Which of the following possible rational roots is a root of the function f(x)=x^3-3x^2+5x-15? *
5 points
-3
-1
1
3

Answers

Answer 1

Given:

The function is

[tex]f(x)=x^3-3x^2+5x-15[/tex]

To find:

The root of the function from the given possible roots.

Solution:

We have,

[tex]f(x)=x^3-3x^2+5x-15[/tex]

At x=-3,

[tex]f(-3)=(-3)^3-3(-3)^2+5(-3)-15[/tex]

[tex]f(-3)=-27-27-15-15[/tex]

[tex]f(-3)=-84\neq 0[/tex]

At x=-1,

[tex]f(-1)=(-1)^3-3(-1)^2+5(-1)-15[/tex]

[tex]f(-1)=-1-3-5-15[/tex]

[tex]f(-1)=-24\neq 0[/tex]

At x=1,

[tex]f(1)=(1)^3-3(1)^2+5(1)-15[/tex]

[tex]f(1)=1-3+5-15[/tex]

[tex]f(1)=-12\neq 0[/tex]

At x=3,

[tex]f(3)=(3)^3-3(3)^2+5(3)-15[/tex]

[tex]f(3)=27-27+15-15[/tex]

[tex]f(3)=0[/tex]

Since, the value of given function is 0 at only x=3, therefore 3 is a root of given function.

Hence, the correct option is D.


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8 + 4X = 32 helpppppp meeeee​

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Answer:x=6

Step-by-step explanation:

4. There are 50 pupils in a class. Four-fifths of the class are boys
How many are boys?

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Answer:

40

Step-by-step explanation:

50 x (4/5) = 50 x 4 =200/5=40

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aba mag solve kayo mag puro tanong samin

how many solutions does x+2y=8 have?

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Answer:

21

Step-by-step explanation:

The given equation is linear with two variables that will have zero solutions.

What is a system of equations?

A system of equations, also known as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.

Given equation is x + 2y = 8. The equation is a linear equation with two variables. If the equation will have another equation then the solution will have two values for two variables.

If there is only one equation with two variables we will not get any solution we need one more same equation. The equation will have zero solution.

Therefore, the given equation is linear with two variables that will have zero solutions.

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Penguins can swim at a speed of up to 33 ft./s use dimensional analysis to convert the speed to miles per hour 1 mile equals 5280 feet

Answers

Answer:

v = 22.5 miles/hour

Step-by-step explanation:

It is given that,

The speed of Penguins is 33 ft/s.

We need to convert the speed to miles per hour.

We know that, 1 mile = 5280 feet

Speed,

[tex]v=33\ \dfrac{ft}{s}\\\\=33\times \dfrac{\dfrac{1}{5280}\ \text{miles}}{\dfrac{1}{3600}\ \text{hour}}\\\\=22.5\ \text{miles/hour}[/tex]

So, the speed of the Penguins is 22.5 miles/hour.

1. You decide to buy some new clothes. The subtotal comes to $123.79, but
you have a 15% off coupon. What is the total you will spend? *

Answers

Answer:

$105.22

Step-by-step explanation:

$123.79 * 0.15 = $18.5685

That is not how you write money, so we round to $18.57

Subtract that from $123.79 and you get $105.22

I hope this helped, please mark Brainliest, thank you!

I need help again guys

In two hours, Khadija completed ¾ of her race. How long will it take her to complete the entire race?

Answers

2 Hours and 45 minutes because she completes 45 minutes per 1/4 she completes. (i’m pretty sure that is right)

Help!



7.4a + 44.4 = 3.2a + 86.4

Answers

Answer:

a=10

Step-by-step explanation:

Answer:

a=10 i just was confirming the other dudes answer and showing steps:)

Step-by-step explanation:

7.4a=3.2a+42

4.2a=42

a=10

How many different outfits can you make based on this tree diagram? *

22
3
12
10

Answers

Answer:

12

Step-by-step explanation:

hope this helps :)

HEPPPPO MEEE PLZZZZZZZ

Answers

linear-straight line graph+second chart in the picture

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HELPPP ME PLEASEE
IM HIVE BRAINIEST TO FIRST PERSON WHO ANSWER. AND I DONT NEED A EXPLANATION, JUST THE ANSWER
Find the value of z.

Answers

Answer:

120

Step-by-step explanation:

Evaluate for(+7)-(-3)

Answers

Answer:

10

Step-by-step explanation:

When we subtract a negative number, it's basically a double negative, kind of like how we don't use those in English. We want to turn that into a positive, and double negatives are positive.

So, instead of 7-(-3), we get 7+3, or 10

Answer:

10

Step-by-step explanation:

[remember: (+)(+) is (+) itself , (+)(-) is (-) , (-)(-) is (+) ]

(+7)-(-3)

⇒ +7+3

⇒ 10

hope you understood❤


1. The popcorn, butter, salt, and serving bags cost $15 for every 100 bags of popcom. What is
the cost per bag for these consumables?

Answers

Answer:6.66

Step-by-step explanation:

Find the measure of the numbered angle. A)100 b)90 c)95 d)180

Answers

100 because that’s the answer don’t ask it said it has to be 20 characters long

please help me due very soon. with 16

Answers

Answer:

7(3x-2)=133

x=7

Step-by-step explanation:

distribute the 7 which gives you 21x-14=133

the add 14 to both side making it 21x=147

finally divide 21 to both sides giving you x=7

Can someone please help me ?

