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Whitepunk [10]
4 years ago
5

How many solutions does this system have? 12 x - 4 y = - 8. y = 3 x + 2.

Mathematics
1 answer:
Contact [7]4 years ago
6 0

Answer:

infinite

Step-by-step explanation:

if you graph the  equation it would overlap.

overlap = infinite

parallel = no solution

intersect = one solution

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3. What are some of the goods that were in high demand and traded throughout the Afro-Eurasian
maxonik [38]

Step-by-step explanation:

Afro Eurasian network of trade basically encompassed all the major routes of trade before the discovery of Americas and thus meant that the tarde of many things was being done in different parts of it and from different parts of it.

The African coasts were rich in minerals and gold so it was traded from there while India and China were rich in silk, cotton, grain along with the very valuable salt which was also a commodity of the eastern and south eastern part of Asia.

The European trade route largely contributed to metals and non metals required for construction as well as other elements.

7 0
3 years ago
Bt= 8500 *(8/27)^t/3After a special medicine is introduced into a Petri dish full of bacteria, the number of bacteria remaining
ozzi

Answer:

Every 1.71 seconds, the bacteria loses \frac{1}{2}

Step-by-step explanation:

Given

B(t) = 8500 * (\frac{8}{27})^\frac{t}{3}\\

Required [Missing from the question]

Every __ seconds, the bacteria loses \frac{1}{2}

First, we model the function from t/3 to t.

B(t) = 8500 * (\frac{8}{27})^\frac{t}{3}\\

Apply law of indices

B(t) = 8500 * (\frac{8^\frac{1}{3}}{27^\frac{1}{3}})^t

Evaluate each exponent

B(t) = 8500 * (\frac{2}{3})^t --- This gives the number of bacteria at time t

At time 0, we have:

B(0) = 8500 * (\frac{2}{3})^0

B(0) = 8500 * 1

B(0) = 8500

Let r be the time 1/2 disappears.

When 1/2 disappears, we have:

B(r) = \frac{B(0)}{2}

B(r) = \frac{8500}{2}

B(r) = 4250

So, we have:

B(t) = 8500 * (\frac{2}{3})^t

Substitute r for t

B(r) = 8500 * (\frac{2}{3})^r

Substitute B(r) = 4250

4250 = 8500 * (\frac{2}{3})^r

Divide both sides by 8500

\frac{4250}{8500} =  (\frac{2}{3})^r

\frac{1}{2} =  (\frac{2}{3})^r

Take log of both sides

log(\frac{1}{2}) = log (\frac{2}{3})^r

Apply law of logarithm

log(\frac{1}{2}) = r\ log (\frac{2}{3})

Make r the subject

r = log(\frac{1}{2}) / log (\frac{2}{3})

r = \frac{-0.3010}{-0.1761}

r = 1.71

<em>Hence, it reduces by 1/2 after every 1.71 seconds</em>

6 0
3 years ago
What is 6 times 10 to the second negative power and 4.2 times to the the negative 3rd power
OverLord2011 [107]
Answer:

6 * 10 to the -2nd power = 0.00027777777

4.2 to the -3rd power = 0.01349746247

If this helped leave a thanks, thanks.
4 0
3 years ago
at the local racetrack, the favorite in a race has odds 5:3 of winning. what is the probability that the favorite wins the race.
Over [174]
Me 6 grader I don’t know
8 0
3 years ago
Need help with this will give brainiest and 5 stars along with points.
Katena32 [7]

Answer:

<em> f ( x ) = - 2x^2 + 3x + 1</em>

Step-by-step explanation:

If f ( x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;

− ∞  < x < ∞, while y > − ∞

Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;

If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;

<em>Solution; f ( x ) = - 2x^2 + 3x + 1</em>, where the degree is 2, the LCM ⇒ - 2

7 0
4 years ago
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