Convert y = 5x2 + 20x + 11 to VERTEX form.
Answers
Answer:
y =5(x+2)2−6 is the correct ans
The vertex form of quadratic equation is expressed as:
y = a (x - h) + k
We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.
y - 14 = 5x+ 20x
Then, we factor out in right hand side the coefficient of the x² term.
y- 14 = 5 (x + 4x)
We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.
y - 14 + 20 = 5 (x + 4x +4)
We simplify the right-hand side as:
y =5(x+2)2−6
(hope that helps can i plz have brainlist :D hehe)
Step-by-step explanation:
The vertex form is one of the most commonly used forms for quadratic functions, as it emphasizes the dimensions of the substring graph's vertex.
Vertex form:A vertex form of a solution is a unique way of spelling out such a parabola's equation. Usually, a quadratic equation is expressed as an x² + bx + c, which is a parabola if plotted on a graph.[tex]\to y= 5x^2+20x+11\\\\[/tex]
Solving the equation:
[tex]\to y= 5(x+2)^2-9\\\\\to y= 5 (x^2+2^2+ 2\times 2 x)-9\\\\\to y= 5 (x^2+4+ 4x)-9\\\\\to y= 5x^2+ 20+ 20x-9\\\\\to y= 5x^2+ 20x +11\\\\[/tex]
So, the value is "5(x+2)²-9".
Find out more about the vertex form here:
brainly.com/question/13921516
Related Questions
Read the excerpt from "Bone Detective."
Diane stood in front of a mirror and stuck out her tongue. It looked like a rosy pink welcome mat to her delicate insides. Her usual rubber mold formula was out of the question—too toxic. She wondered, What is safe to swallow, fast and easy to apply, and hardens quickly into a firm mold?
One of her horse-riding pals, a veterinarian named Mary Wright, had the answer: alginate. Mary told Diane that alginate was a pink gummy material used to make molds of teeth. If it was safe for pets, it should be safe for a tiger.
And people, too, Diane thought.
At her lab she mixed the alginate powder with water to form a paste. Standing in front of a mirror, she scooped up a blob and spread it on her tongue. She pressed it down with her fingers to get out any air bubbles. Not bad, she thought. Tastes just like spearmint. She decided to make an extra-thick mold to make it easier to peel off. So, she added another gloopy blog—and another.
With her thickened tongue hanging out, Diane padded around the lab doing odds and ends while the material set. After about 10 minutes, she peeled off the alginate slowly and carefully. It was fragile—bendable and easy to tear—but it made an excellent impression of her tongue.
Which action in the excerpt illustrates that Diane is dedicated to her work?
She makes a mold of her own tongue.
She performs odd jobs around the lab.
She stands in front of the mirror.
She goes horseback riding with a friend.
Answers
Answer:
A. She makes a mold of her own tongue.
Step-by-step explanation:
this question should go in English if i'm not wrong
Answer:
its A i just did the assignment
Step-by-step explanation:
i got it right
Rewrite as equivalent rational expressions with denominator (2u
3)(x + 1)(u - 4):
5
Зи
2u2 - u - 3 2u2_1lu + 12
Answers
The equivalent rational expressions with denominator (2u - 3)(x + 1)(u - 4);
[tex]\frac{5}{(2u - 3)(u + 1)} , \frac{3u}{(2u-3)(u-4)}[/tex]
We want to rewrite the rational expression;
5/(2u² - u - 3), 3u/(2u² - 11u + 12)
Now, the denominator 2u² - u - 3;
From online factorization calculator, the factors of 2u² - u - 3 are;
(2u - 3) and (u + 1)
Similarly, the denominator (2u² - 11u + 12);
From online factorization calculator, the factors of (2u² - 11u + 12) are;
(2u - 3) and (u - 4)
Thus, our expressions are now;
[tex]\frac{5}{(2u - 3)(u + 1)}, \frac{3u}{(2u-3)(u-4)}[/tex]
Read more at;https://brainly.com/question/1048182
HELP ASP Which two students' shapes represent equivalent fractions?
