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3 years ago

If a function has two points with the same y value what is the average rate of change between them

1 answer:

defon3 years ago

5 0

“Average rate of change” is the fancy way to say “slope.”

Sketch a graph and put two points with the same y-value, say (2,5) and (7,5).

How much rise is there between those two points? Since they have the same y-value there is no rise at all. You have a horizontal line.

The slope of a horizontal line is 0.

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Someone lmk what the answer is

Elodia [21]

$f(-7) = -(-7)^2 - 10 \cdot (-7) + 16\\= -49 + 70 + 16\\= 22$

7 0

4 years ago

From least to greatest, what are the possible measures of angle b? round to the nearest whole number.

Maru [420]

The answer to this is 42 degrees and 138 degrees.

8 0

3 years ago

Read 2 more answers

The denominator of a rational number is greater than its numerator by 5. If 5 is subtracted from the numerator and 4 is added to

nasty-shy [4]

Answer:

7/12.

Step-by-step explanation:

=x/x+5.

x-5/x+5+4=⅛

x-5/x+9=⅛

x-5=⅛(x+9)

x-5=⅛x+1⅛

x-⅛x=1⅛+5

⅞x=49/8

7x=49

x=7

thus the initial fraction is x/x+5= <u>7</u><u>/</u><u>1</u><u>2</u>

A rational number is a fraction

4 0

3 years ago

The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a

liubo4ka [24]

Answer:

$(x,y,z)=(1477, 1464, 1437)$

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
Mr.A earns Rs6000

So, the equation would be

$3x + 5y - 4z = 6000$

Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
Mr B neither lose nor gain meaning he has made 0₹

hence,

$2x - 3y + z = 0$

Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
Mr.C earns 13000₹

therefore,

$- x + 4y + 6z = 13000$

Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Now solve the equation accordingly:

$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

$\implies z= \dfrac{217000}{151}$

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0

3 years ago

The Federal Bureau of Investigation reports state-level and national data on crimes.

SOVA2 [1]

Answer:

a)what was concluded is spurious

b) what was concluded could betrue

Step-by-step explanation:

a) Considering the number in Michigan, there is higher number of crimes but considering the population in Minnesota, the population is much less than Michigan, considering the crime the crimes per capital with the population size, Therefore Minnesota could have more crimes than Michigan's so, The conclusion is not true.

b)There is reduction of crimes from 1991 to 2001, so it can be assumed that the population has increased over the times, therefore, the per capita number of crimes decreased.

3 0

3 years ago