Let ​f(x)=x2−16 and ​g(x)=15−x. Perform the composition or operation indicated.
​(fg)(7​)

Answer:

42/7

Step-by-step explanation:

Change 6 to a fraction by putting a 1 under the 6.

6 becomes 6/1

Then multiply by 7/7 to change the denominator to 7 as was asked for in the question.

6/1 × 7/7

= 42/7

When you multiply fraction × fraction, you multiply top×top and bottom×bottom.

6 rewritten as a fraction with the 7 on the bottom is 42/7

Answer:

x intercept: (-8,0)

y intercept: (0,2)

Answer:

the 1st one

Step-by-step explanation:

The graph A satisfy the condition. Then the correct option is A.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The condition for the maximum will be

f(x)'' < 0

The condition for the minimum will be

f(x)'' > 0

The graph has the maximum value at 3 and the minimum value at –9.

In the graph A, the curve start from the minimum of negative 9 and reaches to the maximum value of 3.

Then the graph A satisfy the condition.

Then the correct option is A.

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Answer:

KL= 17.67 unit

UE = 17.67 unit

Step-by-step explanation:

Given:

Diagonals

KL= h+7

UE = 4h-25

Find:

Length of diagonals KL and UE

Computation:

We know that in isosceles trapezoid the length of diagonals are equal

So,

KL = UE

h+7 = 4h-25

3h = 32

h = 10.67

So,

KL= h+7

KL= 10.67+7

KL= 17.67 unit

UE = 4h-25

UE = 4(10.67)-25

UE = 17.67 unit

The number of ducks in a farm are 20 and the number of pigs in a farm are 8.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, in a farm there are 28 animals and combined they have 72 legs.

Let the number of pigs be p and let the number of ducks be d.

Here, p+d=28 ------(i)

4p+2d=72 -------(ii)

From equation (i), p=28-d

Substitute p=28-d in equation (ii), we get

4(28-d)+2d=72

112-4d+2d=72

112-72=2d

d=20

Substitute d=20 in equation(i), we get

p+20=28

p=8

Therefore, the number of ducks in a farm are 20 and the number of pigs in a farm are 8.

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The number of revolutions made by the wheel is 5.24 ≅ 5.  

One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.    

Here we have

A wheel rotated by 1888°  

As we know One complete revolution is equal to 360 degrees

Hence, the angle can be rotated by the wheel in 1 rotate = 360°  

Let the wheel make 'x' revolution to make 1888°  

=> 360(x) = 1888

=> x = 1888/360

=> x = 5.24

Therefore,

The number of revolutions made by the wheel is 5.24 ≅ 5.    

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Answer:

D but see below.

Step-by-step explanation:

So you have a question that has no clear answer. If Jeff took grade 11 and Lana took grade 12, that would make the answer much clearer. At least there would be no duplicates.

If you could refine the question a little more, you might get a clearer answer. I don't think this question should be asked and I sure don't think you should try and give an answer.

However that's not how schools work. So I would pick D, but by some bizarre method, the asker (like edge) might think of a way to make A B or C true.

Answer:

The set M of all square numbers less than 80 is:

M = {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set N of all non-negative even numbers that are under 30 is:

N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

Answer:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Step-by-step explanation:

A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.

The square numbers less than 80 are:

An even number is an integer that is divisible by 2 without leaving a remainder.

The non-negative even numbers that are under 30 are:

Therefore:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

\(\dfrac{x+4}{3} =7\)

Multiply both sides by 3:

\((\dfrac{x+4}{3} )\times3=(7)\times3\)

\(x+4=21\)

Subtract 4 from both sides:

\(x+4-4=21-4\)

\(\boxed{x=17}\)

Answer: 0.44

Step-by-step explanation:

If the probability that someone does action A is a, and the probability that someone does action B is b, the probability that someone does action A or B is a+b.

So in this case, the probability that a parent participates in the PTA or the planning board = 0.17+0.27 = 0.44

The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

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Answer:D

Step-by-step explanation: Multiply the expression

The value of x, in degrees, is given as follows:

A. 48.

Similar triangles are triangles that share these two features given as follows:

The similar triangles in this problem are listed as follows:

WUV and WUT.

