Answers
Answer:
The function [tex]f(x)=x^3+\mathbf{1}x^2-\mathbf{17}x+\mathbf{15}[/tex]
Step-by-step explanation:
We have the polynomial having zeros 1,3,-5
We can write them as:
x=1,x=3,x=-5
or
x-1=0, x-3=0,x+5=0
Multiplying all terms:
[tex](x-1)(x-3)(x+5)\\=(x(x-3)-1(x-3))(x+5)\\=(x^2-3x-1x+3)(x+5)\\=(x^2-4x+3)(x+5)\\=(x^2-4x+3)+5(x^2-4x+3)\\=^3-4x^2+3x+5x^2-20x+15\\=x^3-4x^2+5x^2+3x-20x+15\\=x^3+x^2-17x+15[/tex]
So, The function [tex]f(x)=x^3+\mathbf{1}x^2-\mathbf{17}x+\mathbf{15}[/tex]
Related Questions
Three baseball players are playing catch. Herman is 6 meters south of Luca and 8 meters west of valentina. How far does Luca need to throw the ball to get it to Valentina
Answers
Answer:
Luca needs to throw the ball 10 meters to get to Valentina.
Step-by-step explanation:
Distance Between two Points in the Plane
Let's assume Luca is at the origin of coordinates (0,0).
Since Herman is 6 meters south of Luca, he is located at (0,-8).
We also know Herman is 8 meters west of Valentina, or equivalently, Valentina is 8 meters east of Herman. This locates Valentina at (6,-8).
If Luca wanted to throw the ball to Valentina, he would need to cover the distance between them.
Thus the problem reduces to find the distance between (0,0) and (6,-8).
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
Applying the formula:
[tex]d=\sqrt{(-8-0)^2+(6-0)^2}[/tex]
[tex]d=\sqrt{(-8)^2+(6)^2}[/tex]
[tex]d=\sqrt{64+36}=\sqrt{100}=10[/tex]
d=10 m
Luca needs to throw the ball 10 meters to get to Valentina.
4 + 3(4 - 9^0)+ 5^-3i
Answers
Answer:
13.008 or 13 1/125 or 1626/125
Step-by-step explanation:
click on the photo , please help
Answers
Answer:
true
Step-by-step explanation:
(For #8 -9) Choose ONE of the application problems below and solve it using a system of 2 equations.
Remember - word problem, word answer.
8. The high school FFA is selling fruit. Together, Kay and Ayan sell a total of 25 boxes. Kay sells 13 less than Ayan.
How many boxes does each girl sell?
Define your variables:
X =
Y =
boxes.
boxes, and Ayan sold
Kay sold
Answers
Answer:
Kay sold 6 boxes and Ayan sold 19 boxes
Step-by-step explanation:
Let x = number of boxes Kay sells
y = number of boxes Ayan sells
Then the equations will be:
[tex]x+y = 25\\x = y-13[/tex]
We can solve the system by using substitution method
Putting x = y-13 in equation 1
[tex]y-13+y = 25\\2y -13 = 25\\2y = 25+13\\2y = 38[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2} = \frac{38}{2}\\y = 19[/tex]
Putting y = 19 in equation 2
[tex]x = y-13\\x = 19-13\\x = 6[/tex]
Hence,
Kay sold 6 boxes and Ayan sold 19 boxes
PLEASEEE ITS EASY ALGEBRA 1 ):
Answers
Answer:
6, 7, and 8
Step-by-step explanation:
2x/3 + 7 > 11
Subtract 7 from both sides
2x/3 > 4
Multiply both sides by 3
2x > 12
Divide both sides by 2
x > 6
6, 7, and 8 are the ones that work
Is the square root of 13 a rational or irrational number? Explain.
Answers
Answer: irrational
Step-by-step explanation:
PLEASE HURRY! WILL GIVE BRAINLEST TO THE BEST ANSWER!
