If f(x) = x/2 - 3 and g(x) = 4x ^ 2 + x - 4 , find (f + g)(x)

Answer:

Jonathan is deciding between two truck rental companies. Company A

charges an initial fee of go for the rental plus $1 per mile driven

Company B charges an initial fee of $10 for the rental plus $1.50 per

mile driven. Let A represent the amount Company A would charge if

Jonathan drives s miles, and let B represent the amount Company B

would charge if Jonathan drives s miles, Graph each function and

determine which company would be cheaper if Jonathan needs to

drive 60 miles with the rented truck,

Answer:

304/9 as fraction

33.7 decimal

I cannot say steps i apologize.

Step-by-step explanation:

Answer:

I will give you the explanation, figure out the answer.

Step-by-step explanation:

For this expression, you need to distribute 27 into the expression inside the parantheses.

Distributing will look like this:

(27 x 2p) + (27 x 4e) + (27 x 10p) + (27 x 20)

Now to get the simplified version of this expression, you just need to multiply and combine like terms!

Answer:

Um.. Im not sure about this one.. you're in college?

Step-by-step explanation:

Answer:

50 children in total

Step-by-step explanation:

question is really asking this:  9 is 18% of what number

9 = .18x

9/.18 = 50

Answer:

9x + 2y

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

7x - 3y + 2x + 5y

Step 2: Simplify

Answer: 37

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Given that:

2 standard six sided dice are rolled :

Die 1 = 1, 2, 3, 4, 5, 6

Die 2 = 1, 2, 3, 4, 5, 6

Outcome = ordered pair of Number on the two dice

Event = different sum of the ordered pair of numbers.

The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies

= 6^2

= 36 different outcomes

Answer:

The solution is any point in the common part of red and blue

The two lines intersect each other at (4 , 7)

Step-by-step explanation:

∵ y > 1/4 x + 6 ⇒ y = 1/4 x + 6

∵ y > 2x - 1 ⇒ y = 2x - 1

∴ 2x - 1 = 1/4 x + 6

∴ 2x - 1/4 x = 6 + 1

∴ 7/4 x = 7 ⇒ x = 7 ÷ 7/4

∴ x = 4

∴ y = 2(4) - 1 = 7

∴ The two lines intersect each other at (4 , 7)

∴ The solution is any point in the common part of red and blue

Answer:

8. Arithmetic Progression

9. [tex]f(9) = 300[/tex]

Step-by-step explanation:

Given

[tex]\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}[/tex]

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

[tex]d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3[/tex]

This gives:

[tex]d = 45 - 55 = 35 - 45 = 25 - 35[/tex]

[tex]d = -10 = -10 = -10[/tex]

[tex]d=-10[/tex]

Because the common difference is equal, then it is an arithmetic progression

Solving (8):

[tex]f(n) = f(1) + f(n-1)[/tex]

To find f(9), we substitute 9 for n

[tex]f(9) = f(1) + f(9-1)[/tex]

[tex]f(9) = f(1) + f(8)[/tex]

We need to solve for f(8); substitute 8 for n

[tex]f(8) = f(1) + f(8 - 1)[/tex]

[tex]f(8) = f(1) + f(7)[/tex]

We need to solve for f(7); substitute 7 for n

[tex]f(7) = f(1) + f(7 - 1)[/tex]

[tex]f(7) = f(1) + f(6)[/tex]

We need to solve for f(6); substitute 6 for n

[tex]f(6) = f(1) + f(6 - 1)[/tex]

[tex]f(6) = f(1) + f(5)[/tex]

We need to solve for f(5); substitute 6 for n

[tex]f(5) = f(1) + f(5 - 1)[/tex]

[tex]f(5) = f(1) + f(4)[/tex]

From the function, f(4) = 25 and f(1) = 55.

So:

[tex]f(5)=55 + 25[/tex]

[tex]f(5)=80[/tex]

[tex]f(6) = f(1) + f(5)[/tex]

[tex]f(6) = 55 + 80[/tex]

[tex]f(6) = 135[/tex]

[tex]f(7) = f(1) + f(6)[/tex]

[tex]f(7) = 55 + 135[/tex]

[tex]f(7) = 190[/tex]

[tex]f(8) = f(1) + f(7)[/tex]

[tex]f(8) = 55 + 190[/tex]

[tex]f(8) = 245[/tex]

[tex]f(9) = f(1) + f(8)[/tex]

[tex]f(9) = 55 + 245[/tex]

[tex]f(9) = 300[/tex]

Answer:

The answer would be A) 25

Step-by-step explanation:

Subtract 420 by 45 which is 375. The you just Divide 375 by 15 which is 25

Hope this helps! :)

Tell me if i am right or wrong!

Answer:

25

Step-by-step explanation:

because 420-45= 375÷15=25

Answer:

Let's solve for a.

