If f(x) = 3x and g(x) = x^2, then what is f(g(x))?

Answer:

Step-by-step explanation:

x    - an integer

then: 2x is an even number and 2x+1 is an odd number

consecutive odd numbers increase by 2  (even numbers too)

so the next odd number (the middle number) is:

2x+1+2 = 2x+3

and the third (the largest) consecutive is:

2x+3+2 = 2x+5

the sum of the smallest and the middle numbers is:

2x + 1 + 2x + 3

3 times the largest number is:  

3(2x + 5)  

the sum of the smallest number and middle number is 27 less than 3 times the largest number, so:

2x + 1 + 2x + 3 = 3(2x + 5) - 27

4x + 4 = 6x + 15 - 27

    -6x       -6x

-2x + 4 = -12

    -4       -4

 -2x  = -16

 ÷(-2)    ÷(-2)

   x = 8

2x+1 = 2•8+1 = 17

2x+3 = 2•8+3 = 19

2x+5 = 2•8+5 = 21

Check:

2x+1+2x+3 = 16+1+16+3 = 36

36+27 = 63

63:3 = 21 = 2x+5

Answer:

y = - 9x + 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 9x - 2 ← is in slope- intercept form

with slope m = - 9

Parallel lines have equal slopes, thus

y = - 9x + c ← is the partial equation

To find c substitute (2, - 3) into the partial equation

- 3 = - 18 + c ⇒ c = - 3 + 18 = 15

y = - 9x + 15 ← equation of parallel line

Answer:

19 cents

Step-by-step explanation:

divide 20 by 6

Answer:

3.333333333333 and on

Step-by-step explanation:

When you want to figure this problem out you need to divide the money she spent with the markers so 20/6 and then it would divide to the lowest number possible and then you would get your answer.

Can I be brainliest???

Answer:

-4

Step-by-step explanation:

We have the coordinates (6, 3) and (8, 4), allowing us to calculate the slope (or gradient). To do this, you divide the change in y by the change in x, which is 1/2 which is a half.

The form of a linear equation is y = mx + c, where m is the gradient and c is the y-intercept.

We have the gradient, so we can put it in the equation:

y = x/2 + c

We can now substitute in a pair of our coordinates and rearrange to find the y-intercept.

3 = 6/2 + c

3 = 3 + c

c = 0

Therefore the equation for our line is y = x/2.

We can now put in the y coordinate we were given to work out the corresponding x coordinate:

-2 = x/2

x = -4

Therefore n is -4.

Answer:

a) m= (3w+y)/-3

Answer:

  7 yd

Step-by-step explanation:

The sum of horizontal measures is the same across the top and bottom:

  15 yd = 8 yd + ?

  7 yd = ? . . . . . subtract 8 yd from both sides

The missing side length is 7 yd.

Answer:

3(176)=$52,950

5(17650)=$35,300

5(17650)=$88,250

Step-by-step explanation:

x=17,650

do you need me to explain it

Answer:

Area = 14276

Step-by-step explanation:

Length = 2w-6

Width =w

perimeter = 2w+ 2l =504

2w+2(2w-6)=504

2w+4w-12=504

6w=516

w=86

L=2w-6

L=2(86)-6

L = 172-6

L = 166

Area = L*W

area=86*166

Area = 14276

Answer:

50000 + 4000 + 300

Step-by-step explanation:

you don't need to add the extra zeros . you can if you want .

Answer:

x = -13

Step-by-step explanation:

3(x+1) = 2(x-5)

3x + 3 = 2x - 10

3x - 2x = -10 - 3

x = -13

Answer:

x = -13

Step-by-step explanation:

To solve for x, we will have to get the equation in a form with x by itself on one side and a value on the right side.

3(x + 1) = 2(x - 5)

Distribute the 3 on the left side and the 5 on the right side.

3x + 3 = 2x - 10

Subtract 3 from both sides.

3x = 2x - 13

Subtract 2x from both sides.

x = -13

And now we have the answer of x = -13.

I hope you find my answer helpful.

Answer: Choice D.  P = i/rt

This is the same as saying P = i/(rt). The parenthesis are preferred in my opinion to indicate we have rt in the denominator and not just r.

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

Explanation:

In the original equation, prt is the same as p*r*t. So we multiply p, r and t to get prt.

