Given the function f(x)=-5x^2-x+20 find f(3)

Option: A is the correct answer.

                A. 10

We know that the number of subsets of exactly ''r'' elements that is formed by the help of n elements is calculated by:

            [tex]n_C_r[/tex]

Since here we have to chose 2 elements out of the 5 elements in order to form a subset.

Hence, we have:   n=5 and r=2

Hence, the number of subsets are:

[tex]5_C_2=\dfrac{5!}{2!\times (5-2)!}\\\\\\5_C_2=\dfrac{5!}{3!\times 2!}\\\\\\5_C_2=10[/tex]

Hence, the number of subsets are:

                                   10

Answer:

  A. 10

Step-by-step explanation:

Answer:

Number of girls = (6 / 10)* 50  = 6*5  = 30

so there are 30 girls in the soccer league.

Step-by-step explanation:

replace x with -1

4(-1)^3 +2 =

4*-1 +2

= -4 +2 = -2

 answer is -2

angle y = arcos(2.25/6)

= 67.97 degrees

round to 68 degrees

68 is less than 75 so it is not safe to use

Answer:

The equation that identify the situation is:

d= x + y

d= 15+38

d= 53

She brought 53 drawings.

Step-by-step explanation:

We know that Rosa brought d numbers of drawings to an art show.

She sold 15 of them and she had 38 left.

The number d of drawings that she brought to an art show is:

d= x + y

Where:

d: number of drawings she brought

x: number of drawing she sold

y: number of drawings she had left

d= 15+38

d= 53

She brought 53 drawings.

I removed all eight corners, leaving the total area unchanged.

I removed the central cube of the top surface obtaining an increase of the surface area with four units.

I removed one cube from the middle of an edge at the top (any of the four remaining) and I arrived at a figure with ten cubes less then the original one but with the same surface area.

The cube can be removed from the top middle and from the center if a 3 by 3 by 3 cube is made from 27 unit cubes.

An object's surface area refers to the overall space that its surfaces occupy.

Given:

The dimensions of the cube are 3 by 3 by 3

Calculate the surface area of the cube as shown below,

Surface area = 6 × side²

Surface area = 6 × 3²

Surface area = 6 × 9

Surface area = 54

I eliminated each of the eight corners, leaving the entire space untouched.

I deleted the top surface's central cube to increase the surface area by four units.

I started with a shape that was ten cubes smaller than the original one but had the same surface area after removing one cube from the center of one of the top edges (any of the four still there).

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Answer:

5 min

Step-by-step explanation:

Answer:

A. The graph of f(x) = |x| is shifted to the left 8 units, down 3 units.

Step-by-step explanation:

We are given,

The transformed function is [tex]f(x)=|x+8|-3[/tex].

Now, the parent function is [tex]f(x)=|x|[/tex].

So, we have,

When the parent function is shifted 8 units to the left, the function is [tex]|x+8|[/tex].

This function when translated 3 units downwards gives [tex]f(x)=|x+8|-3[/tex].

Thus, we get,

So, option A is correct.

Answer:

[tex]45\pi\ ft^3[/tex]

Step-by-step explanation:

The volume of the cone can be calculated using formula

[tex]V_{cone}=\dfrac{1}{3}\cdot \pi r^2\cdot H,[/tex]

where [tex]r[/tex] is the radius of the base circle and [tex]H[/tex] is the height of the cone.

Since [tex]r=3\ ft[/tex] (half of the diameter given in the diagram) and [tex]H=15\ ft,[/tex] then

[tex]V_{cone}=\dfrac{1}{3}\cdot \pi \cdot 3^2\cdot 15=45\pi\ ft^3.[/tex]

The given problem is =

[tex]( 10x-4x^{2} )-(7x+?)=3x-6x^{2}[/tex]

Lets suppose the missing term to be T

So equation becomes:

[tex]10x-4x^{2} -7x-T=3x-6x^{2}[/tex]

[tex]T=10x-4x^{2} -7x-3x+6x^{2}[/tex]

[tex]T=2x^{2}[/tex]

Hence, the missing term is [tex]2x^{2}[/tex]

Final answer:

There are 120 different ways for 4 members out of a family of 5 to line up for a photo shoot. This is calculated using permutations, where the order of members matters, and is found by the formula 5! / (5-4)!.

Explanation:

To find the number of ways 4 members from a family of 5 can line up for a photo shoot, we use the concept of permutations since the order of arrangement matters.

In mathematics, the number of permutations for selecting r objects from a set of n objects is given by nPr, which is calculated as n! (n factorial) divided by (n-r)! (the factorial of the difference between n and r).

In this case, we want to arrange 4 out of 5 family members, so n = 5 and r = 4. The permutation formula gives us:

5P4 = 5! / (5-4)! = (5 × 4 × 3 × 2 × 1) / 1 = 120 ways.

Therefore, there are 120 different ways for 4 members out of a family of 5 to line up for a photo shoot.

Answer:

0.60

Step-by-step explanation:

hope this helps

Answer:  The correct option is (C) [tex]3a.3a.3a.[/tex]

Step-by-step explanation:  We are given to select the correct representation of the following exponent expression :

[tex]E=(3a)^3.[/tex]

We will be using the following property of exponents :

[tex]a^n=a.a.a.~.~.~.~(n~times).[/tex]

So, for the given expression, we get

[tex]E=(3a)^3=3a.3a.3a.[/tex]

Thus, the correct representation is [tex]3a.3a.3a.[/tex]

Option (C) is CORRECT.

since the 2 in 0.02 is in the hundredths place, you need to multiply that by 100 to eliminate the decimal, then you would need to multiply the other numbers by 100 as well

 Answer is D) 100

The decimals place in a number can be shifted right or left by multiplying or dividing by powers of 10 respectively

The option which gives the number that will multiply each term of the equation -m + 0.02 + 2.1·m = -1.45 - 4.81·m to eliminate the decimals before solving, is option D)

D) 100

Reason:

The given expression is presented as follows;

-m + 0.02 + 2.1·m = -1.45 - 4.81·m

The number that can multiply the terms to eliminate the decimals before solving

Solution;

The number of decimal places to which the coefficient and constant values are given = 2 decimal places

Therefore, to eliminate the decimal places, the decimal point of each term has to be moved two places to the right

To move decimal points to the right x number of places is given by multiplying the number by 10ˣ

Therefore, to move the decimal point two places to the right so as to eliminate the decimal point, by multiplicative property of equality, we have;

10² × (-m + 0.02 + 2.1·m) = 10² × (-1.45 - 4.81·m)

10² = 100, therefore, we have;

100 × (-m + 0.02 + 2.1·m) = 100 × (-1.45 - 4.81·m)

-100·m + 2 + 2,100·m = -145 - 481·m

Therefore, the number the equation, -m + 0.02 + 2.1·m = -1.45 - 4.81·m, is to be multiplied by is 100

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Multiply by -4 and flip the inequality symbol. The correct option is D.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Here are the steps to solve the whole equation of -1/4x > 8:

Simplify the fraction to x/4

Multiply both sides by 4

Multiply 8 x 4 so it can be 32

Multiply both sides by -1

The value of x is less than -32.

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