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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.

Answer:

to find the mean you add up all the values to get the sum, count the number of values you have in your data set, then divide the sum by the count

Step-by-step explanation:

Answer:

60.5

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation: 2/3 is just 0.66666 repeating which is greater than 0.6

Answer:

2/3

Step-by-step explanation:

2/3 and 3/5

10/15 and 9/15

Hence, 2/3 is greater

Feel free to mark this as brainliest :D

Answer:

the unit of measure of the conversion factor should be the unit of measure__

A numerator from __ which you want to convert

Answer:

the whole gallon

1/3 + 2/3 = 3/3

Answer:

15 inches tall

Step-by-step explanation:

every 3 inches increased, the width increases by 5.

Answer:

0.375

Step-by-step explanation:

1*3/4*1/2=0.375

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 :)

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:

Answer:

2

35

6

Step-by-step explanation:

14/7=2

5*7=35

42/7=6

Answer:

92 dB

Step-by-step explanation:

Fsf

Answer:

[tex]volume = base \: area \times height \\ = 36 \times 8 \\ = 288 \: cubic \: inches[/tex]

Answer:

si se tirs undado you need to

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

Answer:

80/39

Step-by-step explanation:

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]

Given:

The radius of smaller cylinder is 2 m.

The radius of larger cylinder is 8 m.

The height of smaller cylinder is 14 m.

Both cylinders are similar.

To find:

The height of larger cylinder.

Solution:

It is given that the both cylinders are similar to each other.

We know that the corresponding sides of similar figure are proportional.

Let height of the larger cylinder is [tex]h_2[/tex].

[tex]\dfrac{r_1}{r_2}=\dfrac{h_1}{h_2}[/tex]

[tex]\dfrac{2}{8}=\dfrac{14}{h_2}[/tex]

[tex]\dfrac{1}{4}=\dfrac{14}{h_2}[/tex]

On cross multiplication, we get

[tex]1\times h_2=14\times 4[/tex]

[tex]h_2=56[/tex]

Therefore, the height of the larger cylinder is 56 m.

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

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.

Answer:

Exactly 16

Step-by-step explanation:

3/4 is .75

12/.75 would be 16

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

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

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.

Answer:

(2,-1) _______________

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.

1/4 = 0.25 is the largest value..

It is right answer....

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

Answer:

555

Step-by-step explanation:

Answer:

4 + x = 12

x = 8

Step-by-step explanation:

4 more than a number is 12

4 + x = 12

x = 8