Ok so I'm taking precalculus and my teacher asked this question and I don't understand it at all Describe a situation with an output of area in square feet that can be modeled using the function f(x) = (x)(2x + 5).

Answer:

Adult's ticket is 7, child's ticket is 2

Step-by-step explanation:

Let adult's ticket be "x" and child's ticket be "y"

So, for family 1, the equation would be: 2x+3y=20

And, for family 2, the equation would be: 1x+4y=15

Use the substitution method in the second equation to know what x in terms of y is:

x + 4y = 15 (substact 4y from both sides)

x= 15 - 4y

Plugin y into the first equation:

2(15-4y)+3y=20 (distribute)

30-8y+3y=20 (simplify)

30-5y = 20 (get y by itself)

-5y = -10 (divide by -5)

y = 2

Now that you know the value of y (child's ticket), figure out x by plugging in 2 into any of the equations (I chose the second):

1x+4(2) = 15 (simplify)

x + 8 = 15 (subtract 8)

x = 7

Answer:

price of adult ticket=7 £

price of childrens' ticket =2  £

Step-by-step explanation:

let x be price for adult and y price for  for children

family 1 :  2x+3y=20

family 2:   x+4y=15

solve by eliminating : multiply equation 2 by (2) to eliminate x

2x+3y=20

2x+8y=30  

subtract the two equations:

2x+3y-2x-8y=20-30

-5y=-10

y=-10/-5

y=2( the price for children)

x+4y=15

x+4(2)=15

x=15-8

x=7 ( the price for adults)

check : 2x+3y=20

2(7)+3(2)=14+6=20

Answer:

1. Quadrant 2

2. Quadrant 1

3. Quadrant 2

4. Quadrant 4

5. Quadrant 4

6. Quadrant 2

7. Quadrant 2

8. Quadrant 3

Step-by-step explanation:

For this problem, we just need to follow the pattern of positive and negatives associated with each quadrant.

The first quadrant (+, +)

The second quadrant (-, +)

The third quadrant (-, -)

The fourth quadrant (+, -)

Using these patterns we can state what order pair correlates to which quadrant.

(-2.5, 2.1) --> Q2

(1/2, 3/4) --> Q1

(-10, 13) --> Q2

(2.5, -5.5) --> Q4

(9, -10) --> Q4

(-12, 3.4) --> Q2

(-5/8, 5) --> Q2

(-6.4, -6.3) --> Q3

Cheers.

(60 m ; 120 m)

A = l×w = 7200m²

P = 2w + 2l = 360m

lw = 7200 => l = 7200/w

2(w + l) = 360 => w + l = 180

w + 7200/w = 180

w² + 7200 - 180w = 0

w² - 60w - 120w + 7200 = 0

w(w - 60) - 120(w - 60) = 0

(w - 60)(w - 120) = 0

w₁ = 60m => l₁ = 7200/60 = 120 m

w₂ = 120m => l₂= 60 m

Answer:

Irrational Number

Step-by-step explanation:

The Venn diagram is not attached; However, the question can still be answered

Given

[tex]Number = 4\pi[/tex]

Required

What category of number is the given number

[tex]Number = 4\pi[/tex]

Substitute [tex]\frac{22}{7}[/tex] for [tex]\pi[/tex]

[tex]Number = 4 * \frac{22}{7}[/tex]

[tex]Number = \frac{4 *22}{7}[/tex]

[tex]Number = \frac{88}{7}[/tex]

[tex]Number = 12.5714285714......[/tex]

Notice that there's .... at the end of the number;

This implies that, the decimal number still extends

Numbers like 12.5714285714...... are categorized as irrational numbers because it can't be changed back to a fraction

Answer:

A. irrational number

Step-by-step explanation:

I took the test

Answer:

Step-by-step explanation:

[tex]3+g = \frac{a}{3h} \\\\Cross\:Multiply\\\\3h(3+g) = a\\9h +3gh = a\\\\a = 3gh+9h[/tex]

Answer:

(x-12)/5

Step-by-step explanation:

Answer:

81= 3 times x

its right on khan.

