Plot the x-intercepts and make a sign chart that represents the function shown below
Answers
Step-by-step explanation:
step 1. the x intercepts (called zeros) are where y = 0 or where the graph is on the x axis
step 2. the zeros are -3, 0, 2, 5.
step 3. therefore there are 5 intervals
step 4. ( ,-3) - f(x) = "-"
step 5. (-3, 0) - f(x) = "+"
step 6. (0, 2) - f(x) = "+"
step 7. (2, 5) - f(x) = "-"
step 8. (5, ) - f(x) = "+".
A function assigns the values. The x-intercept for the given function is -3, 0, 2, and 5.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function can be rewritten as,
f(x) = x²(x-5)(x+3)³(x-2)
f(x) = (x-0)² (x-5) (x+3)³ (x-2)
Now, the value of x in the given function, or the x-intercept can be found by substituting the value of the factors of function as 0.
0 = (x-0)² (x-5) (x+3)³ (x-2)
(x-0)² = 0
x = 0
x-5 = 0
x = 5
x+3 = 0
x = -3
x - 2 = 0
x = 2
x = -3, 0, 2, 5
Hence, the x-intercept for the given function is -3, 0, 2, and 5.
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Related Questions
Right triangle ABC is shown below with the dimensions given in units. Which measurement is closest to BC in units?
4.4
4.6
7.0
3.9
Answers
Answer: 7.0
Step-by-step explanation: Tan 29 = x/8 than you multiple 8 by tan 29 and you will get 7.0
The Length of BC is 4.4.
What is Trigonometry?The branch of mathematics concerned with specific functions of angles and their application to calculations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).
Given:
B = 8
Using Trigonometry
tan 29 = P/ B
0.554 = P / 8
P = 8 x 0.554
P = 4.432
Hence, the measure for BC is 4.432
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can someone help :(!
Answers
Answer:
A
Step-by-step explanation:
You should know the area of a circle, A = πr².
So, all you need to find is the area of half a circle, or A = [tex]\frac{1}{2}[/tex] πr²
We see that the radius is half of the diameter or r = 6 in.
A = [tex]\frac{1}{2}[/tex] (3.14)(6)²
A = 56.52 in²
the enrollment at Middle School drop by 168 cents from 2015 to 2019 find the average change in the number of students each year
Answers
Answer:
42
Step-by-step explanation:
It changes 42 cents each year
Write the slope-intercept equation of the line that passes through the given point and is parallel to the given line.
(−3, 8), x = −3y + 9
Answers
Answer:
y= -3yx + 9x - 37
Step-by-step explanation:
Find the Equation Using Slope-Intercept Form
Answer:
y= - (1/3) x + 9
Step-by-step explanation:
y = m x +b === m is slope, b is y-intercept
Solve given equation for y to find parallel slope -- y = - (1/3) x + 3
so parallel slope is - (1/3)
substitute point & slope into equation to find b
8 = - (1/3) (3) + b
b = 9
Which reactant (X) is missing from the equation shown?
X + PO4 → H3PO4
One hydrogen atom
One hydrogen atom
One phosphorus atom
One phosphorus atom
Three hydrogen atoms
Three hydrogen atoms
One oxygen atom
One oxygen atom
Answers
Answer:
three hydrogen atoms
Step-by-step explanation:
H3 + Po4 ----> H3Po4
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solve the system of equations for X and Y
y=x+5
y=2x+2
Answers
5-2=2x-x
3=x
y=(3)+5
y=8
2x-3(x-1)=-1 solve by substitution
Answers
Answer:
-x+3
Step-by-step explanation:
Distribute -3:
2x-3x+3
Collect like terms:
-x+3
The pre-image of pentagon PENTA is rotated 90° clockwise about the origin to create the image of pentagon P'ENTA. Which statement is true?
