Order the function from the least steep slope to the steepest slope.
y=2x-3
y = 4x+0.5
y=-2x+3
y=x+42
y=-0.5x+7

Answer:

B

The correct answer is B. x= 4/3

Let's say x is the number of ounces. Since the cost for each ounce is $0.85 then we can find the cost for the total amount of ounces by multiplying it by the cost of each one:

$0.85 · x

This is not the total cost, since the total cost has an additional of $5.50. Then the total cost is given by

c = $5.50 + $0.85x

Answer:

What is the role of ethnocentrism in defining the concept of “progress”

Step-by-step explanation:

Answer:

you can ask to your teacher for help

Let the length be represented by l and the width, w.

The question says that the length is 3 feet longer than the width. This means that

The perimeter of a rectangle is given as

The perimeter of the sandbox is given as 22 feet.

Substituting the values for the perimeter and the length (w + 3) into the perimeter formula, we have

Solving, we have

Now that we have the value for the width, we can calculate the length as

The length is 7 feet and the width is 4 feet.

The surface area and volume of the given pyramid are 800ft³ and 1280ft³.

So, the formula for the surface area of the Right rectangular pyramid:

(Refer to the image attached below for calculation)

The surface area of the pyramid is 800ft³.

The formula for the volume of the Right rectangular pyramid:

(Refer to the image attached below for calculation)

The volume of the pyramid is 1280ft³.

Therefore, the surface area and volume of the given pyramid are 800ft³ and 1280ft³.

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It should be noted that the value of (f.g)(x) will be

12x³ + 28x² + 16x.

It should be noted that a function is simply used.to illustrate the relationship between the expressions that's given in the data.

From the information, the following can be illustrated:

f(x) = 3x + 4

g(x) = 4x² + 4x

Therefore, (f.g)(x) will be the multiplication of the variables. This will be illustrated as:

= (3x + 4) × (4x² + 4x)

= 12x³ + 12x² + 16x² + 16x

= 12x³ + 28x² + 16x

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Answer:

There would be 25 guests at the party.

Step-by-step explanation:

First, subtract $150 from $375
Then, divide the difference by $9
The quotient is the answer

So, [tex]x = 25[/tex] guests at the party

Equation:

[tex]375 - 150 = 225[/tex]
[tex]225 \div 9 = x[/tex]
[tex]x = 25[/tex] guests at the party.

Simple equation:
[tex](375 - 150) \div 9 = x\\x = 25[/tex]

The proof of the quadratic equation is represented by the equation 18(m₂)² = 18(m₂)²

Quadratic equations are second-order polynomial equations and they have the form y = ax² + bx + c or y = a(x - h)² + k

The quadratic equation is given as

ax² + bx + c = 0

From the question, we understand that

One of the roots is twice the other

This means that

m₁ = 2m₂

Where m₁ and m₂ are the roots of the quadratic equation

The quadratic equation is then represented as

(x - m₁) * (x - m₂) = 0

Substitute m₁ = 2m₂ in the equation (x - x₁) * (x - x₂) = 0

So, we have

(x - 2m₂) * (x - m₂) = 0

Expand the brackets

So, we have

x² - 2xm₂ - xm₂ + 2(m₂)² = 0

Evaluate the sum and the difference.

So, we have

x² - 3xm₂ + 2(m2)² = 0

In the above equation, we have

a = 1

b = -3m2

c = 2(m₂)²

Recall that

2b² = 9ac

So, we have

2 * (-3m₂)² = 9 * 1 * 2(m₂)²

Evaluate

18(m₂)² = 18(m₂)²

The above equation is true

Hence, it is true that if one root of the equation ax² + bx + c = 0 is twice the other, then 2b² = 9ac

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Answer:

c

Step-by-step explanation:

The function is defined at x=0.

|x|=0 and sin(0)=0, so the graph is continuous at x=0.

The graph of |x| is wrong in a, leaving c.

9) length of the tree is 22.165 meter

10 )  the length of the steel beams is 3.7464 meters

9 ) Given: The angle is 55.2 °

The length of the shadow is 15.5 meter.

To find : the length of the tree

The by using the formula tan θ = perpendicular / base

tan θ = length of the tree/ shadow

thus the length of the tree = length of shadow × tan θ

= 15.5 × tan 55.2

= 15. 5 × 1.43

= 22.165  meter

Thus the length of the tree is 22.165 meter

10) the angle of inclination = 42 °

The height of the slab is 5.6 meters

Thus the length of the steel beams is :

sin 42 ° = perpendicular / hypotenuse

hypotenuse = perpendicular × 0.669

hypotenuse = 5.6 × 0.669

= 3.7464 meters

Thus the length of the steel beams is 3.7464 meters.

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Answer:

reflection over the y-axis

Step-by-step explanation:

Answer:

Step-by-step explanation:

The male Cuban tree frog is about 2/5 the size of the female Cuban tree frog. The average size of the female Cuban tree frog is 6 inches. What is the size

Answer:

(4x - 5) + (3x + 11) = 104 (exterior angle)

7x + 6 = 104

7x = 98

x = 14

(A) The equation y = ( 1/4 )x + 2 best represents the relationship between x and y.

