Question: The graph of a second-order polynomial is shown below, and the intercepts with the axes are marked. Explain how you can use the graph to write the polynomial as a product of linear factors (x-a)(x-b). Be sure to state the values of a and b. NEED HELP ASAP
Answers
Hello!
Here we are given a second-order polynomial, and the root form of the function.
[tex]y=a(x-c)(x-d)[/tex]
Where c and d are zeros of the function, which is where the graph intersects the x-axis.
[tex]y=a(x+4)(x-3)[/tex]
[tex]-6=a(2+4)(2-3)[/tex]
[tex]-6=-6a[/tex]
[tex]a=1[/tex]
Therefore, the equation of this polynomial would be [tex]y=(x+4)(x-3)[/tex], and the values of a and b would be the x-intercepts.
Hope this helps!
Related Questions
help, easy math. will mark brainlist!!
Answers
Answer:
It is the first one 1/3(p+45).
Answer:
choice 1) 1/3(p + 45)
Step-by-step explanation:
1/3p + 15 = 1/3(p + 45)
RS= 4y+2, ST = 3y+8, and RT = 38 what is the value of y
Answers
Answer:
y = 4
Step-by-step explanation:
Given that,
RS= 4y+2, ST = 3y+8, and RT = 38
We need to find the value of y.
As,
RT = RS+ST
Put all the values,
38 = 4y+2+3y+8
38-2-8 = 4y+3y
28 = 7y
y = 4
So, the value of y is equal to 4.
What advice would you give other students about how to solve these percent problems?
My last question for today. I hope you all had some type of enjoyment. I still have some questions up that are unanswered in the math subject so if you’d like to answer them find my name on the math subject and answer them please! You WILL get Brainliest for the correct answer.
As always, have an amazing day/night. :))
Answers
Answer:
I would make sure to note keywords in the problem/question such as (percent) off, (percent) tax, etc. These words can determine if the original number will become higher or lower after the percent is applied to the original number. For example, if there is a price for a t-shirt of $15, and there is a tax of 13%, the original price will increase. On the other hand, if there is a sale for pants at the local department store and you are buying a pair of pants that cost $25 with the sale being 10% off, the price will decrease.
v=10 e=5
2v divided by e + 4
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E=5 so 20 divided by 5=4
The answer of 2v/e is 4
Helpppppppp plsss ASAP math look at picture for details
Answers
Can someone help me with this?
Answers
Answer:
do you still need help?
Step-by-step explanation:
Pls Help!
Lauren got $321 from various relatives on her birthday. If she wants to put 20% of the money into her savings account, how much will she have left over to spend on new clothes?
Answers
Answer:
$64.20 saved
$256.80 spend on clothes
Step-by-step explanation:
321.00 x 0.20 = $64.20 saved
321.00 - 64.20 = $256.80 spend on clothes
Answer is $256.08
$321 - 20% = $256.08
HELP Easy math easy points look at the photo
Answers
Answer:
x = 60
Step-by-step explanation:
33 + 87 + 60 = 180
:))
Answer:
x = 60
Step-by-step explanation:
which graph represents the function f(x)=4|x|?
Answers
Answer:
I think this is what the graph looks like.
Step-by-step explanation:
I hope this helps.sorry if it's wrong.
Answer:
it will go through the points (-1, 4), (0,0), and (1, 4)
Step-by-step explanation:
A minute- hand of a clock is 16 in long. Find the distance traveled by the tip of the minute - hand in one hour.
Answers
8 * 8 = 64
64* 3.14 = 200.96
200.96 * 60 = 12057.6
Hope this helps (:
Find AB. Round the answer to the nearest tenth if needed.
Answers
9514 1404 393
Answer:
8
Step-by-step explanation:
The product of segment lengths to the near and far circle intersection points is the same for both "secants". AD is a tangent, so the two intersection points are the same point. This gives ...
AD² = AB·AC
144 = AB(AB +10)
We can add 25 to complete the square.
169 = (AB +5)² . . . write as a square
13 = AB +5 . . . . . . positive square root
8 = AB . . . . . . . . . .subtract 5
plz answer ASAP tysm !
Answers
Answer:
I already did
Step-by-step explanation:
Mikaela has saved $375 to purchase a new phone. This is of the total price of the phone. What is the price of the phone?
Answers
Answer:
$375
Step-by-step explanation:
If she has saved $375, and the price of the phone is also $375, then the price of the phone must be $375.
Dooren can type 2 pages of her report in 5 minutes. At this rate, how many pages could she type in half an hour?
Answers
Answer:
60 pages
Step-by-step explanation:
2pages = 5min
30 x 2 = 60
Therefore, in half an hour Doreen can type 60 pages
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You select a random sample of 100 bottles, the mean amount of water per 1-gallon bottle is 0.994 gallon, and standard deviation of the amount of water per bottle is 0.03 gallon.
You select a random sample of 50 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon.
a. Is there evidence that the mean amount is different from 1.0 gallon? (Use α-0.01.)
b. Compute the p-value and interpret its meaning
c. Construct a 99% confidence interval estimate of the population mean amount of water per bottle.
d. Compare the results of (a) and (c). What conclusions do you reach?
Answers
Answer:
We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon
Pvalue = - 2
(0.98626 ; 1.00174)
Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.
Step-by-step explanation:
H0 : μ= 1
H1 : μ < 1
The test statistic :
(xbar - μ) / (s / sqrt(n))
(0.994 - 1) / (0.03/sqrt(100))
-0.006 / 0.003
= - 2
The Pvalue :
Pvalue form Test statistic :
P(Z < - 2) = 0.02275
At α = 0.01
Pvalue > 0.01 ; Hence, we fail to reject H0.
