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
A school has 8 periods at day each of 45 minutes duration. How long would each period be ? The school has 6 periods a day? (assuming the number of school hours to be the same)
Answers
Answer:
The school has 6 periods a day needs 1 hour for each.
Step-by-step explanation:
8 period =45×8=360 minute
6 perod =360/6=60minute
12 of the students in the art class like to draw animals these 12 students make up 24% of the art class how many students are in the art class
Answers
Answer:
50 students in total or X=50
Step-by-step explanation: 12 is 24% of X
We can make this into a box-like figure
12 24
X 100 X is the missing number
We then multiply 12 by 100 which equals to 1,200.
We then divided the 1,200 by 24, this results in your X which equals to 50.
X=50 students
who can help in guiding me in any mathematicss question because I'm not good at that at all
Answers
Answer:
i can help
Step-by-step explanation:
The graph of y=e^x is transformed as shown in the graph below. Which equation represents the transformed function?
Y= e^-3
y=e* +3
y=e*+3
y=x +3+3
Answers
Answer:
its B y=e^x+3
Step-by-step explanation:
Mark me as brainliest!
5 in.
6 in.
5
in.
10 in.
18 in.
How do I find the volume of it
Answers
Answer:
545
Step-by-step explanation:
HELP ME Write and solve a proportion to find y.
Answers
Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).
[tex]d'\propto d[/tex]
[tex]d'=kd[/tex]
[tex]\dfrac{d'}{d}=k[/tex]
Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is
[tex]k=\dfrac{OB'}{OB}[/tex]
[tex]k=\dfrac{36}{16}[/tex]
[tex]k=\dfrac{9}{4}[/tex]
We know that,
[tex]k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}[/tex]
[tex]\dfrac{9}{4}=\dfrac{A'C'}{AC}[/tex]
[tex]\dfrac{9}{4}=\dfrac{27}{y}[/tex]
[tex]9\times y=27\times 4[/tex]
Divide both sides by 9.
[tex]y=\dfrac{27\times 4}{9}[/tex]
[tex]y=3\times 4[/tex]
[tex]y=12[/tex]
Therefore, the value of y is 12.
10. Walter makes a cable payment of $84 each month. Which table
represents the relationship between m, the number of months,
and c, the amount he has paid for cable for that length of time?
Answers
find the length of the missing side
Answers
sorrbut is this phythagroas theorm
Answer:
[tex]\sqrt{51}[/tex]
Step-by-step explanation:
It's a right triangle so, [tex]a^{2} +b^{2} =c^{2}[/tex]
a=7
c=10
b=?
49+[tex]b^{2}[/tex]=100
100-49=[tex]b^{2}[/tex]
51=[tex]b^{2}[/tex]
b=[tex]\sqrt{51}[/tex]
PLS HELP ME AND MAKE SURE TO SHOW HOW U GOT UR ANSWER
Answers
Answer:A.112
each piece of pizza has 28 pieces of pepporoni
so you would do 4*28 to get 112
Step-by-step explanation:
Jackie used 4 apples and 16
strawberries to make a fruit pie.
What was the ratio of the number of
apples to the number of strawberries
in the fruit pie?
Answers
Answer:
The ratio of Apples to the number of strawbarries is 4:16 or 4/16
Step-by-step explanation:
Quizziz help 9th grade please thx
Answers
(x - 9) (x-3)
Jamie is making bread with rye flour and wheat flour, using a total of 3 cups of flour. If she
has 1 cups of wheat flour, which equation represents how many cups of rye flour, r, are needed
to make the bread?
Answers
Answer:
3:1
Step-by-step explanation:
&%6#46+4636$7$-&&%$44
4. What is the experimental probability of flipping a head after
twenty flips of the coin?
Answers
Hope this helped! :)
(12.02 HC)
A line plot with the lengths of meteors is shown. Two more identical meteor measurements were added so that the total length of all meteors measured is 16 inches. What is the length of each new
meteor?
Length of Meteors
x x
X X X
Х
х
х
x x
Х
x x
Measurement in inches
O 1 inch
100
inches
o
CON
Inches
3 inches
Answers
Answer:
1 3/8 inches
Step-by-step explanation:
Total Length after adding 2 meteors of equal length = 16 inches
Let the length of the added meteor = x
To obtain the total length, we sum of each meteror multiplied by its frequency is obtained ;
(2/8)(1)+(3/8)(3)+(4/8)(2)+(6/8)(2)+(10/8)(1)+(11/8)(2)+(14/8)(2)+(15/8)(1) + 2x = 16
13.25 + 2x = 16
13.25 + 2x = 16
2x = 16 - 13.25
2x = 2.75
x = 1.375
1.375 = 1 3/8
there are 12 boys than girls in a class of 60 find the number of boys and girls
Answers
Answer:
boys : 36
girls : 24
Step-by-step explanation:
60 - 12 = 48
48 ÷ 2 = 24 (girls)
24 + 12 = 36 (boys)
A house painter uses 6 gallons of paint per day. How many gallons does the painter use in a 5 day workweek?
(please help me i will give brainliest)
Answers
Explanation: 6 gallons times 5 (days) equals 30!
