for f(x)=3x+1 and g(x)=x²-6, find (fog)(4).

Answer:

1

Step-by-step explanation:

[tex](3^{n-1})\cdot(3^{1-n})\\\\=3^{n-1+1-n}\\\\\longrightarrow n-1+1-n=(n-n)+(-1+1)=0+0=0\\\\=3^{0}\\\\=1[/tex]

Answer:

True! 3 bags contain 150 pounds of dog food.

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

5px3=15p

5px-9=-45p

30p

please mark as brainlest.

5p(3-9)

5p(-6)

-30p

Thas your answer big bro

Answer:

1X10^6

or

1.04x10^6

Step-by-step explanation:

You start by multiplying 5.2x10^4 by 20 because there are 20 petri dishes with this amount growing, and you get 1,040,000. Now we need to convert it to scientific notation. We know that 1,000,000 is 10^6, so we would move the decimal to the left 6 places and get 1.04x10^6. This is in scientific notation, but we need to keep in mind significant figures (sig figs), so your final answer would be 1x10^6, if that is not what your instructor is looking for, try 1.04x10^6.

Considering the perimeter of the rectangular table, it is found that 36 ballons are needed.

The perimeter of a rectangle of length l and width w is given by:

P = 2(l + w).

In this problem, the dimensions of the table are l = 8 ft and w = 4 ft, hence the perimeter is of:

P = 2(l + w) = 2 x 12 = 24 ft.

Ballons will be attached 8 inches = 2/3 feet along the perimeter, hence the number of ballons needed is given by:

[tex]n = \frac{24}{\frac{2}{3}} = 36[/tex]

More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198

The correct answer is A.

Hope that helps you!!

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1 times any number equals the other number

1*5=5

because there are 5 groups of 1

[tex]\lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \left \{ {{y=2} \atop {x=2}} \right. \leq \\ x^{2} \sqrt{x} \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \sqrt[n]{x} \neq \lim_{n \to \infty} a_n[/tex]

Tough you can't solve it!?

Answer:

p = 6, q = - 1

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , [tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Given

xy = 32 , tat is

[tex]2^{p}[/tex] × [tex]2^{q}[/tex] = [tex]2^{5}[/tex]

Since the bases on both sides are equal, equate the exponents

p + q = 5 → (1)

Also

2xy² = 32 ( divide both sides by 2 )

xy² = 16 , that is

[tex]2^{p}[/tex] × [tex](2^{q}) ^{2}[/tex] = 16

[tex]2^{p}[/tex] × [tex]2^{2q}[/tex] = [tex]2^{4}[/tex] , then p + 2q = 4 → (2)

Thus

p + q = 5 → (1)

p + 2q = 4 → (2)

Subtract (1) from (2) term by term

q = - 1

Substitute q = - 1 into (1) for corresponding value of p

p - 1 = 5 ( add 1 to both sides )

p = 6

Answer:

y = 1/4x + 17/4

Step-by-step explanation:

first lets umm find the slope

use points that you can um clearly see ?

(4, 6) and (8, 7)

so use the equation y2 - y1/ x2 - x1

soooo

7 - 6/ 8 - 4

1 / 4

so it looks like:

y = 1/4x + b

so far

now we have to find the y-intercept with a point we did not use yet

but i have a little trouble so ill try my best to estimate a point

(2, 5)

we substitue

5 = 1/4(3) + b

5 = 3/4 + b

b = 5 - 3/4

b = 17/4

i want to check but its hard looking for exact points. i think this is the answer hope this helps!

f(x) = -2x and g(x) = 4x - 8, find h(x) = f(x) + g(x).

