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3 years ago

Find the new amount of 8 meters increased by 25%.

1 answer:

8 0

The answer is 10 meters because 8 multiplied by 25% equals 2. 8 plus 2 is 10. So that means that the new amount of meters is 10 meters.

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Find dy/dx. if y = 8u - 6 and u = 3x - 8.

Dmitriy789 [7]

Use the chain rule:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

We have

$y=8u-6\implies\dfrac{\mathrm dy}{\mathrm du}=8$

$u=3x-8\implies\dfrac{\mathrm du}{\mathrm dx}=3$

so we get

$\dfrac{\mathrm dy}{\mathrm dx}=8\cdot3=\boxed{24}$

Alternatively, you can substitute u in the definition of y and differentiate with respect to x :

$y=8u-6=8(3x-8)=24x-64\implies\dfrac{\mathrm dy}{\mathrm dx}=24$

7 0

2 years ago

The equation d = 3t gives the distance, d, in meters that Liam swims with respect to time, t, in seconds.

Natasha_Volkova [10]

Answer:

Liam's rate = 3 meters per second

Edgar's rate = 3.2 meters per second

Edgar swims faster

Step-by-step explanation:

Liam:

The equation $d=3t$ gives the distance, d, in meters that Liam swims with respect to time, t, in seconds.

When $t=0,\ d=0.$

When $t=1,\ d=3.$

Rate of change:

$\dfrac{3-0}{1-0}=3$

Liam's rate is 3 metres per second.

Edgar:

When $t=20, \ d=64.$

When $t=40,\ t=128.$

Rate of change:

$\dfrac{128-64}{40-20}=\dfrac{64}{20}=3.2$

Edgar's rate is 3.2 metres per second.

Edgar swims faster.

5 0

2 years ago

How do I get the y over for the equation x+y=6 for it to be x-6=y

Allisa [31]

Answer:

Step-by-step explanation:

Use distribution

8 0

3 years ago

Read 2 more answers

bank a charges a monthly service fee of $2.00 and a per check fee of 0.05, while bank B charges a monthly service fee of $1.50 a

saw5 [17]

2 + .05x = 1.5 +.1x .5 = .05x x =10 is numbere when costs are equal So the 11th check makes Bank A cheaper

3 0

2 years ago

Read 2 more answers

Determine the number and type of zeros of the quadratic function based on the value of the discriminant

Katarina [22]

Answer:

See below

Step-by-step explanation:

if b^2 - 4ac is greater than 0 then there are 2 answers that are not equal to each other, but both are real.

If b^2 - 4ac = 0 then you have two real answers that are equal

The real problem is what happens when b^2 - 4ac is less than 0? In this case the answer is a complex number of the form

a + bi

a - bi

where i is the square root of - 1

6 0

3 years ago

Read 2 more answers