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Katen [24]
3 years ago
13

Help! I need help please

Mathematics
2 answers:
fgiga [73]3 years ago
8 0

Answer:

Q=160

Step-by-step explanation:

supplementary meant it adds to 180 degrees

180-30=160

Temka [501]3 years ago
7 0

Q is 150. Supplementary angles must add to equal 180

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Suppose that the revenue function for a certain product is given by R(x) = 17(2x + 1)−1 + 34x − 17 where x is in thousands of un
REY [17]

Answer:

Step-by-step explanation:

Given that:

R(x) = \frac{17}{2x+1} + 34x − 17

As we know that derivative of revenue function is marginal revenue function .

We will use following rules of derivative

=> dR/ dx = \frac{-17*2}{(2x+1)^{2} } + 34

=> R' (x) =   \frac{-34}{(2x+1)^{2} } + 34

=> R '(2000) =  \frac{-34}{(2*2000+1)^{2} } + 34 = 34

The revenue when 2000 units are sold is:

R(2000) = \frac{17}{2*2000+1} + 34*2000 − 17 = $69,783

3 0
3 years ago
kirk has 42 pieces of candy to divide evenly between his three children. if he puts the pieces into three boxes how many pieces
Gekata [30.6K]
14 pieces of candy in the box
8 0
3 years ago
I need help please i did not understand
antoniya [11.8K]

Answer:

Step-by-step explanation:

Add up all the values for the height and divide by 9. do the same for the leaf scars.

8 0
2 years ago
Scientific notation what is <br><br> 0.0000348 in scientific notation
trasher [3.6K]

3.48 x 10^ -5

move the decimal point back to the first number that isn't zero, if the decimal is moved right 5 spaces, it will be 10^ -5 , if a number has a zero, such as 0.000104, it would be 1.04 x 10^ -4.

8 0
3 years ago
Read 2 more answers
If(x) = x + 2 and h(x) = x-1, what is f • h](-3)?
deff fn [24]

Answer/Step-by-step explanation:

Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.

f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not

the same as g ◦ f. (This means that composition is not commutative).

f ◦ g ◦ h is the composition that composes f with g with h.

Since when we combine functions in composition to make a new function, sometimes we

define a function to be the composition of two smaller function. For instance,

h = f ◦ g (1)

h is the function that is made from f composed with g.

For regular functions such as, say:

f(x) = 3x

2 + 2x + 1 (2)

What do we end up doing with this function? All we do is plug in various values of x into

the function because that’s what the function accepts as inputs. So we would have different

outputs for each input:

f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)

f(0) = 3(0)2 + 2(0) + 1 = 1 (4)

f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)

When composing functions we do the same thing but instead of plugging in numbers we are

plugging in whole functions. For example let’s look at the following problems below:

Examples

• Find (f ◦ g)(x) for f and g below.

f(x) = 3x + 4 (6)

g(x) = x

2 +

1

x

(7)

When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

g(x) = x

2 +

1

x

(8)

f(x) = 3x + 4 (9)

f( ) = 3( ) + 4 (10)

f(g(x)) = 3(g(x)) + 4 (11)

f(x

2 +

1

x

) = 3(x

2 +

1

x

) + 4 (12)

f(x

2 +

1

x

) = 3x

2 +

3

x

+ 4 (13)

Thus, (f ◦ g)(x) = f(g(x)) = 3x

2 +

3

x + 4.

Let’s try one more composition but this time with 3 functions. It’ll be exactly the same but

with one extra step.

• Find (f ◦ g ◦ h)(x) given f, g, and h below.

f(x) = 2x (14)

g(x) = x

2 + 2x (15)

h(x) = 2x (16)

(17)

We wish to find f(g(h(x))). We will first find g(h(x)).

h(x) = 2x (18)

g( ) = ( )2 + 2( ) (19)

g(h(x)) = (h(x))2 + 2(h(x)) (20)

g(2x) = (2x)

2 + 2(2x) (21)

g(2x) = 4x

2 + 4x (22)

Thus g(h(x)) = 4x

2 + 4x. We now wish to find f(g(h(x))).

g(h(x)) = 4x

2 + 4x (23)

f( ) = 2( ) (24)

f(g(h(x))) = 2(g(h(x))) (25)

f(4x

2 + 4x) = 2(4x

2 + 4x) (26)

f(4x

2 + 4x) = 8x

2 + 8x (27)

(28)

Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x

2 + 8x.

4 0
2 years ago
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