f ( x ) = x 2 + 6 x and g ( x ) = x − 8 , calculate. f ( g ( − 5 ) ) =

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

First we have to calculate g (-5) :

[tex]\qquad \tt \dashrightarrow \:x - 8[/tex]

[tex]\qquad \tt \dashrightarrow \: - 5 - 8[/tex]

[tex]\qquad \tt \dashrightarrow \: - 13[/tex]

Now, let's find f (g (-5)) :

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x[/tex]

[tex]\qquad \tt \dashrightarrow \:( - 13) {}^{2} + (6 \times - 13)[/tex]

[tex]\qquad \tt \dashrightarrow \:169 + ( - 78)[/tex]

[tex]\qquad \tt \dashrightarrow \:169 - 78[/tex]

[tex]\qquad \tt \dashrightarrow \:91[/tex]


Related Questions

given f(x)= 8x+1/2x-9 what is the end behaviors of the function

Answers

The behavior of the function f(x) describes the direction of the function

The behavior of the function is as x -> ∞, f(x) -> 4 and x -> -∞, f(x) -> 4

How to determine the end behavior?

The function is given as:

f(x)= 8x+1/2x-9

Start by plotting the graph of the function f(x).

From the graph (see attachment), we have the following highlights:

The function has an asymptote at y = 4This means that: as x approaches infinity or negative infinity, f(x) approaches 4

Hence, the behavior of the function is as x -> ∞, f(x) -> 4 and x -> -∞, f(x) -> 4

Read more about function end behaviors at:

https://brainly.com/question/1365136

Please help! I really need it

Answers

To find the volume of a triangular prism:

 ⇒ necessary to know the formula

     [tex]Volume = (Area-of-Triangular- base)*(length)[/tex]

Let's first find the area of the triangular base:

 ⇒the formula for the finding the area of a triangle is ⇒ [tex]\frac{1}{2}bh[/tex]

b: length of base --> 3mmh: length of height: 6mm

     Area of the triangle is  [tex]\frac{1}{2}*3*6=3*3=9[/tex]

Since the area of the triangular base is 9 and the length is 5.22

 ⇒ the volume is:

         [tex]Volume = 9 * 5.22=46.98mm^3[/tex]

When the volume is rounded to the nearest tenth, the volume is 47.0 [tex]mm^3[/tex]

Hope that helps!

   

When should you suggest that a peer rearrange some of the paragraphs in her report?

when you’re having trouble understanding how the sentences are related to each other

when the most convincing or persuasive evidence appears first in the report, followed by background information

when you find a section that seems unrelated to the rest of the report

Answers

The main answer:

D: when you find a section that seems unrelated to the rest of the report

Step-by-step explanation:

I don't have an explanation for this, sorry!)

Hope it helps!

F r o g

Answer:

D: when you find a section that seems unrelated to the rest of the report

Step-by-step explanation:


I neeed hellppppp plissss

Answers

Answer:

I believe C is the closest equation to the graph

Step-by-step explanation:

Express 16 minutes as a percentage of 20​

Answers

Answer: 80.00

Step-by-step explanation: To convert minutes into percentages, divide the measured number of ... To write your answer in percentage form, multiply the decimal by 100

hope this helps ig

I don’t know corn is better

please help me with this math question ( stop taking it down i did nothing wrong)

Answers

The area of the trapezoid is [tex]\frac{1}{2}(b1+b2)*h[/tex]

b1 ⇒ length of one of the bases ⇒ 3 kmb2 ⇒ length of the other base ⇒ 5 kmh ⇒ height of trapezoid ⇒ 9km

Therefore the area is:

   [tex]\frac{1}{2}*(3+5)*9 =\frac{1}{2}*(8)*9=4*9=36km^2[/tex]

Area: 36 square kilometers

Hope that helps!

8. Select the expression that is equivalent to 12/48.

A. 6(8+6)

B. 12(4+1)

C. 4(44+3)

D. 8(6+4)

Answers

Answer:

D

Step-by-step explanation:

PLEASE HELP *URGENT*

Answers

Answer: I have completed the worksheet in the image provided

Answer:

The full equation is below. :) I hope this helps! Have a lovely day/night!!

Step-by-step explanation:

[tex]\frac{z}{2} + 7 = 35\\\\-7 -7\\\\2 * \frac{z}{2} = 28 * 2\\\\z = 56[/tex]

Find the value of x. Circle geometry.

Answers

Answer:

x = 18

By Pythagoras Theorem:

[tex] {(x + 7)}^{2} = {(7)}^{2} + {(24)}^{2} \\ \\ \implies \: (x + 7)^{2} = 49 + 576 \\ \\ \implies \: (x + 7)^{2} = 625\\ \\ \implies \: x + 7 = \pm \sqrt{625}\\ \\ \implies \: x + 7 = \pm \: 25\\ \\ \implies \: x + 7 = 25 \: \: or \: \: x + 7 = - 25 \\ \\ \implies \: x = 25 - 7 \: \: or \: \: x = - 25 - 7 \\ \\ \implies \: x = 18 \: \: or \: \: x = - 32 \\ \\ x \: can \: not \: be \: negative \\ \implies \: x \neq \: - 32 \\ \implies \: x = 18[/tex]

4 mg string streched and spring constant 20cm what force constant​

Answers

225 cm is the answer maybe
225cm is the answer! Hope it helps.

