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3 years ago

Graph of each function y equals -.2 x + 3

Mathematics

2 answers:

never [62]3 years ago

8 0

I think you need to go to the point (0,3) and then start going down -.2 and to the right 1 ?

Romashka-Z-Leto [24]3 years ago

3 0

Answer:

Alright well Use the slope Intercept form to find the slope and y-intercept

Slope: - 2

Y-intercept: 3 Hope this helps, and have a nice day :)

Step-by-step explanation:

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denpristay [2]

Answer:

≈2.45436

Step-by-step explanation:

I typed it in my calculator.

6 0

3 years ago

Use the quadratic formula to solve x-6x+8=0

Sedbober [7]

x = [-(-6) +/- sqrt((-6)^2 - 4*1 * 8))] / 2

= (6 + sqrt4) / 2 , ( 6 - sqrt4)/2

= 4 , 2

6 0

4 years ago

To begin a bacteria study, a petri dish had 1800 bacteria cells. Each hour since, the number of cells has increased by 15%.

rodikova [14]

Answer:

The exponential function is $C(t)=y(b)^t\ Or\ C(t)=1800(1.15)^1$

Step-by-step explanation:

Given

$t$ be the number of hours.

$y$ number of bacteria cells.

And we know that an exponential function is $C(t)=y(b)^t$ ,where $b$ is a positive real number, and in which the argument $t$ occurs as an exponent

The petri dish has $1800$ bacteria cells we can say that $y=1800$

In the equation as $C$ is function of time and $(t)$ will vary as $1,2,3$ for respective hours.

To find the value of $b$ we have to understand that it is dependent on percent increase if there is increment of $15\%$ then $b=1+15\%=1+\frac{15}{100}=1+0.15=1.15$

So the exponential function will be $C(t)=y(b)^t$ ,plugging the values it will be equivalent to $C(t)=1800(1+0.15)^1$

Check:

$15\% of 1800 =0.15\times 1800=270$

So in first hour the cells will increased by a quantity of $270$ cells.

The number of cells after an hour in the petri dish $=(1800+270)=2070$

That can also be from the formula.

$C(t)=1800(1.15)^1=2070$

So the exponential function is $C(t)=y(b)^t\ Or\ C(t)=1800(1.15)^1$

$y$ will increase exponentially as the value of $t$ increase.

5 0

3 years ago

Ln 2 - ln (3x + 2) =1

Westkost [7]

When you add 2 logs together, you get the log of the product.
When you subtract 2 logs, you get the log of the quotient.

Like this:

Ln(2) - Ln(3x+2) is the Ln(2/3x+2) .

So now you have Ln(2/3x+2) = 1

Raise 'e' to the power of
each side of the equation: (2/3x+2) = e¹

Multiply each side by (3x+2): 2 = (e) (3x+2)

Divide each side by 'e': 2/e = 3x + 2

Subtract 2 from each side: (2/e) - 2 = 3x

Divide each side by 3: x = [ (2/e) - 2 ] / 3

= approx. -0.421... (rounded)

I checked this by writing it into the original equation in place of 'x'.
That took my about 5 tries, but it finally checked OK.

Please. DON't use my answer unless you understand
where it came from.

7 0

4 years ago

A stem-and-leaf plot has the key 3|4 = 34. How would the value 8 be represented? 1. 3|8

irinina [24]

Answer:

4. 0|8

Step-by-step explanation:

key 3|4 = 34

The first digit is the tens place and the second digit is the ones place

8 can be represented as 08

0|8 would be 08

7 0

3 years ago

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