(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d

Step 1: Add -12a to both sides.

adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a

adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x

Step 2: Add -bdx to both sides.

adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx

adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x

Step 3: Add -bx^2 to both sides.

adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2

adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x

Step 4: Add -3d to both sides.

adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d

adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x

Step 5: Add -3x to both sides.

adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x

adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x

Step 6: Factor out variable a.

a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x

Step 7: Divide both sides by dx^2+x^3-12.

a(dx2+x3−12)

dx2+x3−12

=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

a=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

Answer:

a=

−bdx−bx2+x3+6x2+2b−4d+8x/

dx2+x3−12

Step-by-step explanation:

Answer:

Z - statistic = 0.25

P-value

P(Z=0.25) =  0.802587

The result is not significant at p<0.01

Step-by-step explanation:

Step(i):-

Given the random sample size 'n'' = 400

A random sample of 400 items where 82 were found to be​ defective

Sample proportion

                     [tex]p = \frac{x}{n} = \frac{82}{400} = 0.205[/tex]

Given Population proportion

                    P = 0.20

Null Hypothesis : P = 0.20

Alternative Hypothesis : P≠ 0.20

Step(ii):-

Test statistic

          [tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]

         [tex]Z = \frac{0.205-0.20}{\sqrt{\frac{0.20X0.80}{400} } }= \frac{0.005}{0.02} =0.25[/tex]

Z - statistic = 0.25

Level of significance =0.01

P-value

P(Z=0.25) =  0.802587

Conclusion:-

The result is not significant at p<0.01

Answer:

Step-by-step explanation:

a) [tex]5y+ab[/tex]

b) [tex]f^{3} -3\\[/tex]

c) [tex]6kq[/tex]

d) [tex]\frac{3xy}{2w} \\\\[/tex]

e) [tex]3x-4\sqrt{z} \\[/tex]

f) [tex]\frac{2p}{5q} \\\\[/tex]

[tex]a) 5y+ab5y+ab

b) \begin{gathered}f^{3} -3\\\end{gathered}

f

3

−3

c) 6kq6kq

d) \begin{gathered}\frac{3xy}{2w} \\\\\end{gathered}

2w

3xy

e) \begin{gathered}3x-4\sqrt{z} \\\end{gathered}

3x−4

z

f) \begin{gathered}\frac{2p}{5q} \\\\\end{gathered}

5q

2p

[/tex]

Answer:

24.09 am I smart or what lol

Step-by-step explanation:

22 +2.09

Answer:

Angle A = 50°

Step-by-step explanation:

(2x - 10) + (x + 30) + 70 = 180

3x = 180 + 10 - 30 - 70

3x = 90

x = 90/3

x = 30

A = 2x -10

A = (2 * 30) - 10

A = 60 - 10

A = 50

Answer:

First you have to take a sleep

Answer:

1.35

Step-by-step explanation:

13.50 divided by 10 = 1.35

Answer:

X  ≈ 228913 $

Step-by-step explanation:

The standard score z is:

z  =  ( X- μ ) /σ        (1)

Now  z (score ) for 2,74 % is:

2,74 %  is  0,0274  and from z table  z (score) = - 1,92

By subtitution in equation 1

-1,92  =  ( X -  316532 ) / 45635

- 87619,20 + 316532  = X

X  ≈ 228913 $

Answer:

the number is 11

Step-by-step explanation:

3x-16=17

3x=33

x=11

Answer:

27.5=2n OR 2n=27.5

Step-by-step explanation:

plug it in :)

Answer:

(15 * 10) / 30 = x

Step-by-step explanation:

Since each tile is 1 foot on each side this means that each tile will cover 1 square foot (1ft * 1ft = 1sq. ft.). We would now need to find the square footage of the bathroom by multiplying the bathroom length by its width. Then we can divide that square footage by 30 tiles per hour to find out how long it will take to cover the floor with tiles.

(15 * 10) / 30 = x

150 / 30 = x

5 hours = x

Finally, we can see that at a pace of 30 tiles per hour, Wilma will be able to finish tiling her bathroom in 5 hours.

Answer:

150

Step-by-step explanation:

Steps below in pic

Answer:

49 tickets

Step-by-step explanation:

THis is pretty straight forward

So we have the ratio 4:7

We know there were 88 tickets in total but we don’t know the exact amount of adult and kids

So we can Add up the ratio

4+7=11

Now we can divide 88 by 11

you’ll get 7

So by doing this we know there are 7 groups of the ratio for child to adults 4:7

So we just multiply the 7 to each

4*7

7*7

you’ll get 28:49

Now we know there are 28 kid tickets and 49 adult tickets

We know this is correct becuase if you add up the ratio, it’ll be 88

Which is the same as the amount fo people at the hockey game

Answer:

C

Step-by-step explanation:

when x is negitive, y has an asitope of 0 so not a

when x is negitive, y has an asitope of 0 so not b

when x is positive, y does keep going down so c

when x is positive, y does keep going down and doesn't seem to be approching 0 so not d

Given,

CP of cosmetics = Rs 360 per dozen

SP of a pair of cosmetics = Rs 80

We need to find the profit percentage.

Solution,

We know that,

1 dozen = 12 items

CP of 1 cosmetic = 360/12 = Rs 30

SP of 1 cosmetic = 80/2 = Rs 40

Profit = SP-CP

= Rs 40 - Rs 30

= Rs 10

Profit percentage is given by :

[tex]\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%[/tex]

So, the profit percentage is 33.34%.