From the graph, we can see that the line is passing through points ( - 8, 0 ) and ( 0, 2 ).

So, to obtain the equation that represents the best relationship we will substitute the points in the equation to check whether they satisfy or not.

Consider option (a),

y = ( 1/4 )x + 2

For ( - 8, 0) :

0 = ( 1/4 ) × - 8 + 2

0 = - 2 + 2

0 = 0

For ( 0, 2 ):

y = ( 1/4 )x + 2

2 = (1/4) × 0 + 2

2 = 2

Hence, the equation y = ( 1/4 )x + 2 passes through both points.

Consider option (b),

y = 4x - 8

For point ( - 8, 0 )

y = 4(-8) - 8

y = - 32 - 8 = - 40 ≠ 0

For point ( 0, 2)

y = 4(0) - 8 = - 8 ≠ 2

Hence, the equation y = 4x - 8 does not pass through the points.

Consider option (c),

y = ( 1/4 )x - 8

For ( - 8, 0 )

y = ( 1/4 ) × - 8 - 8

y = - 2 - 8 = - 10 ≠ 0

For ( 0, 2)

y = ( 1/4 ) × 0 - 8 = - 8 ≠ 2

Hence, the equation y = ( 1/4 )x - 8 does not pass through points.

Consider option (d),

y = 4x + 2

For point ( - 8, 0 )

y = 4( - 8) + 2

y = - 32 + 2 = - 30 ≠ 0

For point ( 0, 2)

y = 4( 0 ) + 2 = 2

2 = 2

Hence, the equation passes through ( 0, 2) but does not pass through the point ( - 8, 0 ).

Therefore, the equation that represents the relationship between x and y is y = ( 1/4 )x + 2

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From the given actual height of tower 1083 feet and width 410 feet, the

scale model is equal to 1.98 feet tall.

As given,

Eiffel Tower's actual height = 1083 feet

Eiffel Tower's actual width at base = 410 feet

Scale model's width at base = 0.75 feet

To find: how much tall is the scale model of the Eiffel Tower

Let us assume the height of the scale model of the Eiffel Tower to be x feet

Then by the property of similarity of scale models, ratio of the height of actual Eiffel Tower to its scale model will be equal to the ratio of the width of their base.

=> [tex]\frac{x}{1083} = \frac{0.75}{410}[/tex]

=> x = 1.98 feet

Therefore,  the width of the base of the scale model of the Eiffel Tower is 1.98 feet with given actual height and width 1083feet and 410 feet respectively.

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Answer:

2.54

Step-by-step explanation:

values around 1/4 inch

The period of a function is the distance (x) between the repetion of this fuction.

As can be observed in the figure below:

Then, the period is: 7.5 - 1.5 = 6.

Answer: 6.

The value of the hats bought by John, Stacey, and Jim are $8 per hat. This shows a proportional relationship.

It should be noted that a proportional relationship is one where it van be expressed as y = kx.

In this case, John bought 3 for $24.00. This will be:

= $24 / 3

= $8 per hat

Stacey bought 5 for $40.00. This will be:

= $40 / 5

= $8 per hat

Jim bought 2 for $16.00. This will be:

= $16/2

= $8 per hat

Therefore, it's a proportional relationship.

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positive : 1, 2, 3, 4, 6, 9, 12, 18, and 36

negative : -1, -2, -3, -4, -6, -9, -12, -18, and -36

We have the following quadratic equation:

And we have to use the quadratic equation to solve that equation.

1. To find the solutions, we need to start by using the quadratic equation:

2. Identify a, b, and c from the given quadratic equation:

3. Apply the quadratic equation:

4. And now, we can develop it as follows:

Therefore, we finally have two solutions, x = -1, and x = -5.

Then the first step is given by:

EXPLANATION:

First we must know what data the exercise gives us; for exmple:

-Tells us that it reads a number of pages (unknown data) each month or per month.

-The exercise asks us, how many pages will have been read after 4 months.

We can see that we first have to find the number of pages in a month and then find the number of pages in 4 months.

The exercise is as follows:

The consumer surplus that Elijah will get based on the information is $1200.

It should be noted that consumer surplus simply means the economic measurement of the benefits that the consumer gets from market competition.

From the information, Elijah is lucky enough to get a rent-controlled apartment for $800 per month and the market rent on such an apartment is $3,000 per month.

Since Elijah herself values the apartment at $2,000 per month, the market surplus will be:

= $2000 - $800

= $1200

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Area of the green triangle = 81 mm squared

Answer:

Conversion of Dollars to Pounds is $1=0.90£

Step-by-step explanation:

b) when you calculate the amount you paid in total for 5 caramels and 4 milk chocolates, the total comes to $97,6 which is close to $100

Hope this helps !!

we have that

the solution of the given inequality is the interval

(-infinite,2/3) U (1, infinite)

so

Answer part c is

(-infinite,2/3) U (1, infinite)

Part b

In a number line, the solution is the shaded area at the left of x=2/3 (open circle) and the shaded area at the right of x=1 (open circle)

see the figure below to better understand the problem

please give me a minute to draw the solution