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2 years ago

Solve the system of linear equations. 3x−2y=1 9x−6y=3

1 answer:

8 0

Get the y by itself

-2y= -3x + 1

Divide -2 to everything

y= 3/2x - 1/2

Other equation (get y by itself)

-6y= -9x + 3
y=3/2x - 1/2

Use substitution

3/2x-1/2=3/2-1/2

0=0

All real numbers (any value of x makes the equation true)

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X = ????????? Geometry

bazaltina [42]

Answer:

$\boxed{x = 6}$

Step-by-step explanation:

Using Chord-Chord Power theorem:

=> (2)(x) = (4)(3)

=> 2x = 12

Dividing both sides by 2

=> x = 6

7 0

3 years ago

Find the value of each variable

yanalaym [24]

Answer:

Step-by-step explanation:

8 0

3 years ago

The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equationC(t)=100t/t^2+25where t

alisha [4.7K]

Answer:

It will take 5 hours until it reaches its maximum concentration.

Step-by-step explanation:

The maximum concentration will happen in t hours. t is found when

$C'(t) = 0$

In this problem

$C(t) = \frac{100t}{t^{2} + 25}$

Applying the quotient derivative formula

$C'(t) = \frac{(100t)'(t^{2} + 25) - (t^{2} + 25)'(100t)}{(t^{2} + 25)^{2}}$

$C'(t) = \frac{100t^{2} + 2500 - 200t^{2}}{(t^{2} + 25)^{2}}$

$C'(t) = \frac{-100t^{2} + 2500}{(t^{2} + 25)^{2}}$

A fraction is equal to zero when the numerator is 0. So

$-100t^{2} + 2500 = 0$

$100t^{2} = 2500$

$t^{2} = 25$

$t = \pm \sqrt{25}$

$t = \pm 5$

We use only positive value.

It will take 5 hours until it reaches its maximum concentration.

4 0

2 years ago

John removed 64 fish from his pond over a period of 8 days. He removed the same number of fish each day. What was the change in

alex41 [277]

He removed 8 fish a day. 64/8=8 :) hope this helps and have a nice day!

4 0

2 years ago

Assume p value for an independent samples t-test is 0.043 and the chosen level of significance is 0.05. The correct decision in

STatiana [176]

Answer: False

Step-by-step explanation:

We know that , If p-value < $\alpha$ , we reject the null hypothesis .

If p-value ≥ $\alpha$ , we are fail to reject the null hypothesis .

As per given , we have

The p value for an independent samples t-test is 0.043.

The level of significance is $\alpha=0.05$

Since , 0.043 < 0.05.

i.e. p-value < $\alpha$

It means we reject the null hypothesis .

It means the null hypothesis is false.

Hence , the correct decision in this scenario is to favor the null hypothesis : False

7 0

3 years ago