This can be thought of as p*(rt). To isolate p, we undo the multiplication done to the variable p. We will divide both sides by rt to get

i = prt

i = p*(rt)

i/(rt) = p*(rt)/(rt) ... dividing both sides by rt

i/(rt) = p

p = i/(rt)

Answer:

its b

Step-by-step explanation:

because each pair is inversed

Answer:the answer is D. I, II, and III

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

A) 6 because 12 divided by 2 is 6

B) 9 because 45 divided by 5 is 9

C) 23 because 207 divided by 9 is 23

Answer:

His original farm was 333 1/3 acres

He has 66 2/3 acres of his land left

Step-by-step explanation:

Lex

His total farmland = x

1/2 of x = Mr frost

100 acres = Mr slate

Remaining = 1/5x

His total farmland = Mr Frost + Mr slate + remaining farmland

x = 1/2x + 100 + 1/5x

x = 5x+2x/10 + 100

x = 7/10x + 100

x - 7/10x = 100

10x-7x/10 =100

3/10x = 100

Divide both sides by 3/10

x = 100 ÷ 3/10

= 100 × 10/3

= 1,000/3

= 333 1/3 acres

His original farm was 333 1/3 acres

He has 1/5 of his original farm

1/5 × 1000/3

= 1,000 / 15

= 66 10/15

= 66 2/3 acres

He has 66 2/3 acres of his land left

Answer:

x = 3

Step-by-step explanation:

We can write the equation as 16 + x = 19

To solve we can work backwards, I know the opposite of adding is subracting... so 19 - 16 = 3 which means x is equal to 3.

Hope that helps and have a great day!

Hey there!

[tex]16+x=19[/tex]

There is an easy way to solve this question. First, subtract 19 - 16.

[tex]19-16=3[/tex]

Now let's try putting 3 in x to see if it makes sense.

[tex]16+x=19\\16+3=19(ANSWER)[/tex]

It equaled 19. So this is your answer.

Hope this helps!

[tex]-TestedHyperr[/tex]

Step-by-step explanation:

6а – 2а = -48

4a=-48

a=-12

Answer:

[tex] \huge{ \fbox{ \sf{a = - 12}}}[/tex]

Step-by-step explanation:

[tex] \underline{ \mathfrak{Let's \: solve}}: [/tex]

[tex] \bigstar{ \sf \: \: 6a - 2a = - 48}[/tex]

[tex] \text{Step \: 1 \: } : \sf{Collect \: like \: terms}[/tex]

[tex]\sf{ Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] \mapsto{ \sf{4a = - 48}}[/tex]

[tex] \text{Step \: 2 \:} : \sf{Divide \: both \: sides \: by \: 4}[/tex]

[tex] \mapsto{ \sf{ \: \frac{4a}{4} = \frac{ - 48}{4} }}[/tex]

[tex] \text{Step \: 3 \: }: \sf{ Calculate}[/tex]

[tex] \underline{ \sf{Remember!}} : \sf{Dividing \: a \: negative \: integer \: by \: a \: positive \: integer \: gives \: a \: \: negative \: integer.}[/tex]

[tex] \mapsto{ \sf{ \frac{ \cancel{4} \: a}{ \cancel{4} } = \frac{ \cancel{ - 48} ^{ \: \: - 12} }{ \cancel{4} ^{ \: \: 1} } }}[/tex]

[tex] \mapsto{ \sf{a = - 12}}[/tex]

The value of a is -12

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

Answer:

The coordinates of the point one half the distance is (6,1)

Step-by-step explanation:

Here we want to calculate the coordinates one half of the line segment.

This in another way simply means the coordinates of the midpoint of that segment;

Mathematically;

we proceed with this using the midpoint formula

(x,y) = (x1 + x2)/2, (y1 + y2)/2

From the question (x1,y1) = (5,-6) while (x2,y2) = (7,8)

let’s say

(x,y) = (5 + 7)/2 , (-6 + 8)/2

(x,y) = 12/2, 2/2

(x,y) = (6,1)

Answer:

-64

Step-by-step explanation:512 divided by 2 can be calculated as follows. 512/2 math problems division = 256. Therefore 256 to 2 decimal places= 256. 512/2

The quotient of the equation when A = 512 / -8 = -64

Given data ,

Let the quotient of the expression be represented as A

Now , the value of A is

Let the first number be represented as p

Now , the value of p = 512

Let the second number be represented as q

Now , the value of q = -8

where A = p/q

On simplifying the equation , we get

A = 512 / ( - 8 )

A = -512 / 8

A = -64

Therefore , the quotient of the expression is A = -64

Hence , the expression is A = -64

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

Answer:

[tex]b = 90w[/tex]

Step-by-step explanation:

Required

Determine the relationship

Represent the workers with w and bricks with b

First, we need to determine the constant of proportionality using:

[tex]b = kw[/tex]

Solve for k

[tex]k = \frac{b}{w}[/tex]

When w = 1; b = 90:

[tex]k = \frac{90}{1}[/tex]

[tex]k = 90[/tex]

When w = 2; k =180

[tex]k = \frac{180}{2}[/tex]

[tex]k = 90[/tex]

Notice that [tex]k = 90[/tex] in both cases;

Substitute 90 for k in [tex]b = kw[/tex]