Answers
Answer:
I think its A
Step-by-step explanation:
I just took this test
help me for brainlist
Answers
Answer:
1. g. $0.10 per square inch
2. c. $0.08 per square inch
3. f. $10
4. m. $8
5. h. 79 in²
6. j. 113 in²
Step-by-step explanation:
1. A = πr²
r = diameter ÷ 2 = 10 ÷ 2 = 5
A = π(5)² = 25π in² ≈ 78.53981
$8.00/25π = $0.10 per square inch
2. A = πr²
r = diameter ÷ 2 = 12 ÷ 2 = 6
A = π(6)² = 36π in² ≈ 113.0973355
$10.00/36π = 0.088419 = $0.08 per square inch
3. information/answer was provided
4. information/answer was provided
5. A = πr²
r = diameter ÷ 2 = 10 ÷ 2 = 5
A = π(5)² = 25π in² ≈ 79 in²
6. A = πr²
r = diameter ÷ 2 = 12 ÷ 2 = 6
A = π(6)² = 36π in² ≈ 113 in²
HELPPPP PLEASEE!!!
In 1990, Jamaica's population of 2,466,000 was expected to grow exponentially by 1.1% each year. What is the domain of the exponential function that represents the situation if
1990 represents year 0?
a. y _> 2,466,000
b. all real numbers
c. y_> 0
d. x _>0
Answers
Answer:
answer is b they all add up
Step-by-step explanation:
The domain of the exponential function can take values is option (B) all real numbers is the correct answer.
What is an exponential function?Exponential function involves exponents. An exponential function is an function with exponents where the exponent (or) a part of the exponent is a variable. The population increase or decrease can be modeled as exponential function.
For the given situation,
In 1990, Jamaica's initial population,P₀ = 2,466,000
Rate of population growth,r = 1.1% = 0.011
Let x be the number of years
Then the population growth can be written as
[tex]P(x)=P_{0}(1+r)^{x}[/tex] ------- (1)
Now substitute the above values,
⇒ [tex]P(x)=2466000(1+0.011)^{x}[/tex]
For x=0,
⇒ [tex]P(0)=2466000(1+0.011)^{0}[/tex]
⇒ [tex]P(0)=2466000(1)[/tex]
⇒ [tex]P(0)=2466000[/tex]
If we need to find the population growth in future years, we need to use positive values of x.
If we need to find the population growth in past years, we need to use negative values of x.
If we need to find the intermediate values, then we need to use rational numbers.
Hence we can conclude that the domain of the exponential function can take values is option (B) all real numbers is the correct answer.
Learn more about an exponential function here
https://brainly.com/question/12377120
#SPJ2
Laura has two jobs to help pay for her weekly expenses.
• Laura can work at most 20 hours per week.
She needs to earn at least $120.
• Laura's dog-walking job pays $9.00 per hour.
• Laura washing cars pays $11.00 per hour.
Create the system of inequalities to model Laura's situation where x represents the hours she spends dog-walking
and y represents the hours she spends washing cars.
Answers
Answer:
x*$9.00 + y*$11.00 ≥ $120
x + y ≤ 20 hrs
Step-by-step explanation:
we have the variables:
x = hours she spends dog-walking
y = hours she spends washing cars.
We know that she wins $9.00 per hour of dog-waling, and she wins $11.00 per hour of washing cars, then the total amount of money she wins per hour is:
x*$9.00 + y*$11.00
And she needs to earn at least $120, then we have the inequality:
x*$9.00 + y*$11.00 ≥ $120
And we also know that she can work, at most, 20 hours per week, then:
x + y ≤ 20 hrs
Then the system of inequalities that represents this situation is:
x*$9.00 + y*$11.00 ≥ $120
x + y ≤ 20 hrs
What is the expanded form of this number?
18.029
Answers
Step-by-step explanation:
18.029= (1×10)+(8×1)+(2×1100)+(9×1100)
Simplify: (9x^5)(4x^4)
please show your work so i can see how to do this thank you <3
Answers
9•4= 36
X^5+4= x^9
Your answer is 36x^9
Please help me! I'm confused. Also, do not put any nonsense answers please. Thanks!
Answers
Answer:
use order of operations, PEMDAS.
p(paranthesis), e(exponents), m(multiplication), d(division), s(subtraction).
3 + 3 x (-4) ÷ 2 ÷ (1 - (-5))
so first work with whats in parenthesis
3 + 3 x (-4) ÷ 2 ÷ 6
now, exponents, we dont have any, so move to multiplication.
3 + (-12) ÷ 2 ÷ 6
now, we will do division
3 + (-6) ÷ 6
3 + (-1)
now add
and you get
2
but 2 isn't an option so i must have done something wrong, but I believe your answer should be B. 3
I hope this helps you!
