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.
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
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:
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Solve for x by means of factorisation:
1
x2 - 10x + 21 = 0
Answer:
Solving this will give us the following two solutions:
x = (10 + 4) /2 = 14/2 = 7
x = (10 - 4) /2 = 6/2 = 3
Step-by-step explanation:
hope this helps!
could i get brainliest?
A coach of a baseball team looked over his roster at the beginning of spring training. He noticed some things: Every outfielder is a switch hitter. Half of all infielders are switch hitters. Half of all switch hitters are outfielders. There are 14 infielders and 8 outfielders. No infielder is an outfielder. How many switch hitters are neither outfielders nor infielders
Answer:
112
Step-by-step explanation:
I just multiplied 14 & 8 and I got 112. I hope this helps.
- Bluewolf
Write the sentence as a proportion: 4 wins in 7 games is the same as 116 wins in 203 games.
Answer:
4/7=116/203
Step-by-step explanation:
which expression is equivalent to 3(9p+2r)
Answer:
27p+6r
Step-by-step explanation:
3(9p+2r)
1 Solve the product 3(9p+3 2r)
3⋅9p+3x2r
Multiply 3 times 9
27p+3x2r
Final Answer
27p+6r
A CD player is advertised at a price of $1200. It could be bought cash or by hire purchase. The table below shows the terms of payment.
An online store sells specialty bags. They charge $8 for shipping and $21 per bag ordered.
Write an expression that can be used to find the cost in dollars for b bags including shipping.
Answer:
b=21x+8
Step-by-step explanation:
she sell bags 21 dollars for every bag(x) and they only add 8 dollars 1 time
Find the surface area of the three-dimensional figure. ______ cm^2
Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes. Emma has already run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min)
let x be how much longer she can run the race and still beat her previous time
55(min) + x(min) < 1(hr) + 10(min)
55(min) + x(min) < 60(min) + 10(min)
55 + x < 60 + 10
x < 60 + 10 - 55
x < 15(min)
Answer:
Answer is A
Step-by-step explanation: Taking the test so the answer is A
A high school Band has a budget of $1500 this year. They plan to go to the State Competition which cost $450. How many Members of the band can attend if the uniforms have a cost of $25 each. let n represent the number of bandmates
Group of answer choices
Answers:
n > 60
n > 42
n < 42
n < 78
Answer:
n < 42
Step-by-step explanation:
450 + 25n < 1500 (Has to be less than 1500)
25n < 1500 - 450
25n < 1050
n < 42
Answer:
n < 42
450 + 25n < 1500
25n < 1500 - 450
25n < 1050
n < 42
Which statement best describes the point (2,-5)
A.5 units to the left and 2 units up from the origin
B. 5 units to the right and 2 units up from the origin
C. 2 units from the left and 5 units down from the origin
D. 2 units to the right and 5 units down from the origin
HELPPPPPP!!!!!!!
452 x 12 _____ = 452
fill in the blank
Answer:
38 remander 8
Step-by-step explanation:
a scatter plots allows us to investigate _____ between the ____ ____.
Answer:https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10
Step-by-step explanation:hope this helps
All trapezoids have one right angle?
Answer:
a trapezoid can have either 2 right angles or no right angles at all
Step-by-step explanation:
The volume of a suitcase if 8,556 cubic inches. It is 32 inches long and 15.5 inches high. What is width of the suitcase?
Answer:
17.25
Step-by-step explanation:
8556 / 32 / 15.5 = 17.25
Janet bought 12 guavas and 16 apples. What is the ratio of guavas to apples?