Hope this helps!!:)
Answer:
30
Step-by-step explanation:
6 x 5= 30
six gallons per day times 5 work days
Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
Slugging Percentages for Leading Major League Baseball Players
0.612 0.612 0.523 0.523
0.606 0.606 0.631 0.631
0.584 0.584 0.592 0.592
0.644 0.644 0.597 0.597
0.639 0.639 0.607 0.607
0.564 0.564 0.673 0.673
Answers
Answer:
[tex]s = 0.0394[/tex]
Step-by-step explanation:
Given:
0.612 0.523 0.606 0.631 0.584 0.592 0.644 0.597 0.639 0.607 0.564 0.673
Required
Calculate the sample standard deviation
First, calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{0.612 +0.523 +0.606 +0.631+ 0.584 + 0.592+ 0.644 +0.597 +0.639 +0.607 +0.564+ 0.673}{12}[/tex]
[tex]\bar x = \frac{7.272}{12}[/tex]
[tex]\bar x = 0.606[/tex]
The sample standard deviation is then calculated using:
[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
[tex]\sum (x - \bar x)^2 = (0.612 -0.606)^2+(0.523 -0.606)^2+(0.606 -0.606)^2+(0.631 -0.606)^2+(0.584 -0.606)^2+(0.592 -0.606)^2+(0.644 -0.606)^2+(0.597 -0.606)^2+(0.639 -0.606)^2+(0.607 -0.606)^2+(0.564 -0.606)^2+(0.673 -0.606)^2[/tex]
[tex]\sum (x - \bar x)^2 = 0.017098[/tex]
So, we have:
[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
[tex]s = \sqrt{\frac{0.017098}{12-1}}[/tex]
[tex]s = \sqrt{\frac{0.017098}{11}}[/tex]
[tex]s = \sqrt{0.00155436363}[/tex]
[tex]s = 0.0394[/tex] -- approximated
what is 067÷ 32.16?
Answers
Answer:
2.08
Step-by-step explanation:
Answer:
2.0833333333333
Step-by-step explanation:
use calculator
The product of a number and -3 increased by 8 is no less than 35
Answers
hope this helps!
The required inequality, of a product of a number and -3 increased by 8 is no less than 35 is -3x + 8 ≥ 35.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Let the number be x,
According to the question,
The product of a number and -3 increased by 8 is no less than 35.
So,
-3x + 8 ≥ 35
Thus, the required inequality, of a product of a number, and -3 increased by 8 is no less than 35 is -3x + 8 ≥ 35.
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There are 30 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
Answers
Sally collected 32 coins. The ratio of Sally’s coins to Bill’s coins is 4 : 7. If Sally and Bill each double the number of coins they have now, what is the ratio of Sally’s coins to Bill’s coins?
Answers
Answer:
64 S
----
112 B
Step-by-step explanation:
The number of coins Sally and Bill will be 64 and 112 and the ratio will remain the same.
What is the ratio?
It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that Salley collected 32 coins, the ratio of Sally’s coins to Bill’s coins is 4: 7, and Sally and Bill each double the number of coins they have now.
Suppose the number of coins that Sally and Bill will be 4x and 7x respectively.
If Sally has the 32 coins and if she doubles the coins she has 64.
4x = 64
x =16
Sally’s coins,
4x = 4 × 16 =64
Bill’s coins,
7x =7× 16 = 112
Thus, the number of coins Sally and Bill will be 64 and 112 and the ratio will remain the same.
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180% is equivalent to what decimal value
Answers
hope this helps :)
Answer:
1.80
Step-by-step explanation:
1%=0.01
10%=0.10
100%=1.00
how do I Round my answer to the nearest whole number?
Answers
Answer:
So when you are round here is a trick or easy way to round, if 1-4 then round down. If it is 5-9 then round up.
Step-by-step explanation:
It might take time but when rounding you mostly round Depending on if your question saw round to the nearest tens or ones.
Help with both? PLEASE lol this is a review and we’ve been in class for 40 mins I’ve got nothing
Answers
Answer:
Step-by-step explanation:
[tex]2) y^{\frac{3}{2}}=y^{3*\frac{1}{2}}\\\\=(y^{3}}^{\frac{1}{2}}\\\\=\sqrt{y^{3}}[/tex]
b
[tex]3)a^{\frac{2}{3}}=a^{2*\frac{1}{3}}\\\\=(a^{2})^{\frac{1}{3}}\\\\=\sqrt[3]{a^{2}}[/tex]
c
what is 25 divided by 465d
Answers
Answer:
0.0537634409. This is your answer.....
Hope it helps!!!!!
Answer:
465 divide 25 = 18.6
25 divide 465 is 0.05347634
Step-by-step explanation:
Someone please help
Answers
Answer:
help with what?
Step-by-step explanation:
plz tell me the question and i can help :)
In an art class, 40% of the members are boys. 20% of the boys and 50% of the girls have learnt how to play a piano. If there are 150 members in the class, how many members have learnt to play piano?
Answers
Answer:
57
Step-by-step explanation:
Tom wants to invest $500. He invests in a company that predicts his investment will double in value every 3 years. This situation can be modeled by the
function f(x) = 500 -23 where x represents the number of years Tom leaves his money with the company. Which graph models this situation?
Answers
Answer:
Graph A bc it's the only graph that shows that every 3 years his investment doubles.
we know 8 x 5 = 40
so which of the following statements are also true.
A: 8 is a factor of 40
B: 5 is a multiple of 8
C: 5 is a factor of 40
Answers
Answer:
A and C are true
Step-by-step explanation:
because 8*5=40 so 8 and 5 both are factors of 40
the answer is c
Step-by-step explanation:
if you count by fives. 5 10 15 20 25 30 35 40. you get 40.
joe bought 8 tickets to indoor trampoline park for 60$
Answers
If this answered help you please consider marking it as brainliest :)
