evaluate f(g(5)) if F (x) = 5x + 2 and g (x) =X2 -4

Answer:

A

Step-by-step explanation:

The function that best describes the graph is y = x²-9x+1+20

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

Given that, a graph, we need to find its function,

The parabola is intersecting the x-axis at 4 and 5, therefore, the function in the option having value of equal to 4 and 5 is the function of the graph,

So, the first function is =

y = x²-9x+20

Put y = 0,

x²-9x+20 = 0

Factorizing the equation to get the values of x,

x²-9x+20 = 0

x²-4x-5x+20 = 0

x(x-4)-5(x-4) = 0

(x-5)(x-4) = 0

Therefore,

x = 5, 4

Since, the function is having solutions x = 5 and x = 4, therefore, the graph is of the function y = x²-9x+20.

Hence, the function that best describes the graph is y = x²-9x+1+20

Learn more about function, click;

https://brainly.com/question/12431044

#SPJ7

Answer:

U 0,-2    S -2,-1   T -3 -5  will be the new points

Step-by-step explanation:

Answer:

9 is a coefficient

Step-by-step explanation:

9x-11.9

A coefficient is the number in front of the variable

9 is a coefficient and -11.9 is a constant

Answer:

Add a positive integer by moving to the right on the number line.

Subtract an integer by adding its opposite.

Step-by-step explanation:

Step-by-step explanation:

1, Add a positive integer by moving to the right on the number line.

2, Add a negative integer by moving to the left on the number line.

3, Subtract an integer by adding its opposite.

Answer:

2/11

Step-by-step explanation:

Let's say our fraction is x = 0.1818181818...

The trick is to multiply x by 10²=100 in this case, since there are two repeating digits, and then subtract the original x.

So, in fact you are subtracting 0.181818 from 18.181818 which effectively cancels the entire bit after the decimal point.

You get:

100x - x = 18

Which you can solve:

99x = 18

x = 18/99 = 2/11

Answer:

$6.06

Step-by-step explanation:

Edward: 36.00*0.87=31.32

Chad 36.00*0.71=25.25

31.32-25.25=6.06

$6.06

Hope this helps :-)

Answer: vrey suptuidddd

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

10x-4+x-14=180

11x-18=180

11x=180+18

11x=198

x=[tex]\frac{198}{11}[/tex]

x=18

Answer:

x = 18

Step-by-step explanation:

(10x -4) + (x-14) = 180 (for linear pair)

<=> 10x + x - 4 - 14 = 180

<=> 11x - 18 = 180

<=> 11x = 180+18 = 18 . 10 + 18 = 18 . 11

<=> x = 18

If all 216 tickets sold were faculty tickets, the revenue would be 216 * 2.5, or $540

The actual revenue collected was $450. The difference between $540 and $450 is $90.

The difference between the student and faculty tickets are $2.50-$2, or .50

$90.00 / .50 = 180 student tickets sold.

That leaves 216-180, or 36 as faculty tickets.

180 student tickets at $2 = $360

36 faculty tickets at $2.50 = $90

$360 + $90 = $450

Answer:

10, 12, 14, 15, 16,18,20

Step-by-step explanation:

A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself)

Hav a nice day

Happy if i get brainliest

The composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that, composite numbers must be greater than 10 but less than 20

An integer that is positive and not prime is a composite number. The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, and 15 commonly abbreviated as "composites"

In all areas of mathematics, including shape, measurement, quantifying quantities of objects, and computation, composite numbers are applied.

To put it simply, odd composite numbers are all odd numbers that are not prime numbers. For illustration, use 9, 15, 21, etc.

Thus, the composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.

Learn more about the number here:

brainly.com/question/17429689

#SPJ2

Answer:

50% of what number is 11.72 = 23.44

Step-by-step explanation:

50% is half, so simply doube it.

Answer:

8

Step-by-step explanation:

Gradient = Slope

In y = mx + b

m is the gradient of the straight line

[tex]gradient = 8[/tex]

Answer: C

Step-by-step explanation:

this is only the answer if the x is squared

plug 5 in for x

(5)^2-3(5)

25-15= 10

Answer:

0 2.4608

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

hope this helps

trust me

Answer:

Well Written

Step-by-step explanation:

Great Job

Answer:

Jan has 28 dimes.

Step-by-step explanation:

It would take 24 quarters or 60 dimes or 120 nickels to make $6.

So, I simply divided 24 by 3, which is 8 (but I did 7).

7 quarters is 1.75, and 28 dimes make 2.80, and 29 nickels make 1.45

1.75 + 2.80 + 1.45 = $6

Answer:

x = whole-valued numbers without fractions or decimal.

Step-by-step explanation:

An integer in mathematics refers to a whole number that can either be a positive or negative number but without any fractional part. Integers are numbers such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 etc.

Hence, when we say "x" is an integer, it simply means that the value of x should be a whole number that can either be a positive or negative number but without any fractional or decimal value or part.

In Mathematics, when solving for an unspecified or unknown integer we can use a lowercase alphabet "x" to denote the integer.

For instance;

2x + 5 = 11

2x = 11 - 5

2x = 6

Dividing both sides by 2, we have;

x = 3.

Answer:

Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.

Step-by-step explanation:

Sally shot her bow and gravity influences entirely on the motion of the bow, since distances are to small with respect to the radius of the Earth, gravitational acceleration can be considered constant. When arrow reaches maximum arrow, final velocity is zero. In consequence, the position of the arrow can be expressed in terms of the following kinematic equations:

[tex]y - y_{o} = v_{o}\cdot t +\frac{1}{2} \cdot g\cdot t^{2}[/tex]

[tex]0 = v_{o}+g\cdot t[/tex]

Where:

[tex]y_{o}[/tex], [tex]y[/tex] - Initial and final height of the arrow, measured in feet.

