Find f(4) given f(x) = 2x^2 - 7

The number of edges of a polyhedron with 4 faces and 4 vertices will be 6.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Using Euler's formula, the number of the edges does a polyhedron with 4 faces and 4 vertices have

We know the formula for the edges of the polyhedron will be

F + V = E + 2

The number of faces, vertices, and edges of a polyhedron are denoted by the letters F, V, and E.

Then we have

4 + 4 = E + 2

     E = 8 - 2

     E = 6

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The system of equations that we need to solve is:

And the solution is x = 49 and y = 101.

Let's define the variables:

We know that the total number of CDs is 150, then:

x + y = 150

And we know that:

y = 2x + 3

Then the two equations that represent the information (and conform a system of equations) are:

x + y = 150

y = 2x + 3

b) The graphs of the two equations can be seen below.

c) To find the solution, we just need to see where the graphs intercept.

We can see that the intercept is (49, 101), this means that:

Isabella has 49 rock music CDs and 101 alternative music CDs.

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Check the picture below.

A function assigns the values. The table can be represented by a function.

A function assigns the value of each element of one set to the other specific element of another set.

No, the number of videos kept on Ruby's friends' phones cannot be expressed as a function of the number of songs. A function produces a distinct result for each input. When the input is 125, we get two distinct results. As a result, the table does not represent a function.

Hence, the table can be represented by a function.

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Answer: Commutative Property of Addition

Explanation:

This is the rule which says that we can add two numbers in any order.

For example, 3+2 = 2+3 since both sides result in 5. The rule can be extended to involve variables, because variables are placeholders for actual numbers. Also, the rule can be extended to any number of terms and not just two.

A more generalized form of the rule could be something like x+y = y+x

Answer:

    43. (2) $2.00

Step-by-step explanation:

Question 43

Subtract Equation 2 from Equation 1.

Answer:

(2)  $2.00

Step-by-step explanation:

Jack's order

3 slices of cheese pizza and 4 slices of mushroom pizza = $12.50

Grace's order

3 slices of cheese pizza and 2 slices of mushroom pizza = $8.50

The difference between the two orders is 2 slices of mushroom pizza.

The difference between the cost of the two orders is:

$12.50 - $8.50 = $4.00

Therefore, 2 slices of mushroom pizza costs $4.00

So the cost of 1 slice of mushroom pizza is:

$4.00 ÷ 2 = $2.00

Answer:

[tex]f (2t + 1) = 4t^{2} - 2t - 2[/tex]

Answer:

21.9

Step-by-step explanation:

When rounding to the nearest tenth, we are rounding to 1 decimal place.

If the number in the hundredth place is 5 or more, we round up.

If the number in the hundredth place is less than 5, we round down.

17.26 rounded to the nearest tenth is 17.3

as 6 is in the hundredth place, so we round 2 tenths up to 3 tenths.

4.556 rounded to the nearest tenth is 4.6

as 5 is in the hundredth place, so we round 5 tents up to 6 tenths.

Therefore, 17.3 + 4.6 = 21.9

The amount of money I would have after 45 years with an exponential increase is  $64,060.18.

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value

$2000 x (1.26)^15 = $64,060.18

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The probability of pulling a white marble from the jar is 0.

Probability determines the odds that an event would happen. The odds usually lie between 0 and 1.

The probability of pulling a white marble = total number of white marbles / total number of marbles

0 / 40 = 0

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the opposites would equal each other.

The last 2 answers are the correct ones.

Answer:

Here is the ans ..hope it helps

The amount that he spend in total for food on Friday will be $ 40.80. Then the correct option is C.

The sum is also know as addition.

The table below represents a breakdown of food costs for Robert, a traveling salesman.

The amount that he spend in total for food on Friday will be

→ 13.30 + 10.76 + 16.74

→ $ 40.80

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Answer:

44.98

Step-by-step explanation:

Answer:

If a game is "fair" it most likely means that there is a chance of winning a prize that corresponds with the price of playing the game.

Step-by-step explanation:

There is no one correct answer, but that is the premise of answering a question like that. you will need to elaborate further.

Answer:

There is no correct answer. but you could use-

The key role of probability is to improve decision-making in the face of uncertainties. It helps decision-making objective and data-driven rather than based on instinct.

