A number is multiplied by 4. That result is added to 12. The final number is 40.
What is the original number?

Answer:  

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Explanations:

Part (a)

In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)

If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.

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Part (b)

We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.

The given equation is in the form y = ax^2 + bx + c where in this case

The a and b values are plugged into the formula below to get

h = -b/(2a)

h = -16/(2*(-2))

h = -16/(-4)

h = 4

This is the x coordinate the vertex since the vertex is (h,k)

To find k, we plug that value of h into the original function to find its corresponding y value.

y = -2x^2 + 16x - 27

y = -2(4)^2 + 16(4) - 27

y = -2(16) + 16(4) - 27

y = -32 + 64 - 27

y = 5

We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)

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Part (c)

We'll compare the y values of each vertex

The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.

The max value here is y = 5. In other words, it's the maximum output the function can produce.

If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.

Answer:

16 - (4 × 3) + 7

Step-by-step explanation:

Answer:

[tex]\frac{4}{1}[/tex]

Step-by-step explanation:

You can think of the ratio 12 to 3 as another fraction such as [tex]\frac{12}{3}[/tex].

If you want the denominator (bottom number) to be 1, you can divide 12 by 3 which equals 4.

Your new fraction would be [tex]\frac{4}{1}[/tex].

Answer:

b=4√10

Step-by-step explanation:

AB²=AC²+BC²

14²=b²+6²

b²=14²-6²=160

b=√160=4√10

delete my answer

Step-by-step explanation:

Answer:

Cases will increase to 850 in half day

Step-by-step explanation:

Given

The number of reported cases increase from 60 to 75 in seven days (week)

rate of increase of cases = 75-60/7 = 15/7

Now, as per the exponential growth equation

[tex]P = P_0 * e^{r*t}[/tex]

Substituting the given values we get

[tex]850 = 60 * e^{\frac{15}{7} * t}\\e^{\frac{15}{7} * t} = 14.167[/tex]

Taking log on both sides we get

15/7 * t = 1.15

t = 1.15 *7/15

t = 0.537 days = half day

Answer:

Answer is 1 minute

Step-by-step explanation:

The y-axis shows how many blocks and the the x-axis shows the time. So if he traveled 6 blocks, based on the graph, it took him 1 minute

Answer:

Step-by-step explanation:

This is the correct answer

The range is 31

Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

Answer:

Total amount earned = $84

Step-by-step explanation:

The correct expression is

Total amount earned = 80 + 4% of (t - 400)

= 80 + 0.04(t - 400)

where,

t = her sales total in dollars

Total amount of money that she will make for sales of $500

Total amount earned = 80 + 0.04(t - 400)

= 80 + 0.04(500 - 400)

= 80 + 0.04(100)

= 80 + 4

= 84

Total amount earned = $84

Answer:

[tex]A_w=238x-2176[/tex]

Step-by-step explanation:

From the question we are told that:

Length of pool [tex]L=34ft[/tex]

Width of Pool [tex]W=x[/tex].

Brick walkway Width [tex]W_b=4[/tex]

Generally the expression for a Area of pool is mathematically given by

 [tex]A=L*W[/tex]

 [tex]A=34*x[/tex]

 [tex]A=34x[/tex]

Generally the expression for a Area of pool + Walkway is mathematically given by

 [tex]A'=L'*B'[/tex]

where

 [tex]L' =L+2(W_b)[/tex]

 [tex]L' =34+2(4)[/tex]

 [tex]L'=34+8[/tex]

 [tex]L'=272[/tex]

And

 [tex]W'=W+2(W_b)[/tex]

 [tex]W' =x+2(4)[/tex]

 [tex]W' =x+8[/tex]

Therefore

 [tex]A'=L'*B'[/tex]

 [tex]A'=(272)*(x+8)[/tex]

 [tex]A'=272x+2176[/tex]

Generally the expression for a Area of Walkway is mathematically given by

 [tex]A_w=Area\ of\ Pool+Walkway-Area\ of\ Pool[/tex]

 [tex]A_w=A'-A[/tex]

