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3 years ago

Modeling Real-World Problems with Composite Functions

Mathematics

1 answer:

taurus [48]3 years ago

7 0

Answer:

The third option: (f°g)(x)=1.07(0.65x)=06955x

Step-by-step explanation:

The reason I chose this is because 0.65x is the discount price. That's because 35% off is the same as 1.00-0.35 which equals 0.65. After that you would multiply that discount price by 1.07 because you want the 7% sales tax added on to the discount price. Therefore, I would choose the third option as my answer.

You might be interested in

How do you solve 6) n2+7n+15=5 by factoring?

charle [14.2K]

First, you need to set the equation equal to zero:

n^2 + 7n + 10 = 0

Now we factor. We need to find two numbers that add up to 7 and multiply to 10.

2 + 5 = 7
2 * 5 = 10

Now, we just need to write this as a polynomial:

(n + 2) (n + 5)
is our answer.

Hope this helps!

8 0

3 years ago

HELP

Aleks [24]

Answer:

c) 6

Step-by-step explanation:

This is a straight-forward application of the Law of Cosines:

... a² = b² + c² -2bc·cos(A)

... a² = 8² +11² -2·8·11·cos(32.2°) ≈ 64 +121 -176·0.8462

... a² ≈ 36.07000

... a ≈ 6.00583

The best choice is c) 6.

3 0

3 years ago

Work out the size of angle ABC and give a reason for your answer

Mariulka [41]

Answer:

there is no picture so it is impossible to answer

Step-by-step explanation:

3 0

2 years ago

Please help me if u don’t I will get a bad grade‼️

m_a_m_a [10]

Given:

The equation is

$\dfrac{1}{3}x=\dfrac{1}{5}$

To find:

The coefficient and reciprocal.

Solution:

We have,

$\dfrac{1}{3}x=\dfrac{1}{5}$

Here, $\dfrac{1}{3}$ is multiplied with x.

So, the coefficient of x is $\dfrac{1}{3}$ .

To find the reciprocal, we need to interchange numerator and denominator of a fraction.

So, the reciprocal of $\dfrac{1}{3}$ is $\dfrac{3}{1}=3$

Therefore, the reciprocal is 3.

4 0

3 years ago

Can someone help me find this

PSYCHO15rus [73]

Step-by-step explanation:

In triangle,

 XYZ PYZ

XZ = PZ = 12cm

XY = PY = 5cm

YZ = YZ (Common side)

Hence,

As three sides of the two triangles are equal so,

Triangle XYZ is congruent to Triangle PYZ by SAS congruence condition 

7 0

2 years ago