Which function is graphed below ?

Answer:

40 pup tents

Step-by-step explanation:

Since Ground A has area 300 and maximum capacity is 25 tents, so each tent would take up area of  300/25 = 12 sq yards.

Since Ground B's tents should occupy same area as Ground A's tents (12 sq. yards), the maximum capacity of this tent (480 sq yd) would be:

480/12 = 40 pup tents

This is the maximum capacity.

Final answer:

The expressions 2(x+3) and 2x+4+2x are not equivalent.

Explanation:

To determine if the expressions 2(x+3) and 2x+4+2x are equivalent, we can simplify them and compare the results. Let's simplify each expression when x=1:

2(x+3) = 2(1+3) = 2(4) = 8

2x+4+2x = 2(1)+4+2(1) = 2+4+2 = 8

Both expressions evaluate to 8 when x=1, so they are equivalent. Now, let's evaluate the first expression when x=2:

2(x+3) = 2(2+3) = 2(5) = 10

The first expression evaluates to 10 when x=2, which is different from the value of 8 obtained from the second expression. Therefore, the expressions 2(x+3) and 2x+4+2x are not equivalent.

Answer: Option D

Step-by-step explanation:

Add 4x² to both sides  of the equation:

[tex]16x+8+4x^2=-4x^2+4x^2\\4x^2+16x+8=0[/tex]

The Quadratic formula is:

[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

You can identify that in this case:

[tex]a=4\\b=16\\c=8[/tex]

Substitute into the Quadratic formula:

[tex]x=\frac{-16\±\sqrt{(16)^2-4(4)(8)}}{2(4)}[/tex]

 [tex]x_1=-0.58\\x_2=-3.41[/tex]

Therefore, the graph of the equation above intersect the x-axis in two points.

The answer is:

D. The parabola intercepts the x-axis in two points.

[tex]x_{1}=-0.59\\\\x_{2}=-3.41[/tex]

To find the parabola intercepts, we need to use the quadratic formula. The parabola intercepts with the x-axis, are also called roots or zeroes.

The quadratic formula states that:

[tex]x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]

We are given the parabola:

[tex]16x+8=-4x^{2} \\[/tex]

Which is also equal to:

[tex]4x^{2}+16x+8=0[/tex]

Where,

[tex]a=4\\b=16\\c=8\\[/tex]

Then, substituting into the quadratic formula to find the roots of the parabola, we have:

[tex]x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}\\\\x=\frac{-16+-\sqrt{(16)^{2}-4*4*8 } }{2*4}=\frac{-16+-\sqrt{(256-128) } }{8}\\\\x==\frac{-16+-\sqrt{(256-128) } }{8}=\frac{-16+-\sqrt{(28 } }{8}\\\\x=\frac{-16+-\sqrt{128 } }{8}=\frac{-16+-(11.31) }{8}\\\\\\x_{1}=\frac{-16+(11.31) }{8}=-0.59\\\\x_{1}=\frac{-16-(11.31) }{8}=-3.41[/tex]

Hence,the parabola intercepts the x-axis in two points.

[tex]x_{1}=-0.59\\\\x_{2}=-3.41[/tex]

Have a nice day!

Answer:

D: a single firm supplies all the output.

Step-by-step explanation:

A natural monopoly runs most efficiently when one large firm supplies all of the output.

A natural monopoly occurs when the most efficient number of firms in the industry is one. As the name suggests, monopoly means single. We can also say that it is a market structure characterized by a single seller, selling a unique product in the market.  

A natural monopoly functions by having a single firm supply all output in a specific market, typically due to economies of scale. This usually occurs in markets where having multiple firms would be inefficient and costly, such as utilities. Government usually regulates these to protect consumers.

A natural monopoly functions in a manner where a single firm supplies all the output in a particular market. This is typically because this single firm can produce the total output in the market at a lower cost compared to several firms due to economies of scale. For example, in the utilities industry (like water or electricity), it would be highly inefficient and costly to have multiple firms deliver these services. Therefore, a single firm, or a 'natural monopoly', can provide these services at a lower cost.

The government often regulates natural monopolies to prevent abuse of monopoly power. This is done to ensure fair prices and adequate supply to consumers.

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Answer:

24 presents.

Step-by-step explanation:

First I did 36 multiplied by 6 and got 216. Then i divided 216 by 9 and got 24.

Answer: with 6 yards of ribbons we can wrap 24 presents.

Step-by-step explanation:

For each 9 inches of ribbons, we can wrap one present, then if we have 6 yards we have:

1 yard = 36 inches

then 6 yards is equal to 6*36 inches = 216 inches

now, in how many pieces of 9 inches we can divide the 216 inches?

this is:

N = 216/9 = 24

for each one of those 24 pieces of 9 inches we can wrap a present, this means that with 6 yards of ribbons we can wrap 24 presents.

Answer:

Option B is correct

Step-by-step explanation:

We need to find g(h(f(x))

We first find h(f(x))

f(x) = x-3/x

Putting value of f(x) in place of x in h(x)

h(x) = 2x+1

h(f(x)) = 2(x-3/x) + 1

         = 2(x-3/x) + 1

         = 2x -6 /x +1

         = 2x-6 +x/x

         = 3x-6/x

Now, putting value of h(f(x)) in g(x)

g(x) = x+3

g(h(f(x)))= (3x-6/x) + 3

            = 3x-6/x + 3

            = 3x-6+3x/x

            = 6x-6/x  

So, Option B is correct.

Do 5^2 first

25+ 7*3+4

Multiply 7*3=21

25+21+4

= 46+4

= 50

Answer:50 ( the second choice)

Answer:

Step-by-step explanation:

use BIDMAS to answer

5 squared is 25

7 x 3 = 21

25 + 21 + 4  = 50

your welcome

A. down

The -4 moves the y-intercept down from the origin to -4

Answer: Option A.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

[tex]y=mx+b[/tex]

Where the slope is "m" and the intersection of the line with the y-axis is "b".

Given the function f(x) in the form [tex]f(x)=x[/tex], you can identify that:

[tex]m=1\\b=0[/tex]

This means that the line passes through the origin (0,0)

And from the function g(x) in the form [tex]g(x)=x-4[/tex], , you can identify that:

[tex]m=1\\b=-4[/tex]

This means that the line of the function g(x) and the line of the function f(x) have the same slope, but the line of g(x) passes through the point (0,-4)

Therefore, the graph of f(x) must be shifted 4 units down to produce the graph of g(x)

Answer:   [tex]x=-12.8[/tex]

Step-by-step explanation:

Given the equation [tex]\frac{5x}{8}+10=2[/tex], you need to solve for "x":

Apply the Subtraction property of equality and subtract 10 from both sides of the equation:

 [tex]\frac{5x}{8}+10-10=2-10[/tex]

 [tex]\frac{5x}{8}=-8[/tex]

Apply the Multiplication property of equality and multiply  both sides of the equation by 8:

[tex](\frac{5x}{8})(8)=-8(8)[/tex]

[tex]5x=-64[/tex]

Apply the Division property of equality and divide  both sides of the equation by 5:

[tex]\frac{5x}{5}=\frac{-64}{5}[/tex]

[tex]x=-12.8[/tex]

Answer:

8904

Step-y-step explanation:

Answer:

The population of Linton is 8,904.

Step-by-step explanation:

To start out, they give you a ratio of 12:1, adding all the parts to get a whole would make this ratio 13:1.

Now, since the whole is 13, this means that 13 = 9,646 people.

Next we want to divide 9,646 by 13, this gives us 742.

X = 742

12x = 12 * 742 = 8,904

Answer:

1.

Step-by-step explanation:

1.  There will be 4 rows of 2 because 8 divided by 2 is 4

2.  1 blue, 1 green, 1 blue, 1 green, 1 blue, 1 blue

This problem is not true, because to make it a pattern it would have to be 2 green marbles and 3 blue marbles.

Hope this helps

Please tell me if I got anything wrong.

Answer:

4/105

Step-by-step explanation:

just took the test

A. 6y^2 - 13y + 6

Use the FOIL method of multiplying binomials.