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 99% confidence level = 2.58
Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774
Confidence interval :
0.994 ± 0.00774
Lower boundary = (0.994 - 0.00774) = 0.98626
Upper boundary = (0.994 + 0.00774) = 1.00174
(0.98626 ; 1.00174)
Kianna started her homework at 4:30 pm. She finished at 5:05 pm. How many SECONDS did it take her to finish her homework? *
1 point
Answers
Answer:
2100 second
Step-by-step explanation:
4:30 pm to minutes
4 × 60 + 30 = 240 + 30
= 270 minutes
5:05 to minutes
5 × 60 + 5 = 300 + 5
= 305
4:30 to 5:05
305 - 270
= 35 minutes
35 minutes to second
35 × 60
= 2100 second
Answer:
2100
Step-by-step explanation:
25 minutes you need to know that 60 sec =1 hour.35x60=2100
Please help take a look at this photo will give Brainly
Answers
Answer:
60 degrees
Step-by-step explanation:
On the diagram, we can see that the two angles have a dash on each of them. This means that they have the same measure.
So, if angle ABD is 60 degrees, then angle DBC would also be 60 degrees.
I hope this helps!
A population numbers 10,000 organisms initially and decreases by 4.1% each year.
Suppose P represents population, and t the number of years of growth. An exponential model for the
population can be written in the form P = a b where
P=
Answers
Answer:
[tex]y = 10000 * 0.959^t[/tex]
Step-by-step explanation:
Given
[tex]a = 10000[/tex]
[tex]r = 4.1\%[/tex]
Required
Express as an exponential function [tex]y =ab^t[/tex]
First, we calculate the value of b;
Since the population decrease, then
[tex]b = 1 - r[/tex] --- This represents decrement of decay factor
Substitute [tex]r = 4.1\%[/tex]
[tex]b = 1- 4.1\%[/tex]
[tex]b = 0.959[/tex]
So:
[tex]y =ab^t[/tex] becomes
[tex]y = 10000 * 0.959^t[/tex]
Carey is mixing a pitcher of lemonade. The table below shows how many tablespoons of lemon juice should be added to different amounts of water to make lemonade.
How many tablespoons of lemon juice should Carey add to 18 cups of water?
Answers
Explanation look at the 8 cups of water is 6 times it by 2 it’s 12
3) Determine the greatest common factor between
Xy2 and x6y2
Answers
Answer:
it would be GCF= xy^2
Step-by-step explanation:
because you have to put the lowest variable for the GCF, therefore, its only 1 x and then y^2
t/15=3 what operation is that?
Answers
Answer:
t = 45
Step-by-step explanation:
[tex]\frac{t}{15} = \frac{3}{1}[/tex]
t × 1 = 15 × 3
t = 45
Help me with this please:)
Answers
15^2 = 225
9^2 = 81
225 - 81 = 144
Square root of 144 is 12
Therefore a = 12m
Answer:
12m
Step-by-step explanation:
a+b=c
a=?
b=9m
c=15m
a+9m×9m=15m×15m
a+81=225
a=225-81
a=144
find its square root
a=12m
Can someone pls help with this
Answers
Answer: 4
Step-by-step explanation:
PLEASE ANSWER K WILL GIVE BRAINLIEST!!
topic: solving word problems involving linear inequalities in one variable.
Sarah is 4 years older than Jonalyn. Seven years ago, the sum of Sarah's age and
Jonalyn's age is greater than 26. What is the least age of Jonaly?
Answers
Answer:30
Step-by-step explanation:26+4
Michael used software to calculate the cost of materials for his project. To make these calculations, he used a ____
a.spreadsheet
b.compact disk
c.word processor
d.database
Answers
Answer:
its spreadsheet or excel
Find the height and area of the polygon. Round your answer to the nearest thousandths (Use exact values until the end).
Answers
Answer:
height 6 radicAL 2 area: 120 radical 2
Step-by-step explanation:
HELP PLZZZ HELP I’ll give u BRAINLY
Answers
Answer:
1 Factor out the common term 22.
2(x+3y)=6
2(x+3y)=6
2 Divide both sides by 22.
x+3y=\frac{6}{2}
x+3y=
2
6
3 Simplify \frac{6}{2}
2
6
to 33.
x+3y=3
x+3y=3
4 Subtract 3y3y from both sides.
x=3-3y
x=3−3y
Answer:
x=3 and y=2
Step-by-step explanation:
I hope I"m right and if I am can I be marked brainliest.
Which option identifies the systematic error in the following scenario?
Mary is measuring the weight of an object using a scale. The scale reads 2 lbs. too high for the first measurement she takes. When she takes the measurement again using the same steps, the scale again reads 2 lbs. too high.
A.) The error cannot be predicted to occur.
B.) The error can be reproduced.
C.) The error in measurement is estimated.
D.) The error amount fluctuates.
Answers
Answer:
B the error can be reproduced
Solve for the unknown values.
Answers
Answer:
y=45° x=81°
Step-by-step explanation:
the 2 angles across the outside angles sum up to the given number so just subtract 95-50= 45, with that we know subtract from the total sum of every triangle which is 180. So we add the 2 angles we have now, 50+45=99. Now we subtract, 180-99= 81.
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Part A
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
a x + 64 ≤ 120; x ≤ 56
b x + 120 ≤ 64; x ≤ –56
c x + 64 ≥ 120; x ≥ 56
d x + 120 ≥ 64; x ≥ –56
Answers
Answer:
b
Step-by-step explanation: