Answer:
D. f(x) divided by (x−1) has a remainder of 0.
C. (x−1) is a factor of f(x) .
Step-by-step explanation:
Just took a test with this question these are the answers!
The statements that are true about the polynomial function are;
(x−1) is a factor of f(x). f(x) divided by (x−1) has a remainder of 0.Given the polynomial function [tex]f(x)=x^3-x^2-4x+4[/tex]
If x = -1, hence;
[tex]f(-1)=(-1)^3-(-1)^2-4(-1)+4\\f(-1)=-1-1+4+4\\f(-1)=-2+8\\f(-1) =6[/tex]
This shows that f(x) ≠ 0 when x = −1 .
To check if x - 1 is a factor, we will substitute x = 1 into the function and check if the result is zero as shown:
[tex]f(1)=1^3-1^2-4(1)+4\\f(1)=1-1-4+4\\f(1) =0[/tex]
This shows that (x−1) is a factor of f(x).This also shows that if f(x) divided by (x−1) has a remainder of 0.
Learn more here: https://brainly.com/question/18820029
Find Volume
A sphere has a radius of 1.5 feet.
Answer:
V=14.14ft^3
Step-by-step explanation:
V=4/3(π)1.5^3
=4/3(π)3.375
=14.14ft^3
Answer:
14.1 ft³ (to 3 s.f.)
Step-by-step explanation:
[tex]\boxed{volume \: of \: sphere = \frac{4}{3}π{r}^{3} }[/tex]
Given that the radius is 1.5 feet, substitute r= 1.5 into the formula above:
Volume of sphere
[tex] = \frac{4}{3} (π)( {1.5}^{3} ) \\ = 14.1 \: ft^{3} [/tex]
(to 3 s.f.)
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 500 cm and width 300 cm. She decides on a scale of 1 to 50.
b. Elena's bedroom door is 80 cm wide. How wide should the door be on the scale drawing? Explain your reasoning.
(*Hint #1* a good explanation uses Words, Numbers, or Pictures to justify your thinking).
PLEASE HELP !!!
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed (2)and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment on
a car.
Answer:
$68y
Step-by-step explanation:
i just thought of it don't ask
PLEASE HELP!!!
For the quadrant in which the following point is located, determine which of the functions are positive
(5. 7)
sin
sec
cos
cot
csc
tan
Step-by-step explanation:
The given point is
(5,7)
This is a point in the first quadrant.
In this quadrant all are positve.
please help ):
thank you
Answer:
A
Step-by-step explanation:
Ya Welcome
Answer:
I think its A
Step-by-step explanation:
hope this helps some
Rani is make rice pudding. She uses 3/4 cup of white rice for every 2 cups of milk. How many cups of rice does she need when she uses 3 cups of milk? Show your work.
Answer:
10
Step-by-step explanation:
Complete the statement with <, >, or =.
Answer:
>
Step-by-step explanation:
Answer:
>
Step-by-step explanation:
-_/18 = -4.24 which is less than -4
Evaluate -9x-2 when x=-4
Answer:
34
Step-by-step explanation:
What is 4 + 8m < 2 (2m
4)
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhhhhhhhhhhuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu
Think: 43 tens x 3 tens =
If Shane’s average number of jumps completed is greater than one-half, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?
Answer:4 2/4
Step-by-step explanation:
Hope this helps
Answer:
The 8th Graders.
Step-by-step explanation:
I don't have an explanation but have a good day.
The normal balance of an expense is a credit.
T or F?
Answer:
False
Step-by-step explanation:
Normal balance of expense is not a credit.
7.2 7.21 7.083 least ro greatest
Answer:
7.083, 7.21, 7.2
Step-by-step explanation:
7.083 is the smallest number because it has no number in the tenths place. And 7.21 is the second smallest because you have to think of it like a pie. And 7.2 is the largest.
The biggest zucchini from Joe’s Farm is 2. 5/8 pounds,which is 1 1/12 pound more than the average weight from his farm.what is the average weight of zucchini’s from his farm?
Answer:
1 13/ 24
Step-by-step explanation:
2-1=1
5/8 - 1/12=26/48 =13/24
2. Find the distance between (-2,1) and (3,4).
Alan had already read 12 books this year before joining a book club, and he plans to read 1
book every month now that he has joined. If Alan has read 19 books so far, how many
months has he been with his book club?
Respuesta:
Step-by-step explanation:
7 libros
12 - 19 ⇒ 7
Cierra had $9 to spend on 3 new
pencils for school. After buying
the pencils she had $3.85 left. How
much did she spend on each pencil?
