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3 years ago

3 less than a number h is -12

1 answer:

7 0

H-3=-12 is the equation.
Then add 3 on both sides to solve for h.

h-3=-12
+3 +3
————-
h=-9

h-3=-12 is the equation and h=-9

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Write the verbal phrase below as an algebraic expression.

ra1l [238]

Answer:

9 x D

Step-by-step explanation:

D being the number of doughnuts produced.

8 0

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

4 0

2 years ago

Find the area of the figure. Round to the nearest tenth

Reika [66]

Answer:

Find the area of each triangle and then add it up. As you are aware, to find the area of a triangle the equation is B times Height divided by 2. And to make it easier do the top left triangle and the top right triangle, add them together and then divide that by 2.

Step-by-step explanation:

3 time 5 equals 15 divided by 2 equals 7.5

5 times 8 equals 40 divided by 2 equals 20

7.5 plus 20 equals 27.5

27.5 times 2 equals 55

therefor your answer should be 55m

3 0

3 years ago

Solve the following system of equations graphically. y=3x+4 y=-2x-5

ExtremeBDS [4]

Answer:

(x, y) = (-1.8, -1.4)

Step-by-step explanation:

3 0

3 years ago

Arleen has a gift card for a local lawn and garden store. She uses the gift card to rent a tiller for 3 days. It costs $48 per d

MrRa [10]

Given :

Arleen has a gift card for a local lawn and garden store. She uses the gift card to . It costs $48 per day to rent the tiller. She also buys a rake for $5.

To Find :

The value on her gift card decreased by how many dollars.

Solution :

Decrease in dollar is given by :

$D =\text{ rent a tiller for 3 days+ price of rake}\\\\D= \$( 48\times 3 + 5)\\\\D = \$149$

Therefore, the value on her gift card decreased by 149 dollars.

Hence, this is the required solution.

5 0

3 years ago