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sashaice [31]
3 years ago
15

Select 2 of the following

Mathematics
1 answer:
siniylev [52]3 years ago
3 0

Answer:

OPTION C: The ratio is a constant.

OPTION E: The ratio is equal to b.

Step-by-step explanation:

Given: $ f(x) = a.b^x $

The ratio of f(x + 1) and f(x) = $ \frac{f(x + 1)}{f(x)} = \frac{a.b^{x + 1}}{a.b^x} $

Since, $ a^{x + 1} = a^x. a $

$ \implies \frac{f(x + 1)}{f(x)} = \frac{a.b^x.b}{a.b^x} $

Cancelling out $ a.b^x $ we get:

$ \frac{f(x + 1)}{f(x)} = b $

This shows that the ratio is always a constant and that constant is equal to b.

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X/7- y/5=1 solve for y
Usimov [2.4K]

Answer:

y = 5/7 x -5

Step-by-step explanation:

X/7- y/5=1

Multiply each side by 35 to clear the fractions

35(X/7- y/5) =1*35

5x - 7y = 35

Subtract 5x from each side

5x-5x-7y = -5x+35

-7y = -5x+35

Divide each side by -7

-7y/-7 = -5x/-7 +35/-7

y = 5/7 x -5

4 0
3 years ago
Read 2 more answers
10. A triangular piece of fabric has an area of 45 square inches. If the
Grace [21]

Answer:

15

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Using the given information,

45 = 1/2 * L * 6

45 = 3L                                simplify

15 = L                                   divide both sides by 3

5 0
3 years ago
Why do student need to know the basic of geometric figures in geometry<br> ?
butalik [34]
You use it during your life spand
5 0
3 years ago
Let f be an exponential function and g be a logarithmic function.
love history [14]

Good evening ,

______

Answer:

1) (f+g)(1) = e

2) (fg)(1) = 0

3) (3f)(1) = 3e

___________________

Step-by-step explanation:

1) (f+g)(1) = f(1) + g(1) = e¹ + log1 = e + 0 = e.

2) (fg)(1) = f(1) × g(1) = e¹ × log(1) = e¹ × 0 = e × 0 = 0.

3) (3f)(1) = 3×f(1) = 3×e¹ = 3e.

:)

8 0
3 years ago
A firm has the marginal-demand function where D(x)=-1400x÷√25-x² is the number of units sold at x dollars per unit. Find the dem
borishaifa [10]

The equation of the demand function is D(x) = 1400√(25-x²) + 11400

<h3>How to determine the demand function?</h3>

From the question, we have the following parameters that can be used in our computation:

Marginal demand function, D'(x) = -1400x÷√25-x²

Also, we have

D = 17000, when the value of x = 3

To start with, we need to integrate the marginal demand function, D'(x)

So, we have the following representation

D(x) = 1400√(25-x²) + C

Recall that

D = 17000 at x = 3

So, we have

17000 = 1400√(25-3²) + C

Evaluate

17000 = 5600 + C

Solve for C

C = 17000 - 5600

So, we have

C = 11400

Substitute C = 11400 in D(x) = 1400√(25-x²) + C

D(x) = 1400√(25-x²) + 11400

Hence, the function is D(x) = 1400√(25-x²) + 11400

Read more about demand function at

brainly.com/question/24384825

#SPJ1

3 0
1 year ago
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