First monomial in each binomial: 2y * 3y = 6y^2

Outside monomials: 2y * -2 = -4y

Inside monomials: -3 * 3y = -9y

Last monomial in each binomial: -3 * -2 = 6

Finally, add everything together. 6y^2 - 4y - 9y + 6

Simplify to 6y^2 - 13y + 6

Answer:

A

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

(2y - 3)(3y - 2)

= 2y(3y - 2) - 3(3y - 2) ← distribute both parenthesis

= 6y² - 4y - 9y + 6 ← collect like terms

= 6y² - 13y + 6 → A

Final answer:

The solution set for the inequality –x ≥ 4 is x ≤ – 4, which includes all numbers less than or equal to – 4. This would be represented on a number line with a solid dot at – 4 and shading to the left.

Explanation:

The question pertains to solving the inequality –x ≥ 4 and representing the solution on a number line. To solve for x, we first multiply both sides by – 1, remembering to reverse the inequality sign since multiplying or dividing by a negative number reverses the inequality:

–x ≥ 4

( – 1)( –x) ≤ ( – 1)(4)

x ≤ – 4

This means that x is less than or equal to – 4. On the number line, the solution set for x includes all numbers to the left of – 4, including – 4 itself. To represent this graphically, one would draw a solid dot at – 4 and shade all the region to the left of – 4, indicating all those numbers are included in the solution set.

Answer:

25.80

Step-by-step explanation:

The tax is equal to the original price times the tax rate

tax = 429.95 * 6%

Change to decimal form

       429.95  *.06

       25.797

Rounding to the nearest cent

25.80

The tax is 25.80

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

Solving the equation

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Answer:

A and C

Step-by-step explanation:

The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.

The solution x = 60 represents the total food bill. I did the test and got 100 percent

Answer:

A. 15

Step-by-step explanation:

To solve this you need to compare the lengths given to you in the question statement.

Because the lines originate from a single point, they're like triangles.  We can easily see a triangle AGF and a triangle ADE, right?

Both triangles are similar triangles, so we can see triangle ADE as a larger version of angle AGF.

They give you the dimension of A F and A E (through A F + F E) to establish a ratio... and they give you A G, asking for A D.

So, A F = 16, A E = 20 (16 + 4), A G = 12.

Since A D is to A G what A E is to A F, we can easily make the following cross-multiplication:

[tex]\frac{A D}{A G} = \frac{A E}{A F}[/tex]

So, A D = (A G * A E)/A F

A D = (12 * 20) / 16 = 15

Answer:

Negative Association

Step-by-step explanation:

Answer:

B) negative association

D) linear association

Step-by-step explanation:

We are given a scatter plot which represents the relationship between the variable A and the variable B.

As you can see the values of the variable A increase, the values of the variable B decrease.

It is clearly shows the negative trend.

Also we can see the points not deviated much, the points looks to form a linear association.

So there must be two statements which associates with this scatter plot.

B) negative association

D) linear association

The answer is D. because when you solve the equation by combining expressions and isolating the variable, both equations have 2 solutions-

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

Step 1: Additive inverse

Step 2: Additive identity

Step 3: Addition property of equality

22 is D

Answer:

21)

22)

~batmans wife dun dun dun....

Answer:

4(5)+5y=20          20+5y=20 then subtract the 20 with other 20= 0

5y/5=0/5                               y=0

Step-by-step explanation:

ANSWER

y=0

EXPLANATION

The given equation is

4x+5y=20

We want to find the y value that solves the equation when x=5.

We substitute x=5 into the given equation and solve for y.

4(5)+5y=20

20+5y=20

5y=20-20

5y=0

y=0

Answer:

[tex]340,000\ people[/tex]

Step-by-step explanation:

step 1

Find the area of the circular region

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=7\ mi[/tex]

assume

[tex]\pi =3.14[/tex]

substitute

[tex]A=(3.14)(7)^{2}[/tex]

[tex]A=153.86\ mi^{2}[/tex]

step 2

Find the number of people who live in the region

Multiply the area by the density

so

[tex]A=153.86*(2,200)=338,492\ people[/tex]

Round to the nearest ten thousand

[tex]338,492=340,000\ people[/tex]

The number of people who live in the region to the nearest ten thousand is 340,000.

Population density is the amount of organisms that live in a square feet of an area.

