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What we know:      

[tex]f(x)=3^2+10x\\g(x)=2x-4[/tex]                

(Also, [tex]3^2=9[/tex])

What we need to solve:

[tex](f-g)(x)[/tex]             (This is equal to [tex]f(x)-g(x)[/tex])

How you have to subtract [tex]f(x)[/tex] with [tex]g(x)[/tex] to get:

[tex](f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5[/tex]

Thus, the answer would be:

[tex]12x+5[/tex]

Answer:

A

Step-by-step explanation:

From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.

A linear function is modeled by:

y = mx + b

In which:

In this problem, when x increases by 20, y decays by 6, hence the slope is given by:

[tex]m = -\frac{6}{20} = -0.3[/tex]

Then:

y = -0.3x + b.

When x = -54, y = 12, hence:

y = -0.3x + b

12 = -0.3(-54) + b.

b = -4.2.

Thus, the equation is:

y = -0.3x - 4.2.

The x-intercept is the value of x when y = 0, hence:

-0.3x - 4.2 = 0.

x = -4.2/0.3

x = -14

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

Step-by-step explanation:

rate plsss

Answer: 32 cups

Step-by-step explanation:

1 quart: 4cups

8 x 4 : 36 cups

Answer:

Cylinder: 3.14(20)^2*31

3.14(400)*31

1,256*31

becomes the answer 38,936!

Pyramid: 1/3(33)^2*21

1/3(1,089)*21

363*21

7,623!!!

Answer:

Length of armoured vehicle:  19.8 ft

Step-by-step explanation:

1 is to 3.3 in as 72 is to x:

   1         72

-------- = --------

 3.3         x

This yields x = 237.6 (inches), which corresponds to 237.6/12 (feet):

Length of armoured vehicle:  19.8 ft

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -9      y_1= -3  

     m= 2 (the slope)

an equation in the point-slope form is : y +3 = 2(x+9)

means : y+3 =2x +18

an equation in slope-intercept id : y=2x+15

Answer:

5 apples

Step-by-step explanation:

[tex]\frac{31}{6}=5.16666667[/tex]

Since the problem asks for how many apples, you'll have to round down the number you get. 5.16666667 rounded down gives you 5 apples each.

Answer:

8000 * 1.025 = 8200

commision = 200

Step-by-step explanation:

Answer:

35 hours

Step-by-step explanation:

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3.  lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

Answer:

40

Step-by-step explanation:

Since n=8, then you do 8x5=40.

Answer:

40

Step-by-step explanation:

n x 5

We know what n is equal (8), so we can substitute that number in the given equation.

n x 5 = (8) x 5 = 40

Therefore, the value of n x 5 when n = 8 is 40.

I hope this helps and please mark me as brainliest!

Answer:

125

Step-by-step explanation:

Assuming the lines are parallel :

n = 180-125

= 55

x = n

x = 55

z = 180-55

= 125

Answers:

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

Explanation:

Answer:

Class C has least variability and Class B has highest variability.

I think it will help you

Range= Large- Small Data

Answer:

[tex]\sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]

Step-by-step explanation:

Given equation

[tex] \sf {x}^{2} - 9x + 20 [/tex]

Rules for factorisation,

distribute the middle term in such a way that constant of each term when multiplied outputs the last number.

The middle term -9x can be written as sum of -5x and -4x, and when we multiply -5 with -4 it turns+20.

rewriting equation,

[tex] \sf \hookrightarrow {x}^{2} - 5x - 4x + 20 \\ \sf \hookrightarrow x(x - 5) - 4(x - 5) \\ \sf \hookrightarrow \: (x- 4)(x - 5)[/tex]

[tex] \sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]

Thanks for joining brainly community!

Answer:

[tex] \: [/tex]

Step-by-step explanation:

So, here we have to factorise the polynomial :

[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 9x + 20\\ \\[/tex]

We are to find two numbers such that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p \times q = 20 \:}}} \\ \\[/tex]

The two numbers are 4 and 5, so

[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 5x - 4x+ 20\\ \\[/tex]

Finding common factors :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad {x} (x - 5) - 4(x - 5) \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x - 5) (x - 4) \:}}} \\ \\[/tex]

Some points to know :

The line AB from the diagrammatic expression of the tangent of the circle shows that line AB is 24.0

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Then, we can infer that line EA = DE since they are both (radii of the circle.)

By using the formula for Pythagoras theorem, we can find line |EA|.

where;

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

Learn more about finding the tangent of a circle here:

https://brainly.com/question/16507124

168,581

________________________________________________________

Follow PEMDAS

Always start with the top of the list, parentheses. Prioritize anything in parentheses.

[tex](24,672 - 589)[/tex]

start in hundreds place, then subtract from there.

[tex](24,672 - 589) = 24,083[/tex]

Next, multiply by 7.

[tex]24,083 * 7 = 168,581[/tex]

________________________________________________________

Ask in the comments box.

Answer:

x= 54

Step-by-step explanation:

let the number be (x)

so One sixth of x will be 9

numerically,

1/6 × (x) =9

x= 9×6

x= 54

One-sixth can be written as [tex]^1/_6[/tex]

now, let the number be y

so one-sixth of y is written as

[tex]^1/_6~y~=~9[/tex]

First we need to get rid of the fraction, one-sixth.

since in mathematics we can't just terminate fractions without altering the equation/expression itself, we need to perform an operation.

the first one is multiplication; we will multiply both sides of the equation by 6 (the denominator of the fraction)

[tex]^1/_6*6~y~=~9~*~6}[/tex]

On the left-hand side the 6's cancel, and we're left with

1 y = 9 * 6

Or

y = 9* 6

Which simplifies to :

y = 54

The fraction of menu options that are sandwiches is 70/100, or 0.7 in decimal form.

Out of the 10 options on the menu, 7 are sandwiches.

Then the fraction of options in the menu that are sandwiches is:

7/10

But we want the denominator to be 100, so we multiply both numerator and denominator by 10 to get:

7*10/10*10 = 70/100

This is the fraction we wanted.

Now, we want it as a decimal, this will be:

70/100 = 0.7

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

Answer:

m3 and m4 are supplementary

Step-by-step explanation:

since m3 and m4 are supplementary, we can state that m3 and m4 are supplementary
see full explanation in the vid below

Answer:

D, I think…

Step-by-step explanation:

I used PEMDAS to go through and simplify and see which values match.

Answer:

12 eggs/carton

Step-by-step explanation:

The desired rate is (108 eggs) / (9 cartons) = 12 eggs/carton

Answer:

4.06 i think

3/8 = 0.375

2/3 = 0.667

0.375 + 0.667 = 1.042

answer : c. no, because 3/8 + 2/3 is more than 1

Answer:

The answer is A. {2,4}

Step-by-step explanation:

I took the test on edmentum. 100%

2000 pounds =1ton

to convert just take the number of pounds and divide by 2000 (eg: 3000 pounds divided by 2000 will give you 1.5tons)

[2000pounds = 1ton]

1.5x2000 =3000(this is to go from ton to pound

just multiply the tons by 2000

hope this helps

Answer:

18 cups of lemonade

Step-by-step explanation:

so if it cost him $0.15 to make each cup of lemonade and he sold a cup for $0.35 then he sold 18 cups