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
HELP ME PLLZZZ+GOD LOVES YOU!
Last year at a certain high school, there were 80 boys on the honor roll and 88 girls on the honor roll. This year, the number of boys on the honor roll increased by 15% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answers
Answer:
40%
Step-by-step explanation:
15% + 25% = 40%
A tanker truck fills the gas station’s reservoir at the rate of 12 1/2 gallons per minute.
If the reservoir was empty and it is now 35 gallons full, how long has the tanker been filling the reservoir?
Answers
Answer: 2.8 minutes
Step-by-step explanation:
If it takes 12.5 gallons per minutes to fill the reservoir, then we have to divide 35 and 12.5.
35 ÷ 12.5 = 2.8 minutes
Since it takes 12.5 gallons per minutes to fill the reservoir, it will take 2.8 minutes to fill the reservoir.
hope this helps!
Answer:
A submarine descends at a rate of 2.6 kilometers per hour.
If the ocean floor is 6.24 kilometers below sea level, how long will it take the submarine to descend to the ocean floor?
Round your answer to the nearest tenth. Enter your answer in the box.
answer:
2.4
hours
Step-by-step explanation:
The ratio of women to men working at a grocery store is 4 to 5. There are 16 women working at the store . What is the total number of people working at a grocery store?
Answers
Answer:
36 people
Step-by-step explanation:
The ratio of women to men working at a grocery store is 4 to 5.
The ratio =
Women : Men
4 : 5
The sum of the proportion is 4 + 5 = 9
There are 16 women working at the store .
Let us represent the total number of people working at a grocery store as x
Hence:
4/9 of x = 16 women
4/9 × x = 16
4x/9 = 16
Cross Multiply
4x = 16 × 9
x = 16 × 9/4
x = 36 people
The total number of people working in the grocery store is 36 people
Does anyone know how the app remind works? my math teacher told us to sign up for it, i did but idk how to use it.
Answers
Answer:
you can ask questions and answer questions the more questions you answer the higher your rank gets and the more points you earn
Step-by-step explanation:
Un delfinariu are un bazin in forma de cilindru cilcular drept. Pentru a oferi mai multe reprezentati, bazinul este impartit in doua parti egale printr un perete dreptunghiular cu aria de 300 m patrati. Se stie ca raza bazei cilindrullui este de 15 m. Aflati inaltimea bazinului.
Answers
Answer:
Înălțimea bazinului este de 20 m
Step-by-step explanation:
Raza de bază a bazinului cilindric = lățimea peretelui dreptunghiular = 15 m
Suprafața peretelui dreptunghiular = lungime × lățime = 300 m²
300 m² = lungime × 15 m
lungime = 300 m² / 15m
lungime = 20 m
Lungimea peretelui dreptunghiular = înălțimea bazinului cilindric = 20 m
Prin urmare, înălțimea bazinului = 20 m.
A fair spinner has 10 equal sections.
A
A
B
B
C
A
A
Put a cross on the scale to show the probability of landing on the letter A.
Answers
Answer:
there would be a possibility
Step-by-step explanation:cuz ratio form would be A:B:C
(4:2:1)
BRACKETS IS WHET U NEED TO LOOK AT
Yoko, Bob, and Chang have a total of $120 in their wallets. Bob has $10 less than Yoko. Chang has 3 times what Bob has. How much do they have in their wallets?
Answers
Y = B + 10
C = 3B
Substitute:
(B + 10) + B + 3B = 120
5B + 10 = 120
5B = 110
B = $22
Y = B + 10
Y = $32
C = 3B
C = $66
What is the slope of points (11,13) and (-8,-19)?
Answers
Answer:
The answer is 32/19
Step-by-step explanation:
rise over run.
Your science teacher tells you that the next test is worth $0 points and contains 19 problems. Multiple-choice
questions are worth 2 points each and short answer questions are worth 5 points. Find how many of each type of
question will show up on the test.
Answers
Answer:
The test had
30
multiple choice questions, and
8
word problems.
Step-by-step explanation:
Area
What is the area for this shape??
Answers
Answer:
100cm² is the area of this shape
what is the height of a triangle if the area is 28 in2 and the base is 7
Answers
Answer:
it's 8 inches
Felipe has 3/4 acre of land to use for a vegetable garden. He separates the land into vegetable plots that are each 1/12 acre. How many vegetable plots does Felipe have? Explain how to use the number line to model this situation and find the answer.