Frank got a gift for his sister and put it in a shoebox.



Note: Figure is not drawn to scale.

Now, he wants to wrap it with wrapping paper. If the length of the shoebox measures 12 in, the width measures 6 in, and the height measures 5 in, how much wrapping paper does he need to cover the shoebox?
A.
648 sq in
B.
162 sq in
C.
486 sq in
D.
324 sq in

Answers

L=12 inB=6inH=5in

We need TSA

2(LB+BH+LH)2(12×6+5×6+12×5)2(72+30+60)2(162)324in²

Answer:

D. 324 in²

Step-by-step explanation:

Given :

Length of shoebox = 12 in

width = 6 in

height = 5 in

The Total surface area of cuboid = 2(lw + lh + wh )

=> 2 (12×5 + 12×6 + 5×6 )

=> 2( 60 + 72 + 30 )

=> 2( 162)

=> 324 in²

Please help! I wish you a good day :)

Answers

Answer:

A=p2-2p-3

Step-by-step explanation:

The area for a triangle is given by:

A=1/2bh

The base is p + 1 and the height is 2p - 6. Therefore:

A=1/2(p+1)(2p-6)

Simplify the second term:

A=(p+1)(1/2)(2p-6)=(p+1)(p-3)

Distribute:

A=p(p-3)+1(p-3)

Distribute:

A=p2-3p+p-3

Combine like terms:

A=p2-2p-3

Looking for the best answer on this

Answers

Answer:

[tex]\tt B)\: \cfrac{x+3}{x-3}[/tex]

Step-by-step explanation:

[tex]\tt \cfrac{5x+15}{5x-15}[/tex]

Factor out the common term 5

5x+15 → 5(x+3)

5x-15 → 5(x-3):-

[tex]\tt \cfrac{5\left(x+3\right)}{5\left(x-3\right)}[/tex]

Cancel the common factor → 5

[tex]\tt \cfrac{x+3}{x-3}[/tex]

Therefore, your answer is B!!

_____________________

Prove that y=tan(mx) = sin(mx)/cos(mx)​

Answers

The equation tan(mx) = sin(mx)/cos(mx)​ is a trigonometry equation

The trigonometry equation tan(mx) = sin(mx)/cos(mx)​ is true

How to prove the statement?

The equation is given as:

tan(mx) = sin(mx)/cos(mx)​

The tangent of an angle is the ratio of the sine and the cosine of the angle.

This means that:

tan(α) = sin(α)/cos(α)

By comparison, we have:

α = mx

Substitute α = mx in tan(α) = sin(α)/cos(α).

So, we have:

tan(mx) = sin(mx)/cos(mx)​

Hence, the trigonometry equation tan(mx) = sin(mx)/cos(mx)​ is true

Read more about trigonometry equations at:

https://brainly.com/question/8120556

Step-by-step explanation:

Below in the attached picture is the proof for tangent

While playing a real-time strategy game, Juan created military units for battle: long swordsmen, spearmen, and crossbowmen.
Long swordsmen require 75 units of food and 25 units of gold. Spearmen require 40 units of food and 30 units of wood.
Crossbowmen require 30 units of wood and 40 units of gold. If Juan used 1475 units of gold, 1500 units of wood, and 4025 units
of food to create the units, how many of each type of military unit did he create?
Juan created
long swordsmen.
Parti

Answers

Juan created 35 long swordsmen, 35 spearmen and 15 crossbowmen.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represnt the number of long swordsmen, y represent the spearmen and z represent the crossbowmen. Hence:

75x + 40y = 4025     (1)

25x + 40z = 1475     (2)

And:

30y + 30z = 1500 (3)

Hence;

x = 35, y = 35 and z = 15

Juan created 35 long swordsmen, 35 spearmen and 15 crossbowmen.

Find out more on equation at: https://brainly.com/question/1214333

4 1/2 x 2 1/2 x 8 1/2 =

Answers

Answer:

[tex]95\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]4\frac{1}{2} * 2\frac{1}{2} * 8\frac{1}{2}[/tex] = 9/2 * 5/2 * 17/2

765/8 = [tex]95\frac{5}{8}[/tex]

Vectors r, s, t, u, and v are shown on the graph.

Which of the following vectors is equivalent to 2/3v (Image shown)

Answers

2/3 of v is like most of the size, 1/3 is cut. So s I think.

what is this sphere’s volume? radius is given, please round to nearest tenth

Answers

Answer:

179.59438

rounded to the nearest tenth would be 179.6

Step-by-step explanation:

use this formula

volume = (4/3) · π · r3

1 yard (yd) = 3 feet (ft); 1 foot (ft) = 12 inches (in) how many inches are there in 5 yards?