Answers

Answer:

14 is +1

15 is -9

Step-by-step explanation:

what is the factored form of the expression 35xy + 25x

Answers

Answer:

5x(7y + 5)

Step-by-step explanation:

Find the greatest common factor of 35xy and 25x and pull it in front of the parenthesis.

true or false the x-coordinate of any point on the y-axis is 0?

Answers

Answer:

true

Step-by-step explanation:

you have a square 0 is always first

Answer:

true

Step-by-step explanation:

:)

Please Help ASAP!!!!

Answers

Answer: AAS. Some people use SAA.

Step-by-step explanation: LM congruent to JK using given. <MLJ congruent to <JKM using given...The last one is using VAT(I can’t find the angle there. Hope this helps!

solve them no need for work
1) Determine Domain of graph below in interval notation
A.D=[-5,5] B.D=[-5,5) C.D=(-5,5) D.D=(-5,5]
2) Determine Range of graph below in set builder notation

Answers

Answer: 1) D    2) B, A     3) A

Step-by-step explanation:

Domain is the x-values

Range is the y-values

Graph is a function if no x-values are duplicated

1) option D

  (3, 7), (1, 0), (8, 1), (-4, -3), (2, 7)

   ↓       ↓       ↓        ↓          ↓

Domain: x = {1, 1, 8, -4, 2}   → No duplicates so it is a function.

  (3, 7), (1, 0), (8, 1), (-4, -3), (2, 7)

       ↓       ↓       ↓          ↓        ↓

Range: y = {7, 0, 1, -3}    7 is a duplicate so only needs to be listed once

2) Domain = option B, Range = option A

x-values are between -5 (included = bracket) and +5 (not included = parentheses)

y-values are between -5 (included = bracket) and +5 (included = bracket)

3) option A

Domain: x = {1, 4, 5, 7, 9}   → 4 matches to both 5 and 7 so is NOT a function

Range: y = {3, 5, 7, 8}

5×-26=×+50 what is ×​

Answers

Answer:

x =19

Step-by-step explanation:

[tex]5x - 26 =x +50[/tex]

Collect like terms and simplify

[tex]5x-x =50+26\\\\4x = 76[/tex]

Divide both sides of the equation by 4

[tex]\frac{4x}{4} = \frac{76}{4}[/tex]

Simplify

[tex]x=19[/tex]

Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed.
y + 2.3 = 0.45x
–2y = 4.2x – 7.8

a.(2.4, –1.2)
b.(–1, 2.5)
c.no solution
d.infinitely many solutions

Answers

Answer:

Step-by-step explanation:

A

How do you write 7 is subtracted from seven times a number

Answers

7x-7.
U multiplied seven times a unknown number and subtracted seven from it
7x-7 is the equation you would use

How do you solve -4 divided by -1/2

Answers

Answer:

its basically -4 divided by 2 which is 2

Step-by-step explanation:

Tangela earns the same amount each week by babysitting. When she started this job, she had $200 in her savings account. The table shows Tangela's savings account balance for her first month of work. Week 0 1 2 3 4 Balance $200 $350 $500 $650 $800 Let x represent the number of weeks Tangela has been working and let y represent Tangela's account balance. Which equation, expressed in Slope-Intercept form, represents the amount of money in Tangela's bank account over time?

y=150x+200

y=200x−150

y=150x−200

y=200x+150

Answers

Answer:

y=150x+200

Step-by-step explanation:

Given that:

Week : ____ 0___ 1 ___ 2 ____3 _____4

Balance : __200_350 _ 500 _ 650 ___800

Amount had in savings account = $200 before starting the job

x = number of weeks spent working

y = account balance

Slope intercept formula :

y = mx + c

C = intercept ; value of y when x = 0 = 200

m = slope or gradient = change in salary per month (350 - 200 = 500 - 350 = 650 - 500 = 800 - 650 = 150

Hence,

y = 150x + 200

Can someone help me with this??

Answers

Answer:

y= -2x-2

Step-by-step explanation:

All parallel lines have the same slope. So, the line we create must have a slope of -2. If we multiply the x value by -2, we can find b through an equation.

-4 would be x in this case because it's a point we pass.

So, our equation would be

y= -2(-4)+b

y=8+b

Now, we know that y is 8+b. We can find b by plugging in y=6, because those are the coordinates of P.

6=8+b

b=-2

Now we know that b is -2. We put this into the equation for the parallel line and get:

y=-2x-2

Question in picture solve

Answers

Answer:

x=4

Step-by-step explanation:

Add six to both sides

x/4=1

Multiply by 4 on both sides

x=4

Regroup.

x/4 - 6 = -5

Add 6 to both sides

x/4 = -5 + 6

Simplify

x/4 = 1

Solve for x

x = 1×4

x = 4

point Q(3,2) is the image of Q (6,4) under translation

Answers

The translation would be (x+3, y+2)

From $60 to $40. What is the amount of change to the nearest whole percent?
O 33% increase
0 33% decrease
0 20% increase
O 20% decrease

Answers

Answer:

33% decrease

Step-by-step explanation:

40/60 = 66.66% and then what ever is left over is how much it decreased by

It should be 20% decrease

Please help. I am confused please explain as well as answering the question below

Answers

It is the first one! You just multiply 6*8 *4 to get 192!!!! I hope this helps! :)

*^^NEED WITHIN 30 MINUTES ILL GIVE YOU BRAINLIEST****
This is solving special right triangles (45, 45, 90, and 30, 60, 90) and some sides have radicals ANSWER IN RADICAL FORM

Answers

Answer: just plug these into a calculator to find the simplified answers

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