Step-by-step explanation:

Answer:

[tex]=36\sqrt{7}i[/tex]

Step-by-step explanation:

sqrt of 7-11=2i

simplify to [tex]6\cdot \:2\sqrt{9}\sqrt{7}i[/tex]

then sqrt of 9=3

then we simplify again to [tex]=36\sqrt{7}i[/tex]

hope this helps and if you don't mind please consider giving me brainliest

Answer:

infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

Distribute

12x + 1 = 12x + 3 - 2

Combine like terms

12x+1 = 12x +1

Subtract 12x from each side

1 =1

Since this is always true, we have infinite solutions

Answer:

[tex]\Huge \boxed{\mathrm{infinite \ solutions}}[/tex]

Step-by-step explanation:

[tex]\sf 12x + 1 = 3(4x + 1) - 2[/tex]

Using distributive property.

[tex]\sf 12x + 1 = 12x+3 - 2[/tex]

[tex]\sf 12x + 1 = 12x+1[/tex]

Subtracting 1 from both sides.

[tex]\sf 12x=12x[/tex]

Dividing both sides by 12.

[tex]\sf x=x[/tex]

All real numbers are solutions.

There are infinite solutions.

Answer:

x = 5

Step-by-step explanation:

[tex]9x - 3 - 8x = 7 - x\\x - 3 = 7 - x\\[/tex]

Move x's to one side, and numbers to the other.

Make it the opposite sign when you move it over. Since I'm subtracting 3, I'm going to add it to the other side, and add x. And then divide by 2 to solve for x

[tex]x + x = 7 + 3\\\\\frac{2x}{2} = \frac{10}{2}\\\\x = 5\\\[/tex]

Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

Hence, The function that represents the surface area of this box as a

function of its height is S = 32+16H where H is the height of the box

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

S = 138in²

Hence the total surface area of the box is 138in²

Answer:

He has 100 g left.

Step-by-step explanation:

We start with 200 g, then bob eats 100 g, 200-100=100 grams!

Answer

Roughly, it would be 20.5

The exact answer is 21.05

Step-by-step explanation:

To roughly get the estimate you round it to the nearest 1st decimal place in this case. So it'd be 41.0 x 0.5

If we firstly consider only the terms in x.

subtract 2x from both sides of the equation

⇒5+2x

−2x=2x−2x

+6

Observe that the x terms are eliminated and we are left with

5+0=0+6 that is 5=6 which is invalid

There is no solution to this equation.

Answer:

no solution

Step-by-step explanation:

Given

5 + 2x = 2x + 6 ( subtract 5 from both sides )

2x = 2x + 1 ( subtract 2x from both sides )

0 = 1 ← not possible

Thus indicates the equation has no solution

Answer:

1/2

Step-by-step explanation:

Answer:

these are the ten numbers :

0 8 2 6 9 2 0 8 0 0

Answer:

X>3

Step-by-step explanation:

X+9<4X

x-x+9<4x-x

9<3x

3<x

Answer:

n = 2.5

Step-by-step explanation:

We need to isolate n by first moving it to one side.

11n = 13n - 5

11n - 13n = -5

-2n = -5

n = -5/-2

n = 2.5

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Answer:

n = 5/2

Step-by-step explanation:

5 + 11n = 13n

5 = 13n - 11n

5 = 2n

n = 5/2

Check:

5 + 11*5/2 = 13*5/2

10/2 +  55/2 = 65/2

Answer:

22 cookies

Step-by-step explanation:

A dozen items means 12 number of items.

Number of cookies brought by Sherry = No. of containers multiplied by number of cookies in one container

= 2 [tex]\times[/tex] 6 = 12

Number of cookies brought by Sally = A dozen cookies = 12

Number of cookies brought by Sandy = 2

Number of cookies brought by Sherry, Sally and Sandy together = 12 + 12+2 = 26

Total number of cookies to be brought = 4 dozen = 48 cookies

Number of cookies to be brought by Harry = Total number of cookies to be brought - Number of cookies brought by Sherry, Sally and Sandy together

48 - 26 = 22 cookies

Answer:

a. [tex]\frac{5}8[/tex] cups of purple paints required.

b. [tex]\frac{5}8[/tex]

Step-by-step explanation:

Given that

Number of purple paints required with 8 cups of white paint = 5

To find:

a. Number of cups of purple paint needed to be added to 1 cup of white paint ?

b. Constant of proportionality.