Step-by-step explanation:

Answer: B. (10, 50)

Step-by-step explanation:

y = 0.5(20x - [tex]x^{2}[/tex])

[tex]y=-\frac{1}{2} x^{2} + 10x[/tex]

to find x coord of vertex use the equation

[tex]\frac{-b}{2a}[/tex]

[tex]x=\frac{-10}{-1} \\\\x=10[/tex]

plug in x to the original equation

y = 0.5(20(10) - [tex](10)^{2}[/tex]

y = 0.5(100)

y = 50

Answer: (10, 50)

The distance from B to B is 5.

This is because the distance between the original and new coordinates would remain the same. This is because it is done by translation and not because of the rotation. The distance between the two will still remain as 5.

Answer:

2 hours

Step-by-step explanation:

8:45-6:45=2:00

Answer:

See below ~

Step-by-step explanation:

Q1

Q2

The event A is an independent event while the event B is a dependent event.

An independent event is one that is not affected by the occurrence of other events while a dependent event is one that is affected by the occurrence of another event.

Event A is an independent event because the first player does not have to wait for any player before he plays.

However, event B is a dependent event as Jerome has to wait for for the first player to play before he can play.

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[tex]~~~~~~~\cos 45^{\circ} = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \dfrac 1{\sqrt 2} = \dfrac{\sqrt 3}{x}\\\\\\\implies x = \sqrt 3 \cdot \sqrt 2\\\\\\\implies x = \sqrt {3 \times 2}\\\\\\\implies x = \sqrt 6[/tex]

Answer:

the graph cannot represent a function because there are multiple (and likely infinite) places where y has changed but x remains the same

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given relations let you formulate two equations in the two unknown values. These can be solved by any of the usual methods.

__

Let x represent the caloric content of a cheeseburger, and y the caloric content of a small order of fries. The problem statement tells us ...

  2x +y = 1320

  3x +2y = 2170

__

Subtracting the second equation from twice the first gives ...

  2(2x +y) -(3x +2y) = 2(1320) -(2170)

  x = 470

Using the first equation, we can find y:

  y = 1320 -2x = 1320 -2(470) = 380

__

A cheeseburger has 470 calories; a small order of fries, 380 calories.

_____

Attached is a graphing calculator solution.

Answer:

[tex]160[/tex] °

Step-by-step explanation:

An alternative method is to use the exterior angle.

the sum of the exterior angles is ALWAYS 360 °

So you can find the size of the exterior angles of a regular polygon quite easily:

If there are 18 sides ( n = 18 ) , then each exterior angle is:

[tex]\frac{360}{n} =\frac{360}{18} = 20[/tex]°

The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line.

∴ each interior angle is 180° - 20° = 160°

Answer:

C

Step-by-step explanation:

Since the y-intercept is 9 look at the graphs and see which one has the point (0,9) and its gonna be the answer

Answer:

I think 2

Step-by-step explanation:

6-2is 4 8-6 2 both have common 6 and 2 multiple of 6is 2

Answer:

Square

Step-by-step explanation:

a plane figure with four equal straight sides and four right angles.

Answer:

Step-by-step explanation:

Comment

All triangles have 180 degrees. In this triangle, there is 1 ninety degree angle. The other two are related.

Equation

x + x + 10 + 90 = 180             Combine the left

Solution

2x + 100 = 180                       Subtract 100 from both sides

2x+100-100 = 180-100

2x = 80                                   Divide by 2

2x/2 = 80/2

x = 40

Answer

x = 40

x + 10 = 40 + 10 = 50

Answer:

Hope this helps, it was a hard equation... mark me brainliest

Step-by-step explanation:

9x+27÷8x-24=64÷2x

9x÷8x+3=64÷2x

9x÷8x*2x=61

x^3=244/9

x=

approximately  3.00411

Answer:

Step-by-step explanation:

Remark

You are trying to convert the base function f(x) = x^2 into the child function g(x) = -(x + 3)^2 + 5

UP

Start with the simplest part of the transformations. + 5

If you have g(x) = f(x)+5 what you have done is move the function up 5 units on your grid.

Up side Down

Next is the - sign.

f(x) = x^2

g(x) = - f(x) = - x^2

This has the affect of turning x^2 upside down. It looks like a cup opening towards the counter or down.

Left right

The last step is left / right. This is the hard one. It moves in the opposite direction that you think it should. x +3 moves the parabola left, not right. If you want it to move right, use (x - 3)

Graph

I have enclosed a graph to show you exactly what is going on. The red  line is f(x)=x^2

The blue line is g(x) = -(x + 3)^2 + 5