Write an equation to represent
this situation and then solve.
Answer:
i don't know what the equation would be but hope this helped! 1.72 for each pencil
Step-by-step explanation:
9 - 3.85 = 5.15
5.15/3 = 1.72 for each pencil
Answer:
About $1.72 per pencil
Step-by-step explanation:
1. 9-3.85 = 5.15
2. 5.15/3 = 1.71 2/3 (1.7166666667)
3. $1.72/pencil
5. If mZWXZ = (5x + 3)", mZZXY = (8x - 4)", and
ZWXY is a right angle, find each measure.
W
Х
z
Y
mZWXZ =
mZZXY =
Answer:
m∠WXZ = 38°
m∠ZXY = 52°
Step-by-step explanation:
In the question
∠WXZ and ∠ZXY are two adjacent angles and formed together ∠WXYThat means the measure of ∠WXY equal the sum of measures of ∠WXZ and ∠ZXY∵ ∠WXY is a right angle
→ That means its measure is 90°
∴ m∠WXY = 90°
∵ m∠WXZ + m∠ZXY = m∠WXY
∵ m∠WXZ = (5x + 3)°
∵ m∠ZXY = (8x - 4)°
∵ m∠WXY = 90°
→ Substitute their values in the equation above
∴ (5x + 3) + (8x - 4) = 90
→ Add the like terms in the left side
∵ (5x + 8x) + (3 - 4) = 90
∴ 13x + (-1) = 90
∴ 13x - 1 = 90
→ Add 1 to both sides
∴ 13x - 1 + 1 = 90 + 1
∴ 13x = 91
→ Divide both sides by 13
∴ [tex]\frac{13x}{13}=\frac{91}{13}[/tex]
∴ x = 7
→ To find the measure of each angle substitute x by 7 in their measures
∵ m∠WXZ = 5x + 3
∴ m∠WXZ = 5(7) + 3
∴ m∠WXZ = 35 + 3
∴ m∠WXZ = 38°
∵ m∠ZXY = 8x - 4
∴ m∠ZXY = 8(7) - 4
∴ m∠ZXY = 56 - 4
∴ m∠ZXY = 52°
Can someone please help me!!
Find the common ratio of the geometric sequence –4, 32, —256, ...
Answer: -8
Step-by-step explanation:
R= a2/a1
32/-4 divide by 4 to simplify so its -8
-4*-8= 32
32*-8 = -256
The Quik-Clean Car Wash charges $15 for a car wash plus $2.50 per gallon for unleaded gasoline. The Mighty Clean Car Wash charges $10 for a carwash plus $2.75 per for unleaded gasoline. Josh is comparing the cost of having his car wash plus filling up his tank with gas at each business. How many gallons of gas would he need to purchase for the cost to be the same at each car wash?
Answer:
The indifference point is 20 gallons.
Step-by-step explanation:
Giving the following information:
Quik-Clean Car Wash:
$15 for a car wash plus $2.50 per gallon for unleaded gasoline.
Mighty Clean Car Wash:
$10 for a carwash plus $2.75 per for unleaded gasoline.
First, we need to structure the total cost formula:
Quik-Clean= 15 + 2.5x
Mighty Clean= 10 + 2.75x
x= gallon of gasoline
Now, we equal both formulas and isolate x:
15 + 2.5x = 10 + 2.75x
5 = 0.25x
20 = x
The indifference point is 20 gallons.
Prove:
Quik-Clean= 15 + 2.5*20= $65
Mighty Clean= 10 + 2.75*20= $65
Which of the following is expanded form of ( x-5)2
Answer:
2x -10
Step-by-step explanation:
(x-5)2=
use 2 to multiply the bracket (x-5)
that is 2x-10
4. Julie saw 3 eagles each day she went bird-watching. How
many eagles did Julie see in 6 days?
9514 1404 393
Answer:
18 eagles
Step-by-step explanation:
Assuming Julie went bird-watching on each of those 6 days, she saw a total of ...
(3 eagles/day)(6 day) = 3·6 eagles = 18 eagles
What is the answer too 509+35+12
Answer:
556
Step-by-step explanation:
the answer to your question
PLEASE HELP IM BEING TIMED!!!
WILL MARK BRAINLIEST FOR CORRECT!
100 PTS!!!
Which graph shows h(x) = (f(x))(g(x))?