How do i get the equation: 2x+3y=1,470 to slope intercept form. please provide steps :))
Answers
Answer:
y= -2 +490
3
Step-by-step explanation:
y=mx+b is the slope intercept form of a like where m is the slope and b is the y intercept
Answer:
y=-2/3x+490
Step-by-step explanation:
As we know the formula for slope intercept form would be y=mx+b
therefore we arrange our numbers in the following manner:
First subtract 2x from 2x so it'll be like 2x-2x and they cancel each other out so keep that in mind, now what you do on one side you have to do it on the other side as well therefore you'll putt -2x on the other side now we are left our equation as 3y=1,470-2x
Second, as we want our form to be slope intercept form I believe that y should be by it self and to do that you need to divide 3 from y, now remember that what you do on one side you have to do it on the other. So you'll divide 3 from all the numbers on the other side. Now on the other side we have 1,470-2x so we will divide 1,470/3=490 and -2x/3 now we are left with y= 490-2/3x ( i left -2/3x as that because dividing makes it a decimal and a decimal and the fraction has the same value so I just left it as a fraction)
Thirdly, sense we want our equation as a slope intercept form we will need to rearange our equation which we need to keep in mind the form which is y=mx+b so that makes it to our answer y=-2/3x+490
Hope this helps :)
Help please really need it
Answers
Answer:
Sorry. Haven't learned this yet. Kep trying. I know you'll get it
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
X=5±√7
You bought a bag of cat food for $4.75 and a bag of dog food for $12.59. How much more did you spend on the dog food?
Answers
Answer:
$7.84 more
Step-by-step explanation:
To find how much more you spent on dog food, find the difference between the two prices:
12.59 - 4.75
= 7.84
So, you spent $7.84 more on the dog food
Lincoin Glass as a Christmas party for is employees each year. The
cost of food for the party comes to $24.95 a person. How much does
toositor 2175 employees?
Answers
Answer:
54266.25
Step-by-step explanation:
What is the point slope form of a line with the slope -5 and point (2,-8)?
Answers
Answer:
-5x-y=27
Step-by-step explanation:
Plz give brainliest I am trying to rank up.
A school allots £2000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £32 each and are on offer for 1 4 off. A train ticket for the day will cost £12 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answers
Answer:
£20
Step-by-step explanation:
Given that:
Total amount alloted = 2000
Ticket cost = 32
Discount = 1/4 off
Hence, ticket price = 3/4 * 32 = 24
Train ticket cost = 12
Total cost per person = £(12 + 24) = £36
Hence, alloted amount / cost per person
= £2000 / £36
= 55.55
Total number that can attend = 2 teachers and 53 students
Change = £2000 - (£36*55)
= £20
x-intercept is -5, y-intercept is 2
Write in slop intercept form
Answers
Answer:
y = 2/5x + 2
Step-by-step explanation:
y = mx + b
Slope (m) = 2/5
Y-intercept (b) = 2
X-intercept (x) = -5
(-5, 0) (0, 2)
2-0 = 2
0 + 5 = 5
2/5
Stacy paid $54 for 6 pizzas, which is a rate of $ ? per pizza.
Answers
Answer: it’s 9
Step-by-step explanation:
54 divined by 6 = 9
The ratio of boys to girls in the sixth grade are 2:3. If there are 200 sixth graders, how many of them are boys?
Answers
Answer:
80
Step-by-step explanation:
2:3
2+3=5
2/5×200=80
Ayudaaaa porfavorrr se los suplico me
Answers
A polynomial function is represented by the data in the table.
x = -5, -4, -3, -2, -1
f(x) = -15, -6, 1, 6, 9
Choose the function represented by the data.
f(x) = 6x + 15
f(x) = −6x − 45
f(x) = x2 − 40
f(x) = −x2 + 10
Answers
Answer:
Step-by-step explanation:
F(x)=6x+15
f(x)=6(-15)+15
f(x)=-75
Answer:
D f(x)=-x2+10
Step-by-step explanation:
did on edge
can someone please help with with this question
Answers
Answer:
Try asking your teacher for some help, so he/she can explain it more to you if you don't understand
Step-by-step explanation:
1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?
