Answers
Answers:
a = 3
b = 3
c = -6
=====================================
Explanation:
The roots are x = 1 and x = -2. This leads to the factors x-1 and x+2 respectively.
This is because something like x = 1 becomes x-1 = 0 after subtracting 1 from both sides. For x = -2, we add 2 to both sides getting x+2 = 0.
The factorization is y = a(x-1)(x+2)
Plug in (x,y) = (2,12) and solve for 'a'
y = a(x-1)(x+2)
12 = a(2-1)(2+2)
12 = a(1)(4)
12 = 4a
12/4 = a
3 = a
a = 3
So we have y = a(x-1)(x+2) update to y = 3(x-1)(x+2)
--------------------------------------
The last thing we need to do is expand everything out (use the FOIL rule then distributive rule) to get the equation into standard form
y = 3(x-1)(x+2)
y = 3(x^2+2x-1x-2)
y = 3(x^2+x-2)
y = 3x^2+3x-6
Comparing this to y = ax^2+bx+c shows that:
a = 3
b = 3
c = -6
The graph is below.
Related Questions
What is the image point of ( – 7,-2) after a translation left 5 units and down 4
uits?
Submit Answer
PLS HELP ASAP
Answers
Answer:
(-12,-6)
Step-by-step explanation:
A translation 5 units to the left (x-5)
And 4 units down ( y-4)
(-7-5, -2-4)
(-12,-6)
What is the vertex for this function? y = 3x^2 - 6x + 12
A. (1,9)
B.(-1,21)
C. (1,21)
D. (-1,9)
Answers
D (-1,9) i did it in calcukator
Can someone help me with this question?
Answers
Answer:
y = ± 15
Step-by-step explanation:
Given
y² = 225 ( take the square root of both sides )
[tex]\sqrt{y^2}[/tex] = ± [tex]\sqrt{225}[/tex]
y = ± 15
That is y = 15, y = - 15
Since 15 × 15 = 225 and - 15 × - 15 = 225
y² = 225
y = √225
y = 15
y²= 225
y = √225
y = -15
y = ±15
Therefore values of y are 15 and -15
Must click thanks and mark brainliest
if tolu collects a loan of #250,000 from a bank at the rate of 11 whole number 1 over 2% interest how much will she pay as interest at the end of the year
Answers
Answer:
# 28750
Step-by-step explanation:
Intrest = P. A. * Intrest Rate * Time
Intrest = 250000 * 11.5/100 = 28750
what's 14 1/4 in lb into ounces
Answers
Answer:
228
Step-by-step explanation:
We are asked to convert 14 1/4 pounds into ounces, to do so, we need to multiply the amount of pounds by 16.
14 1/4 or 14.25
14.25 * 16
==> 228
Meaning there are 228 ounces in 14 1/4 pounds
3x -4 = x -8 equation
Answers
[tex]\\ \sf\longmapsto 3x-4=x-8[/tex]
[tex]\\ \sf\longmapsto 3x-x=8+4[/tex]
[tex]\\ \sf\longmapsto 2x=12[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{12}{2}[/tex]
[tex]\\ \sf\longmapsto x=6[/tex]
Write an expression in simplified form for the area of each rectangle. Width: 5+2y Length:5
Answers
Answer:
25+10y
Step-by-step explanation:
The area of a rectangle is
A = l* w where l is the length and w is the width
A = 5(5+2y)
Distribute
A = 25+10y
Area of rectangle = Length * Width
Length is 5
Width is 5 + 2y
⇛Area = 5(5+2y)
⇛Area = 25 + 10y
a step by step answer please
Answers
Answer:
7.92 m.
Step-by-step explanation:
Mean height = ∑(f . x) / ∑f where x is the midpoint and f the frequencies
The midpoints for the heights are:
2 for frequency 8 ( 0 + 4)/ 2 = 2
6 for .. 21
10 for .. 12
14 for .. 7
18 for .. 2
So the mean is:
[(2*8) + (6*21) + (10*12) + (14*7) + (18*2) ] / (8 + 21+12+7+2)
= 396 / 50
= 7.92 m.
plot the inequality on the number line
Answers
Answer:
Hope this helps!
