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4 years ago

When x = 8, y=10 , find y when x = 64

Mathematics

1 answer:

worty [1.4K]4 years ago

4 0

Answer:

When x = 64, y = 80.

Step-by-step explanation:

Since the origanal value was 8 and now it´s 64, lets divide to see how much was multiplied. Then lets multipliy it with that number.

64 / 8 = 8

Soo..8 x 10 = 80.

When x = 64, y = 80.

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Use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?

Leya [2.2K]

Answer:

f(g(-1)) = 22

g(f(-1))=6

Step-by-step explanation:

We are given

$f(x)=5x+2 \\g(x)=3-x$

We need to find f(g(-1)) and g(f(-1))

Finding f(g(-1))

First we will find f(g(x)) i.e

$f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17$

Now finding f(g(-1)) by putting x=-1

$f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22$

So, f(g(-1)) = 22

Finding g(f(-1))

First we will find g(f(x)) i.e

$g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1$

Now finding g(f(-1)) by putting x=-1

$g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6$

So, g(f(-1))=6

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3 years ago

Is the answer to 6x^2-x-15=0 x=5/3,-3/2 ? Using the quadratic formula

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3 years ago

Studies indicate that 10.5% of the US population has diabetes. A producer of medical devices is developing a test for diabetes d

never [62]

Answer:

The answer is "0.95 and 0.5271".

Step-by-step explanation:

$p (d) = 0.905 \\\\p( false\ negative) = 0.05\\\\p(false \ positive ) = 0.10 \\\\$

In point a)

p ( positive diabetes ) $= 1 - 0.05 = 0.95$

In point b)

$p(\frac{d}{+ve}) = \frac{0.105 \times 0.95}{0.105 \times 0.95 +0.895 \times 0.10 }$

$=\frac{0.09975}{0.09975+0.0895}\\\\=\frac{0.09975}{0.18925}\\\\= 0.5271$

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3 years ago

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