[tex]v_{o}[/tex] - Initial velocity, measured in feet per second.

[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.

[tex]t[/tex] - Time, measured in seconds.

In consequence, Sally would need two kinematic equations and know the values of gravitational acceleration to obtained the time taken by the arrow to reach maximum height.

Answer:

x = 1

Step-by-step explanation:

1. Add 3x to both sides of the problem

2. Add 7 to both sides

3. Divide both sides by 7

To make sure our answer is correct we can plug in 1 to x in the problem

Answer:           x= 7

Step-by-step explanation:

4x-7= -3x      First add -3x on both sides

+3x      +3x

7x  -7 = 0

     +7     +7               add 7 to both sides

7x      = 7  

x = 1               divide both sides by 7

Answer:

The answer is y = 15 (I'm pretty sure)

Step-by-step explanation:

Simplifying

5y = 75

Move all terms containing y to the left, all other terms to the right.

Divide each side by '5'.

y = 15

Simplify

y = 15

Answer:

y≥15

Step-by-step explanation:

5 times 15 = 75 so, y= y≥15

Answer:

2,698 mi

Step-by-step explanation:

3.8 hr × 1/2 = 1.9 hr

680 mi/hr × 1.9 hr = 1,292 mi

740 mi/hr × 1.9 hr = 1,406 mi

1,292 mi + 1,406 mi = 2,698 mi

Answer:

C(-3,3)

Step-by-step explanation:

Given

A = (7,-1)

B = (2,1)

AB:AC = 1:2

Required

Determine the coordinates of C

Since, B is between A and C; we need to determine ratio BC as follows;

[tex]AB:AC = 1:2[/tex]

Convert to division

[tex]\frac{AB}{AC} = \frac{1}{2}[/tex]

AC = AB + BC;

[tex]\frac{AB}{AB + BC} = \frac{1}{2}[/tex]

Cross Multiply

[tex]2 * AB = 1 * (AB + BC)[/tex]

[tex]2 AB = AB + BC[/tex]

[tex]2AB - AB = BC[/tex]

[tex]AB = BC[/tex]

Divide both sides by BC

[tex]\frac{AB}{BC} = 1[/tex]

Rewrite as

[tex]\frac{AB}{BC} = \frac{1}{1}[/tex]

Write as ratio

[tex]AB:BC = 1:1[/tex]

Next is to determine the coordinates of C as follows;

Because B is between both points. we have:

[tex]B(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where

[tex]m:n = AB:BC = 1:1[/tex]

[tex]B(x,y) = B(2,1)[/tex]

[tex]A(x_1,y_1) = A(7,-1)[/tex]

So; we're solving for x2 and y2

[tex]B(2,1) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where

Solving for x2;

[tex]x = \frac{mx_2 + nx_1}{m+n}[/tex]

[tex]2 = \frac{1 * x_2 + 1 * 7}{1+1}[/tex]

[tex]2 = \frac{x_2 + 7}{2}[/tex]

Cross Multiply

[tex]2 * 2 = x_2 + 7[/tex]

[tex]4 = x_2 + 7[/tex]

[tex]x_2 = 4 - 7[/tex]

[tex]x_2 = -3[/tex]

Solving for y2;

[tex]y = \frac{my_2 + ny_1}{m+n}[/tex]

[tex]1 = \frac{1 * y_2 + 1 * -1}{1+1}[/tex]

[tex]1 = \frac{y_2- 1}{2}[/tex]

Cross Multiply

[tex]2 * 1 = y_2 - 1[/tex]

[tex]2 = y_2 - 1[/tex]

[tex]y_2 = 2 + 1[/tex]

[tex]y_2 = 3[/tex]

Hence, the coordinates of C are: C(-3,3)

Answer:

29x-4

Step-by-step explanation:

All we need to do is substitute and solve:

f(-5) = 5(-5) + 40

f(-5) = -25 + 40

f(-5) = 15

Best of Luck!

Answer:

  10 units

Step-by-step explanation:

We can find the length of the hypotenuse of this right triangle using the Pythagorean theorem.

  AB² = AC² +BC²

  AB² = 2² +4² = 20

  AB = √20 ≈ 4.47

Then the perimeter is ...

  P = AB +BC +CA = 4.47 +4 +2 = 10.47

  P ≈ 10 units

Answer:

no. |-6| is +

Step-by-step explanation:

whenever a number has the symbol in the box, it makes it positive no matter what. -|6| = -6 while |-6| = +6

Answer:

|-6| has more value than -|6|

Step-by-step explanation:

|-6| = -|6| are not equal

|-6| = 6 absolute value of a number is positive no matter what is the sign

-|6| = -6 because the minus is out the absolute sign

Answer:

-f(x)=23+3x

-The cost of buying 10 CDs will be $38.

Step-by-step explanation:

From the information given, the cost function for purchasing 5 or more CDs has to indicate that you would pay 23 plus the result of multiplying 3 for the number of CDs over 5:

f(x)=23+3x, where:

x represents the number of CDs over 5

Using this function you can determine the cost of buying 10 CDs:

x would be equal to 5 that is the number of CDs over 5 when you buy 10 CDs:

10-5= 5

Now, you can replace the value of x:

f(x)=23+(3*5)

f(x)=23+15=38

According to this, the cost of buying 10 CDs will be $38.

Answer:

The positive and negative square roots of 36 are 6 and −6 .

root of -36=-6

root of 36=6

plZz mark brainliest