3 years ago

Solve the system of equations 5x + 3y = -2 3x + 2y = -1

Mathematics

1 answer:

Drupady [299]3 years ago

7 0

Answer:

Step-by-step explanation:

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If : f(x)=x^2, g(x)=x-1. Find (f×g)(x).

kramer

Answer:

$\boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}$

Step by step explanation:

Given that,

$f(x) = {x}^{2}$

$g(x) = x - 1$

Solution:

Solving for (f•g)(x):

$= f(x) \cdot g(x)$

Now substitute the given values.

$= x {}^{2} \cdot(x - 1)$

$= x {}^{2} (x - 1)$

Apply distributive property:

$= (x ^{2} \cdot x) - x {}^{2} \cdot 1$

$\boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}$

Hence,f•g(x) will be $x {}^{3} - x {}^{2}$ .

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2 years ago

)) Extend 914 to a whole number

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Answer:

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Step-by-step explanation:

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2 years ago

In January, Jeff bought three rabbits. By February, the rabbit population

Murrr4er [49]

Answer:

Jeff will have 48 rabbits by May

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3 years ago

The family of functions y = ce^{-2x} + e^{-x} is solution of the equation y' + 2y = e^{-x}. Find the constant c which defines th

Rufina [12.5K]

Answer:

$c = 1190.2$

Step-by-step explanation:

We have the following solution:

$y(x) = ce^{-2x} + e^{-x}$

We want to find the value of x that satisfies the following condition:

y(3) = 3.

This means that when x = 3, y = 3. So

$y(x) = ce^{-2x} + e^{-x}$

$y(3) = ce^{-2*3} + e^{-3}$

$3 = ce^{-6} + e^{-3}$

$3 = ce^{-6} + 0.0498$

$ce^{-6} = 2.9502$

$c = \frac{2.9502}{e^{-6}}$

$c = 1190.2$

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2 years ago

A company's stock was selling at

belka [17]

old: $16

new: $20

percent increase

-> formula: (new-old / old) x 100

(20-16 / 16) x 100

4/16 x 100

0.25 x 100

answer: 25% increase

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3 years ago