hii........
nothing just studying
What is the vertex of the given quadratic function?
g(x)=3(x – 4)² + 7
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Explanation:
Compare the given equation to the vertex form y = a(x-h)^2 + k
You'll see that a = 3, h = 4 and k = 7
The vertex is (h,k) = (4,7)
The value of 'a' determines if the parabola opens upward or downward. Since a > 0, it opens upward. This furthermore leads to the vertex being the lowest point on the parabola.
The value of 'a' also determines how vertically stretched or compressed the parabola is.
Answer:
1. The vertex of the graph of the function is (-4, 7)
2. The vertex represents a minimum value
3. The equation represented by the new graph is g(x) = (x + 4)² + 1
Step-by-step explanation:
The given quadratic function is given in vertex form, y = a·(x - h)² + k, as follows;
g(x) = (x + 4)² + 7
1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;
a = 1, h = -4, and k = 7
The vertex of the graph of the function, (h, k) = (-4, 7)
2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value
3. Shifting the graph 6 units down from where it is now will give;
The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)
h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c
c = k + a·h²
Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23
After the shifting the graph 6 units down, c = 23 - 6 = 17
∴ k = 1 = -a·(-4)² + 17
∴ -16/16 = -1 = -a
a = 1
Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.
You start at (2, -1). You move down 3 units and left 3 units. Where do you end? graph
Answer:
Hi there, mizuki here to answer
The correct answer should be:(-1, -4)
I also put a image of the graph, anyways hope this helped(red dot is the final area, blue dot is the starting point[2,-1])
Step-by-step explanation:
1) Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server positions, the owner would like to include information on the amount of tip a server can expect to earn per check (or bill). A study of 500 recent checks indicated the server earned the following amounts in tips per 8-hour shift. Amount of Tip ($) Number 0 up to 20 200 20 up to 50 100 50 up to 100 75 100 up to 200 75 200 or more 50 a) What is the probability of a tip of $200 or more? b) What is the probability of a tip of up to $50?
Answer:
a) 0.1 = 10% probability of a tip of $200 or more.
b) 0.4 = 40% probability of a tip of up to $50.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Distribution:
Total of 500 checks.
200 with tips in the interval of 0-20.
100 with tips in the interval of 20-50.
75 with tips in the interval of 50-100.
75 with tips in the interval of 100-200.
50 with tips of 200 or more.
a) What is the probability of a tip of $200 or more?
50 out of 500. So
[tex]p = \frac{50}{500} = 0.1[/tex]
0.1 = 10% probability of a tip of $200 or more.
b) What is the probability of a tip of up to $50?
200 out of 500. So
[tex]p = \frac{200}{500} = 0.4[/tex]
0.4 = 40% probability of a tip of up to $50.
Hi! Kan someone fill in the blanks with either addition, subtraction, multiplication, or division?
I had some trouble finding the answer :/
Helppp find the value of y lamooooo
Answer:
4x-13 = 2x+9 ( i think it was exterior angle property i dont remember but its true)
so, solving that eq,
4x-2x = 9+13 (grouping variables and constants)
2x=22
x=11
also, 2x+9 and 3y+2 are on a transversal, and are supplementary angles (add up to 180°)
so, solving for x in 2x+9,
2(11)+9 = 22+9 = 31°
now, 31 + 3y+2 = 180
3y = 180 - 33
y = 147/3 = 49
(hoping you understood the calculations :)
In ΔGHI, the measure of ∠I=90°, GI = 5, IH = 12, and HG = 13. What ratio represents the tangent of ∠G?
Answer:
80/39
Step-by-step explanation:
Mary is planning to survey a sample of women to find out how much money the average woman spent on lipstick last year. What sample size will she need, if she wants to be 95% confident that her sample mean is no more than $4 away from the population mean, and assuming a standard deviation of $20? A. 100
Answer: The required sample size = 97
Step-by-step explanation:
If prior population standard deviation is known, then the minimum sample size can be computed as:
[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex]
,where z* = critical z-value
[tex]\sigma[/tex] = population standard deviation
E = Margin of error
As per given,
[tex]\sigma=20,\ E= 4[/tex]
Critical value for 95% confidence = 1.96
[tex]n=(\frac{1.96\times20}{4})^2\\= (1.96\times 5)^2\\= (9.8)^2\\=96.04\approx97[/tex]
Hence, the required sample size = 97
Quintin read a report claiming that 4% of police officers in the US have had a formal complaint filed
against them. Quintin suspects that this figure is higher in his state. He obtains a random sample of records
for 500 officers from the approximately 20,000 officers in his state. He wants to use these data to test
H : p=0.04 versus H:p > 0.04, where p is the proportion of officers in Quintin's state who have
had a formal complaint filed against them.
Which conditions for performing this type of significance test have been met?
Answer:
A, B, C
Step-by-step explanation:
Got it right on khan academy
The area of the base of a portable speaker, shaped like a hexagonal prism, is 36 square inches. The height of the speaker is 8 inches. (The long side which it sits on in the image below is the height.) Find the volume of the speaker.