Replace f(x) and g(x) with their given values:

h(x) = -2x + 4x -8

Combine like terms:

h(x) = 2x -8

Answer:

$2.40 per pound

Step-by-step explanation:

Take the cost and divide by the pounds

$10.20/ 4.25 pounds

$2.40 per pound

Answer: The answer is 2.4

To find out the cost per pound, you just have to divide. For example, in this problem, you would divide 10.20 by 4.25 to see how much money it is for one pound of fish

Answer:

Step-by-step explanation:

y = x² - 8

put x= 9   you have  y =  (9)² - 8 =81-8 = 73

Answer:

∠ PTR = 140°

Step-by-step explanation:

∠ PTQ and ∠ RTS are vertical and congruent, thus

2x + 16 = x + 28 ( subtract x from both sides )

x + 16 = 28 ( subtract 16 from both sides

x = 12

Thus ∠PTQ = x + 28 = 12 + 28 = 40°

∠ PTQ and ∠ PTR are adjacent and supplementary, thus

∠ PTR = 180° - 40° = 140°

Answer:

I hope this helps!! Have an Amazing Day!! Let me know if it is wrong.

Answer:

4.58

Step-by-step explanation:

$29.95(15%) = 4.4925+8.75% = 4.4925+0.0875 = 4.58

Answer:

Time varies, some people are awake

????????

Step-by-step explanation:

Answer:

$0.45 or 45 cents

Step-by-step explanation:

If i'm not mistaken.

in one pound, there are 16 ounces. Therefor, just divide 7.20 by 16 and you get 0.45. or 45 cents.

Hope this helps, brainliest is appreciated! :)
Have a great day! cx

~Mitsuna

Answer:

Slope of l:    

0.5

Slope of m:  

✔-0.75

Step-by-step explanation:

Line l:

y - 4 = 0.5(x - 1)

Line m:

y - 5 = -0.75(x - 43)

last part is Line l:

y = 0.5x + 3.5

Line m:

y = -0.75x + 37.25

Answer:

(Did it on edge)

Step-by-step explanation:

Answer:

4.5^7

Step-by-step explanation:

9514 1404 393

Answer:

  5

Step-by-step explanation:

Put n=5 in the formula and do the arithmetic.

  [tex]d(5)=\dfrac{5}{16}2^{5-1}=\dfrac{5}{16}\cdot2^4=\dfrac{5\cdot16}{16}\\\\\boxed{d(5)=5}[/tex]

_____

The first few terms are ...

  5/16, 5/8, 5/4, 5/2, 5, 10, 20, ...

Answer:

[tex]\frac{29,x\leq 250}{29+0.35(x-250)x\geq 250}[/tex]

Step-by-step explanation:

Let x represent the total time spent calling and f(x) represent the charges.

Since Tracy is charged $29 for 250 free minutes, hence:

For x ≤ 250, f(x) = $29

Tracy is charged an extra $0.35 per minute for calls over 250 minutes, hence:

For x ≥ 250, f(x) = 29 + 0.35(x - 250)

Therefore this can be represented by the piecewise function:

f(x)=  [tex]\frac{29,x\leq 250}{29+0.35(x-250)x\geq 250}[/tex]

Answer:

94 when you add up all of the sides.

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 4 rectangles and 2 triangles on the surface of this solid.

Area = 2 * 5*5 + 5*6 + 2 * 1/2 * 6*4

= 50 + 30 + 24= 104 yd^2.

Answer:

1e-16

Step-by-step explanation:

(10^4)/(10^19) =

(10*10*10*10)/(10^19)=

(1,000)/(10^19) =

1,000/(10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10)=

1,000/(10,000,000,000,000,000,000) =

1,000/10,000,000,000,000,000,000 =

1e-16

Answer:

x=5 I think I'm not sure though please correct me if I'm wrong

Step-by-step explanation:

Hope it helps :)

Brainliest pls?

Have a good day/night

Answer:

x=5

Step-by-step explanation:

Answer:

4. C

5. I think D

6. A

7. B

Step-by-step explanation:

I hope this is correct and it helped

Answer:

x = - 5

Step-by-step explanation:

Remember that f(x) is the same value as y. So if f(x) = 1 then y = 1

There is only 1 point that has a y value of 1 and it is on the far left. The value you want is - 5

The answer is x = - 5 when f(x) = 1