Answers
Answer:
The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].
Step-by-step explanation:
The equation of the parabola in intercept form is defined by following formula:
[tex]y = a\cdot (x-r_{1})\cdot (x-r_{2})[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]a[/tex] - Vertex constant.
[tex]r_{1}, r_{2}[/tex] - Intercepts of the parabola.
According to the graph, we find that intercepts are 0 and 4, respectively, and a point in the parabola is [tex](x,y) = (3, 2.25)[/tex]. If we know that [tex]r_{1} = 0[/tex], [tex]r_{2} = 4[/tex] and [tex](x,y) = (3, 2.25)[/tex], then the vertex constant is:
[tex]a = \frac{y}{(x-r_{1})\cdot (x-r_{2})}[/tex]
[tex]a = -\frac{3}{4}[/tex]
The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].
Related Questions
factor the trinomial 6y^2+19y+15?
Answers
Answer:
6y^2+43
Step-by-step explanation:
6y^2+(19+15)
Answer:
(2y+3)(3y+5)
Step-by-step explanation:
6y^2+19y+15
Factor the expression by grouping. First, the expression needs to be rewritten as 6y^2+ay+by+15. To find a and b, set up a system to be solved.
a+b=19
ab=6×15=90
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 90.
1,90
2,45
3,30
5,18
6,15
9,10
Calculate the sum for each pair.
1+90=91
2+45=47
3+30=33
5+18=23
6+15=21
9+10=19
The solution is the pair that gives sum 19.
a=9
b=10
Rewrite 6y^2+19y+15 as (6y^2+9y)+(10y+15).
(6y^2+9y)+(10y+15)
Factor out 3y in the first and 5 in the second group.
3y(2y+3)+5(2y+3)
Factor out common term 2y+3 by using distributive property.
(2y+3)(3y+5)
Enter the correct answer in the box.
Use the quadratic formula to solve the equation X(-2x – 11) = -3.
Replace m, n, and p with the correct values.
Answers
Answer:
I got it correct and this is the right answer:
The roots of the given quadratic equation are (- 11 ± √145)/4. Therefore, m = - 11, n = 145, and p = 4.
What is a quadratic equation?"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."
The given quadratic equation is:
x(- 2x - 11) = - 3
⇒ - 2x² - 11x = - 3
⇒ 2x² + 11x = 3
⇒ 2x² + 11x - 3 = 0
⇒ x = [- 11 ± {√(11²) - 4×2×(- 3)}]/(2 × 2)
⇒ x = [- 11 ± {√121 + 24}]/4
⇒ x = (- 11 ± √145)/4
Therefore, for the given quadratic equation, m = - 11, n = 145, and p = 4.
Learn more about a quadratic equation here: brainly.com/question/27255597
#SPJ2
The graph of a cosine function is shown. Which two points on the midline of the function are separated by a distance of one period?
Answers
Answer: (pi/8, 1) and (5*pi/8, 1)
Step-by-step explanation:
First, the midline is a horizontal line that cuts the graph in two halves.
In this case, we can see that the maximum of the function is y = 2.5, and the minimum is y = -0.5
The difference is:
Diff = (2.5 - (-0.5)) = 3
If we subtract half of the difference (3/2 = 1.5) to the maximum, we get the midline.
Then:
midline: y = 2.5 - (3/2) = 1
the midline is the line y = 1
Now, a period T is such that:
Sin(x) = Sin(x + T)
Two points that are in the midline and that are separated by a period will be two points on the line y = 1, and that are in corresponding parts of the graph.
Here the two points are, counting from left to right, the third and the 11th.
(both of them are in the line y = -1 and in the negative slope part).
The points are:
(pi/8, 1) and (5*pi/8, 1)
Answer:
Here is the correct answer from the other Brainly Answer if you don't know what points you have to mark :) - Edmentum/Plato btwSomeone please help I really appreciate it
Answers
Answer:
The 12 represents the length by width (the 4 by 3).
The 5 represents the height of the figure.
We would use 12 x 5 if we wanted to find the volume. (W x L x H)
Miranda conducted a survey on how many hours per day students spend surfing the internet versus how many pets they have
She surveyed ten of her classmates and recorded the data in the scatter plot below.
which equation
y=-6.3x+0.4
y= -7.4x+ 0.7
y= 0.7x + 7.4
y= 0.4x + 6.3
Answers
answer
y=-7.4x+0.7
Step-by-step explanation:
PLEASE HELP FAST MEAN MEDIAN AND MOVE I WILL GIVE BRAINLIST AND EXTRA POINTS
Answers
Answer:
mode; 8
mean; 5
median; 8
Step-by-step explanation:
Which graph can be defined by the function y = -6x +
1?
Click on the correct graph.
A)
-15
c)
D)
15
15
10
-10
-15
Answers
Answer: The answer is A I am 100% sure
Step-by-step explanation:
The expression mc022-1.jp is equivalent to 3(x)+9. 3(x)+3(9). 3(x) – 9. 3(x) – 3(9).
