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3 years ago

What is the average rate of change from x= -1 to x = 1?

Mathematics

1 answer:

zysi [14]3 years ago

8 0

Answer:Solution

Given,

c ( x ) = x 2 − 2500

(A) To calculate the average rate of change of c(x)from x1=100,x2=103

We know that

A...

Step-by-step explanation: The average rate is the rate of reaction calculates for a long time interval; it is defined as the amount of change. Instantaneous speed is calculated for a short time; it is known as differential average rate changes are the function of the second term subtract the first term and divided by the second term subtract the first term.

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60 mi Mi<br> ——— = ———<br> 1 hr 5 hr

sleet_krkn [62]

Answer:

300 mi

Step-by-step explanation:

x= missing mi

60 × 5 = 1x

300 = 1x

divide by 1 on each side

300 = x

8 0

3 years ago

Evaluate help please!

UNO [17]

<h2><u>ABSOLUTE VALUE</u></h2>

The absolute value of a number is the distance from 0 to that number. The distance is positive, hence, the absolute value is always a positive number.

<h3>Exercise</h3>

Replace the value of x:

$| x - 8 |$

$| -4 - 8 |$

$| -12 | = \large{\boxed{12}}$

The absolute value of a number is the numerical value of the number, without regard to its sign.

<h3><u>Answer.</u> 12</h3>

3 0

3 years ago

Which equation is the equation of a line that is perpendicular to x + 2y = 16?

AnnyKZ [126]

Answer:

$y=2x-2$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

Perpendicular lines always have slopes that are negative reciprocals. For example, 2 and -1/2. 3/4 and -4/3.

To determine whether a line is perpendicular to $x + 2y = 16$ , we must first determine its slope. Rearrange the given equation into slope-intercept form:

$x + 2y = 16\\\\2y =-x+ 16\\\\y=\displaystyle -\frac{1}{2}x +\frac{16}{2} \\\\y=\displaystyle -\frac{1}{2}x +8$

From this, we can clearly tell that the slope (<em>m</em>) of the line is $\displaystyle -\frac{1}{2}$ .

The negative reciprocal of $\displaystyle -\frac{1}{2}$ is 2. Therefore, the slope of a perpendicular line would be 2.

Therefore, the correct answer option would be $y=2x-2$ .

I hope this helps!

8 0

3 years ago

2.) Fill in the blank.

Montano1993 [528]

Answer:

E.) 1

Step-by-step explanation:

Firstly we will solve for L.H.S.

L.H.S. = $Csc^2\theta$

Since we know that $Csc^2\theta$ is the inverse of $Sin^2\theta$ .

So we can say that;

$csc^2\theta=\frac{1}{sin^2\theta}$

Now For R.H.S.

$Cot^2\theta+1$

Since we can rewrite $cot^2\theta$ as $\frac{cos^2\theta}{sin^2\theta}$ .

Now we can say that the R.H.S. is;

$\frac{cos^2\theta}{sin^2\theta}+1$

Now we add the fraction and get;

$\frac{cos^2\theta+sin^2\theta}{sin^2\theta}$

Now according to trigonometric identity;

$cos^2\theta+sin^2\theta=1$

So, $\frac{cos^2\theta+sin^2\theta}{sin^2\theta}=\frac{1}{sin^2\theta}$

Here,

$csc^2\theta=\frac{1}{sin^2\theta}$ and $Cot^2\theta+1$ = $\frac{1}{sin^2\theta}$ <em> </em>

L.H.S. = R.H.S.

Hence $csc^2\theta=cot^2\theta+1$

4 0

3 years ago

One wintry week a ski town got 5 1/3 inches of snow. On monday the town got 2 3/4 inches; on tuesday it got 1 1/2 times as much;

m_a_m_a [10]

Answer: The amount of snow the town get the rest of the week is given by

$\frac{5}{24}$

Step-by-step explanation:

$\text{ Total inches of snow town got in a week }=5\frac{1}{3}=\frac{16}{3}$

$\text{ Amount of snow it is receiving on Monday}=2\frac{3}{4}=\frac{11}{4}\text{ inches }$

$\text{Amount of snow it is receiving on Tuesday}=1\frac{1}{2}=\frac{3}{2}\text{ inches }$

$\text{Amount of snow it is receiving on Wednesday}=\frac{7}{8}\text{ inches }$

$\text{Amount it is receiving in remaining week is given by}$

$\frac{16}{3}-(\frac{11}{4}+\frac{3}{2}+\frac{7}{8})\\\\=\frac{16}{3}-\frac{22+12+7}{8}\\\\=\frac{16}{3}-\frac{41}{8}\\\\=\frac{128-125}{8}\\\\=\frac{5}{24}\text{ inches }$

So, the amount of snow the town get the rest of the week is given by

$\frac{5}{24}\text{ inches }$

7 0

4 years ago

What is the average rate of change from x= -1 to x = 1?​

What is the average rate of change from x= -1 to x = 1?