A. The sum of the angle measures of pentagon PENTA are less than the sum of the angles measures of pentagon P'ENTA
B. After the rotation has been completed, all of the coordinates of the image will be in Quadrant
C. Each side length of pentagon P'ENTA' is twice as long as each corresponding side length of pentagon PENTA.
D. The area of pentagon PENTA is the same as the area of pentagon P'E'NTA
Answers
Substitution 8th grade math homwork. 1 question
First person to get it answer gets reward
Answers
Answer: (5, 11)
Step-by-step explanation:
y = 2x + 1
x + y = 16
Substitute 2x + 1 for y in 'x + y = 16'
x + y = 16
x + (2x + 1) = 16
3x + 1 = 16
Subtract both sides by 1
3x = 15
Divide both sides by 3
x = 5
Now to find y
Since we know what x is, we can use one of the equations and substitute 5 for x. I'll use both to show that you get the same answer.
Second equation:
x + y = 16
5 + y = 16
Subtract both sides by 5
y = 11
First equation:
y = 2x + 1
y = 2(5) + 1
y = 10 + 1
y = 11
The solution would be (5, 11)
Answer:
(5, 11) point form
x=5,y=11 equation form
Step-by-step explanation:
KEVIN USES EACH OF THE DIDGETS 5,7,4 AND 9, ONCE AND ONCE ONLY. TO MAKE FOUR DIDGET NUMBERS. WHATS THE LARGEST AND SMALLEST NUMBER HE CAN MAKE?
Answers
Answer:
9754 and 5794
Step-by-step explanation:
Answer:
Largest - 9,754
Smallest - 4,579
Step-by-step explanation:
Measure of Pairs of Angles: Calculate the measure for
160 degrees
or
20 degrees
or
180 degrees
or
90 degrees
Answers
The angle vertical to 160 is also 160.
So you have 320
You have 320 out of a full circle, 360.
If there's two angles left, equal to each other
Then they each would be 20 degrees.
I'm not sure what you tried to solve for but I guess this is a simple rundown of the image.
Answer:
The remaining angles are 20°, 160° and 20°
Step-by-step explanation:
Since a circle has 360° and one angle is know, the remaining angles can be found.
Angle U = 160° and the angle in the opposite side must be equal to Angle U so the angle opposite to U is 160° as well.
The remaining two angles are equal to each other and since the total degrees must be 360° and 2 angles are known, we can solve for the remaining angles.
Let's say the remaining angles are values "x".
360° must equals 160° + 160° + x + x
360 = 160 + 160 + x + x
360 = 320 + 2x
40 = 2x
x = 20
The remaining two angles are 20°
I am a fraction with a denominator of 7 and a whole numerator. I am greater than 2/5 and less than 1/2. What fraction am I?
Answers
Answer:
3/7
Hope that helps!
Step-by-step explanation:
9514 1404 393
Answer:
3/7
Step-by-step explanation:
As a fraction with a denominator of 7, the value 2/5 would have a numerator of ...
(2/5)(7) = 2.8
Similarly, the fraction 1/2 would have a numerator of ...
(1/2)(7) = 3.5
The only whole number between 2.8 and 3.5 is 3.
The fraction of interest is 3/7.
Maplewood Supply received a $5,270 invoice dated 4/15/10. The $5,270 included $270 freight. Terms were 3/10, 2/30, n/60.
a. If Maplewood pays the invoice on April 27, what will it pay?
b. If Maplewood pays the invoice on May 21, what will it pay?
Answers
Answer:
The invoice gets paid after 12 days, so mapplewood will get a 3% discount (3/30, 3% off if paid within 30 days). I assume that Freight doesn't get a discount, so I subtract it from the invoice value:
$5250-$250 (freight)=$5000
Discounted invoice becomes:
$5000-3%*5000(discount)=$4850
Add the freight back to the new invoice:
$4850+$250=$5,100 if paid on April 27
B) the invoice gets paid after 36 days, so the invoice gets paid in full ( n/60; in other words, invoice paid in full if paid within 60 days, therefore $5,250)
Step-by-step explanation:
PLEASE HELP!!! DUE SOON!!!
Answers
Answer: x=0
Step-by-step explanation: 0=-x^7
-x^7=0
x^7=0
so answer is : 0
A payment of $3,900.00 increases to $5,266.00.
What is the % increase?
Answers
Answer:
29.8058% different
Step-by-step explanation:
brainliest?????