Answers
Answer:
Step-by-step explanation:
its D. 3(x)-3(9)
Answer:
I think its D
Step-by-step explanation:
Srry if this is wrong
Have a nice day!!!!
（*^_^*）
pleaee help due pretty soon
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Straight lines.
Since,
y-y1 = m(x-x1)
hence the option B.) is correct.
====> y-3 = 6 (x+8)
PLEASE HELP THIS IS DUE SOON <33
Find the least possible measure of the third side of a triangle with the given side lengths if the missing measure is a whole number. The given side lengths are 7 in and 11 in.
Answers
Answer:
5 inches
Step-by-step explanation:
Theorem states that the smaller two sides of a triangle have to be greater than the biggest side.
The least possible answer would be 5 inches.
Can anyone help me with this question please ?
I’ll mark you as a brainliest
Answers
The McDonald's Play Place is going to increase its ball pit size to allow for more fun! The ball pit was originally 10 feet by 12 feet. They have decided to increase each side by the same amount. Express the area of the new pit as a polynomial in simplest form.
Answers
Answer:
A = x² + 22x + 120
Step-by-step explanation:
Since the ball pit was originally 10 feet by 12 feet and each side is increased by the same amount which we would call x, the new length of sides are thus 10 + x and 12 + x respectively.
The area of the new pit is thus A = (10 + x)(12 + x), since it is a rectangle.
Expanding the brackets, we have
A = 10 × 12 + 10x + 12x + x²
collecting like terms, we have
A = 120 + 22x + x²
A = x² + 22x + 120
Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD is a rhombus.
Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point M. Sides A B and D C are parallel and sides B C and A D are parallel. A square is drawn around point M.
Statements
Reasons
1. ABCD is a parallelogram 1. given
2. ∠AMB, ∠BMC, ∠CMD, and ∠DMA are right angles 2. given
3. ∠AMB ≅ ∠BMC ≅ ∠CMD ≅ ∠DMA 3. right angles are congruent
4. AC bisects BD;
BD bisects AC; 4. diagonals of a parallelogram bisect each other
5. AM ≅ MC, MB ≅ MD 5. definition of a bisector
6. ? 6. SAS congruency theorem
7. AB ≅ BC ≅ CD ≅ DA 7. CPCTC
8. figure ABCD is a rhombus 8. definition of a rhombus
△ABC ≅ △ADC ≅ △BAD ≅ △BCD
△AMB ≅ △CMB ≅ △CMD ≅ △AMD
△ABC ≅ △ADC ≅ △AMD ≅ △BMC
△AMB ≅ △CMD ≅ △BAD ≅ △BCD
Answers
The missing statement which is statement 6 is; △AMB ≅ △CMB and ≅ △CMD ≅ △AMD
How to carry out a two column proof?We have been given several statements and reasons in the given two column proof to prove that ABCD is a rhombus.
Now, the only missing parameter is statement 6 which has its' reason as SAS congruency theorem.
From all the reasons and statements given before statement 6, we can arrive at the conclusion that;△AMB ≅ △CMB and ≅ △CMD ≅ △AMD
Read more about two column proof at; https://brainly.com/question/1788884
#SPJ5
Answer:
B: △AMB ≅ △CMB ≅ △CMD ≅ △AMD
Step-by-step explanation:
edg
Please help! 20/20. Will give brainliest! Spam answers will not be tolerated!
Factor. 4x² + 8x + 4
Answers
Answer:
4(x+1)^2
Step-by-step explanation:
i hope this helps :)
[tex]{ \sf{ \underline{ \red{factorise{ \: \: 4 {x}^{2} + 8x + 4}}}}}[/tex]
[tex]{ : { \implies{ \sf{ \green{4 {x}^{2} + (4x + 4x) + 4}}}}} \\ \\ \\ { : { \implies{ \sf{ \green{4 {x}^{2} + 4x + 4x + 4}}}}} \\ \\ \\ { : { \implies{ \sf{ \green{4x(x + 1) + 4(x + 1)}}}}}[/tex]
[tex]{ : { \implies{ \sf{ \green{(4x + 4)(x + 1)}}}}} \\ \\ \\ { :{ \implies{ \sf{ \green{4(x + 1)(x + 1)}}}}}[/tex]
If y=2x and 3x – 3y = 2, then x
Answers
Answer:
x = - 2/3
Step-by-step explanation:
2x = y
3x - 6x = 2
- 3x = 2
- 3x ÷ - 3 = 2 ÷ - 3
x = 2 ÷ - 3
x = - 2/3
PLEASEEEEE HELPPPPPO!!!!
Answers
Answer:
Search it
Step-by-step explanation:
Duh............................................................
Haley and her family went on a vacation. To get to the beach, they drove for 3 hours
and 25 minutes. When they headed back home, it took them 230 minutes to get home.
Did it take longer to get to the beach or to get home from the beach?
Answers
Answer:
it took longer to get to the beach
Step-by-step explanation:
they drove to the beach for 3 hours and 25 minutes and it took 55 minutes less to get home
Answer:
it took longer to get back home
Step-by-step explanation:
Which choice is equivalent????
