All categories

3 years ago

Graph y = 4/5 * x - 7 .

Mathematics

1 answer:

givi [52]3 years ago

5 0

Answer: x= 0,8.75 y=0,-7

Step-by-step explanation:

You might be interested in

Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decr

Airida [17]

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

$A(t) = A(0)e^{-kt}$

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, $A(10) = 0.7278A(0)$ . We use this to find k.

$A(t) = A(0)e^{-kt}$

$0.7278A(0) = A(0)e^{-10k}$

$e^{-10k} = 0.7278$

$\ln{e^{-10k}} = \ln{0.7278}$

$-10k = \ln{0.7278}$

$k = -\frac{\ln{0.7278}}{10}$

$k = 0.03177289938
$

Then

$A(t) = A(0)e^{-0.03177289938t}$

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

$A(5) = A(0)e^{-0.03177289938*5}$

$A(5) = 0.8531$

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

7 0

3 years ago

If f(x)=3x + 10 and g(x)= 2x - 4 find (f-g)( x)

zmey [24]

$(f-g)(x)=3x+10-(2x-4)=3x+10-2x+4=x+14$

7 0

3 years ago

To secure your financial future, you must have some source of income. While income can be earned in a variety of ways, most peop

VladimirAG [237]

Answer:

You would also need to know for how many hours each day would you be working.

5 0

3 years ago

•The sentence 3+(5+2)=(5+2)+3 shows property?

laila [671]

Associative property is your answer

The Associative property states that no matter which group is parenthesized, the answer will still be the same.

hope this helps

4 0

3 years ago

Carter says 0.08 is equivalent to 8/10. Describe Carter's error. How would you correct him?

telo118 [61]

Answer:

Carters error is that the two digits would be tenth hunderenths

And to explain it to him i would tell him that In the given number 52.761, the digit in tens place is 5 as it is the second digit to the left of decimal point. Step 2: The digit in hundredths place is 6 as it is the second digit to the right of decimal point.

4 0

3 years ago

Read 2 more answers