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Crazy boy [7]
3 years ago
12

Find formula for exponential function passing through points (-3,3/8) and (2/12)

Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0

Answer:

y = 3 · 2ˣ

Step-by-step explanation:

Exponential function is:

y = abˣ

Plug in the points:

⅜ = ab⁻³

12 = ab²

Solve the system of equations.  Start by dividing the second equation by the first:

12 / ⅜ = (ab²) / (ab⁻³)

32 = b⁵

b = 2

Plug into either equation to find a:

a = 3

Therefore:

y = 3 · 2ˣ

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Given: AABC, m_ACB=90°,<br> CD 1 AB, m ZACD=60º,<br> BC = 6 cm<br> Find: CD, Area of AABC
just olya [345]

Answer:

Look below

Step-by-step explanation:

Given that CDB is 90 degrees, ACB is 90 degrees, and ACD is 60 degrees, we can determine that DCB = 90-60 = 30 degrees.

This means triangle BCD is a 30-60-90 (angle measures) right triangle

The proportions of the sides (from smallest to largest) is

x:x√3:2x

We are given that BC = 6 cm. This means...

2x=6

x=3

This means DB is 3 cm and CD is 3√3 cm

Using the linear pair theorem, we can find that Angle CDA is 90 degrees. This means ACD is also a 30-60-90 triangle.

x=3√3

x√3=9

2x=6√3

Now we need to find AB

AB = AD + DB

AB = 9 + 3

AB = 12 cm

Area = \frac{1}{2} bh = \frac{1}{2}(12)(3\sqrt3)=6(3\sqrt3)=18\sqrt3

8 0
2 years ago
6 O
Elenna [48]

Answer:

2x -6

Step-by-step explanation:

2x is slope

-6 is y intercept

The function passes though -6

a slope of 2 means the function goes up 2 and over 1 unit for every 1 x unit

3 0
2 years ago
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carbon-14 has a half-life of 5730 years. The formula f(t)=(1/2)^t/5730 give the percentage of carbon-14 left in the item after t
andreyandreev [35.5K]
Heyy sorry I need the points
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Simplify the product
andrezito [222]
Distribute the 8p to all of the numbers in the parenthesis. You would multiply the coefficient and add the exponents. The answer would be B.
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Multiply and Simplify<br> (x-4)(-5x - 6)
zmey [24]

Answer:

-5x^2 +14x +24

Step-by-step explanation:

(x-4)(-5x - 6)

FOIL

first : x*-5x = -5x^2

outer : -6x

inner: -4*-5x = 20x

last: -4*-6 = 24

Add them together

-5x^2 -6x+20x +24

-5x^2 +14x +24

5 0
3 years ago
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