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2 years ago

If f(x) = -3x - 5 and g(x) = 4x - 2, find (f - g)(x).

Mathematics

1 answer:

ratelena [41]2 years ago

3 0

Answer:

A. (f-g)(x) = -7x -3

Step-by-step explanation:

(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)

= -3x -5 -4x +2

= -3x -4x -5 +2

(f -g)(x) = -7x -3

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What is the average rate of change over the interval [0, 4]?

choli [55]

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Given:

Interval, [0, 4]

Required:

Average range of change over [0, 4]

SOLUTION:

Find f(0) and f(4) from the graph:

$f(0) = 0$ (when x = 0, y = 0)

$f(4) = 3$ (when x = 4, y = 3)

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Where,

$a = 0, f(a) = 0$

$b = 4, f(b) = 3$

Plug in the values into the formula for average rate of change.

$= \frac{3 - 0}{4 - 0}$

$= \frac{3}{4}$

Average rate of change $= \frac{3}{4}$

8 0

3 years ago

What are the values of x and y in the matrix equation below?

choli [55]

Answer : value of x and y in the matrix equation is:

x = -3

y = +4, -4

Step-by-step explanation :

The matrix expression is:

$\left[\begin{array}{ccc}x+4\\y^2+1\end{array}\right]+\left[\begin{array}{ccc}-9x\\-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]$

First we have to add left hand side matrix.

$\left[\begin{array}{ccc}(x+4)+(-9x)\\(y^2+1)+(-17)\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]$

Now we have to add left hand side terms.

$\left[\begin{array}{ccc}x+4-9x\\y^2+1-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]$

$\left[\begin{array}{ccc}4-8x\\y^2-16\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]$

Now we have to equating left hand side matrix to right hand matrix, we get:

$\Rightarrow 4-8x=28\text{ and }y^2-16=0\\\\\Rightarrow 8x=4-28\text{ and }y^2=16\\\\\Rightarrow x=-3\text{ and }y=\pm 4$

Therefore, the value of x and y in the matrix equation is -3 and +4, -4 respectively.

5 0

3 years ago

What's an equivalent ratio to 12:10 ? ( explain also too please! :D )

Nikitich [7]

6:5 it's basically just like a fraction that you're reducing.

3 0

2 years ago

Read 2 more answers

Substitution for -3x+y=-9

shtirl [24]

Answer:

y=3x-9

Step-by-step explanation:

4 0

2 years ago

Can You Please Explain How To Do Problem #10? Thank you! :)

alexandr1967 [171]

Answer:

separate and square both the top and bottom

the square of square root three is just 3 and the square of 3 (the bottom of the fraction) is 9

so now you have 3(i^2) /9

you can simplify this by three and then i^2 is -1

you now have -1/3 and thats the final answer

6 0

3 years ago