The quadratic equation given in the graph can be represented in these two following ways:
Factored: f(x) = 2x(x - 4).Vertex form: y = 2(x - 2)² - 8.What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this graph, the roots are [tex]x_1 = 0, x_2 = 4[/tex], hence the factored form of the polynomial is:
f(x) = ax(x - 4).
When x = 5, y = 10, hence the leading coefficient is found as follows:
10 = 5a(5 - 4)
5a = 10
a = 2.
Hence the factored form of the polynomial is:
f(x) = 2x(x - 4).
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, the vertex is at point (2,-8), hence h = 2, k = -8 and:
y = a(x - 2)² - 8
When x = 5, y = 10, hence the leading coefficient is found as follows:
10 = a(5 - 2)² - 8
9a = 18
a = 2.
Hence the equation in vertex-form is:
y = 2(x - 2)² - 8
More can be learned about quadratic functions at https://brainly.com/question/24737967
#SPJ1
2x + 5xy + 9x + 3 what is the solution to this problem?
Answer:
5xy + 11x + 3
Step-by-step explanation:
We have the expression 2x + 5xy + 9x + 3 and are asked the solution.
This is different from most standard addition problems, we have an influx of variables, since we do. We follow the like term rules, which is that we can only add the numbers that have the same variable endings, in this case, only 2x and 9x are like terms, so we add them.
2x + 9x
11x
Therefore :
5xy + 11x + 3
find the sum of series of multiple of 5 from 5 to 100 inclusive
Answer:
let me think
Step-by-step explanation:
PLEASE I NEWD HELP ON THIS
Answer:
5. Inequality form: n ≥ 3
Interval notation: [3, ∞)
6. Inequality form: x < 4
Interval notation: (- ∞, 4)
11. Inequality form: x > 50
Interval notation: (50, ∞)
12. Inequality form: y [tex]\geq[/tex] 8
Interval notation: [8, ∞)
15. Inequality form: z < 8
Interval notation: (- ∞, 8)
16. Inequality form: y [tex]\geq[/tex] 4
Interval notation: [4, ∞)
Step-by-step explanation:
I tried to graph them as best as I could, I hope this helps!
Please help! image is shown below
Answer:
I think 3 maybe since 5 times 3 is 15
Step-by-step explanation:
Answer:
z=10
Step-by-step explanation:
60/40=1.5
15/1.5=10
Simplify 28/184 by reducing to lowest form
A) 1/46
B) 1/7
C) 14/92
D) 7/46
What scale factor was applied to the first rectangle to get the resulting image?
Answer: Another way to look at it is that the rectangle was reduced in a factor of 5 (1/0.2=5)
don't forget to drop a heart hope it helped
Step-by-step explanation:
Answer: 1/0.2=5
Step-by-step explanation:
I hope this helps if you guys need a reach out to me :)
Jacob joined a gym for a year. His total cost for the year was $410, including the monthly
Answer:
What's your question ask the full question
what expressions are equivalent to -2(4-3x)+(5x-2)
Answer:
11x-10
Step-by-step explanation:
1.Rearrange terms
-2(4-3x)+(5x-2)
-2(-3x+4)+(5x-2)
2.Distribute
-2(3x+4)+(5x-2)
6x-8+(5x-2)
3.Eleminate redundant parentheses
6x-8+(5x-2)
6x-8+5x-2
4.subtract the numbers
6x-8+5x-2
6x-10+5x
5.Combine like terms
6x-10+5x
11x-10
•solution
11x-10
tysmmmmmmmmmmmmmmmmmmmmmm
Answer:
The answer is 10
Step-by-step explanation:
To get this you will make the improper fraction into a fraction and then turn that into decimal form
[tex]4 \frac{1}{8} = 4[/tex]
and
[tex]5 \frac{6}{10} = 6[/tex]
That is how you find the estimated answer
Hope this Helped
Find the area of an equilateral triangle (regular 3-gon) with 6-inch sides. Round your answer to the nearest hundredth.
HELP PLEASE !! URGENT !!
The altitude of an airplane is decreasing at a rate of 40 feet per second. What is the change in altitude of the airplane over a period of 20 seconds?
Answer:
Step-by-step explanation:
-40t
-40(20)
-800 ft
Need answers quick pls!!!!!!
Answer:
A. False
B. True
C. False
D. False
E. True
Step-by-step explanation:
A. The diameter would be 6 inches.
B. Circumference = Diameter × 2
C. Area = Pi * Radius^2, NOT Pi^2.
D. Same as C.
E. Area = 3.14 × 1.5 × 1.5 = 7.065
2 multiplied by 4 times
a. 81
b. 8,000
c. 16
20 is the base, 3 is the exponent
a. 81
b. 8,000
c. 16
Answer:
2×2×2×2=16. hope u like it
If 1 large popcorn and 4 large drinks cost $21 how much does 1 large popcorn cost?
Answer:
6-7 dollars maybe?
Step-by-step explanation:
you didn't give a picture so Im just rounding
(sorry if I'm wrong)
10.
Write a rule for the linear function in the graph.