PLZ HELP NOW!
Geoffrey is trying to earn $50 to buy a video game. He has saved $14.25. He earns $3.75 per hour cleaning windows with his uncle and he earns $6.50 per hour working at the grocery store. Can Fred buy the video game if he works with his uncle for 3 hours and at the grocery store for 4 hours? Use the inequality 3.75y + 6.50z + 14.25 ≥ 50.
Yes, because the total will be $51.50.
Yes, because the total will be $60.25.
No, because the total will be $24.50.
No, because the total will be $37.25.
Answers
Answer:
yes the total will be 51.50
Step-by-step explanation:
3.75(3) + 6.50(4) + 14.25 [tex]\geq[/tex] 50.
11.25 + 26 + 14.25 = 51.50
Answer:
Yes, or A
Step-by-step explanation:
You can go onto a graphing calculator and input that inequality to find the solution, but you can multiply the 3.75 by 3 because he works with his uncle for 3 hours, and multiply the 6.5 by 4 to get 11.25 and 26. You add these together to get 37.25 and then add the 14.25 from his savings to get 51.50.
51.50 is how much he will have, and this is greater than 50.
what is 40-32divited by8=5x-2
Answers
40-32 is equal to 8.
8=5x-2 is equal to 2.
8/2 is 4.
What is −1280 as a decimal?
Answers
Answer:
-1280.0
Step-by-step explanation:
It is a whole number
if you want to show it as a decimal,
put ' .0 ' at the end of the whole number. That is,
=> -1280.0
Find an equation for the line of best fit for the table below.
Answers
Answer:
[tex]y = 0.4x + 3.8[/tex]
a person has 2 balls, a second one had (2)^2 = 4 balls, a third had (4)^2 = 16, if it continues the same way, how many balls will the tenth person have?
Wll mark brainliest whoever answers it satisfactorily!
Answers
..............................
Dilbert invests a total of $26,000 in two accounts paying 14% and 2% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $2,560.00
Answers
Answer:
$17,000 at 14% and $9,000 at 2%
Step-by-step explanation:
Let x = amount invested at 14%.
Let y = amount invested at 2%.
x + y = 26000
0.14x + 0.02y = 2560
-0.02x - 0.02y = -520
(+) 0.14x + 0.02y = 2560
-------------------------------------
0.12x = 2040
x = 17,000
x + y = 26000
17000 + y = 26000
y = 9000
Answer: $17,000 at 14% and $9,000 at 2%
Please help quick pleaseeeeeeeeeeee
Answers
Answer:
think this one
Step-by-step explanation:
the answers there
i think
Please help URGENT!!... There are 200 students in the 7th grade class at Manchester Middle School. Of these students, 22% play football, and 12% play baseball. Eight students play on both teams. What is the probability that a student plays either football or baseball? A. 30% B. 38% C. 26% D. 34%
Answers
Answer:34
Step-by-step explanation:just add the percents
Answer:
C. 26%
Step-by-step explanation:
We can sort students into three categories: Football Only, Baseball Only, and students who play Both.
Firstly, let's turn the percentages into numbers to make the calculations easier:
To find 22% convert into decimal and multiply:
0.22 x 200 = 44 TOTAL Football players
Similarly, 0.12 x 200 = 24 TOTAL Baseball players.
The question then tells us that 8 students play both.
This means there are 44-8 = 36 students who play ONLY football, and
24-8= 16 students who ONLY play baseball:
Football Only: Both: Baseball Only:
36 8 16
44 Total Football and 24 total baseball
The question asks the probability of a student playing EITHER football OR baseball which therefore does not include the students who play both.
Now we can add up all these numbers of students which gives us:
36 + 16 = 52
Now to find the percentage we just divide 52 by 200:
52/200 = 0.26 which is equivalent to 26%.
Therefore the answer is C. 26%
Hope this helped!
if the discount rate in a article is 15% and discount amount is 180.whats the marked price of the article?