EDIT: IF ANYONE ELSE IS LOOKING AT THIS FOR HELP THE CORRECT ANSWER IS B. 3
Heights of American adult women are normally distributed with mean 63.6 inches and standard deviation 2.5 inches. Find the height of an adult woman that corresponds to the 80th percentile.
Answers
Answer:
65.7
Step-by-step explanation:
Given ;
Mean, m = 63.6
Standard deviation, s = 2.5
80th percentile = 80 / 100 = 0.8
The Zscore corresponding to the 80th percentile ; Z < P = 0.842 (Z probability calculator)
Zscore = (x - m) / s
0.842 = (x - 63.6) / 2.5
0.842 * 2.5 = x - 63.6
2.105 = x - 63.6
x = 63.6 + 2.105
x = 65.705
20 is what percent of 52? Round your answer to the nearest 10th
Answers
Your welcome.......
Find x so that GJ is parallel to FK if GF=12, HG=6, HJ=8, and JK=x-4.
Answers
Answer:
x=20
Step-by-step explanation:
(12+6)/(8+x-4) =6/8
18/(x+4)=6/8
6(x+4) =(18)(8)
(x+4) =(18)(8)/6
x+4 =(3)(8)
x+4=24
x=-4+24
x=20
Harriet has an 8.5-inch-by-11-inch sheet of paper. She brings the short edges together to create a cylinder and adds a top and bottom base Round answers to the nearest tenth of a unit. What is the diameter of harriet's cylinder? What is the total surface area of harriet's cylinder? What is the volume of harriet's cylinder?
Answers
Answer:
dunno
Step-by-step explanation:
dunno
Draw the line y=4 on the grid
Answers
Answer:
you would need a graph to graph the equation
Step-by-step explanation:
Answer:
I think this help you to draw
Vrite down the mathematical name of this 3-D shape.

Answers
Answer:
cube
cuboid
cylindrical
sphere
cone
A mural is painted on the walls of a local business. It measures 7.5 ft long and 3.5 ft wide. The owner would like
to add a border, but it can only be bought in sections that are 1 yd long.
How many sections of border would need to be bought to go all the way around the mural?
Answers
Answer:
24 sections
Step-by-step explanation:
8 + 8 = 16
4+ 4 = 8
16 + 8 = 24
Jessica ran 6 miles in 2 1/2 hours what is her speed in miles per hour?
Answers
Answer:
2.4 miles per hour
Step-by-step explanation:
Select the correct answer.
What is the value of y in the triangle?
y
30°
60°
6
O A.
3
OB. 6
C. 673
D.
33
Answers
This is a special kind of right triangle, called a 30-60-90 triangle.
Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x[tex]\sqrt{3}[/tex]. And across from the 90 degree angle, the side is equal to 2x.
Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.
2x = 6
x = 3
Then, we are looking for the side opposite of the 60 degree angle. So its value is x[tex]\sqrt{3}[/tex].
x = 3
3 * [tex]\sqrt{3}[/tex] = 3 [tex]\sqrt{3}[/tex]
y = 3[tex]\sqrt{3}[/tex] (option D)
Hope this helps!! :)
The value of y for the given triangle will be 3√3, hence option (D) will be correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
Right angle triangles are triangles in which one angle is 90°.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
Given a right-angle triangle
Let the side opposite to 30° is perpendicular and the remaining y will be base.
By trigonometric relation
cosx = base/hypotenuse
cos30° = y/6
y = 6 × cos30° ⇒ y = 6 × √3/2
y = 3√3 hence the value of the hypotenuse or y will be 3√3.
For more about triangles,
https://brainly.com/question/2773823,
#SPJ2
slove -4(x-2)=5(3x-8)
Answers
A data set consists of 6 different whole numbers. The difference between the largest value and the smallest value is 21 and the median is 40. What is the largest possible mean of this data set?
Answers
Answer:
We have a data set with 6 whole numbers:
{A, B. C, D, E, F}
The median, in this case, will be the mean of the two middle numbers, C and D.
Median = (C + D)/2 = 40
We also know that the difference between the largest and the smallest number is 21, where the largest number is F and the smallest number is A, then:
F - A =21.
And the mean will be:
Now we want to take the largest possible numbers such that we end having the largest mean of the whole set, then we can start by taking:
(C + D)/2 = 40
Here we can just take:
C = 39
D = 41
Now our set is:
{A, B, 39, 41, E, F}
Now, A and B should be the largest possible whole numbers (and they must be smaller than 39
The two options are:
B = 38
A = 37
Now our set is:
{37, 38, 39, 41, E, F}
Now, remember that:
F - A = 21
F - 37 = 21
F = 21 + 37 = 58
Then our set will be:
{37, 38, 39, 41, E, 58}
And for E, we should pick the largest number that we could.