Hi! I'd be happy to help you. However, there is not enough information here for us to help, as there is no way to tell which graph is correct without the equations of f(x) and g(x). They'd look something like:
"f(x) = x-2," or "g(x) = 7x+3."
Are you able to provide the equations of of f(x) and g(x)? I would be more than happy to help.
----------------------------------------------------------------------------------------------------------------
UPDATE: I did not realize that you could solve this problem without the original equations. Please refer to the other user's response for an amazing and detailed explanation of this problem! :)
Answer:
The first graph.
Step-by-step explanation:
We want to find the graph that shows:
[tex]h(x)=f(x)g(x)[/tex]
Notice that g(x) is a line and f(x) is a quadratic.
So, their product must be a cubic.
Also, g(x) and f(x) is the same across all four graphs. The only difference is h(x).
Notice that our quadratic f(x) is curving upwards. Therefore, the leading coefficient of f(x) is positive.
Notice that the line g(x) is sloping downwards. Therefore, the leading coefficient of g(x) is negative.
So, this means that the leading coefficient of our cubic h(x) must be negative since a positive times a negative yields a negative.
Remember that the parent cubic function has a positive leading coefficient and it rises from left to right.
So, if our leading coefficient is negative, the cubic will fall from left to right.
Therefore, we can eliminate the 2nd and 3rd graphs since in those two, h(x) has a positive leading coefficient.
Now, we can just pick a test point and determine whether our graph is the first or the fourth.
Let's let x = -2. So, we have the equation:
[tex]h(x)=f(x)g(x)[/tex]
Substitute all Xs for -2s:
[tex]h(-2)=f(-2)g(-2)[/tex]
Looking at the graphs, we can see that f(-2) is 8. g(-2) is 0.5. Substituting this back, we get:
[tex]h(-2)=8(.5)=4[/tex]
So, h(-2) should be 4.
For the first graph, h(-2) is indeed 4.
For the second graph, h(-2) is 6.
So, the correct graph that represents f(x)g(x) is the first graph.
And we're done!
A bottle that contains hand sanitizer is in the shape of a pyramid with a rectangular base. The length of the base is 2 inches, and
the height of the bottle is 6 inches. Suppose the volume of the bottle is 24 in?. Calculate the width of the base of the bottle.
A)
1 inch
B)
3 inches
4 inches
D)
6 inches
Answer:answer 4
Step-by-step explanation: multiply each answer choose an dit leaves 6 time four is 24
Which is the equation of the graphed line written in
standard form?
A. Y=c
B. X-1/2y=0
C. X-y=0
D. Y= 1/2x
Answer:
C. x - y = 0
Step-by-step explanation:
Step 1: find the slope (m) and y-intercept (b) of the graphed line.
Using the two points on the line (0, 0) and (2, 2),
Slope = [tex] \frac{rise}{run} = \frac{2 - 0}{2 - 0} = \frac{2}{2} = 1 [/tex]
The y-intercept (b) is the point at which the line intercepts the y-axis. Therefore, the y-intercept (b) = 0
Step 2: Generate an equation for the line in slope-intercept form using b = 0 and m = 1.
Substitute m = 1 and b = 0 into y = mx + b
y = 1(x) + 0
y = x
Step 3: rewrite the equation from slope-intercept form to standard form.
To express I'm standard form, take all terms with coefficient to the left, and leave the constant on the right side of the equation.
y = x
Subtract y from both sides
y - y = x - y
0 = x - y
x - y = 0
a kilogram of dalandan in pure gold costs P55. if jessica bought k kilograms, represent the amount paid A as a function
Answer:
[tex]A(k) = 55k[/tex]
Step-by-step explanation:
Given
[tex]1kg = P55[/tex]
Required
Determine the cost of k kilogram
[tex]1kg = P55[/tex]
Multiply both sides by k
[tex]k * 1kg = P55 * k[/tex]
[tex]k\ kg = 55 k[/tex]
Representing this as a function:
[tex]A(k) = 55k[/tex]
Moses draws a picture that measures 8 inches by 7 inches. What is the area of the picture?
Answer:
I'm pretty sure its 56 inches squared
solve and then write the sum in standard form. 1 tenth +2 tenths = -------tenths== -----
Answer:
Solve: 3 tenths
Standard form: 0.3
Michelle has some dimes and quarters. If she has 22 coins worth a total of $2.80, how many of each type of coin does she have?
Answer:
she has 4 quarters and 18 dimes
Answer:
16 dimes and 8 quarters
Step-by-step explanation:
.25x8=2
.05x16=.8
$2+$.8=$2.80