Answers
The entrance fee to a local waterpark is $34 per person. At the waterpark, you can rent a raft for $1.50 per hour. Which expression is equivalent to the amount it would cost Leah for h hours in the park if she rented a raft?
Answers
Answer:
Step-by-step explanation:
The choices aren't given. Be careful to give choices if the question says there are choices. It makes answering kind of iffy.
C = 34 + 1.5*h where h is the number of hours Leah was in the park.
HELP ILL GIVE BRAINLIEST (if its to small click on it and zoom in)
Answers
Answer:
The 1st solution
Step-by-step explanation:
all of the values are satisfied.
(f^3-5f+25)-(4f^2-12f+9)
Answers
Answer:
3−42+7+16
Step-by-step explanation:
if its simplify
Find the first five terms. Please solve
Answers
Answer:
a1=3, a2=6, a3=12, a4=24, a5=48
Step-by-step explanation:
a7=a*r^6=192
a10=a*r^9=1536, r^3=8, r=2 and a=3
a1=3, a2=6, a3=12, a4=24, a5=48
is the value of x=3 find the value of 4x³-2x²+3x
Answers
Answer:
99
Step-by-step explanation:
4x³-2x²+3x
4×3³-2×3²+3×3
4(27)-2(9)+9
108-18+9
99
99
=(4)(27)−2(32)+(3)(3)
=108−2(32)+(3)(3)
=108−(2)(9)+(3)(3)
=108−18+(3)(3)
=90+(3)(3)
=90+9
=99
Suppose the probability of beating your brother at checkers is 0.54, the probability of beating your sister at checkers is 0.48 and the probability of beating your sister and brother at checkers is 0.33. What is the probability you beat your sister given that you beat your brother at checkers
Answers
Answer:
1.55
Step-by-step explanation:
0.21 is the probability you beat your sister given that you beat your brother at checkers
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
The probability of beating your brother at checkers is 0.54
The probability of beating your sister at checkers is 0.48
The probability of beating your sister and brother at checkers is 0.33
We need to find the probability you beat your sister
probability you beat your sister =0.33-0.54
=0.21
Hence, 0.21 is the probability you beat your sister given that you beat your brother at checkers
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
Use the equation below to find T, if w=52, m=5, and a= 3 T= w - ma
Answers
Answer:
T=37
Step-by-step explanation:
T=w-ma
=52-5×3
=52-15
=37
If A={blue , Orange} and B={colours in a rainbow} then B is a
a : Subset of set A
b : Super set B
Answers
Answer:
super set B
Step-by-step explanation:
because rainbow have seven colors ,
where as u can say,
A is subset of B
-7 - -3 HELP PLEASE!!!!!!!!!!!!!!!
Answers
:)
Hehe
25 POINTS!!!!!! WILL GIVE BRAINLIEST!!!!! Select all the correct answers.
Which statements regarding the implications of the central limit theorem are true?
As the number of sample means decreases, the means get closer to a standard normal distribution.
For an infinite number of samples, 99.7% of the sample means would fall within the interval .
The central limit theorem holds true only for populations that are normally distributed.
For an infinite number of samples, 95% of the sample means would fall within the interval .
The mean of the population is the same as the mean of any sample taken from the population.
If the population is normally distributed, then the mean of a sample from that population will be normally distributed.
Answers
Answer:
Step-by-step explanitions:
this is true The central limit theorem holds true only for populations that are normally distributed.
this is also true For an infinite number of samples, 95% of the sample means would fall within the interval .
As the number of sample means decreases, the means get closer to a standard normal distribution.thsis is false
Cole deposits $500 into his savings account. The bank pays him 2% interest on the amount he has in his account. What expression would you
use to find the total Cole has in his account?
Answers
Answer:
500*2%=10
500+10=510
Step-by-step explanation:
Best answer gets brainliest and 5 stars
Answers
Answer:
A
Step-by-step explanation:
pgt states if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
Answer:
Does the answer help you?