Answers
Answer:
1) The number of vegetable plot Filipe has = 9 vegetable plots
2) A number line with 1/12 divisions will give the number of 1/12 acre vegetable plots as the number of divisions between 0 and 3/4
Step-by-step explanation:
1) The total size of the land Filipe has = 3/4 acre
The size of the vegetable plots to which he separates the land = 1/12 acre
The number of vegetable plot Filipe has = (The total size of the land Filipe has)/(The size of the vegetable plots to which he separates the land )
∴ The number of vegetable plot Filipe has = (3/4)/(1/12) = 9
The number of vegetable plot Filipe has = 9 vegetable plots
2) The number line can be used to model the situation by having the number line that has divisions of 1/12 unit and counting the number of 1/12 divisions between the zero (0) mark and the three quarter (3/4) mark
PLEASE GIVE BRAINLIEST!!
answer:
9 plots
explanation:
Felipe has 3/4 acres of land to use and she is dividing that into plots. Those plots are 1/12 of her acre so you divide 3/4 by 1/12
Franklin is making bags of trail mix for hiking club. He will use 23 ounces of walnuts, 10.1 ounces of almonds, and 25.4 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?
Answers
Answer:
(23+10.1+25.4)÷25
2.34
15x-7=2+12x I need help with this
Answers
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{x = 3}}}}[/tex]
♁ Question : Solve for x15x - 7 = 2 + 12x♁ Step - by - step explanation [tex] \text{15x - 7 = 2 + 12x}[/tex]Move 12x to L.H.S ( Left Hand Side ) and change it's sign
➛[tex] \sf{15x - 12x - 7 = 2}[/tex]
Move 7 to R.H.S ( Right Hand Side) and change it's sign
➛[tex] \sf{15x - 12x = 2 + 7}[/tex]
Subtract 12x from 15x
Remember that only coefficients of like terms can be added or subtracted.
➛[tex] \sf{3x = 2 + 7}[/tex]
Add the numbers : 2 and 7
➛[tex] \sf{3x = 9}[/tex]
Divide both sides by 3
➛ [tex] \sf{ \frac{3x}{3} = \frac{9}{3}} [/tex]
➛ [tex] \boxed{ \bold{ \sf{x = 3}}}[/tex]
The value of x is [tex] \boxed{ \sf{3}}[/tex]
✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄
☄ Now, let's check whether the value of x is 3 or not!
☥ Verification :[tex] \sf{15x - 7 = 2 + 12x}[/tex]
[tex] \dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}[/tex]
[tex] \dashrightarrow{ \sf{45 - 7 = 2 + 36}}[/tex]
[tex] \dashrightarrow{ \sf{38 = 38}}[/tex]
L.H.S = R.H.S ( Hence , the value of x is 3 ).
✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄
✒ Rules for solving an equation :If an equation contains fractions ,multiply each term by the L.C.M of denominators.Remove the brackets , if any.Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.Hope I helped!
Have a wonderful time ! ツ
~TheAnimeGirl
What is the value of the expression (23 — 1) + 32?
Answers
Answer:
54
Step-by-step explanation:
Since there are parantheses or however you spell them, by using PEMDAS, we do the parantheses first.
23 - 1 = 22
Now, we do the addition.
22 + 32 = 54
Answer:
54
Good luck! And have a great day!
?????????????????????????????
Answers
4^11/4^-8
4^11-(-8)
4^19
determine the intercepts of the line x intercept ...... y intercept ?
Answers
Answer:
Step-by-step explanation:
x-intercept if when y is 0, so, on the x-axis. as we can see the x-intercept is -40
y-intercept if when x is 0, so, on the y-axis. as we can see the y-intercept is 15
Answer:
x-intercept: [tex](-40,0)[/tex]
y-intercept: [tex](0,15)[/tex]
Step-by-step explanation:
The x-intercept is the point where the line meets the x-axis, and the y-intercept is the point on the line which meets the y-axis.
The line intersects the y-axis at [tex]15[/tex], so the y-intercept is [tex](0, 15)[/tex].
The line intersects the x-axis at [tex]-40[/tex], so the x-intercept is [tex](-40, 0)[/tex].
Hope this helps :)
Which statement correctly identifies the mistake Joe made? in step 5, Joe should have added 1 to both sides of the equation instead of dividing both sides of the equation by --1. In step 2. Joe should have multiplied the first equation by 2 instead of by 3. in step 4, Joe simplified 27 + (-20) as 7 instead of simplifying to -7. In step 3, Joe multiplied the term -2y by 2 instead of by-2.
