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harkovskaia [24]
3 years ago
14

If f(x) = 3^+ 10 and g(x) = 2x - 4, find (f - g)(x).

Mathematics
1 answer:
just olya [345]3 years ago
8 0

Answer:

3^x -2x +14

Step-by-step explanation:

I will assume you mean 3^x in the function f(x)

f(x) = 3^x+ 10

g(x) = 2x - 4

(f - g)(x) =  3^x+ 10  - (2x - 4)

       Distribute the minus sign

              =  3^x+ 10  - 2x + 4

              = 3^x -2x +14

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Find a:27=6:11, find a​
trasher [3.6K]

Answer:

a = 14.73

Step-by-step explanation:

This ratio can also be written like this:

\frac{a}{27} = \frac{6}{11}

Then you can cross multiply to get

11a = 6 x 27

11a = 162

Divide both sides by 11

11a / 11 = 162 / 11

a = 14.73

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3 years ago
1. Find the volume of the rectangular prism
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Step-by-step explanation:

The answer of the question number 1 is b

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The change in water vapor in a cloud is modeled by a polynomial function, C(x). C(x) = x^3+ 5x^2+3x+30 Describe how to find the
kari74 [83]

Answer:

Suppose the equation that describes the change in water vapor in a cloud (y) with respect to temperature (x): C(x) = x³ - 4x² - 7x + 10

You find the x-intercepts of the cubic equation by finding the roots. Let y be zero:

x³ - 4x² - 7x + 10 = 0

Now, find possible factors of the constant term in the equation: 10. These could be 1, 2, 5, and 10. Suppose we choose 1. We substitute x=1. If the answer is zero, then x=1 is one of the roots.

(1)³ - 4(1)² - 7(1) + 10 = 0

Hence, x=1 or x-1 = 0 is one of the roots. We use this to manipulate the rest of the terms in the original equation, such that you can factor out (x-1). Substitute -x² - 3x² to -4x³ because they are just equal. Same is true for +3x - 10x for -7x:

x³ -x² - 3x²+3x - 10x + 10 = 0

Factor out like terms such that they have a common factor of (x-1) as much as possible.

x³ -x² = x²(x-1)

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The factored equation is:

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Factor out (x-1):

(x-1)(x²-3x-10) = 0

Now, we have the quadratic equation left to be solved:x²-3x-10

Use the quadratic formula to find the roots:

x = [-b +/- √(b²-4ac)]/2a,

The a, b and c coefficients are based on the general form of the quadratic equation: ax² + bx + c. Hence, a=1, b=-3 and c=-10. Substituting the values:

x = [-(-3) +/- √((-3)²-4(1)(-10))]/2(1)

x = 5, -2

Therefore, the roots of the cubic equations are x = 1, x = 5 and x =- 2. These are the x-intercepts of the equation. At temperatures °C, 5°C and -2°C, there is no change in water vapor in a cloud. The graph is shown in the attached picture

Step-by-step explanation:

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2 years ago
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laila [671]

Answer:

y = 8/7x + 5

Step-by-step explanation:

8x - 7y = -35

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8/7x + 5 = y

8 0
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