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2 years ago

Evaluate the function f(-6) if f(x) = 3x+9

Mathematics

2 answers:

horsena [70]2 years ago

5 0

Answer:

f(-6) = -9

Step-by-step explanation:

here, you substitute -6 for x in the function

f(x) = 3x + 9

f(-6) = 3(-6) + 9

f(-6) = -18 + 9

f(-6) = -9

nirvana33 [79]2 years ago

4 0

Answer:

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Step-by-step explanation:

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Solve the system of equations by elimination. 2x - y + 3z=-1 x + 2y - 4z=-1 y – 2z=0

MrRa [10]

Answer:

x = -1, y = 2 and z = 1

Step-by-step explanation:

The given system of equations are :

2x - y + 3z= -1 ....(1)

x + 2y - 4z = -1 ......(2)

y – 2z = 0 .....(3)

Equation (3) can be written as :

y = 2z

Use y = 2z in equation (2)

x + 2(2z) - 4z = -1

x + 4z - 4z = -1

x = -1

Put the value of x in equation (1) :

-2 -y +3z = -1

-y+3z = 1 ....(4)

Adding equation (3) and (4)

y-2z+(-y+3z)=1

z = 1

Now put z = 1 in equation (4)

-y+3=1

-y = -2

y = 2

Hence, the values of x,y and z are -1, 2 and 1 respectively.

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3 years ago

3/5 ÷ 1 1/4 = (20 points)

Anna11 [10]

3/5 ÷ 1 1/4 = 0.48

0.48 will be your anwer

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3 years ago

Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π

lorasvet [3.4K]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The instantaneous rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the difference rate.

In this question we must find an expression for the instantaneous rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below:

$g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x$

$g(x) = \cos x$

Now we evaluate $g(x)$ for $x = \frac{\pi}{3}$ :

$g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}$

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. $\blacksquare$

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

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2 years ago

Help help thank you

Ad libitum [116K]

Meter is 0.5 and the fraction is I think 1/2

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3 years ago

Find the value 5x+2 x=3

Mashutka [201]

Plug x=3 into the equation:
5(3)+2
And simplify:
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2 years ago

Read 2 more answers