A. y = 4/5x + 2
B. y = -5x - 2
C. y = 5/4x - 2
D. y = -4/5x + 2
Answer:
D. y = -4/5x + 2
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
−
4
5
y-intercept:
(
0
,
2
)
x
y
0
2
5
2
0
Find the area of parallelogram ABCD given m∠A = 30° and the following measures. AD = in.; AB = 8 in. A=
32 in.²
32√3 in.²
16√3 in.²'
Answer: Given that a parallelogram ABCD has sides AB= 6 ft and AX = 3√3
Angle A =30
To find the area of the parallelogram
We have area of parallelogram = base x height
Here base can be taken as side AB = 6 ft
Height = perpendicular distance of AB from vertex X
= AX sin A
= 3√3sin30
=1.5√3
Hence area =6(1.5√3)=9√3ft^2
MARK ME BRAINLIST
HOPE IT IS HELPFUL
Answer:
16√3 in.²'
Step-by-step explanation:
Hope this helps, sorry for answering late.
o MULTIPLE CHOICE QUESTION What should the graph look like for: x <3
if you have a graphing calculator (i use a website called desmos) put in x < 3. i attached a photo of what the graph should look like. the shaded area is where the solutions are. since the shaded area ends with a dotted line, points on that dotted line are not part of the solution.
i hope this helps! sorry i couldn't give a more descriptive explanation... it's pretty much all in the picture lol. have a lovely day! <3
Answer:
getting points since this is an old question tehe
Find (3x+1)(x+4) using the table of products. Write your answer in standard form.
Step-by-step explanation:
just multiply both the values and get the quadratic solution.
The standard form of the (3x+1)(x+4) is 3x^2+13x+4=0.
We have given that,
(3x+1)(x+4) using the table of products.
We have to determine the standard form.
What is the formula of the standard form?
The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).
ax^2+bx+C=0
[tex]=3xx+3x\cdot \:4+1\cdot \:x+1\cdot \:4[/tex]
[tex]=3x^2+13x+4[/tex]
Therefore the standard form is 3x^2+13x+4=0.
To learn more about the standard form visit:
https://brainly.com/question/19169731
#SPJ2
Sally measured the height of a flower growing in her garden. The flower was 3.25 inches tall. Over the next week, the flower grew h inches and measured 4.125 inches tall. How many inches did the flower grow during the week? Round to the nearest hundredth.
Answer: The flower grew 0.88 inches during the week
Step-by-step explanation:
Height of flower in the previous week = 3.25 inches
Height of flower the next week = 4.125inches
height the flower added during the week = 4.125 inches - 3.25inches
=0.875 inches
Rounding to the nearest hundredths becomes 0.88 inches
Please help it’s due in 20 mins would it be A B C or D
Answer:
C ) x < 1
Step-by-step explanation:
The open circle on a number line means: less than or greater than. The arrow is pointing to the left, towards the negatives, so x would be less than 1.
Can someone please tell me what is the solution
Answer:
[tex] \frac{1}{4} \tan {}^{4}(x) + c[/tex]
Anyone able to help?
Your teacher didn't pick the most simple way to do this problem, the steps your teacher gave is confusing. Using the same concept, I am going to do this my way then I will show a different method.
3x^2+24x+9=0
x^2+8x+3=0
x^2+8x+16+3=16
(x+4)^2=13
x+4=±[tex]\sqrt13[/tex]
x=-4±[tex]\sqrt13[/tex]
This is how you are suppose to solve it with completing the square and all the steps, to fill your teacher's blank you will have to go from my answer to how your teacher want you to write it.
*Now I am going to show you a way to solve this with the quadratic formula.
I am going to use the main formula because its more clear although the even formula is easier for this question.
3x^2+24x+9=0
x=(-24±[tex]\sqrt{24^2-4*3*9}[/tex])/2*3
x=(-24±[tex]\sqrt{576-108}[/tex])/6
x=(-24±[tex]\sqrt{468}[/tex])/6
since 468 is a multiple of 36
x=(-24±6[tex]\sqrt{13[/tex])/6
x=-4±[tex]\sqrt{13}[/tex]
This bottom way is really good if you can calculate quickly, with a lot of practice this way is much better for solving quadratic equations that cannot be factored.
What is the formula for the following arithmetic sequence?
-9, -2, 5, 12, ...
an = -9 + 7( n - 1)
an = -9 + (-7)( n - 1)
an = 7 + (-9)( n - 1)
an = 9 + (-7)( n - 1)
Step-by-step explanation:
an = -9 + 7(n-1)
because you start at -9 and go up by increments of 7
If a 24oz bottle of water costs $2.35. What is the cost per ounce? Round to the nearest penny.
Answer:
10¢
Step-by-step explanation:
To find how much an ounce cost, dive 2.35 by 24.
[tex]\frac{2.35}{24} = 0.097\\[/tex]
Multiply by 100, and thus you get 9.79, or, to the nearest penny, 10 cents.
2 x 5 x 10 helppppppp
Answer: 100
Step-by-step explanation:2*5 =10 then 10*10 is 100
Answer:
100
Step-by-step explanation:
so, here is how to work this problem out
2*5 = 10
10*10 = 100
Josie makes invitations for her aunt's paper company. Of all the invitations Josie makes, 15/21 are children's party invitations. Of those invitations, 3/5 have an animal on them. What fraction of the invitations Josie makes are children's party invitations with an animal on them?
Answer:
the fraction of the invitations considered to be an animal on them is [tex]\frac{3}{7}[/tex]
Step-by-step explanation:
The computation of the fraction of the invitations considered to be an animal on them is shown below:
= Children party invitations × animal on them
[tex]= \frac{15}{21} \times \frac{3}{5}\\\\= \frac{3}{7}[/tex]
Hence, the fraction of the invitations considered to be an animal on them is [tex]\frac{3}{7}[/tex]
The figure below is parallelogram. Find the measure of th
variable.
Answer:
D
Step-by-step explanation:
u = 4 since 2u - 1 = 8 - 1 = 7
t = 3 since 5t + 1 = 15 + 1 = 16
and 7t - 5 = 21 - 5 = 16
Hope that helps!
a quadratic polynomial the sum of whose zeros is -3 and product is -10
Answer:
2 and -5 i think
Step-by-step explanation:
I need help on this question