On a certain hot​ summer's day, 336 people used the public swimming pool. The daily prices are $1.50 for children and $2.50for adults. The receipts for admission totaled $613.00 How many children and how many adults swam at the public pool that​ day?

Given:

A polynomial crosses through the x-axis at -2 and touches the x-axis and turns around at 4.​

To find:

The polynomial function in factored form.

Solution:

If the graph of a polynomial intersect the x-axis at [tex]x=a[/tex], then [tex](x-a)[/tex] is a factor of the polynomial.

If the graph of a polynomial touches the x-axis at [tex]x=b[/tex], then [tex](x-b)[/tex] is a factor of the polynomial with multiplicity 2. In other words [tex](x-b)^2[/tex] is the factor of the polynomial.

It is given that the polynomial crosses through the x-axis at -2. So, [tex](x+2)[/tex] is a factor of required polynomial.

It is given that the polynomial touches the x-axis and turns around at 4. So, [tex](x-4)^2[/tex] is a factor of required polynomial.

Now, the required polynomial is:

[tex]P(x)=(x+2)(x-4)^2[/tex]

Therefore, the required polynomial is [tex]P(x)=(x+2)(x-4)^2[/tex].

Answer:

is it 7?

Step-by-step explanation:

Answer:

Actual answer:

4^4 = 16

16 x 3.14 = 50.24

50.24 x 1(height) = 50.24

Rounded to the nearest Tenth:

50.24 rounded = 50.2

Answer:

∠ 1 = 63°

Step-by-step explanation:

∠ 1 and 117° are adjacent angles and sum to 180° , that is

∠ 1 + 117° = 180° ( subtract 117° from both sides )

∠ 1 = 63°

[tex]82x - 33[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]5x + 11(7x - 3) \\ = 5x + 77x - 33 \\ = 82x - 33[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

5 ÷ 5 = 1

125 5 25

Step-by-step explanation:

The number between the two it's the number of people who does both

Answer:

Amount of water in bottle = 3/8 liter

Step-by-step explanation:

Given:

Total capacity of bottle = 3/4 liter

Amount of water in bottle = 1/2 of total capacity

Find:

Amount of water in bottle

Computation:

Amount of water in bottle = [Total capacity of bottle[1/2 of total capacity]

Amount of water in bottle = [3/4][1/2]

Amount of water in bottle = 3/ [(4)(2)]

Amount of water in bottle = 3/8 liter

Answer:

The final balance is $16,406.01.

The total compound interest is $8,406.01

Step-by-step explanation:

take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.

Why not? Well the 6x-3x portion simplifies to 3x. So the x terms are equivalent; however, the 4 and 8 in the first expression combine to 12, which is not equivalent to that 4 in the other expression.

In other words, 6x+4-3x+8 should simplify to 3x+12 and not 3x+4.

Answer:

x=5

Step-by-step explanation:

2x=10

Divide each side by 2

2x/2 = 10/2

x = 5

Answer: you said help so I’m not going to give the actual answer, just how to do it.

Step-by-step explanation:

You have to find the answer first. You work out the top and then you work out the bottom. Then divide the top by the bottom. YIU will get a number woth a power. The power is x that is your answer.

Answer:

Step-by-step explanation:

Answer:2.55 in fraction form is 51/20.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Both angles together will equal as they are opposite of each other

therefore

15x=16x-5

15x+5=16x

5=x

Answer:

x = 5

Step-by-step explanation:

The two angles are congruent because of the Vertical Angles Theorem. Since we now know that they're congruent, we can set up an equation to like this:

15x = 16x - 5

Now that we have an equation, we can solve for x.

First, we subtract 15x from both sides. Now we're left with an equation that should look like this:

0 = x - 5

Now we add 5 to both sides to get our solution. It should look like this.

5 = x

And there's your answer! Hope this helps.

Answer:

5+6f>8f-7

5+7>8f-6f

12>2f

6>f

f<6

Step-by-step explanation:

Answer:

16.9

Step-by-step explanation:

14+10+17+24+12+19+15+27+14+17=169

169/10=16.9

Answer:

[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]

Step-by-step explanation:

Given

See attachment for A and B

Required

Arrange AB in ascending order

We have:

[tex]A = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right][/tex]

and

[tex]B = \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]

So:

[tex]C = A * B[/tex]

[tex]C = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right] * \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}{27}&{115}&{-32}\\{28}&{56}&{-186}\\{6}&{90}&{38}\end{array}\right][/tex]

Where:

[tex]C_{1,1} =1*5 + 7*3 + (-1) * (-1)[/tex]

[tex]C_{1,2} =1*1 + 7*15 + (-1)*(-9)}[/tex]

[tex]C_{1,3} = 1*7 + 7*(-2) + (-1)*25}[/tex]

[tex]C_{2,1} = 5*5 + (-2)*3 + (-9) * (-1)}[/tex]

[tex]C_{2,2} = 5*1 + (-2)*15 + (-9)*(-9)}[/tex]

[tex]C_{2,3} = 5*7 + (-2)*(-2) + (-9)*25}[/tex]

[tex]C_{3,1} =(-3)*5 + 8*3 + 3 * (-1)[/tex]

[tex]C_{3,2} = (-3)*1 + 8*15 + 3*(-9)[/tex]

[tex]C_{3,3} = (-3)*7 + 8*(-2) + 3*25[/tex]

In increasing order, we have:

[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]

Step-by-step explanation:

its "false" they r not same.

stay safe healthy and happy.

Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original

C'D' = 6 and CD = 3 then

scale factor = [tex]\frac{6}{3}[/tex] = 2

Answer:

n=1/2

Step-by-step explanation:

Answer:

Square root of 3 upon 5:

√3÷5

= 0.3464101615137

≈ 0.35 (corrected to 2 decimal places)

Answer:

One

Step-by-step explanation:

Given data

The capacity of Jug= 6L

Needed capacity of Juice= 5L

Hence  one Jug of Juice will be enough because one jug of juice will cover for 6L and 1 L will actually remain

Answer:

it is in the picture above

Step-by-step explanation:

please give branliest if you want

Answer:

18 novels

Step-by-step explanation:

X= number of novels, 12.25 is a fixed fee.

9.50x+12.25=183.25

9.50x=171

x=18 novels

65% off means the sale price would be 35% of the original price ( 100% - 65% = 35%)

To find the sale price multiply the original price by 35%

31 x 0.35 = 10.85

The sale price is $10.85

Answer:

Step-by-step explanation:

Volume is the quantity of three dimensional enclosed by a closed surface , for example , the space that a substance or 3D shape excipients or contains .Volume is often quantified numerically using the SI derived unit , the cubic metre.