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Katen [24]
3 years ago
5

PLEASE 25 POINTSSSSSSSSSS NEEDED IN THE NEXT 5 MINUTES I WILL MARK BRANIEST

Mathematics
1 answer:
skad [1K]3 years ago
7 0

Answer:

E

Step-by-step explanation:

The equation of proportion is

y = kx ← k is the constant of proportionality and

k = \frac{y}{x}

Substitute the values from the table into the equation for k, that is

k = \frac{2}{3} = \frac{4}{6} = \frac{6}{9} = \frac{2}{3}

You might be interested in
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
3 years ago
-5 5/6 + (-8 4/5)= what show the work
djverab [1.8K]

Answer:

-13 2/3

Step-by-step explanation:

-5 5/6               5x6= 30 4x5= 20

+                                20/30= 2/3

-8 4/5

-----------      -5 + -8 = -13

-13  2/3

hope this helps

6 0
3 years ago
Find the slope of the line.
Anika [276]

The equation for working out the slope of a linear line is: \frac{y_2 - y_1}{x_2 - x_1}, where x and y are the coordinate pairs.

So just pick two of the purple dots on the graph and fill in the equation.

I'll pick the dot that's (-4, 1) and (4, -7).

Now I just do \frac{7 - 1}{4 - -4}, which is just \frac{3}{4} when simplified.

6 0
3 years ago
PLEASE, PLEASE, PLEASE I NEED HELP IT TEN POINT AND WILL BE MARK AS BRAINLIST! ttttttthhhhhhhaaaaaannnnnnkkkk
kow [346]

Answer: B.1/6 quarts

Step-by-step explanation:

3/4 Minutes = 1/8 Juice

4/3 * 3/4 Minutes * 4/3 * 1/8 Juice

1 Minutes = 1/6 quarts

Making B your answer

6 0
3 years ago
An entrepreneur buys some microscopes. Each one cost $200 and resells online for $526. What is the mark-up percentage?
Dafna11 [192]

Answer:

326

Step-by-step explanation:

Given: Microscopes. Each one costs $200 and resells online for $526.

To find: What is the mark-up percentage?

Solution: Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage.

526 - 200 = 326

Net Profit Margin = 61.98%

Net Profit = $326.00

Profit Percentage = 163.00%

Find more here: brainly.com/question/23345732

6 0
3 years ago
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