What is the graph of the given function?
f(x) = -2(x – 3)2 + 4
Graph

Answer: (i) Maximum possible number of bouquets he can make = 15

(ii) There are 10 roses, 8 lilies and 3 hydrangeas in each bouquet.

Step-by-step explanation:

Given: Roberto uses 150 roses, 120 lilies, and 45 hydrangeas to make bouquets.

(i) Maximum possible number of bouquets he can make = HCF(150, 120 , 45)

Since , 150 = 2 x 3 x 5 x 5  , 120= 2 x 2 x 2 x 3 x 5 ,  45 = 3 x 3 x 5

HCF(150, 120 , 45) = 3 x 5 = 15

Now, Maximum possible number of bouquets he can make = 15

(ii)  Number of roses in each bouquet = [tex]\dfrac{150}{15}=10[/tex]

Number of lilies in each bouquet = [tex]\dfrac{120}{15}=8[/tex]

Number of hydrangeas in each bouquet =[tex]\dfrac{45}{15}=3[/tex]

Hence, there are 10 roses, 8 lilies and 3 hydrangeas in each bouquet.

Answer:

A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

Answer:

regular 4 is correct

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

The number of people that travel commercially each year is  7.8 x 10^8.

The number of people that travel commercially each year is represented in scientific notation. Scientific notation is used to compress larger numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

In order to determine the number of people who flew commercially each year, multiply the number of people who flew each month by 12.

Number of people who fly commercially each year = 6.5x10^7 x 12

= 78 x 10^7

= 7.8 x 10^8

To learn more about scientific notation, please check: https://brainly.com/question/5756316

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Answer:

The statement at the top says that the triangles are 'similar'. That means that the corresponding angles are equal, and each pair of corresponding sides have the same ratio. From the 4 and the 8, you can see that each side in the small one is 1/2 the length of the corresponding side in the big one. So the missing sides are 1/2 the length of the 7 and the 12.

Answer:

24 pies

Step-by-step explanation:

Let x represent the number of pies and set up an equation:

6x = 3.75x + 54

Solve for x:

6x = 3.75x + 54

2.25x = 54

x = 24

So, Carrie and Joel have to sell 24 pies to break even

Answer:

1+1=2 and 1x1= 1

Step-by-step explanation:

If you add something you take the first number and add it to the second one. If it is multiplication, you take the first number, and multiply by itself, so it would be 1 times itself (1) and it is kind of like 1+0 which equals 1. It doesn't sound like a lot, but when you get into Algebra and Pre-Algebra, etc. it does come along easier.

Answer:

1+1=2 and 1x1= 1

Step-by-step explanation:

Answer:

I believe Laila saved $9.

Step-by-step explanation:

63/7=9

Divide

63/7 = 9

She saved $9

Answer:

litros. TODO Cm. Calcula el volumen de cada figura compuesta. Redondea al ... Encuentra la altura h del recipiente a la décima más cercana. ... cubierto, haciendo que el nivel del agua suba 2 pulg.

Answer:

9x+20>=28

Step-by-step explanation:

x is the number

Answer:

8 times x

Step-by-step explanation:

x being the number of hours

Answer:

The answer is 6/5

Step-by-step explanation:

( 3 /5 )( 2 /1 )

(3)(2) /(5)(1)

6 /5

Hope this helps!

Answer:

120 mins

Step-by-step explanation:

number of minutes in an hour = 60

number of hours = 2

total number of minutes = 60 x 2 = 120

Answer:

120 minutes

Step-by-step explanation:

an hour is 60 minutes and if you put them in for 2 hours you multiply 2×60 and your answer is 120

Answer:

no

Step-by-step explanation:

Answer:

[tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = [tex] m = \frac{rise}{run} = \frac{2}{1} = 2 [/tex]

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = [tex] m = \frac{rise}{run} = -\frac{3}{1} = -3 [/tex]

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

[tex] x = \frac{6}{-5} = -1\frac{1}{5} [/tex]

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

[tex] y = -3\frac{-6}{5} + 1 [/tex]

[tex] y = \frac{18}{5} + 1 [/tex]

[tex] y = \frac{18 + 5}{5} [/tex]

[tex] y = \frac{23}{5} [/tex]

[tex] y = 4\frac{3}{5} [/tex]

✅The exact solution would be: [tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]

Answer:

x > 32/5

Step-by-step explanation:

===========================================================

Explanation:

The sequence is not arithmetic because the distance between adjacent terms keeps increasing. For instance, the gap from 0.4 to 1.6 is 1.6-0.4 = 1.2, while the gap from 1.6 to 6.4 is 6.4-1.6 = 4.8. There is no common difference, so we can rule out choices A and B.

To check if we have a geometric sequence, divide each term by its previous term

(term2)/(term1) = (1.6)/(0.4) = 4

(term3)/(term2) = (6.4)/(1.6) = 4

(term4)/(term3) = (25.6)/(6.4) = 4

Each time we get 4 as a result, so this sequence is geometric and the common ratio is r = 4.

Put another way: each new term is found by multiplying the previous term by 4.

0.4*4 = 1.6

1.6*4 = 6.4

6.4*4 = 25.6

This all leads to D being the answer.

Side note: the nth term of this geometric sequence is [tex]a_n = 0.4*(4)^{n-1}[/tex] where n is a positive integer and starts at n = 1.

Answer:

0.03

Step-by-step explanation:

8x=0.24

x=0.03

Answer:

Step-by-step explanation:

adjacent angles share a ray

they also have a common vertex

Answer:

No relationship

Step-by-step explanation:

Answer:

B. The number of vertices equal the number of isosceles triangles.

Step-by-step explanation:

1st figure:

No. of vertices: 4

No. of isosceles triangles: 4

2nd figure:

No. of vertices: 5

No. of isosceles triangles: 5

3rd figure:

No. of vertices: 6

No. of isosceles triangles: 6

Thus, the number of vertices equal to the number of isosceles triangles.

Answer:

220 - a = m

Step-by-step explanation:

a is her age

Answer:

The length is 120 yards

Step-by-step explanation:

Here, we want to find the length of the longest side

The longest side ratio is 15

Add up all the ratio,

We have 1 + 15 + 3 = 19

So the length will be;

15/19 * 152

= 120 yards

Answer:

x + 3y =21 equation 1

let the equation perpendicular to X + 3y = 21 be

3x - y + k = 0 equation 2

since the point ( 1 , -3 ) passes through equation 3x - y +k =0

3× 1 - (-3) + k = 0

or, 3 + 3 + k = 0

or, 6 + k =0

or, k = -6

now,

putting the value of k in equation 2

3x - y + k = 0

or, 3x -y -6=0

Answer:

4pi

Step-by-step explanation:

Area of a circle is pi (r^2)

Radius is 2, 2 squared is 4, 4 times pi is 4pi.

Answer:

b

Step-by-step explanation:

Use PEMDAS in order to solve