All categories

3 years ago

Solve the system of equations

Mathematics

1 answer:

miv72 [106K]3 years ago

5 0

Answer:

y = -3 when x = 4

Step-by-step explanation:

2x-4y = 20

x = 4

2(4) - 4y = 20

8 - 4y = 20

-4y = 12

y = -3

You might be interested in

Determine the total number of roots of each polynomial function using the factored form.f (x) = (x 1)(x - 3)(x - 4)

aliina [53]

Answer:

there are 3 roots at x=+-1, +3, +4

Step-by-step explanation:

4 0

2 years ago

You invest $4000 in an account at 6.5% per year simple interest. How much will you have in the account at the beginning of the 9

aleksandrvk [35]

Answer:

$6340

Step-by-step explanation:

First figure out what 6.5% of 4000 is by multiplying not dividing because dividing will give you a way bigger number.

4000 x 6.5%=260

260 x 9=2340

2340+4000=6340

8 0

3 years ago

If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time ca

aleksandr82 [10.1K]

Answer:

(a)8.0mg

(b)36.87 hours

(c)-0.168

Step-by-step explanation:

The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function $A ( t ) = 10 e^{ -0.0188 t$ (t in hours)

(a)After 12 Hours

$A ( 12) = 10 e^{ -0.0188*12}\\=7.98\\\approx 8.0 mg $(to the nearest tenth of a milligram)$

(b)If A(t)=5mg

Then:

$5= 10 e^{ -0.0188 t}\\$Divide both sides by 10\\0.5=e^{ -0.0188 t}\\$Take the natural logarithm of both sides\\ln (0.5)=-0.0188 t\\t=ln (0.5) \div (-0.0188)\\$t=36.87 hours (to two decimal places.)$

(c)

$A ( t ) = 10 e^{ -0.0188 t}\\A'(t)=10(-0.0188)e^{ -0.0188 t}\\A'(t)=-0.188e^{ -0.0188 t}\\$At 6 hours, the rate at which the amount of Valium is decaying therefore is:\\A'(6)=-0.188e^{ -0.0188*6}\\$=-0.168 ( to three decimal places)$

3 0

2 years ago

What is 15/36 in simplest form

Art [367]

5/12 is the simplest form of 15/36

5 0

3 years ago

21.(03.02)<br> If f(x) = 7x – 1, what does f(12) represent?

Mnenie [13.5K]

Answer:

Step-by-step explanation:

f(x) = 7x - 1

Put x as 12.

f(12) = 7(12) - 1

f(12) = 84 - 1

f(12) = 83

3 0

3 years ago