All categories

3 years ago

Math Exam answer!! K-12 Determine if each function is linear or nonlinear

Mathematics

1 answer:

Furkat [3]3 years ago

4 0

Answer:

The screenshot shows the correct answers; 5x + 5y = 25 is linear.

For a equation to be linear:

The equation should not have square root, cube root, etc.
The value of x is not greater than one. X should not have an exponent.
X is not in a denominator of a fraction.
"xy" should not be in the equation.

You might be interested in

What's the answer please

WARRIOR [948]

B is the correct answer

5 0

3 years ago

Read 2 more answers

Find derivative problem<br> Find B’(6)

dalvyx [7]

Answer:

$B^\prime(6) \approx -28.17$

Step-by-step explanation:

We have:

$\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)$

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

$\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]$

We can move the constant outside:

$\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]$

Now, we will utilize the product rule. The product rule is:

$(uv)^\prime=u^\prime v+u v^\prime$

We will let:

$\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t$

Then:

$\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1$

(The derivative of u was determined using the chain rule.)

Then it follows that:

$\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}$

Therefore:

$\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]$

By simplification:

$\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17$

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

5 0

3 years ago

Vincent borrowed $500 from Mitchell for six months. How much interest will Mitchell earn if he charges Vincent a simple interest

tresset_1 [31]

Principal P = $500, Rate = 3 % = 3/100 = 0.03 would assume per year,
Time t = 6 months = (6/12) year = 0.5 year.

Simple Interest, I = P*r*t

= 500*0.03*0.5 = 7.5

And so therefore your answer is 7.5

4 0

3 years ago

True or false: It is possible to spend your limit on a credit card.

LenaWriter [7]

It is posable to spend ur limit on ur credit card

4 0

3 years ago

Read 2 more answers

Check

algol [13]

Answer: Option A is the correct answer, y = x + 2

y - 3 = x-1