WILL MARK BRAINLIEST - One factor of the function f(x)=x^3-8x^2+17x-10 is (x-5). Describe how to find the x-intercepts and y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.

Answers

Answer 1

Answer: x-intercepts (5,0), (2,0), (1,0)

y-intercept (0,-10)

Step-by-step explanation: If one factor of the polynomial function is (x-5), then the function f(x) can be factored in the following way: (x-5) (x^2-3x+2)

Now factor the trinomial: (x-2) (x-1)

Thus, x-intercepts (points where f(x)=0) are

x1=5

x2=2

x3=1

and y-intercept (point where x=0) is

f(0)=0^3-8.0^2+17.0-10=-10.

plz mark me brainliest

Answer 2

A function assigns the values. The y-intercept of the function is -10, while the x-intercept of the function is 5, 2, and 1.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

To find an intercept of the function, we need to substitute the value of x or y depending on the intercept as 0 in the function. Therefore, the x-intercept of the function is,

y = (0)³ - 8(0)² + 17(0) - 10

y = -10

Since given that one factor of the function f(x)=x³-8x²+17x-10 is (x-5). Therefore, if the function f(x) is divided by (x-5). The quotient will be x²-3x+2.

Now, Factorising the given expression x²-3x+2.

x²-3x+2

= x² - 2x - x + 2

= x(x-2) -1(x-2)

= (x-2)(x-1)

Now, we can write the function f(x)=x³-8x²+17x-10 as y=(x-5)(x-2)(x-1). Therefore, the x-intercept of the function is,

x-intercept = 5, 2, 1

This can be verified from the graph formed below.

Learn more about Function:

https://brainly.com/question/5245372

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Related Questions

Please help due soon.

Answers

Answer:

If Jenny gives her brother 28 marbles, they will have 59 marbles each.

Step-by-step explanation:

The key to finding this answer is a mean, or average. Find it for the number of marbles:

[tex]\text{Mean}=\frac{87+31}{2}= \frac{118}{2}=59 \text{ marbles}[/tex]

So, on average, each one should have 59 marbles.

Finally, to find out how many marbles Jenny should give to her brother, subtract the average (59 marbles) from her count:

[tex]87-59=28 \text{ marbles}[/tex]

This means Jenny would give up 28 of her marbles to her brother.

in the problem 12+58=70,12 and 58 are called factors true or false

Answers

Answer:

false

Step-by-step explanation:

Answer:

false they are called addend s

- 4(x + 5) = 16 what does x equal?

Answers

Answer:x= 9

Step-by-step explanation:

-4(x+5) = 16

-4*x= -4x -4*5= -20

16 - -20= 36

-4x/-4= x 36/-4=9

Without doing calculations choose the equation that you can NOT use to answer the question. What number is 55% of 80?

Answers

Answer: See explanation

Step-by-step explanation:

You didn't specify the equations but let me solve the question.

55% of 80.

The above statement simply means that you need to multiply 55% by 80. This will be:

= 55% of 80

= 55/100 × 80

= 0.55 × 80

= 44

Therefore, 55% of 80 is 44

Based on your question, any other equation that doesn't give 44 as an answer cannot be used to answer the question.

A tabletop in the shape of a trapizoid has an area 8607 square centimeters. its longer base measures 123 centimeters, and the shorter base is 105 centimeters what is the height?​

Answers

Answer:

286.94 cm

Step-by-step explanation:

Data:

             Area = 8,607

             b1 = 105

             b2 = 123

      Area = 1/2 * (b1 + b2) * h

      h = 2 * Area/b1 + b2

      h = 2 * 8,607/105 + 123

     h = 286.94 cm

I'm not sure if it's right but that's what my calculator gave me.

Write two fractions that have a sum of 1 and have different denominators.​

Answers

Answer:

1/5+8/10=1

Step-by-step explanation:

1/5 = 2/10

Help pls because I really need help

Answers

Answer:

answer is third,hope i helped u

WILL GIVE BRAINLIST PLS HELP Find z. Just write the number. Answer should be a whole number.

Answers

Answer:

8

Step by Step Explanation

Answer and Step-by-step explanation:

To find Z, we have to use the trigonometric function of Sine.

The Sine trig function looks like this:

sin(Angle) = [tex]= \frac{opposite.side}{hypotenuse}[/tex]

Plug in the values and solve for z.

[tex]sin(30) = \frac{4}{z} \\\\\\\\\\z = \frac{4}{sin(30)}[/tex]

Plug into a calculator and solve.

We get z to be 8.

