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2 years ago

If g(x)= x+1/x-2 and h(x)= 4-x, what is the value of (g*h) (-3)

Mathematics

1 answer:

polet [3.4K]2 years ago

8 0

Answer:

14/5.

Step-by-step explanation:

(g*h) ( x) = (x + 1)( 4 - x) / (x - 2)

So (g*h) (-3) = (4 - -3) (-3 + 1) / (-3-2)

= 7 * -2 / -5

= -14/ -5

= 14/5.

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2 years ago

Vicki puts 10 books on a shelf.

nadezda [96]

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2 years ago

Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)

mina [271]

The result of the log function $log_a (m * n ^ 2)$ is 60

According to the law of logarithm if $log_ab=y$ then $b=a^y$

Given the following expressions

$log_am=10\\log_an=25$

This can be expressed as

$m =a^{10} \ and \ n = a^{25}$

Substitute the value of m and n into the expression $log_a (m * n ^ 2)$ to have:

$log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60$

This shows that the result of the log function $log_a (m * n ^ 2)$ is 60

Learn more here: brainly.com/question/12049968

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1 year ago

What is the volume of the prism?

mezya [45]

Answer:

40 $\frac{5}{8}$ $cm^{3}$

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length = 6 $\frac{1}{2}$ cm

width = 2 $\frac{1}{2}$ cm

height = 2 $\frac{1}{2}$ cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 $\frac{1}{2}$ cm x 2 $\frac{1}{2}$ cm x 2 $\frac{1}{2}$ cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.