 [tex]A_w=272x+2176-34x[/tex]

 [tex]A_w=238x-2176[/tex]

Answer:

C/4

Step-by-step explanation:

The amount divided by the amount of people will show how much each person owes

Answer:

All polygons have straight lines

Step-by-step explanation:

Answer:

Rs. 67800

Step-by-step explanation:

Price of photograph = 60000 = 100%

Tax = x dollars = 13% of 60000

100% + 13% = 113% = 1.13

Multiply

1.13(60000) = 67800

To check, lets find 13% of 60000 and add to 60000

13% = 0.13

0.13(60000) = 7800

60000 + 7800 = 67800

Units = Rs

Rs. 67800

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

15 cm

Step-by-step explanation:

.....................

Reminder :

( x + a )^2 + ( y + b )^2 = ( R )^2

Center : O = ( - a , - b )

R = radius

_____________________________

( x + 8 )^2 + ( y - 4 )^2 = ( 9 )^2

Center : O = ( - 8 , 4 )

radius = 9

Diameter = 2 × radius = 18

Answer:

150cm^2

Step-by-step explanation:

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Explanation:

Assuming there are 324 seats available for the 324 students, this means that 324*5.60 = 1,814.40 dollars is earned in revenue from ticket sales.

Let x be the cost of equipment, lighting, and costumes combined.

The expression 1814.40 - x represents the profit made. It's the amount of money left after the bills are paid, so to speak. Or you could say profit = revenue - cost.

The committee wants $500 remaining, so they want 1814.40 - x to be equal to 500.

Let's solve for x

1814.40 - x = 500

-x = 500-1814.40

-x = -1314.40

x = 1314.40

So if $1,314.40 is spent on equipment, lighting, and costumes combined, then the committee will have $500 left over. If they spend less on those items, then the profit is more than $500. This means that $1,314.40 is the most they can spend.

Answer:

the option A is a correct ans .

Answer:

94.08m

Step-by-step explanation:

Just multiplly each sides dimensions for all 6 sides.

X=13,1

I hope this helped :)

Answer:

60,000    3,000  900     90     8

Step-by-step explanation:

Answer:

60,000+3,000+900+90+8

Step-by-step explanation:

I used go ogle

Answer:

Step-by-step explanation:

I'm not too sure about this question but I think the whole width part is just bait/irrelevant

Answer:

c

Step-by-step explanation:

Answer:

C

1 or more includes from the 1st quartile to the rest of the graph, so it is 75%

Answer:

From greatest to least, the order is:

[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]

Step-by-step explanation:

Given

[tex]Closest\ Benchmark \to Number[/tex]

[tex]3\frac{6}{25} \to 3[/tex]

[tex]3\frac{4}{9} \to 4[/tex]

Required

Order [tex]3\frac{6}{25}, 3.8, 3\frac{4}{9}[/tex] from greatest to least

From the given parameters, we have:

[tex]3\frac{6}{25} \to 3[/tex]

[tex]3\frac{4}{9} \to 4[/tex]

This implies that:

[tex]3\frac{4}{9}\ >\ 3\frac{6}{25}[/tex] --- we know this from the nearest benchmark

Convert [tex]3\frac{4}{9}[/tex] to decimal

[tex]3\frac{4}{9} = 3.44[/tex]

By comparison;

[tex]3.8 >\ 3\frac{4}{9}[/tex]

Hence, the list is:

[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]

Answer:

50 red apples

Step-by-step explanation:

Ratio: 2:5

Tomatoes: 20

20/2 = 10

5 x 10 = 50

There are 50 apples.

Answer:

D. 2

Step-by-step explanation:

Multiply the exponents to simply equation

5/3 * 1/5 = 5/15 = 1/3

8^1/3 = 2

Cube root of 8 is 2

Answer:

B

Step-by-step explanation:

You can see that the only difference between the three questions is the charge of the electrons. Electrons are negatively charged and so the answer is just B

Answer:

Pretty sure its A so sorry if its wrong

Step-by-step explanation:

Wish you the best of luck and hope this helps!