Answer:
f(x) = x³ – 3x² – 10x + 24 = (x + 3)(x – 2)(x – 4)Step-by-step explanation:
I would use the Horner method.
f(x) = x³ – 3x² – 10x + 24
f(2) = 2³ - 3·2² - 10·2 +24 = 0 ⇒ x=2 is the root of function
So:
| 1 | -3 | -10 | 24 |
2 | 1 | -1 | -12 | 0 |
therefore:
f(x) = x³ – 3x² – 10x + 24 = (x – 2)(x² – x – 12)
For x² – x – 12:
[tex]x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot1\cdot(-12)}}{2\cdot1}=\dfrac{1\pm\sqrt{1+48}}{2}=\dfrac{1\pm7}{2}\\\\x_1=\dfrac{1+7}{2}=4\ ,\qquad x_2=\dfrac{1-7}{2}=-3[/tex]
It means:
f(x) = x³ – 3x² – 10x + 24 = (x – 2)(x – 4)(x + 3)
Write a function rule that represents the sentence.
y is 4 less than the product of 7 and x.
The owner of a used car lot wants to buy as many cars at an auction as he can while not spending more than $20,000. if he expects the average price to be $4000, how many would he expect to be able to buy?
Answer:
5 cars
Step-by-step explanation:
If the average of cost of a car is $4,000 there will be enough cash to buy 5 cars. 20,000 divided by 4,000= 5.
Karsyn went to the movies with her boyfriend Chandler. The movie cost them $25. Karsyn was really hungry because Chandler did not take her out to dinner. She made him buy her snacks for 4.00 each. How many snacks did Chandler have to buy Karsyn, if he spent $44 on their date.
Identify the variable:
Write the equation:
How many snacks did Karsyn eat?
Answer:
4 snacks
Step-by-step explanation:
44 from the overall date - 25 from the movie = 19 dollars. 19 divided by four is 4.75. I'm not sure if this is a real question and you can have a decimal of a snack but you can just write approximately four snacks.
Which list contains three multiples of 6?
A.
12, 16, 24
B.
18, 24, 36
C.
16, 26, 36
D.
60, 66, 69
Answer:
Step-by-step explanation:
Since 18,24,36 all three are divided by 6
So option B is the correct option
I attached a file pls answer quick i gotta sleep
Answer:
P(2, 3.5)Step-by-step explanation:
If P partitions AB in the ratio 1:1, then P is the midpoint of AB
Using midpoint formula to find its coordinates
A = (1, 2), B = (3, 5) as per graphFinding P:
P = ((1+3)/2, (2+5)/2) = (2, 3.5)Madison walks 0.2 miles on each trip to the ball park.
How far will she walk on 4 trips?
Answer:
0.8 miles
Step-by-step explanation:
0.2 x 4 = 0.8
SHOW WORK PLEASE!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
add hen sub ten bom anwwerSolving Multi-Step
1. List the steps in order) require
3(z + 5) = 12
I
a)
Answer:
z = -1
Step-by-step explanation:
3(z + 5) = 12
Step 1: Divide both sides by 3.
z + 5 = 4
Step 2: Subtract 5 from both sides.
z = -1
What rule would you allow to test weather (x,y) is on line l
Answer:
Step-by-step explanation:
If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.
Slope of a line passing through two points C(4, 5) and D(8, 10),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{10-5}{8-4}[/tex]
m = [tex]\frac{5}{4}[/tex]
Equation of the line passing through C(4, 5) and slope m = [tex]\frac{5}{4}[/tex]
y - y' = m(x - x')
y - 5 = [tex]\frac{5}{4}(x-4)[/tex]
y = [tex]\frac{5}{4}x-5+5[/tex]
y = [tex]\frac{5}{4}x[/tex]
If point B(4, 0) lies on the line CD,
0 = [tex]\frac{5}{4}(4)[/tex]
0 = 5
Which is not true.
Therefore, point B doesn't lie on line CD.
i’ll mark brainliest i guess
Answer:
c
Step-by-step explanation:
21.35/7 is 3.05 and that is gas station a which is cheaper than 3.08
Answer please
please please please
Answer:
3.25
Step-by-step explanation
Answer: 3.25
Step-by-step explanation:
Ignore the 1 and the 2. That’s just where you put your answer.
Answer:
4500000
40
Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
In the equation, we are told that d(t) = 300,000t, where t is the time in seconds and d(t) is the distance in kilometers.
1. In this part of the question, it asks for the distance after 15 seconds. To solve we plug 15 in for t.
d(t) = 300,000(15)
d(t) = 4500000 kilometers
2. In this part of the question, it is asking for time after going 12,000,000 kilometers (twelve million). To solve, we solve for t by dividing 300,000.
12,000,000 = 300,000(t)
40 = t
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
Misaki cut some wood for a bookcase she is building.She needs to find how many 13 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem.
Complete question :
Misaki cut some wood for a bookcase she is building.She needs to find how many 1/3 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem
Answer:
15
Step-by-step explanation:
Total Size of board = 5 feets
Size of board to be made = 1/3 feets
Number of 1/3 feets board to be made from 5 feets board :
Total size of board / size of board to be made
5 feets ÷ 1/3 feets
5 feets * 3 / 1 feets
= 15
Hence, number of 1/3 feets board that can be made from 5 feets board = 15
Lee is selling spirit wear for a fundraiser hats cost $8 and shirts $12 lee sold $272 worth of spirit wear in the first month. If lee sold a total of 28 items how many hats did Lee sell
Lee sold 16 hats.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Cost of 1 hat= $8
Cost of shirt = $12
Total cost of spirit wear= $272
let the number of hats sold be x
and, let the number of shirts sold be y
So, 8x+ 12y= 272
and, x+ y= 28
Solving the above equations we get
8(28- y) + 12y= 272
224 - 8y + 12y = 272
4y = 48
y = 12
and x= 28- 12 = 16
Hence, Lee sold 16 hats.
