by-step explanation:

Look at the diagram and notice how each club has its own circle. If a student is in that circle, then they are a member of that club. When circles overlap, that overlap space means that a student is a member of two or all three clubs, depending on how many and which circles overlap.

1) Looking at Jina's location on the diagram, she is in the overlap between the math and chess club circles. However, her position does NOT overlap with the Music Club circle, therefore she is not a member of the Music Club.

2) Let's look at the students of the Music Club circle and its overlaps with the Chess Club circle, but NOT the overlaps with the Math Club circle. We can see that Lucy, Josh, and Juan are in these locations, therefore there are three students who are members of the Music Club but not the Math Club.

3) To find which students are in all three clubs, you would look at the middle of the diagram where all three circles overlap. The students listed in this location are Mary and Dan, therefore they are in all three clubs.

Andrew wants to buy 3 video games that are $50 each. He earns $80 a week. In how many weeks will he have enough money to buy the games?
Group of answer choices

Answers

Answer:

He will have enough money after 2 weeks.

Step-by-step explanation:

If he wants to buy 3 video games that are $50 each, he would need $150. He makes $80 a week. By the second week, he will have earned $160, which is enough for all 3 games.

Roughly 2 weeks. (13-14 days)

Evaluate (−23)×(−23)3 by using the Laws of Exponents

Answers

Given:

[tex]\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3[/tex]

To find:

The value of given expression by using the Laws of Exponents.

Solution:

We have,

[tex]\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3[/tex]

Using the Laws of Exponents, we get

[tex]=\left(-\dfrac{2}{3}\right)^{1+3}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]=\left(\dfrac{-2}{3}\right)^{4}[/tex]

[tex]=\dfrac{(-2)^4}{(3)^4}[/tex] [tex][\because \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}][/tex]

[tex]=\dfrac{(-2)\times (-2)\times (-2)\times (-2)}{(3)\times (3)\times (3)\times (3)}[/tex]

[tex]=\dfrac{16}{81}[/tex]

Therefore, the value of given expression is [tex]\dfrac{16}{81}[/tex].

Other Questions

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Which equation could have the graph shown below? y = (x – 4)(x – 1)(2 + x)(3 + x) y = (x – 4)(1 – x)(2 + x)(3 + x) y = (x + 4)(x + 1)(2 – x)(3 – x) y = (x + 4)(x + 1)(2 – x)(x – 3)​

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Which equation could have the graph shown below? y = (x – 4)(x – 1)(2 + x)(3 + x) y = (x – 4)(1 – x)(2 + x)(3 + x) y = (x + 4)(x + 1)(2 – x)(3 – x) y = (x + 4)(x + 1)(2 – x)(x – 3)