12 : 16
divide by 4
3 : 4
that's it
Determine whether the figure has line point and or rotational symmetry
Answer:
D) rotational and point
Step-by-step explanation:
D) rotational and point
14
What would be the slope of equation #1 in the following system? (Graphing)
2x+3y=12
4x-3y=15
(Worth 10 points )
A:1/2
B: -1
C:3/4
D:-2/3
Answer:
[tex]m = -\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]2x+3y=12[/tex]
[tex]4x-3y=15[/tex]
Required
Slope of #1
[tex]2x+3y=12[/tex]
Make y the subject
[tex]3y = -2x + 12[/tex]
Divide through by 3
[tex]y = -\frac{2}{3}x + \frac{12}{3}[/tex]
[tex]y = -\frac{2}{3}x + 4[/tex]
An equation has the form:
[tex]y = mx + c[/tex]
Where
[tex]m = slope[/tex]
Compare [tex]y = mx + c[/tex] and [tex]y = -\frac{2}{3}x + 4[/tex]
[tex]m = -\frac{2}{3}[/tex]
Hence, the slope is [tex]-\frac{2}{3}[/tex]
The set of negative energy is greater than -7
Answer:
i don't have lesion kau you forever i am sorry
Step-by-step explanation:
your browser to mo Lego house of blues festival
Help Please! I ain’t understanding this :’
Answer:
The first one because the width and the length make the box of ice cream look bigger.
Step-by-step explanation:
Solve for xy^m=yx^2 for m
Answer:
[tex]m = \frac{ln(xy)}{ln(y)} [/tex]
Step-by-step explanation:
divide both sides by x
simplify
apply exponent rules: mln(y)=ln(xy)
m=ln(xy)/ln(y)
If Fx) = 8x, which of the following is the inverse of F(x)?
Answer
y=x/8
Step-by-step explanation:
f(x)=8x
f(x)=y
y=8x(interchange the values)
x=8y(divide by 8 both sides)
y=x/8
Help dudhfsdhdhdhhddh
Answer:
just multiply
76x475=36100 apples
Use square ABCD for this problem
IF AC=26,find BC.
Answer:
BC = 26Step-by-step explanation:
because in square all sides are equal
Answer:
bc=28
Step-by-step explanation:
give them brainliest
11. find the value of x in the kite below.
E
(6x + 6)
F
Р
G
14.
Step-by-step explanation:
6x+6=90 (being a straight line)
6x=90-6
6x=84
x= 84/6
x=14.
the difference of 4 , and 5 times h
Answer:
Step-by-step explanation:
4 - 5*h
The question is not totally clear. It could be the other way around.
5h - 4
Given the grammar, I'll stick with the first answer.
Paleomagnetic studies of Canadian volcanic rock known as the Carmacks Group have recently been completed. The studies revealed that the northward displacement of the rock units has an approximately normal distribution with a standard deviation of 500 kilometers (Canadian Journal of Earth Sciences, Vol. 27, 1990). One group of researchers estimated the mean displacement at 1,200 kilometers, whereas a second group estimated the mean at 1,000 kilometers.
Required:
a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?
Answer:
a) 0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers
b) 0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers
c) 1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.
Step-by-step explanation:
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.
Standard deviation of 500 kilometers
This means that [tex]\sigma = 500[/tex]
a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
Mean of 1500 km means that [tex]\mu = 500[/tex]
The probability is the pvalue of Z when X = 500. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 1500}{500}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers.
b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
Now [tex]\mu = 1200[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 1200}{500}[/tex]
[tex]Z = -1.4[/tex]
[tex]Z = -1.4[/tex] has a pvalue of 0.0808
0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers.
c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?
1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.
certain adventure tourism business has a promotion with a 10% discount on the original price of light boat rentals. In addition, by recommending the business, a 5% discount is given on the previously discounted price. If a customer pays $12,000 after recommending the business, what was the original rental price?
Somebody help me asap please giving brainliest
Answer:
70!
Step-by-step explanation:
If you divide the shape in rectangles, you'll just add it up in the end.
5 x 3 = 15
5 x 3 = 15
10 x 4 = 40
40 + 15 + 15 = 70.
Hope this helps!
Given: binom(119, 0.57)
What is the Expected Value?
Answer:
The expected value, or mean, of a binomial distribution, is calculated by multiplying the number of trials by the probability of successes. For example, the expected value of the number of heads in 100 trials of head and tales is 50, or (100 * 0.5)