Learn more about equation here:
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Nothing but slope.................
Answer:
1. 1
2. 3
3. 4
Step-by-step explanation:
pls heeelp i dont want to fail
Solve: -6y+2(y-6)=12
answer: = -6 mark me brainly
Answer:
Step-by-step explanation:
distribute
=
−
6
is the point (20,13) on this line?
Answer:
yes
Step-by-step explanation:
the graph needs to be shown for us to answer it.
Step-by-step explanation:
An electrician charges $45 per hour plus a fixed charge of $30. Which of these equations could be used to determine C , the cost an electrician charges for h hours worked?
A group of friends eat at Jae's cafe. They have an online coupon. The costs of their main courses, before applying the coupon, are $13.99, $16.99, $19.99, and $21.99. The total cost of their drinks is $12.00. What will their bill be before tax and tip?
Bill before tax and tip will be generated by the original prices of main courses . The total bill is of $84.96
Given, prices of main course at cafe .
The total bill without applying the coupon for that we simply need to add respective costs of main course and drinks bill.
Just adding all the costs to find the bill:
= $(13.99 + 16.99 + 19.99 + 21.99 + 12)
=$84.96
Now since the question asks not to apply coupon and tip so the bill will remain as it is .
Know more about discount,
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me need help. xjjd j dsj
Answer:
$4.67
Step-by-step explanation:
John + 2 friends = 3
Total cost = $14
$14/3 = $4.6666
$4.6666 ---> $4.67
Consider Brainliest! Hope I helped!
AABC is an isosceles triangle with vertex angle B, AB = 2x + 10, AC = 2x,
and BC = 4x - 16. Determine the length of the base of the triangle.
Answers are
A.117 degrees
B.26 degrees
C.15 degrees
D.22 degrees
Answer:
AC = 26 units
Step-by-step explanation:
Given that,
ABC is an isosceles triangle with vertex angle B such that,
AB = 2x + 10, AC = 2x, and BC = 4x - 16
Two sides of an isosceles triangle are equal. It means that the angles corresponding to the same sides are equal. It means AB = BC
2x + 10 = 4x - 16
2x-4x = -10-16
-2x = -26
x = 13
AC is the base of the traingle.
AC = 2x
AC = 2(13)
AC = 26 units
So, the base of the triangle is equal to 26 units.
Find the limit !!!!!!
Answer:
1/8.
Step-by-step explanation:
Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.
Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2 -1
= 1 / [ 2 * (16 - x)^1/2
Derivative of the denominator = 1
When x approaches 0 this is 1 / (2*4)
= 1/8.
Another way to do this is to multiply top and bottom by 4 + (16 - x)^1/2
This becomes 16 - (16 - x) / x(4 + (16-x)^1/2)
= 1 / (4 + (16 + x)^1/2
When x ---> 0
this = 1 /(4 + 4)
= 1/8.
What is the value of n of this data? Type a numerical answer in the space provided. Do not type spaces or decimals in your answer.
3, 12, 15, 25, 30, 40
Answer:
The value of n for this data is 6
Step-by-step explanation:
The given data is:
3, 12, 15, 25, 30, 40
In a set of given data, n is used to represent the number of values in a dataset. The values are also called observations. Hence, the total number of observations in a dataset are denoted by n.
In the given dataset, total values are 6.
So,
n = 6
Hence,
The value of n for this data is 6
A snowbank that is 6 inches deep is melting at a rate of 0.5 inch per hour. Write a linear function to model the scenario and identify the domain and range of the function.
Answer:
y = -0.5x + 6, Domain [0,12] and Range [0, 6]
Step-by-step explanation:
The slope in a linear function represents the rate of change. Since the amount of snow is decreasing (indicating a negative slope) at 0.5 inches an hour, our slope would be -0.5.
Our y intercept, 6, would be the starting amount of snow. At 0 hours, no snow has been melted.
Our domain is [0,12] these are the x values from where at zero there is 6 inches of snow and at 12 there is 0 inches of snow.
Finally, our range is [0,6]. Since there cannot be no more than 6 or less than 0 inches of snow, our range is [0,6]
Hope this helped!
According to the table, during which interval did the average time spent on hold increase?
O week 1 to week 3
O week 1 to week 4
O week 4 to week 6
week 3 to week 5
Answer:
d
Step-by-step explanation:
took the quiz
PLEase Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Mr. Ash owns a tree, which is 42 feet tall. He estimates that this tree is 75% as tall now as it will be when fully grown. How tall will the tree be when it is fully grown?
Answer: 56
Step-by-step explanation: Divide 42 by 3 and then multiply by 4
Bob can do a job in 5 hours while Bill can do the same job in 8. How many hours would it take them, working together, to do this job?
plesa heap
Answer:
It would take either 13 hours, or there is not enough informatino to solve this problem.
Answer:
It would take them 13 hours to work together on the job.
Step-by-step explanation:
Just add 5 hours + 8 hours.
Triangle FED is the image of triangle ABC. Angle A corresponds with which angle?
A) D
B) E
C) F
D) none of the above
Answer:
C) F
Step-by-step explanation:
If you flip triangle ABC across the y-axis and slide it over top of triangle FED then you can see that angle A corresponds with angle F.
Which ordered pair is a solution of this
equation?
3x - 7y = 28
Answer:
(0,-4)
Step-by-step explanation:
I plugged in 0 for x.
3(0)-7y=28
-7y=28
y=-4