Solution:

Answer a. We can use unitary method here to find the number of cups of purple paint that are to be added to 1 cup of white paint.

Let us use the given statement:

8 cups of white paint require = 5 cups of purple paint

Let us divide both sides by 8:

1 cup of white paint require = [tex]\frac{5}8[/tex] cups of purple paint

Answer b.

Constant of proportionality is nothing but the ratio of two numbers which are present in a proportion.

Here, the ratio between number of cups of purple paint and number of cups of white paint is:

5:8 or [tex]\frac{5}8[/tex].

so, the answer is: [tex]\frac{5}8[/tex]

Answer:

[tex]\Large \boxed{\frac{-5}{2}b -15}[/tex]

Step-by-step explanation:

[tex]\displaystyle (-14+\frac{3}{2}b )-(1+\frac{8}{2} b)[/tex]

Distributing the negative sign to the terms in the bracket.

[tex]\displaystyle -14+\frac{3}{2}b -1-\frac{8}{2} b[/tex]

Grouping the like terms in the expression.

[tex]\displaystyle (-\frac{8}{2} b +\frac{3}{2}b) +(-1-14)[/tex]

Combining the like terms in the expression.

[tex]\displaystyle (\frac{-8+3}{2}b) +(-15)[/tex]

[tex]\displaystyle (\frac{-5}{2}b) +(-15)[/tex]

Answer:

B. 9 in

Step-by-step explanation:

The area covered by the fabric ([tex]A[/tex]) is represented by the following formula:

[tex]A = l^{2}[/tex]

Where [tex]l[/tex] is the side length of the canvas, measured in inches, and which is now cleared:

[tex]l = \sqrt{A}[/tex]

If [tex]A = 77.8\,in^{2}[/tex], then:

[tex]l = \sqrt{77.8\,in^{2}}[/tex]

[tex]l \approx 8.82\,in[/tex]

Which corresponds to option B.

Greetings from Brasil...

Let's isolate N. For that we will pass the - 8 to the second member:

n - 8 = - 3

n = - 3 + 8

n = 5

Answer:

Nearest tens:  20

Nearest tenths:  24.8

Nearest whole:  25

Nearest hundredths: 24.77

Answer:

Nearest tens: 20 ⇔ the ones digit is 4, no rounding up

Nearest tenths: 24.8 ⇔ the hundredths is 7, need to round up

Nearest whole: 25 ⇔ the tenths digits is 7, need to round up

Nearest hundredths: 24.77 ⇔ the thousandths digit is 2, no rounding up

Hope this helps!! :)

Please let me know if you have any question

Answer:

1

Step-by-step explanation:

To find the answer of a negative and a positive, you subtract and then keep the symbol of the bigger number.  So in the equation 1-8 you subtract 1 from 8, then keep the symbol of the 8 (which is a negative) since it is the bigger number.  1 minus 8 is 7, and the symbol is negative, so the answer is -7.  This makes K=1.

Answer:

a)5:2

b)14

c)17

Step-by-step explanation:

The ratio for babies to nursery workers is 5:2

To find the answer to b, we find how much you have to multiply 2 by to get 35, which is 7 and multiply that by the number of workers, 2, so you need 14 workers

To find the answer to c multiply 2 bye 3.5 to get 7 and multiply 5 by 3.5 to get 17.5 now rounf down so the answer to c is 17

Answer:

a)5:2 b)14 c)17

Step-by-step explanation:

[tex]10 \times 10 \times 10 \times 10 \times 10 = 2000[/tex]

[tex]6 \times 6 = 36[/tex]

= 2036n

Answer:

: 1: Exact form : v = - 1/27

: 2 : Decimal form : v = -0.037037037037037037037037...

Step-by-step explanation: Multiply the equation to remove your variable (v) from the denominator.

I hope this helps you out.