2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?
3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each piece
Answers
Answer: See explanation
Step-by-step explanation:
1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?
The time spent on each subject will be the remaining hours left divided by 7. This will be:
= 5 3/5 ÷ 7
= 28/5 ÷ 7
= 28/5 × 1/7
= 28/35 = 4/5 hours
Since 60 minutes make one hour
4/5 hours = 4/5 × 60 = 48 minutes
2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?
This will be:
= 6 3/4 ÷ 2 1/4
= 27/4 ÷ 9/4
= 27/4 × 4/9
= 3 boxes
3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each.
Joana ribbon = 12 1/4 meters
Joy's ribbon = 12 1/4 - 3 = 9 1/4 meters
We then add both length of ribbons and divide by 2. This will be:
= 12 1/4 + 9 1/4
= 21 1/2 meters
= 21 1/2 meters ÷ 2
= 43/2 ÷ 2
= 43/2 × 1/2
= 43/4
= 10 3/4 meters
What is the value of x and what does ACB equal to? Please answer as soon as possible! Thanks for your support!
Answers
Answer:
11 ; 12°
Step-by-step explanation:
3x + 28 + 2x - 10 + 5x + 52 = 180
10x = 180 - 70
x = 11
m∠C = 2(11) - 10 = 12°
Answer:
Angle ACB = 12°
Step-by-step explanation:
All angles in a triangle always add up to 180°, which gives us an equation to solve for x:
3x + 28 + 5x + 52 + 2x -10 = 180
Combine like terms
10x + 70 = 180
Subtract 70 from both sides
10x = 110
Divide both sides by 10
x = 11
Now we know the value of x, we need to just plug it in to angle ACB's given value:
2(11) - 10 = Angle ACB
22 - 10 = Angle ACB
12 = Angle ACB
Solve for x
64°
Х
45°
Answers
Answer:
x = 109
Step-by-step explanation:
64 + 45 = 109
180 - 109 = 71
180 - 71 = 109
Pls give me the right answer
Answers
Please help me with this question! :)
Answers
Answer:
2
Step-by-step explanation:
figure 1 had 6
figure 2 had 10
figure 3 had 14
so 6-4=2
help pls fhakahdksjhshdksj
Answers
Slope could also mean gradient, so the gradient of a line is always the number in front of x in the equation y=Mx+c ... Hope it was helpful:)
Choose 3 side lengths that would create a right triangle in order from shortest to longest.
Answers
Answer:
Step-by-step explanation:
shortest-7
middle-24
longest-25
Find (g-)(x).
f(x)=1/x
g(x) = x^2+ 2x-5
Answers
Answer:
C. x^2+ 2x-5 - 1/xStep-by-step explanation:
Givenf(x)=1/x g(x) = x^2+ 2x-5To find(g-f)(x)Solution(g-f)(x) = g(x) - f(x) =x^2+ 2x-5 - 1/xCorrect one is C
Find the area of the rectangle.
Answers
Answer:
5m squared
Step-by-step explanation:
(m)(5m) = 5m^2
Does anyone have tips on writing the middle of your story im not good at it and i need help
Answers
Answer:
What is your story about It could be the exciting part of your story!
Step-by-step explanation:
Write the equation for the line that is parallel to the given line and that contains
the given point. Use the point-slope form of the equation of a line.*
(-3,4) y=-x-11
Answers
Answer:
x + y - 1 = 0
Step-by-step explanation:
y = -x - 11
therefore its slope is -1
x1= -3
y1 = 4
m = -1
from, y - y1 = m(x -x1)
y - 4 = -1(x + 3)
y -4 = -x -3
x + y -1 = 0
Factor 20w + 70.
i need help!
Answers
Answer:
10(2w+7)
Step-by-step explanation: