If f(x) = 10x^3-37x^2+15x+18 and x-3 is a factor of f(x), then find all of the zeros of f(x) algebraiclly.

Answers

Answer 1

Answer:

x=6/5 and x=-(1/2)

Step-by-step explanation:

[tex]f(x) = 10x^3-37x^2+15x+18\\f(x) = \frac{(5x-6)(2x+1)(x-3)}{(x-3)}\\ f(x) = (5x-6)(2x+1)[/tex]

To find the zeros, we set f(x) = 0 for both factors

[tex]5x-6=0\\5x=6\\x=6/5[/tex]

[tex]2x+1=0\\2x=-1\\x=-1/2[/tex]

Therefore the zero's of f(x) are x = 6/5 and x= -(1/2)


Related Questions

Larinda cooked a 4-kilogram the roast leftover after the meat weighed 3 kilograms how many grams of roast were eaten during that meal

Answers

4 (originally) - 3 (leftover) = 1 KG (eaten) 

1* ( 1000) = 1000g 

(there is 1000g in 1 KG)

Yes the person on top is right

What is the decimal for 4/100?
What is the Answer

Answers

Answer:

0.04

Step-by-step explanation:

Have a nice day!

Simply just take 4 divided by 100 -> 4 : 100 = 0.04

What is the area of a circle with a diameter of 4x?
(second question): how to deal with loss of a family member..
please help :)

Answers

Answer:4x^2 π

Step-by-step explanation:

Well to solve the area of a circle with diameter with 4x, you need to find the radius which is half the diameter so 4x / 2 = 2x. Then you subsitute that into πr^2 which is 2x^2 π = 4x^2π.I don't have any solution for your second question... sorry...

Hewo!

The answer to your first question: 4x^2 π

To your second..

First, im really sorry about your loss.. it will get better i promise.

But, i would suggest letting it all out. I know its hard right now, so let it out.Get a notebook and keep track of your feelings.. get better soon Lilo..

-Nat

Because the points have the same x-coordinate, the distance between the two points is a vertical distance. The distance from the ordered pair (−4,−3) to the x-axis is the absolute val
ue of it's y-coordinate. What is the absolute value of the y-coordinate in the ordered pair (−4,−3)?

Answers

Answer:

3

Step-by-step explanation:

The distance from a point to the x axis is the absolute value of its y-coordinate as it mentioned in the problem.

So take the y-coordinate, -3, and find the absolute value by making the number positive. Absolute values are always positive.

A state offers specialty license plates that contain 2 letters followed by 3 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.

A. 82 possible license plates
B. 67,600 possible license plates
C. 676,000 possible license plates
D. 36 possible license plates

Answers

C 676,000 license plates

Two angles of a quadrilateral measure 125° and 35°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Answers

Answer:

120° and 80°

Step-by-step explanation:

quadrilateral = 360°

125° + 35° = 160°

360° - 160° = 200°

3/5 of 200° = 120°

200° - 120° = 80°

Answer:

Step-by-step explanation:

Finding the missing angles of quadrilateral:

Ratio of other two angles = 3 : 5

Other two angles are 3x , 5x

Sum of all angles of quadrilateral = 360

125 + 35 + 3x + 5x = 360

Combine like terms

          160 +  8x  = 360

Subtract 160 from both sides

                     8x  = 360 - 160

                     8x = 200

Divide both sides by 8 to isolate x

                       x = 200/8

                        x = 25

5x = 5*25 = 125

3x = 3*25 = 75

The other two angles are 125° , 75°

Solve the following system of equations using elimination.

X + 2y = 5
3x + 5y = 14

Answers

Answer:

x = 3

y = 1

Step-by-step explanation:

x + 2y = 5 ------------(1)

3x + 5y = 14 ---------(2)

(1) × 3 : 3x + 6y = 15 ------ (3)

(3) - (2) : y = 1

y = 1, x + 2(1) = 5

x = 3


Find the value of x
A. 8
B. 4
C. 19
D. 2

Answers

2x+35=5x-22

2x-5x=-22-35

-3x=-57

3x=57

x=57/3

x=19

Type the expression that
results from the following
series of steps:
Start with n, subtract 5,
multiply by 4, then add 7.

Answers

Answer:

I think it is (n - 5) x 4 - 7, but I am not sure.

Find the volume of the sphere in terms of π.

A) 972 π cm3
B) 7776 π cm3
C) 36 π cm3
D) 24 π cm3

Answers

Answer:

A) 972π cm³

Step-by-step explanation:

d = 18 cm

r = d/2 = 9 cm

V = (4/3)πr³

V = (4/3)π(9 cm)³

V = (4/3)π(729 cm³)

V = 972π cm³

Translate this phrase into an algebraic expression.
One less than the product of 18 and a number
Use the variable n to represent the unknown number.

Answers

one less than the 18 and a number

18 × n = (product) - 1

One less than the 18 18xn=(product)-1

F(x)=x^2. What is g(x)? point given (2,1)

A. g(x)= 4x^2
B. g(x)=1/4x^2
C. g(x)=(1/4x)^2
D. g(x)=1/2x^2

Answers

f(x)=x²

At x=2

f(2)=2²=4

And

g(2)=1

So the function is

g(x)=1/4f(x)g(x)=1/4x²

The cost of a flat of strawberries to a grocery store is $7.60 and the store marks the strawberries
up 125%. Find the selling price

Answers

Answer:

7.60+9.50 = 17.10

Step-by-step explanation:

7.60 * 125% = 9.50

9.50+7.60 = 17.10

What is the formula for area of a triangle?

Answers

Answer:

bh/2

Meaning :

base times height, halfed

Answer:

Step-by-step explanation:

A = hb/2 or 1/2×hb

Where h is the vertical height and b is the base length.

Line a passes through the points (-2,1) and (1,-1). Line b passes through the points (-3,2) and (-1,0). DO lines a and b intersect? Explain.

Answers

Answer:

You can draw a graph.

  (-3,2)                     |

            (-2,1)            |          

      ___.__(-1,0)__ | __.____.___

                                |     (1,-1)

                                |

                                |

As shown, the lines are intersecting. You can also tell that they are intersecting because if you draw a triangle, they are on the same line. (-3,2) and (-2,1) are directly diagonally from each other.

Hope this helps!

help! p(x) = 4x^4 - 10x^3 + 8x - 1
x = 8

Answers

Answer:

p(8) = 11,327

Step-by-step explanation:

Hey there!

In order to find the answer, all we need to do is subtitute the x values for 8

After substituting, the equation will look like this:

[tex]p(8)=4(8)^4-10(8)^3+8(8)-1[/tex]

Now we simplify

8 to the power of four is 4096 and when you multiply that by 4, you get 16384

8 to the power of 3 is 512 and when you multiply that by -10, you get -5120

8 times 8 is 64

And then there is -1

Now all we have to do is combine all the answers together for one final answer

16384-5120+64-1 is equal to 11327

So the output of this function when you input 8 is 11,327

Which inequality has the graph shown below?

Answers

Answer:

Its A.

Step-by-step explanation:

Here is the graph for A

Mike argues the following side lengths can make a triangle. Sam says he is incorrect. Who is correct and why? 3m, 5m, 10m

Answers

Answer:

Sam is correct

Step-by-step explanation:

The third side is the one with greatest length. To make a triangle the other two lengths have to be greater than the greatest one when combined.

Hope this Helps.

Answer:

Mike is correct

Step-by-step explanation:

because it has three different side

A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 6 inches and a height of 4 inches. How much wax will the company need to make 140 candles?
Use 3.14 for [tex]\pi[/tex] , and do not round your answer.

Answers

Answer:

The company will need 3,360 inches of wax

Step-by-step explanation:

To find how much wax you need per one candle you would do 6in.X4in. which gives you 24in. of wax. Then to find the amount of was for 140 candles you would do 140X24in. to get 3,360 inches of wax.

What's the area for ABC?

Answers

Answer:

14

Step-by-step explanation:

7(length) times 4(height) equals 28

28/2= 14

Find the solutions to x2 = 12.

The answer is B~ c=+2{3}

Answers

Answer:

B

Step-by-step explanation:

x² = 12 ( take square root of both sides )

x = ± [tex]\sqrt{12}[/tex] = ± [tex]\sqrt{4(3)}[/tex] = ± ( [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] ) = ± 2[tex]\sqrt{3}[/tex]

What is the measure?

Answers

Answer:

180 - 70 = 110 degrees

Step-by-step explanation:

180 is half a circle, so the half minus 70 is 110

1/2+3/4+4/5 how to solve it please help me i'm waiting

Answers

Answer:

41/20

Step-by-step explanation:

or 2 1/20

Which is an equation of the line that passes through the points (5, 2) and (10, -3)? HELP​

Answers

Answer:

y = − x + 7

Step-by-step explanation:

let D be the line that passes through the points (5, 2) and (10, -3) 

Then D has an equation of the form D: y = mx + p

Now we need to find m and p in order to be able to write the equation of the line D:

[tex]m = \frac{2-(-3)}{5-10} = \frac{5}{-5} = -1[/tex]

Since the point (5 , 2) lies on the line D then :

2 = -1 × (5) + p

then

2 = -5 + p

then 

p = 2 + 5 

  = 7

then

p = 7

Conclusion:

Since m = -1 and p = 7

then

[tex]D : y = -x + 7[/tex]

The value of y varies directly with x. When y=55, x=1/4. Determine the constant of proportionality

Answers

Answer:

k = 220

Step-by-step explanation:

Proportion of y and x

y = kx

Given :

y = 55x = 1/4

Solving :

55 = k/4k = 55 x 4k = 220

bryan is a salesman in a buy and sell who earns 3 1/2% commission on every item he sell. if he sold a total of 150,000 how much is his commision

with solution please

Answers

Answer:

If commission is 31/2 percent check first image else go through second picture

kate has a coin collection. she keeps 7 of the coins in the box, which is only 5% of her entire collection. what is the total number of coins in kate's coin collection?

Answers

Answer:

140

Step-by-step explanation:

5 percent is 5% or 5 out of 100

5 / 100 = 7 / x

Cross multiply to get

5x = 700

Divide both sides by 5

x = 140

A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other. How long is each piece?

Answers

Answer:

24 inches120 inches

Step-by-step explanation:

The lengths can be found by considering their ratio:

  short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

  1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

__

Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

  s +5s = 144

  s = 144/6 = 24

  5s = 5(24) = 120

The lengths are 24 inches and 120 inches.

Find the distance between (−3, 8) and (4, 1). Round your answer to the nearest tenth.
In distance units.
GIVING TONS OF BRAINIEST!!

Answers

Answer:

[tex]7\sqrt{2}[/tex] to the nearest tenth would be, 9.9

Step-by-step explanation:

Use distance formula:

(-3-4)^2 + (8-1)^2 all under square root.

49 + 49

[tex]\sqrt{98\\[/tex]

Which simplifies to 7[tex]\sqrt{2\\}[/tex]

Hope this helps,

Feel free to mark this brainliest! :)

the answer is 5.099 rounded too 5.1

Please help with this its really hard :(

Answers

Answer:

24sq cm

Step-by-step explanation:

Other Questions
How does the rate of growth in the Philippines compare with that of Singapore? propiedad directa concepto solve: answer is x is greater than or equal to 3. Midlife crisis or transition is naturally accompanied by severe depression. please select the best answer from the choices provided t f Find the distance between the points.? Help 40 points!!! Which sentence uses the word source correctly?Most sources show that small dogs tend to be more nervous.The scientist published a source that was seven pages long.The article sourced that all dogs can vary in personality Micah, a young adult, reads a diary he kept in high school, laughing at his former self. He wonders how he couldhave thought he was so deeply in love that he'd found his soulmate at the age of 13. What part of Micah's brainhas developed since he was 13 to give him this perspective? I need a mnemonic for the reactivity server of metals pleasePotassiumSodiumLithiumCalciumMagnesiumAluminium CarbonZincIronNickelTin LeadHydrogenCopperMercurySilverGoldPlatinum Area of polygons please help What are book-length poems that are often associated with asociety's cultural values? NovelsSonnetsHaikuEpicsVillanelle sorry Ballads Would appreciate some help Why do so some birds addict to smoke? Explain the places occupied by grass, a rabbit, and a wolf in an energy pyramid. Weisss paint store uses a (q, r) inventory system to control its stock levels. for a particularly popular white latex paint, historical data show that the distribution of monthly demand is approximately normal, with mean 28 and standard deviation 8. replenishment lead time for this paint is about 14 weeks. each can of paint costs the store $6. although excess demands are back-ordered, the store owner estimates that unfilled demands cost about $10 each in bookkeeping and loss-of-goodwill costs. fixed costs of replenishment are $15 per order, and holding costs are based on a 30 percent annual rate of interest.a. what are the optimal lot sizes and reorder points for this brand of paint?b. what is the optimal safety stock for this paint? Can you help me with this Describe ONE change in political organization necessary to facilitateurban industrial development in a developing countryYour answer Sam is climbing 9000 m every 30 minutes. How many meters will he climb in 1 hour How are the meanings of compensate and replace related? Can anyone help me please A class has 26 students. Each student has to present a project to the class. To decide the order, the teacher writes every letter in thealphabet on pieces of paper and puts it in a hat. What is the probability that the first letter drawn is not a vowel?A. 7/26B. 19/26C. 21/26D. 5/26