#teamtrees #PAW (Plant And Water)

Each model below is divided into sections of equal size Which model does Not have 75% of the total area shaded

Answers

Answer:

G

f is 6/8=3/4 = 75%

h is 9/12=3/4 = 75%

I is 3/4 = 75%

so the answer is G

combine like terms in the expression -4x+7x-2y+7y​

Answers

Answer:

-4x + 7x - 2y + 7y =

3x + 5y

Step-by-step explanation:

Hope that this helps :)

Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the given plane. x 3y 4z

Answers

I assume the given plane has equation

x + 3y + 4z = d

for some constant d ≠ 0.

You want to maximize the function V(x, y, z) = xyz subject to the above constraint. The Lagrangian would be

L(x, y, z, λ) = xyz - λ (x + 3y + 4z - d)

Find its critical points:

L/∂x = yz - λ = 0

L/∂y = xz - 3λ = 0

L/∂z = xy - 4λ = 0

L/∂λ = x + 3y + 4z - d = 0

The first three equations tell you that λ = yz = xz/3 = xy/4. Then, for instance,

yz = xz/3   →   3yz - xz = z (3y - x) = 0   →   z = 0   or   3y - x = 0

If z = 0, we get zero volume which is not useful. So 3y = x. Similarly, you would find x = 4z and 3y = 4z, so a critical point occurs when x = 3y = 4z.

In the fourth equation, we get upon substituting

x + 3y + 4z = 3x = d   →   x = d/3, y = d/9, z = d/12

Then the largest volume of this box would be

V(d/3, d/9, d/12) = d ³ / 324

please help! I really need it if you can tysm

Answers

Answer:

Step-by-step explanation:

Half of the animals are cats. If they take in 5 cats, then the total number of animals is 2×5 = 10.

If they take in 8 animals, the number of cats is ½ of 8 = 4.

If they take in 6 cats, then the total number of animals is 2×6 = 12.

If they take in 16 animals, the number of cats is ½ of 16 = 8.

An elevator has a placard stating that the maximum capacity is 1580 lb-10 passengers.​ So, 10 adult male passengers can have a mean weight of up to 1580/10 = 158 pounds. If the elevator is loaded with 10 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 158 lb.​ (Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of ​35 lb.) Does this elevator appear to be​ safe?

Answers

Answer:

a) 0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb

b) No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of ​35 lb.

This means that [tex]\mu = 160, \sigma = 35[/tex]

Sample of 10:

This means that [tex]n = 10, s = \frac{35}{\sqrt{10}} = 11.07[/tex]

a) Find the probability that it is overloaded because they have a mean weight greater than 158 lb.​

This is 1 subtracted by the pvalue of Z when X = 158. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{158 - 160}{11.07}[/tex]

[tex]Z = -0.18[/tex]

[tex]Z = -0.18[/tex] has a pvalue of 0.4286

1 - 0.4286 = 0.5714

0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb.

b.) Does this elevator appear to be​ safe?

No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.

PLEASE HELP!!

Find the lateral area of this cone. Leave your answer in terms of pi.

25 cm

8 cm

Answers

Answer:

200

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

extra : i used symbolab.com :)

Consider the expression
10x2 + 5x – 25.
What is the GCF (greatest common factor)?

Answers

Answer:

5

Step-by-step explanation:

Answer:

Its def 5, My calculations are never wrong

On a drive from one city to​ another, the person averaged 51 mph. If he had been able to average 72 ​mph, he would have reached his destination 7 hrs earlier. What is the driving distance between one city and the​ other?

Answers

Answer: 1224 miles

Step-by-step explanation:

Given

the average speed of a person is 51 mph

If speed is increased to 72 mph, he would have reached 7 hr earlier

Suppose d and t be the distance and time taken

[tex]\Rightarrow t_1=\dfrac{d}{51}[/tex]

If the speed is 72 mph

[tex]\Rightarrow t_2=\dfrac{d}{72}[/tex]

Also, [tex]t_1-t_2=7[/tex]

[tex]\Rightarrow \dfrac{d}{51}-\dfrac{d}{72}=7\\\\\Rightarrow \dfrac{1}{51}-\dfrac{1}{72}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{24-17}{1224}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{7}{1224}=\dfrac{7}{d}\\\\\Rightarrow d=1224\ miles[/tex]

Washe
car alone, ustin takes
45 hours
had
takes tos hours.
How
donde long does the car
by
does it take Justin's
hiods?
Washing car alone it takes Justin 4.5 hours. If his dad helps him it takes 1.5 hours. His long does it take Justin’s dad to wash the car by himself?

Answers

Answer:

it takes his dad 3 hours

Step-by-step explanation:

4.5-1.5 =3

Please help me I don’t understand

Answers

Answer:

x= 230

Step-by-step explanation:

since a circle is 360 degrees

x + 130 = 360

x= 360 -130

x=230

The commutative property changes the _____ of two addends or factors.