In triangle UWV, the length of the side adjacent to the angle of 48º has a length of 13.5 cm.

In triangle WUT, the length of the side adjacent to the angle of x has a length of 13.5 cm.

Reminding the two features of similar triangles, namely congruent angle measures and proportional side lengths, the measure of angle x is given as follows:

x = 48º.

(as the equivalent side length is the same, hence the angle measure is also the same).

This means that option A is correct.

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The GCF is 2cd^2e^3

====================================================

Explanation:

For now, we'll focus on the coefficients. These are the numbers to the left of the variable terms.

The coefficients are: 10, -16, 4

Find the prime factorization of each coefficient:

Notice that each prime factorization has exactly one copy of "2" and nothing else in common, which means the GCF of 10, 16, and 4 is 2. You can use a factor tree to help verify this.

Therefore, the final coefficient we'll factor out is 2.

----------

Now onto the variable terms.

The variable terms are: cd^4e^3 and c^2d^6e^3 and c^5d^2e^4

Focus on the c terms and they are: c, c^2, c^5

The GCF of the c terms will be the one with the smallest exponent. So that would be c.

The d terms are d^4, d^6, d^2. Circle d^2 since that involves the smallest exponent.

The e terms are e^3, e^3, e^4. The GCF of the e terms is e^3 because we circle the smallest exponent.

-----------

Summary so far:

The GCF of each piece is glued together to get the overall GCF.

The overall GCF is 2cd^2e^3

What do we do with this GCF? We will divide each original term by the GCF to help us factor out the GCF.

\(\frac{10cd^4e^3}{2cd^2e^3} = 5d^2\\\\\frac{-16c^2d^6e^3}{2cd^2e^3} = -8cd^4\\\\\frac{4c^5d^2e^4}{2cd^2e^3} = 2c^4e\\\\\)

Those results are then what's left in the parenthesis after factoring out the GCF.

So we have this final answer

2cd^2e^3(  5d^2  - 8cd^4  + 2c^4e )

The answer can be confirmed by distributing the outer term back through to each inner term.

Answer:

6 x 10⁶ or 6,000,000

Step-by-step explanation:

100 × (200 × 300)

100 x 60,000 → 6,000,000

6,000,000 → 6 x 10⁶

Hope this helps! :)

The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

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Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

-1, 1

13, 15

Step-by-step explanation:

x and x+2 are the integers

Roots of the quadratic equation are: -1 and 13.

So the integers pairs are: -1, 1 and 13, 15

The value of b can be -5.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

The given inequality is 3b ≤ 5b + 1.

We have to solve the inequality.

3b ≤ 5b + 1

Subtracting 5b from both sides, we get,

3b - 5b ≤ 1

-2b ≤ 1

b ≤ -1/2

The value which is less than -1/2 in the options is only -5.

Hence the value of b can be -5.

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Answer: Coin B And Coin C

Step-by-step explanation:

how is your day going to amas tomorrow and I will be there in about an hour or so close to the clan is fulo in

A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.

Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.

The equation would be 3 x + 2 = 14.

So we can solve for the equation to be :

3x + 2 - 2 = 14 - 2

3x = 12

3 x / 3 = 12 / 3

x = 4

In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.

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The answer would be x = -3

no they are not equivalent

Step-by-step explanation:

due that when you subtract 12 from 4 =8

but when you subtract 9-2=7 and that when Charlie will be losing a dollar and that Melody will have a dollar more

Jerica's net worth is $1500.

Net worth is asset minus the liabilities. Assets include savings account, retirement account and so on or items like car or property which you can sell for cash. Liabilities include money that you owe to another person or entity.

According to the question we have been Jessica's

                   Assets = $4000

                   Liabilities = $2500

The formula for the net worth is given as below :

     Net worth = Asset - Liabilities

Putting the required values in above formula we get

          Net worth = $4000 - $2500

          Net worth = $1500

Hence Jerica's net worth is $1500.

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