Answers
Answer:
This question is incomplete as it lacks the actual question. The question describes how Joe solved a system of equations step-by-step using elimination method. The steps used by Joe are as follows:
1. The equations given are: 2x + y = 9 and 3x - 2y = 10.
2. Multiply the first equation by 3 to get 6x + 3y = 27
3. Multiply the second equation by -2 to get -6x - 4y = -20
4. Add the equations to get -y = 7
5. Divide both sides of the equation by -1 to get y = -7
The statement that correctly identifies the mistake Joe made is: In step 3, Joe multiplied the term -2y by 2 instead of by-2.
Step-by-step explanation:
Elimination method of solving a simultaneous equation in Mathematics involves removing one variable in order to solve another variable. In this case of equations:
2x + y = 9
3x - 2y = 10
Joe eliminates the x variable in order to solve for the y variable first. To do this;
- In step 2, he correctly multiplies the first equation by 3 to get 6x + 3y = 27
- In step 3, he multiplies the second equation by -2 to INCORRECTLY get -6x - 4y = -20
Joe made a mistake in this step 3 because he multiplied -2y in the original equation (3x - 2y = 10) by 2 and not -2. He should have gotten -6x + 4y = -20 if he multiplied by (-2). That is (-2 × -2y) to give +4y.
which one is not a function
Answers
Answer: C
Step-by-step explanation:
C because one x values cant have two y values
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
A. Two
B. Zero
C. Infinity many
D. One
Answers
Answer:
D. One solution due to the connection
can some one help me
Answers
Answer:
children is 48 and adults is 8.25 and children is 90
Step-by-step explanation:
Please help ASAP will mark brainiest!!!
Answers
Answer: 5 to the power of 2
Step-by-step explanation:
Answer:
[tex]5^{2}[/tex]
Step-by-step explanation:
[tex]\frac{5^4 x 5^3}{5^5} = \frac{5^7}{5^5} = 5^2[/tex]
Solve: 3+y=8
What is the answer
Answers
Answer: Y = 5
Step-by-step explanation:
A boat travels 348 miles in 58 hours (with constant speed) How far can it travel in 40 hours (with the same speed
Answers
Answer:
240
Step-by-step explanation:
348 mi. / 58 hrs. = 6 mph
6 mph × 40 mi. = 240 mi.
*Who ever answers gets brainliest answer!*
State the terms, like terms, coefficients and constants for the following algebraic expression
1. 4m - 5m
Terms
Like Terms
Coefficient
Constant
Answers
Answer:
Step-by-step explanation:
answer is -1m.
1 like term (m)
coefficeint: 4 and -5
no constants.
if f(x)=-2x+17, then calculate f(2)
Answers
F(2)=-4+17
F(2)=13
Answer:
f(2) = 13
Step-by-step explanation:
To evaluate f(2), substitute x = 2 into f(x) , that is
f(2) = - 2(2) + 17 = - 4 + 17 = 13
Lance earned $27 for mowing 3 lawns. What is the rate earned per lawn mowed?
Answers
27 divided by 3 to get 9
13. A local car wash is open 8 hours each day.
It uses 2/3 of a container of wax for each car.
The car wash waxes an average of 8.5 cars per hour.
According to the given information, how many containers of wax does the car wash use in one day?
Answers
Please help me out!
Answers
Answer:
A. [tex] \sqrt {38}[/tex]
Step-by-step explanation:
Since the given point lie between 6 and 7 and is close to 6.
Therefore, the given point represents the [tex] \sqrt {38}[/tex].
HELP
If a certain cannon is fired from a height of 8.4 meters above the ground, at a certain angle, the height of the cannonball above the ground, h,
in meters, at time, t, in seconds, is found by the function h(t) = -4.91? + 30.5t + 8.4. Find the time it takes for the cannonball to strike the
ground.
Answers
Answer:
The time it takes for the cannonball to hit the ground is 6.49 seconds.
Step-by-step explanation:
You know that the height of the cannonball above the ground, h, in meters, in time, t, in seconds, is found by the function h(t) = -4.9t² + 30.5t + 8.4. You want to calculate the time it takes for the cannonball to hit the ground, that is, the time it takes for the bullet to reach zero height. So, being h(t) = 0 you have:
0 = -4.9t² + 30.5t + 8.4
To solve a quadratic function 0=a*x² + b*x +c, the expression is applied:
[tex]\frac{-b+-\sqrt{b^{2} -4*a*c} }{2*a}[/tex]
In this case, being a = -4.9, b =30.5 and c =8.4 you have:
[tex]\frac{-30.5+-\sqrt{30.5^{2} -4*(-4.9)*8.4} }{2*(-4.9)}[/tex]
Solving you get:
t1= -0.26 seconds and t2=6.49 seconds
Since time does not have a negative value, then the time it takes for the cannonball to hit the ground is 6.49 seconds.