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3 years ago

HELP I NEED TO FIND THIS ANSWER PLEASE !!!

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

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(6x2−4x−5)−1(3x2−7x+2)
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Choose the scenario that could be represented by 5/6

Brut [27]

Answer:

d. A five-hour bus trip is divided into six equal legs.

Step-by-step explanation:

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3 years ago

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Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides

RSB [31]

Answer:

Step-by-step explanation:

Using the parallelogram theorem

3x-8 = 10x+13

-7x = 21

x = -3

Substitute

3(-3) - 8

-17

10(-3) + 13

-17

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3 years ago

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

How do you determine the slope interscept equation of two given pointa

DiKsa [7]

Step-by-step explanation:

To find the slope intercept form of any equation using two points, you first need to find the slope. You can do this using the slope formula below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, we find the slope by putting in the values we have given the points. The first point you have would be (x1, y1). So if your first point is (3, 1), you would put 3 in for x1 and 1 in for y1. Then you do the same for the second point using (x2, y2).

After you've solved that equation and got m, you can use point-slope form. Take your first point and your newly found slope and plug the values into the following equation.

y - y1 = m(x - x1)

After this, you can solve for y and that will be your slope intercept form.

7 0

3 years ago

I WILL GIVE BRAINLY

Simora [160]

Answer:

Step-by-step explanation:

We will let d represent the amount of dimes Angela has.

Angel has 5 fewer quarters than twice the number of dimes.

Twice the number of dimes will be 2d.

Then, 5 fewer will yield 2d-5.

Therefore, the amount of quarters Angela has is 2d-5.

Then, the total amount of coins (dimes and quarters) together, will be:

$d+(2d-5)$

The first part is the amount of dimes.

And the second part is, as we determined, the amount of quarters.

Therefore, our answer is D.

7 0

3 years ago