In this case, the only restrictions we have for E are that it must be larger than 41, and smaller than 58.
The largest number that meets those conditions is the number 57.
Then our set will be:
{37, 38, 39, 41, 57, 58}
And the mean of this set is:
Mean = (37 + 38 + 39 + 41 + 57 + 58)/6 = 45
can someone check behind me if both of these graphs have a slope of 3?
Answers
Answer:
No. The slope of Line E is 3/2, and the slope of Line D is 6/8.
Step-by-step explanation:
For line E, let's find two points that the lines go through: (0,4) and (30, 24).
m=30-0/24-4
m=30/20
m= 3/2 or 1.5
Line E does not have a slope of 3.
Line D goes through these two points: (8,9) and (16,15).
m=15-9/16-8
m=6/8 or 0.75
Line D doesn't have a slope of 3.
is a rule that assigns each value of the independent valable to
one value of the dependent variable.
Answer here
Answers
Answer:
For different x values ,we get unique y value. So, Yes the Statement is true that , A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
Step-by-step explanation:
Anna is 11 5/6 years old. Morgan is 1 1/3 years older than Anna and Jane is 1 1/4 years older than Morgan. How old is Jane?
Answers
Answer:
18
Step-by-step explanation:
What is the focus of the parabola y = 10x??
Answers
Answer:
The foci of y=10x would be y-x=1 I do exams and quizzes if your interested :)
Complete the table.
Original Price
Percent of Discount 25%
Sale Price $40
Answers
The original price is $53.33, as per linear equation.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."
Given, the percent of discount 25% = 0.25.
Sale price $40.
Let, the original price is x.
Therefore, [x - (x × 0.25)] = 40
⇒ (x - 0.25x) = 40
⇒ 0.75x = 40
⇒ x = (40/0.75)
⇒ x = 53.33
Therefore, the original price is $53.33.
Learn more about a linear equation here: https://brainly.com/question/2984088
#SPJ2
Jackson, Christabelle and Janessa have $438. Jackson has 3 times as much money as Christabelle. Janessa has $263 more than Jackson. How much money does Jackson have?
Answers
Answer: Jackson has $75
Step-by-step explanation:
Step 1
Let the amount of money Christabelle has = x
Let the amount of money Jackson has = 3x
and the amount of money Janessa has= 3x+ 263
Such that the total money they all have which = $438 be expressed as
Christabelle's money +Jackson's money + Janessa's money= $438
x+ 3x+ 3x+ 263 = 438
Step 2 ---Solving
x+ 3x+ 3x+ 263=438
7x= 438-263
7x=175
x =175/7
x=25
Therefore,
Christabelle = $25
Jackson = 3x= 3 x25 = $75
Janessa= 3x+ 263= $75+263=$338
Please help! What are the independent and dependent variables of this problem?
Answers
Answers:
Independent Variable = time = tDependent Variable = height = h(t)======================================================
Explanation:
The horizontal axis always represents the independent variable. Often it is x, but in this case, it's t. The time value does not depend on the height. Time does it's own thing.
The height depends on the time value. The vertical axis, or y axis, is always representing the dependent variable. The notation h(t) helps us see that h must be paired with t, in order to find the value of h so to speak. As the time value changes, so does the height of the ball.
help I will give brainless to whoever answers correctly
Answers
Answer:
The answer to this question is 9cm^2, the second answer
Step-by-step explanation:
To find the area of this parallelogram, you have to first find the area of one of the two triangles shown. The formula to solve a triangle is (base * height)/2, so that would be 4.5cm^2 for each triangle, times two for two triangles would be 9cm^2. If you wanted to do it an easier way, just multiply the length of the bottom of the parallelogram with the height. The measures telling you 3.5 are telling you the length of the diagonal line, so don't pay attention to that.
Angie and Kelly are playing a card game. Angie has 37 points. She has 5 points less than Kelly. How many points does Kelly have?
A) 42
B)45
C)32
Answers
Answer:
42 a
Step-by-step explanation:
brailest plz
what is the original length of a cube if, after a one-inch thick slice is cut from one of the sides the volume that remains is 180 cubic inches
Answers
Answer:
343 - 49 = 294? Yepper. So the answer is 7.
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me