All categories

3 years ago

A relation is plotted as a linear function on the coordinate plane starting at point E at

2 answers:

4 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ 0}} &,&{{ 27}}~) 
% (c,d)
&&(~{{ 5}} &,&{{ -8}}~)
\end{array}
\\\\\\
% slope = m
\stackrel{\stackrel{average}{rate~of~change}}{slope}= {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{-8-27}{5-0}\implies \cfrac{-35}{5}\implies -7$

well, when x = 0, namely at the very beginning, y = 27, thus, that IS the initial value.

nevsk [136]3 years ago

3 0

Answer:

x= -7 and y= 27.

Step-by-step explanation:

You might be interested in

65000÷9330

Nataly [62]

Step-by-step explanation:

1.answer is 6.9667738478

2 answer is 42.872454448

3answer is 14.1339764202

4answer is 0.0857449089.

8 0

3 years ago

The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun

Ugo [173]

Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. $\mu=12.30$ and $\sigma=0.20$

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process = probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

$P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587$

Hence, the required probability= A) 0.1587

6 0

3 years ago

Point G is on line segment{FH}

Angelina_Jolie [31]

Answer:

FG = 7

Step-by-step explanation:

5x+2+3x-1=9

8x+1=9

8x = 8

x = 1

FG = 5(1)+2 = 7

8 0

3 years ago

Please help with math

jeka94

What would you need help with?

4 0

3 years ago

How do historians define the term "causation

Naily [24]

Your answer would be the relationship between two events in which one leads directly to the other occurring

5 0

3 years ago