Answers

Answer: 180 inches

Step-by-step explanation:

We can use dimensional analysis. Our desired units are inches per yard. Begin by writing down:

[tex]\frac{12in}{1ft}[/tex]

Then use the conversion factor of feet to yard. The units of feet will cancel giving:

[tex]\frac{12in}{1ft} *\frac{3ft}{1yd}=\frac{36in}{1yd}[/tex]

Multiply the top and bottom by 5 to get:

[tex]\frac{36in}{1yd} *\frac{5}{5} =\frac{180in}{5yd}[/tex]

20 points if you answer please.. The container is partially filled with unit cubes. How many unit cubes fit in the container?

A drawing of a rectangular prism-shaped container partially filled with unit cubes. There are 9 cubes along the length, 7 cubes along the width, and 5 along with the height.

The container can hold
unit cubes.

Answers

Answer:

length times width times height. 9x7x5= 315 unit cubes

Step-by-step explanation:

Using the common​ denominator, what is an equivalent fraction to 5/6

Answers

Hey there!

ORIGINAL QUESTION: “FINDING OUT WHATS EQUIVALENT TO 5/6”

We’re NOT sure what your equation should look like so we will make it like:

5/6 = z/6


CURRENT EQUATION:

5/6 = z/6

FIRST: CROSS MULTIPLY the NUMBERS

5(6) = z(6)

5(6) = 6(z)

NEW EQUATION (TEMPORARILY)

30 = 6z

6z = 30

DIVIDE 6 to BOTH SIDES

6z/6 = 30/6

CANCEL out: 6/6 because it give you 1

KEEP: 30/6 because it help solve for the z-value

NEW EQUATION: z = 30/6

SIMPLIFY IT!

z = 5


Thus, your answer is: 5/6 = 5/6


FUN FACT: THERE IS MULTIPLE FRACTIONS THAT ARE EQUIVALENT TO THE GIVEN FRACTION.

EXAMPLE(S):

• 10/12
• 20/24
• 30/36
• 40/48
• 50/60
• 60/72

ANYWAY!

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

doess 0.6 come between 0.5 and 0.55

Answers

Answer:

no

Step-by-step explanation:

it comes after both the numbers

No.
If you wanted to do this to make it easier, write .5 and .6 with an extra 0
Treat it as if it were a whole number
Does 60 go between 50 and 55? Your answer would be no. But just remember if you do this to remember adding a 0 at the end doesn’t change its value.

PLEASE HELPPPPPPPPPP!!!!!!


Find the surface area of the pyramid to the nearest whole number.




115 in2


186 in2


230 in2


179 in2

Answers

Answer:

I think the answer is 115 in2

Step-by-step explanation:

If you multiply 7.2 x 7.2 then you say + 8 * 8 is 64 plus 64 equal to 115

Rule 1: Multiply by 2, then add one third starting from 0. Rule 2: Add one half, then multiply by 4 starting from 1. What is the third ordered pair using the two sequences?

(0, 1)
(one third, 6)
(1, 26)
(two and one third, 106)

Answers

Answer:

i dont know  at all im stuck to

Step-by-step explanation:

The third ordered pair using the two sequences as described in the task content is; (two and one third, 106).

What is the third ordered pair of the two sequences?

It follows from the description of the task content that the third ordered pair of each sequence is as follows;

Sequence 1; 0(2)+1/3 = 1/3(2) + 1/3 = 1(2) + 1/3 = 2 1/3.

Sequence 2; (1+1/2)4 = (6+1/2)4 = (26 +1/2)4 = 106.

On this note, it follows that the required ordered pair is; (two and one third, 106).

Read more on sequences;

https://brainly.com/question/6561461

use Mental Math to determine if the circumference of a circle with a radius of 5in will be greater than or less than 30 in write an argument that can be used to justify your solution​

Answers

Answer:

It will be greater than 30.

Step-by-step explanation:

(Any following math is easy to do in your head and therefore mental math.)

In order to find the circumference, you multiply the diameter by pi.

The radius is half of the circumference so if you double the radius you get the circumference.

5 × 2 = 10

The default for pi is 3.14, so it's a little more than 3.

10 × 3 = 30

If just 3 is 30, then anything more ( like the 0.14), will make it over 30.

Brainliest please?  

what is the value of the expression 1/12 divided by 36

Answers

Answer:

1/2÷36=1/432 maybe this is the answer

What is the measure of the angle?​

Answers

Answer:

it a 90 degree angle hope this helps:)

Step-by-step explanation:

90 degrees. Hope this helps…………

Find the slope and the y intercept of the line -7x-2y=10

Answers

Answer:

Gradient = -3.5, y - intercept = ( 0 , -5 )

Step-by-step explanation:

→ Rewrite into y = mx+ c format

-2y = 7x + 10

→ Divide everything by 2

-y = 3.5x + 5

→ Multiply everything by -1

y = -3.5x - 5

What is the rule for 1 10 28 64 136

Answers

Answer:

2x+8

Step-by-step explanation:

The rule is 2x+8; the formula you have written and erased was correct. The next number in the sequence would be 568

Please I need help!!

Answers

Answer:

Min:3 Q:66-9 Med:9 Q3:10-14 Max19

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