Carmen spend 42 for 6 hats how much did each hat cost

Answer:

Vertex form: y = 3(x + 2)² + 2

Step-by-step explanation:

Given the graph of an upward-facing parabola, whose vertex occurs at point (-2, 2):

The vertex form of a quadratic equation is given by:  y = a(x - h)² + k

where:

(h, k) ⇒ vertex

h =  indicates a horizontal translation of the graph.

k =  indicates a vertical translation of the parabola.

x = h ⇒ axis of symmetry: the imaginary vertical line that divides the graph into two symmetrical parts.

a = direction of the parabola's opening; determines the wideness of the graph.

Now that we have established the necessary terms related to understanding the concept of quadratic equations, we can proceed with determining the equation of the graph.

Besides the vertex, (-2, 2), we must choose another point on the graph to solve for the value of a.  Using the point from the graph, (-1, 5), along with the vertex, substitute these values into the vertex form to solve for a:

y = a(x - h)² + k

5 = a[-1 - (-2)]² + 2

5 = a(-1 + 2)² + 2

5 = a(1)² + 2

5 = a + 2

Subtract 2 from both sides:

5 - 2 = a + 2 - 2

3 = a

Therefore, the vertex form of the given graph of a parabola is:

y = 3(x + 2)² + 2

Answer:

1. 48x-18

2. 21y

Step-by-step explanation:

Answer:

for a, select 2 and 4; for b, select 1 and 3

Step-by-step explanation:

hope this helps! :D

Answer:

10 inches

Step-by-step explanation:

we know that 2 inches is equal to 50 miles, so:

2x = 50

x= 25, which means that 1 inch is 25 miles.

250/25 = 10, which means that it would take 10 inches to be equal to 250 miles.

Answer: 0.54

Step-by-step explanation:

0.03 times 3 times 6 =0.54

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Explanation:

It helps to make a table of all possible outcomes. Refer to the diagram below. Along the top we have the outcomes 1,2,3,4. Along the left side we have 2,3,4,5. Each row & column header is then added to form the corresponding inner cell. For example, in the top left corner we have 1+2 = 3.

There are 4 outcomes of spinner A and 4 outcomes of spinner B. This means we have 4*4 = 16 outcomes overall. Out of those 16 sums, we have the odd results {3,5,7,9} show up 1+3+3+1 = 8 times.

The probability we want is therefore 8/16 = 1/2. This is expected since half of the values of {1,2,3,4} are odd, and the same applies to {2,3,4,5}. So we should expect half of the sums to be odd as well.

Put another way: for any row or column, you'll find that the pattern is odd/even/odd/even or even/odd/even/odd. This shows that 50% of any row or column represents an odd number. This idea extends out to the entire table overall.

Answer:

1/2.

Step-by-step explanation:

There are 2 odd and 2 even numbers on each spinner.

Odd totals will come from an odd number from the first spinner and an even number from the second spinner, or vice versa.

So the number of possibilities  of an odd total = 2 * (2 * 2) = 8.

The total number of all possible outcomes = 4*4 = 16.

So the required probability is 8/16 = 1/2.

Answer:

0.66 , 2.061 , 2.612 , 2.62 , 6.21

Step-by-step explanation:

Answer:

y=45

Step-by-step explanation:

Answer:

1/45=y

Step-by-step explanation:

-2/3y = -30

* 3y   * 3y

-2 = -90y

*-1    *-1

2=90y

/90 /90

2/90 = y

1/45= y

Answer:As most maths problems, you don’t have to convert it immediately in numbers to solve it.

It’s obvious that John works twice as fast as Tom to paint the same surface. It means that if they work simultaneously, at any time John will always have painted twice as much surface as Tom. So if they plan it properly and they end the painting of the room at the same time, John will have painted twice as much surface as Tom.

There is only one possibility : if Tom painted 1/3 of the room and John painted 2/3.

Now, if Tom painted 1/3 of the room it probably took him 1/3 of the time needed to paint the entire room, or 12/3=4 hours. It also works for John : 6*2/3=4 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

Your choice is correct.