Answers
Answer:
B) [tex]2\sqrt{21}[/tex]
Step-by-step explanation:
[tex]\sqrt{14} *\sqrt{6} =\\\sqrt{84} \\2\sqrt{21}[/tex]
what number is 35% of 56
show work
Answers
Answer:
35% = 0.35
56 times 0.35 = 19.6
Answer is 19.6
Step-by-step explanation:
Answer:
19.6
Step-by-step explanation:
35% = 0.35
56 times 0.35 = 19.6
Answer is 19.6
what is the answer please
A line contains the point (-2, 2) and isparallel to the line y = ½x + 8. What is the
equation of this parallel line?
Answers
Answer:
Step-by-step explanation:
y - 2 = 1/2(x + 2)
y - 2 = 1/2x + 1
y = 1/2x + 3
THIS IS DUE IS 16 MINUTES SOMEONE HELP PLZ
Answers
Answer: The answer is A
Step-by-step explanation:
Answer:
The answer is 34.6, or A.
Step-by-step explanation:
The formula for area is pi*r*r. This means that you will have to take the area, or A, and do this: [tex]\sqrt{\frac{a}{pi} }[/tex]. That would be that radius, so then multiply that by 2*pi, and that would give an answer of approximately 34.6.
tap A fills a tank in 6 hours tap B fills it in 8 hours and tap C empties it in 10 hours. starting with an empty tank and all the three taps are opened find how long it takes to fill the tank?
Answers
Answer:
It will take 5 hours and 5 minutes to fill the tank
Step-by-step explanation:
Here, we want to get the time taken to fill the tap
Let us have the rate per hour
A fills in 6 hours; so the fraction filled in an hour is 1/6
B fills in 8 hours, so the fraction filled in an hour is 1/8
C empties in 10 hours, so the fraction removed per hour is 1/10
So factoring the supply and removal, where removal is on a negative basis
we have it that in an hour, the fraction retained is;
1/6 + 1/8 - 1/10
= (20 + 15 - 12)/120
= 23/120
So this is the fraction retained per hour
The number of hours it will take to have a whole is simply the reciprocal of this fraction
That would simply be 120/23 = 5 5/23
5 hours and 5 minutes
f(x) = 4(2)^-x − 3
pls help
Answers
Answer:
− 2
Step-by-step explanation:
4 x 2 ^−2 -3 =-2
HELP ME PLZZZZZ GUYS PLZZZZZZZZ
Answers
The answer for the following question is Option 1 - 700 + 9 + 0.1 + 0.004
Answer: 700+9+0.1+0.004
Step-by-step explanation:
700+9=709.000
0.1+0.004=0.104
709.000+0.104=709.104
Hope this helps :)
Find an expression which represents the difference when (10x−8y) is subtracted from (-4x-9y) in simplest terms.
Answers
Answer:
-14x - y
Step-by-step explanation:
-4x - 9y - (10x - 8y)
-4x - 9y - 10x + 8y
-14x - y
what is the GCF (greatest common factor) of 12 and 27.
Answers
Step-by-step explanation:
The GCF of these numbers is 3 i did found it by prime Factorization 12 prime Factorization is 3x2x2 and for 12 is 3x3x3 so 3 it is the same of both so us it and bye have a good day
Answer:
Since u got this answer could u mark me and thank you
Step-by-step explanation:
PLEASE HELP ill give BRAINLIST
Answers
Answer:
0.02562 poti sami dai coroana pls
Step-by-step explanation:
Question is on picture
Please help
Zoom in if needed :D
Answers
Need help with this his one!
Answers
Answer:
a) 6(6x-5)
=(6×6x) - (6×5)
=36x-30
b)11y+4y+10y
=y(11+4+10)
=y(25)
=25y
A politician claims that a proposal for a new traffic law is broadly supported by both political parties and that a person from either political party is equally likely to support the proposed legislation. He cites two recent polls that said 70% of a random sample of 550 people from his political party supports the law, and 65% of a random sample of 420 people from the other political party supports the law. The 95 percent confidence interval for the difference in population proportions is (–0.010, 0.110). Based on the interval, is the politician’s claim justified?
Answers
Answer:
Based on the 95% confidence interval for the difference in population proportion, there is convincing statistical evidence that he is correct
Step-by-step explanation:
The proportion from the sample of people from his party that support the law = 70%
The number the members of the politicians political party that support the law = 550 people
The proportion from the sample of people from the other party that support the law = 65%
The number the members of the politicians political party that support the law = 420 people
The confidence level of the test = 95%
The given confidence interval for the difference in proportion, C.I. = (-0.010, 0.110)
Given that the 95% confidence interval for the difference in population proportion ranges from -0.010, to 0.110, it is 95% certain that 0 is among the likely difference in proportion between the two populations and therefore, there is sufficient statistical evidence to suggest that there is no difference in the proportion of the members of either political that support the proposed new traffic law.