[tex]b = 90w[/tex]

Hence; the relationship is [tex]b = 90w[/tex]

Answer:

potato pototo boom

Step-by-step explanation:

Answer:

0.888

Step-by-step explanation:

Subtract the trucks weight by the max weight of the bridge

Answer:

ok so anything raised to the power 0 is equal to 1 so we'll take 9x^0 =1 and then let's solve

Step-by-step explanation:

3x^2(9x)^0

3x^2(1)

=3x^2

Answer:

[tex]m=-7[/tex]

Step-by-step explanation:

[tex]6m-6=9m+15[/tex]

Add 6 to both sides:

[tex]6m-6+6=9m+15+6[/tex]

[tex]6m=9m+21[/tex]

Subtract 9m from both sides:

[tex]6m-9m=9m+21-9m[/tex]

[tex]-3m=21[/tex]

Divide both sides by -3:

[tex]\frac{-3m}{-3}=\frac{21}{-3}[/tex]

[tex]m=-7[/tex]

Answer:

m = -7

Step-by-step explanation:

I hope this helps!

Answer:

The answer is 8.61

Step-by-step explanation:

Try it and see, pls now mark me brainliest

Answer:

Step-by-step explanation:

1. ∠1 and ∠2 are a linear pair                          1. Given

2. ∠1 and ∠2 are supplementary                      2. Linear Pair Postulate

3. m∠1 + m∠2 = 180°                                    3. Definition of Supplementary Angles

4. ∠1 and ∠3 are vertical angles                      4. Given

5. ∠1 ≅ ∠3                                                     5. Vertical angles are congruent.

6. m∠1 = m∠3                                               6. Congruent angles have equal measure.

7. m∠3 + m∠2 = 180º                                    7. Substitution into step 3.

8. ∴∠2 and ∠3 are supplementary                    8. Definition of Supplementary Angles

Supplementary angles are two or more angles that add up to [tex]180^{o}[/tex]. Thus < 1 and < 3 are supplementary due to the supplementary angles addition theorem.

When two or more angles add up to form [tex]180^{o}[/tex], then they are supplementary. So that applying the required angles postulates or theorems, the following reasons can be deduced:        

 Statements                                       Reasons

1. ∠1 and ∠2 are a linear pair             Given  

2. ∠1 and ∠2 are supplementary      Linear Pair Postulate  

3. m∠1 + m∠2 = 180°                          Definition of Supplementary Angles  

4. ∠2 = ∠4                                          Given  

5. ∠3 = ∠4                                          Vertical opposite angle Postulate  

6. ∠2 = ∠3                                          Corresponding angle theorem  

7. m∠2 = m∠3                                    Corresponding angles are congruent  

8. m∠1 + m∠3 = [tex]180^{o}[/tex]                          Supplementary angle Postulate

9.  <1 and <3 are Supplementary     Supplementary angles addition theorem

Therefore <1 and <3 are supplementary angles because they add up to [tex]180^{o}[/tex].

Visit: https://brainly.com/question/19670823

Answer:

He had 7.15 dollars left over

Step-by-step explanation:

12 x 5.3 = 63.6

15 x 1.95 = 29.25

63.6 + 29.25 = 92.85

100 - 92.85 = 7.15

hope this helps you :)

pls mark brainlest ;)

The money left with Lupe after her purchase is $7.15.

Given,

Lupe had $100 to buy party supplies for her little sister's birthday.

She bought 12 bags of party favors and 15 party hats.

Each bag of party favors costs $5.30.

Each party hat cost $1.95.

We need to find how much money Lupe has left after her purchases.

We will subtract the amount spent from the total amount given.

The number of spending may depend on the number of items bought and the cost of each item.

If one item cost = $a

And number of items bought = 2

The total amount spent = 2 x $a = $2a

Find the amount Lupe has.

= $100

Find the cost of one party bag.

= $5.30

Find the cost of one party hat.

= $1.95

Find the number of the party bags.

= 12

Find the number of the party hats.

= 15

Find the cost of 12 party bags.

= 12 x $5.30

= $63.6

Find the cost of 15 party hats.

= 15 x $1.95

= $29.25

Find the money left.

= $100 - ($63.6 + $29.25)

= $100 - $92.85

= $7.15

Thus the money left with Lupe after her purchase is $7.15.

Learn more about finding the cost of each item from the total amount spend given here:

https://brainly.com/question/14080404

#SPJ2

Answer: A and B

Step-by-step explanation: They both give 2 points and since a is cords it has to have a x/y axis but C just has two number rows

Answer:2.125

Step-by-step explanation: :)

Answer:

the last answer

Step-by-step explanation:

Answer:

10^11

Step-by-step explanation:

the exponent tells you how many times to be multiply by itself to equal the number you wish to write for example 10X10= 10^2