Answer:
92 dB
Step-by-step explanation:
Fsf
Answer:
[tex]volume = base \: area \times height \\ = 36 \times 8 \\ = 288 \: cubic \: inches[/tex]
I need the answer HELP HELP HELP HELP
Answer:
A; TDC Inc., has 40 salespeople
B; Exactly half of the salespeople took fewer than 6 flights last year
F; Exactly half of the salespeople took at least 7 flights last year
9:25 p.m. in 24 hour time is written a
Answer:
21:25
Step-by-step explanation:
9:25 p.m. would be written as 21:25 in 24 hour time, since you simply add 12 to the hours.
What is greater 4.58 or 4.563
Answer:
4.58 is greater then 4.563
Answer:
4.58
Step-by-step explanation:
think of it like this: 58 hundredths is larger than 56 hundredths
i need help please and thank you
Answer:
82.5inches.
Step-by-step explanation:
A=1/2bh
=1/2×15×11
=82.5
Answer:
82.5 in.²
Step-by-step explanation:
[tex]A=\frac{1}{2} bh[/tex]
[tex]A=\frac{1}{2}(15)(11)[/tex]
[tex]A=\frac{1}{2}(165)[/tex]
[tex]A=82.5 in.^{2}[/tex]
Find the area of the shaded region.
Answer:
60.5
Step-by-step explanation:
Please help me. Max and bella are two thirsty dogs after playing fetch they drank water . Rebbi drank 1/3 of a gallon of water babe drank 2/3 of the same gallon of water. How much of the gallon did the dogs drink?
Answer:
the whole gallon
1/3 + 2/3 = 3/3
I need to know the answer for this so please help
Answer:
(2,-1) _______________
Rewrite the expression in the form
what is the measure of
Answer:
88 degrees
Step-by-step explanation:
Since x and z have the same angel their degrees is the same
Write the log equation as an exponential equation. You do not need to solve for x.
log, (2) = 2x - 1
Answer:
2 = 10^(2x-1)
Step-by-step explanation:
Imma assume the "," is 10,
So basically, it's just 2 = 10^(2x-1) I think, sorry if I'm wrong tho
A photograph measures 3 inches tall and 5 inches wide. Becky wants a larger print of the photograph that is 25 inches wide. How many inches tall should the larger print be if it is to be in proportion to the smaller photograph?
Answer:
15 inches tall
Step-by-step explanation:
every 3 inches increased, the width increases by 5.
Parvati bought 8 gallons of paint tol a project. The KIMU UI panlil bie WuUym 13 pccu wym
Which person bought the same kind of paint as Parvati?
O A
Brandon bought 5 gallons of paint for $90.
B
Trevor bought 6 gallons of paint for $114.
с
Natasha bought 7 gallons of paint for $143.
D
Danaia bought 9 gallons of paint for $152.
Answer:
(a) Brandon bought 5 gallons of paint for $90.
Step-by-step explanation:
Given
Parvati:
[tex]8\ gallon \to \$144[/tex]
Required
Person with the same paint
First, calculate the unit cost of Parvati's paint
[tex]Unit = \frac{\$144}{8\ gallon}[/tex]
[tex]Unit = \$18/gallon[/tex]
To get the person with the same kind of paint, we simply calculate the unit price.
Whoever has the same unit price as [tex]Unit = \$18/gallon[/tex] have the same kind of paint
Brandon
[tex]Amount = \$90[/tex]
[tex]Size= 5\ gallons[/tex]
So:
[tex]Unit = \frac{Amount}{Size}[/tex]
[tex]Unit = \frac{\$90}{5\ gallons}[/tex]
[tex]Unit = \$18/gallons[/tex]
Brandon has the same paint as Parvati because the unit prices are the same.
How many 3/4 cup servings are in 12 cups of cherries?
Answer:
Exactly 16
Step-by-step explanation:
3/4 is .75
12/.75 would be 16
I need some help on this please Simplify 2c-5c+c
Hello can someone answer this question please
1/4 = 0.25 is the largest value..
It is right answer....
HELP!!!
What is the Area!
Answer:
0.375
Step-by-step explanation:
1*3/4*1/2=0.375
Si se tira un dado, ¿cuál es la probabilidad de que se obtenga un divisor de 6?
Answer:
si se tirs undado you need to
lots of points for a easy question the unit of measure of the____ of the conversion factor should be the unit of measure____ which you want to convert
A numerator from
b denominator from
c denominator to
d none of the above
Answer:
the unit of measure of the conversion factor should be the unit of measure__
A numerator from __ which you want to convert
HELPPPPPPPPPPPPPPPPPPPPP
Answer:
2
35
6
Step-by-step explanation:
14/7=2
5*7=35
42/7=6
The living room in a new house has the dimensions shown. What is the volume of the room?
Answer:
v = 220 yd²
Step-by-step explanation:
Small portion
v = 5 * 4 * 3
v = 60 yd²
Large portion
v = 9 * 6 * 3
v = 162 yd²
Total
v = 60 + 162
v = 220 yd²
4 more than a number is 12
Answer:
555
Step-by-step explanation:
Answer:
4 + x = 12
x = 8
Step-by-step explanation:
4 more than a number is 12
I will represent the mystery number as "x"4 + x = 12
x = 8