The sequence is:

The difference is not common:

Correct choice is A

Count the squares

Lets find common difference

[tex]\\ \sf\longmapsto d=t_2-t_1[/tex]

[tex]\\ \sf\longmapsto 9-4=25-9[/tex]

[tex]\\ \sf\longmapsto 5\neq 16[/tex]

Hence it's not an arithmetic sequence

Note:-

The common formula of given sequence is

[tex]\\ \sf\longmapsto f(n)=n^2,n=\{2,3,5\}[/tex]

Provided That :-

[tex]\qquad[/tex] According to the question :-

[tex]\qquad \pmb{\sf\longrightarrow X+5 = 3(x-9)}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow X+5= 3x- 27}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow X-3x = -27-5}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow -2x= -32}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 2x= 32}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow X= \cancel{\dfrac{32}{2}}= 16}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ X = 16 }}}}}}[/tex]

Therefore–

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Answer:

I want to say that there's 1 left, but this is probably a trick question, so. . .

Answer:

the missing area is 10

Step-by-step explanation:

you can solve this by using pythagorean therom

Answer:

I got it!

Step-by-step explanation:

-20 Hours, -39 Minutes, -45 Seconds

or: -0.12 total weeks

or: -0.86 total days

or: -20.66 total hours

or: -1,239.75 total minutes

or: -74,385.00 total seconds

Answer:

so the plants will grow more

Answer:

Multiply the different species in large number. Protect the plant species which are endangered. Improve the characteristics and quality of the plants. Produce quality and healthy plants on commercial base.

hope helpful <3

Answer:

i believe it's B

Step-by-step explanation:

a and b are stated as "two different numbers" and x is an unknown variable. a=a is the only one with two variables that definitively equal each other

Answer:1/3

Step-by-step explanation: since of means multiplication  . 5/9 *3/5=1/3

Answer:

depends on what n is. but -2/3 - 4/9 = -10/9 aka -1  1/9

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

25 times 4 is 100 10 times 10 is 100

Answer:

the answer should be 13/20

Step-by-step explanation:

hope this helps

Answer:

no

Step-by-step explanation:

becdxhjkc

Answer:

89/56 (first option)

Step-by-step explanation:

The LCD (or Least Common Denominator) of all the fractions is 840.

5/7 (the smallest number) is equivalent to 600/840, while 7/8 (the largest number) is equivalent to 735/840.

600/840 + 735/840 = 1335/840, which reduces to 89/56.

Hope this helps!

Using an exponential function, it is found that the projected growth rate is of 4.5%.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + k)^t[/tex]

In which:

In this problem:

We use the information given to solve for k.

[tex]A(t) = A(0)(1 + k)^t[/tex]

[tex]37.1 = 23.9(1 + k)^{10}[/tex]

[tex](1 + k)^{10} = \frac{37.1}{23.9}[/tex]

[tex]\sqrt[10]{(1 + k)^{10}} = \sqrt[10]{\frac{37.1}{23.9}}[/tex]

[tex]1 + k = \left(\frac{37.1}{23.9}\right)^{\frac{1}{10}}[/tex]

[tex]1 + k = 1.045[/tex]

[tex]k = 0.045[/tex]

The growth rate was of 4.5%.

A similar problem is given at https://brainly.com/question/25697660

Answer:

Hey there! I would love to answer your question but it seems incomplete. Please revise your inquiry.

Step-by-step explanation:

Answer:

Sixty sixty Sixty sixty sixty

Answer:

Step-by-step explanation:

Start with 5 bananas = 1.6 pounds.

1.6/5=0.32

3 bananas = 3 × 0.32 = 0.96

12 bananas = 0.96 × 4 = 3.84 since 3 × 4 = 12

4. B because the higher slope indicates a higher rate, so car B went faster.

5.

3 0.5. 0.5÷3=0.16

5 1.6 1.6÷5=0.32

Question

describe the set member of 1,8,27,64​

All these numbers are the cube of consecutive numbers ,the cube of 1 is 1, the cube of 2 is 8 ,3 is 27 ,4 is 64 and so the next number which is 5 , it's cube will be 125 and so the series will be 1, 8, 27, 64, 125 ,216 and so on