Pending Review Question 7
Alex borrowed $3500 from two banks. One bank charged a simple interest of 8% and another bank
charged a simple interest of 12%. If he paid a total interest of $332 for one year, find the amount that he
borrowed from each bank.
Answers
Answer:
$ 2,200 for 8%, $ 1,300 for 12%
Step-by-step explanation:
I=PRT
Let Bank 1 be x
332= x (8%) + (3,500-x) 12%
332= x (0.08) + (3,500-x) 0.12 change the percent to decimal
332= 0.08x + 420 - 0.12x
0.04x= 420-332
x= [tex]\frac{88}{0.04}[/tex]
x= 2,200 (Bank 1)
Bank 2= 3,500-Bank 1
Bank 2= 3,500- 2,200
Bank 2= 1,300
What is the hcf of 27, 36, 54
Answers
Please anyone need help on this
Answers
Answer:
2√5
good luck, i hope this helps :)
Please help!
What is the value of x?
Answers
Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.40.
Find P(E or F) if P(E and F) = 0.05.
P(E or F) = (Simplify your answer.)
Answers
Answer:
[tex]P(E\ or\ F) = 0.60[/tex]
Step-by-step explanation:
Given
[tex]P(E) = 0.25[/tex]
[tex]P(F) = 0.40[/tex]
[tex]P(E\ and\ F) = 0.05[/tex]
Required
Determine P(E or F)
This is calculated using:
[tex]P(E\ or\ F) = P(E) + P(F) - P(E\ and\ F)[/tex]
[tex]P(E\ or\ F) = 0.25 + 0.40 - 0.05[/tex]
[tex]P(E\ or\ F) = 0.60[/tex]
1/2x= Please tell me the anwser
Answers
Answer i think its 0.5 i searched it and thats what it said
Step-by-step explanation:
I need help fast like i apericiate the help i just dont get this
Answers
Answer:
30
Step-by-step explanation:
Since this is a right angle, we can use trig functions
Cos theta = adjacent side/ hypotenuse
cos ? = 20/23
Take the inverse cos of each side
cos ^-1 (cos ?) = cos ^-1(20/23)
? =29.59184579
To the nearest degree
? = 30
Bob wants to buy a TV that costs $100. He plans to save $5 per week. How many weeks w will it take Bob to save $100?
Answers
Answer:
he will have to save 5 dollars for 20 weeks
Step-by-step explanation:
5 x 20 = 100
help me pliss
which one is correct?
Answers
Math Problem 30 points please help
Answers
Answer: One solution
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
they intersect at 1 point
Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus
spells a word correctly and has the opposite score. Which is the correct way to represent the opposite of
Liliana's score is equal to Marcus's score"?
0 -18-18
O-(-18) --18
-(18) --18
-(-18) - 18
Answers
Answer:
The answer is B or -(-18) = 18
Step-by-step explanation:
on Edg 2021
Answer:
D
Step-by-step explanation:
Cuz I did it on a test and I got it right.
60d+65n=2800
50d+45n=2150
Answers
we can put this equation into the first one,
So we have equation 60(43-(9/10)*n)+65n=2800
Solving that we get n=20
60d+65*20=2800
d=25
So the answer is d=25 and n=20
Complete the table:
6,000
meters
kilometers
8,000
9,000
5
7
Answers
Answer:
Remember while answering, 1 kilometer = 1,000 meters
5,000 ⇒ 5
6,000 ⇒ 6
7,000 ⇒ 7
8,000 ⇒ 8
9,000 ⇒ 9
Step-by-step explanation:
1 kilometer is 1,000 meters because "kilo" means 1,000
Knowing this we can make an equation to figure this out
When we know x, or meters, we can do y = x/1,000
When we know y, or kilometers, we can do x = 1,000y
There are 21 female performers in a dance recital. The ratio of men to women is 4:7. How many men are in the dance recital?
Answers
Answer:
12
Step-by-step explanation:
let x be the number of men
4:7 = x:21
4/7 = x/21
7x = 84
x = 12
Really need help on this please
Answers
Answer (5,9)
Step-by-step explanation:
that is the answer