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34kurt
3 years ago
10

Let f(x) = 2x–8 and g(x) = x + 2. Find f(g(x)) and g(f(x)).

Mathematics
2 answers:
Anna71 [15]3 years ago
8 0

Answer:

g(f(x)) = 2x - 6

f(g(x)) = 2x - 4

Step-by-step explanation:

g(f(x)) = 2x - 8 + 2

g(f(x)) = 2x - 6

f(g(x)) = 2(x + 2) - 8

f(g(x)) = 2x - 4

Serhud [2]3 years ago
8 0

Answer: g ( 2 x − 8 ) = 2 x− 6

Step-by-step explanation: MAKE ME BRAINLIEST!!!!!

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Choose all options that apply. In the US Customary System, which of the following terms is used to measure volume? a) Cup b) Tab
Naddik [55]

Answer:

D) Fluid ounce

Step-by-step explanation:

Fluid ounces are a <em><u>unit used to measure volume</u></em>, or <em>how much space something takes up.</em> This measurement is used for liquid ingredients, like water or milk. When a recipe calls for fluid ounces, go ahead and pull out your measuring cup; it's the most accurate way to measure this.

<h2>I hope this helps, and stay safe!! :)</h2>
7 0
2 years ago
Read 2 more answers
The 70th term of an arithmatic sequence is 121.5 the common difference is 1.5. Find a12. (write a rule to find a12)
Katen [24]

Answer:

a_{12} = 34.5

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a_{70} = 121.5, then

a₁ + (69 × 1.5) = 121.5

a₁ + 103.5 = 121.5 ( subtract 103.5 from both sides )

a₁ = 18

Hence

a_{12} = 18 + (11 × 1.5) = 18 + 16.5 = 34.5

8 0
2 years ago
Read 2 more answers
How do I complete this question on arc length?
tresset_1 [31]

Answer:

v ≈ 8.5 km/h

Step-by-step explanation:

Since the diameter of the wheel is 3 m the radius will be r = 1.5 m.

Use the radius of the water wheel to find it's circumference C:

C=2\pi r                                               [set r = 1.5 m]

⇒ C=2\pi (1.5)

⇒ C=3\pi m

One revolution of the water wheel corresponds to 3\pi meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:

15(3\pi ) = 45\pi m/min

Using this result, the speed of the river in kilometers per hour will be:

v=\frac{45\pi m }{1 min} ×  \frac{1 km}{1000 m} × \frac{60 min}{1 h}

⇒ v=8.48230016469  km/h

⇒ v ≈ 8.5 km/h

5 0
2 years ago
Read 2 more answers
Solve for x. -2(16 - 4x) - 8 = 6(x + 2)
Amanda [17]
So...

-2(16-4x)-8=6(x+2)             Multiply
-32+8x-8=6x+12                 Add like terms
-40+8x=6x+12                    Subtract 6x from both sides
-40+2x=12                          Add 40 to both sides
2x=52                                 Divide 2 from both sides
x=26                                   Substitute to check
-2(16-4(26))-8=6((26)+2)   Add and multiply in parenthesis
-2(-88)-8=6(28)                  Multiply
176-8=168                         Subtract
168=168                          

So x=26

I hope this helps! Have a great day!
6 0
3 years ago
Write an equation of the line in slope-intercept form that passes through (-3,5) and is perpendicular to y = -3x- 1
inna [77]

9514 1404 393

Answer:

  y = 1/3x +6

Step-by-step explanation:

The slope of the given line is the coefficient of x, -3. The slope of the perpendicular line will be the opposite reciprocal of that:

  -1/(-3) = 1/3

The point-slope equation is then ...

  y -k = m(x -h) . . . . . for line of slope m through point (h, k)

Here, we have m = 1/3, (h, k) = (-3, 5), so the point-slope equation is ...

  y -5 = 1/3(x +3)

  y = 1/3x + 1 + 5 . . . . eliminate parentheses, add 5

  y = 1/3x +6 . . . . slope-intercept equation of the line

6 0
3 years ago
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