Population density x area = population

Area = πr²

3.14 x 7² = 153.86 m²

Population = 153.86 x 2200 = 340,000

To learn more about population density, please check:

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Lateral Area: 288 cm

Total Surface Area: 331 cm

Answer:

Step-by-step explanation:

2/4=0.5

BC gradient is 2

AB (3,2)

AC (1,1)

DE gradient is 1/2=0.5

same gradients

parallel line have the same gradients

DE=0.5

BC=0.5

D has coordinate (3,2) and E has coordinate (1,1)

Gradient of DE = (2 - 1)/(3 - 1) = 0.5

Gradient of BC = (-2 - -4)/(3 - 1) = 0.5

BC and DE have the same gradient so they are parallel.  

To prove that DE is parallel to BC, we need to show that their slopes are equal. Let's start with finding the midpoints D and E:

Answer:

-4x + y + 6z

Step-by-step explanation:

2x + 5y - z + (-6x - 4y + 7z) < distribute positive 1 to (-6x - 4y + 7z)

2x + 5y - z - 6x - 4y + 7z < combine like terms to get the answer

2x - 6x = -4x

5y - 4y = y

-z + 7z = 6z

our new expression is:

-4x + y + 6z we cannot simplify this any further, so this is our answer

ANSWER

Frequency=2

Midline =3

Amplitude =5

Period =π

EXPLANATION

We have:

[tex]f(x) = 5 \cos(x) + 3[/tex]

The given function is of the form;

[tex]f(x) = a\cos(bx) + c[/tex]

where

a=|5| =5 is the amplitude

and b=2 is the frequency.

and 2π/b=2π/2=π

The range of the given function is

8≤y≤-2

The midline is

[tex] \frac{8 + - 2}{2} = \frac{6}{2} = 3[/tex]

Answer:

1. y = 3 - b. Midline

2. 2 - a. Frequency

3. 5 - c. Amplitude

4. π - d. Period

Step-by-step explanation:

We know that the standard cosine equation is in the form:

[tex] f(x) = a\cos(bx)+c [/tex]

where [tex] a [/tex] = amplitude,

[tex] b [/tex] = frequency,

[tex] c [/tex] = midline.

Therefore, for the given cosine equation:

Amplitude = 5,

Frequency = 2,

Midline = y = 3

Period = π

Answer:

The answer is 21 square feet of plywood.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

Notice that the ramp is formed by two triangles and three rectangles.

Each triangle has a base of 2 feet and a height of 1.5 feet. So, the area of each triangle is

[tex]A_{triangle}=\frac{bh}{2}=\frac{2(1.5)}{2}=1.5ft^{2}[/tex]

The base of the ramp has dimensions of 3 feet x 2 feet. Its are is

[tex]A_{base}=3(2)=6ft^{2}[/tex]

The back of the ram has an area of

[tex]A_{back}=1.5(3)=4.5 ft^{2}[/tex]

The riding surface is

[tex]A_{riding}=3(2.5)= 7.5ft^{2}[/tex]

So, basically, to know the total surface, we just have to sum the are of both triangles, and the area of all three rectangles, as follows

[tex]S=1.5+1.5+6+4.5+7.5=21ft^{2}[/tex]

This means that Trenton needs 21 square feet of plywood to cover all the surface of the ramp.

Answer:

Less - He wouldn't be able to score as many points.

Hope this helps you out!

Answer:

2a. If chagalti is being served, then you will have to use a tsibue.

2b. If you are using a tsibue, then chagalti is being served.

2c. If chagalti is not being served, then you dont have to use a tsibue.

2d. If you dont have to use a tsibue, then chagalti isnt being served.

2e. The converse must also be true because if you have to use a tsibue while eating chagalti, then when you arent eating chagalti, you dont need to use a tsibue.

Hope this helps!

Please use for reference. Merci.

To find rate of change simply divide y/x.

hour 2: 56/2=28

hour 4: 125/4~about 31.3 or 31

hour 5: 164/5=32.8 or ~ 33

hour 8: 271/8 ~ about 34 or 33.875

hour 13: 404/13 ~ about 31 or 31.0769231

What numbers are the largest?

hours 5 and 8

Thus, the correct answer was option C.

Through my understanding of the question I think the correct answers would be A and D.

hope this helps