Answers

the communtative property chages the grouping
Grouping so that it stay the same

Help me out thank youuuu sooo much !!!

Answers

Answer/Step-by-step explanation:

There are actually two methods that can be used to calculate AC (x):

1. Using Pythagorean Theorem

2. Using Trigonometric Function

1. Using Pythagorean Theorem, we have:

x = √(15² + 20²)

x = √625

x = 25 units

2. Using Trigonometric Function:

Reference angle = 37°

Adjacent = 20

Opposite = 15

Hypotenuse = x

Apply SOH:

Sin 37 = Opp/Hyp

Sin 37 = 15/x

x × Sin 37 = 15

x = 15/sin 37

x = 24.9246021 ≈ 25 units (nearest whole number)

Find the coordinates of the point (a, b).
a = ?
(0, 1)
0 1
2
(a, b)
O v2
O v2
2.
1(-1,0)
रा
45°
DONE
(1,0)
b= ?
1
O v2
O v2
2.
Зл
2
(0, -1)

Answers

9514 1404 393

Answer:

  (a, b) = (√2/2, √2/2) . . . . . choice C in each case

Step-by-step explanation:

The points on a unit circle will not have coordinate values greater than 1 (eliminates √2). The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° are ...

  (cos(45°), sin(45°)) = (a, b) = (√2/2, √2/2)

The coordinate of point (a, b) is (√2/2, √2/2)

Coordinate of a point on a circle

Note that the points on a unit circle will not have coordinate values greater than 1.

The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° is given according to the coordinate point (cos45, sin45)

a = cos45 = √2/2

b = sin45 = √2/2

Hence the coordinate of point (a, b) is (√2/2, √2/2)

Learn more on unit circle here: https://brainly.com/question/23989157

Help asappppp !!!!!!!!

Answers

Answer:

None

Step-by-step explanation:

2(x + 10) - 17 = 2x - 2

simplify:

2x + 20 - 17 = 2x - 2

2x + 3 = 2x - 2

subtract 3 from both sides of the equation:

2x = 3x -5

no solution

Helppp pleaseeee which one

Answers

Answer:

Coefficient is your answer

Answer:

3 is a coefficient

Step-by-step explanation:

a constant is a number without a variable and that is unchanging

3 has the variable w attached to it and will change with the value of w

hope this helps <3

Give the value of x. Explain how you got your answer OR which theorem you used.

Answers

100+75+70+x= 360° (sum of interior angles of quadrilateral)

x= 360-245= 115°

Question 5. What is the mean of 51, 60, 80, 32, 47, 30 * A.50 B.6 c. 60 D40​

Answers

Answer:

A (50)

Step-by-step explanation:

Mean is the total numbers added up divided by the # of numbers.

There are 6 numbers.

51 + 60 + 80 + 32 + 47 + 30 = 300

300/6 = 50

Therefore, the answer is A.

Answer:

A

Step-by-step explanation:

Because to find the mean you add up all the numbers.

51+60+80+32+47+30=300

Then your suppose to divide by the sum.

300/6=50

2/7 of students in a school are in 8th grade.

How many students are in the school if 40 of them are 8th graders?

Answers

Answer:

140

Step-by-step explanation:

First we would find the unit rate of students per seventh. So we would do 40 divided by 2 which gives us 20. So per 1/7 we have 20 students. Which we can then say 7 x 20 = 140. So in total there are 140 students

Hope this helped

solve please
due very soon
need done asap

Answers

Answer:

B

Step-by-step explanation:

Both triangles are similar. The similarity ratio between AB and EF is 4, which must mean that FG is BC (60)/4. The area of a rectangle is base x height -> 6.25 x 15 = 93.75 square cm

Hope this helps!

Solve for n:5*8^3n+1=80

Answers

Answer:

8^(3n+1) = 80/5

8^(3n+1) = 16

(2^3)^(3n+1) = 2^4

2^(3*(3n+1) = 2^4

Having same power so;

9n+3 = 4

9n = 4-3

9n = 1

n = 1/9

write the following mathematical expressions in simplest form 3.5 m + 2 (0.6 M - 5) + 4​

Answers

Answer:hamburger

Hamburger

Step-by-step explanation:hamburger

Hamburger

D
Question 3
3 pts
Zion has 152 shares of company LMN stock. LMN issued dividend payments every
quarter that totaled $1.3 per share for the entire year. The current price for LMN
stock is $34.97 per share. What is the current dividend yield for LMN stock?

Answers

The answer is 4.4.4.;.;.4
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