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DedPeter [7]
3 years ago
14

Plz help asap... Explain as much as possible to me plz

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Since the 2 figures are similar then the ratios of corresponding sides are equal, that is

\frac{8}{x} = \frac{18}{6} ( cross- multiply )

18x = 48 ( divide both sides by 18 )

x = \frac{48}{18} = \frac{8}{3} = 2 \frac{2}{3}

Similarly

\frac{5}{y} = \frac{18}{6} ( cross- multiply )

18y = 30 ( divide both sides by 18 )

y = \frac{30}{18} = \frac{5}{3} = 1 \frac{2}{3}

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If f(x) = 2х2 +1 and g(x) = х2 -7, find (f-g)(x).
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Option A

If  f(x) = 2x^2 + 1 and g(x) = x^2 - 7 then (f - g)(x) = x^2 + 8

<em><u>Solution:</u></em>

Given that f(x) = 2x^2 + 1 and g(x) = x^2 - 7

To find: (f - g)(x)

We know that,

(f – g)(x) = f (x) - g(x)

Let us substitute the given values of f(x) and g(x) in above formula,

(f - g)(x) = 2x^2 + 1 - (x^2 - 7)

For solving the brackets in above expression,

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

So the expression becomes,

(f - g)(x) = 2x^2 + 1 -x^2 + 7

Combining the like terms,

(f - g)(x) = 2x^2 - x^2 + 1 + 7\\\\(f - g)(x) = x^2 + 8

Thus option A is correct

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