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4 years ago

F(x) = 2x2 - X - 15 find f(-6).

Mathematics

1 answer:

xz_007 [3.2K]4 years ago

7 0

Answer:

the answer is

*x+57

Step-by-step explanation:

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What is a improper faction

ss7ja [257]

Answer:

a fraction in which the numerator is greater than the denominator, such as 5/4.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

After 12% the cost of a new cooler is £190.40 work out the original price

inessss [21]

So, say the original price is "x" pounds, namely the 100%, then it gets increased by 12% and lands on £190.40, so £190.40 is really 100% + 12% or the 112% then.

since we know that £190.40 is 112%, what is "x"?

 $\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
190.40&112\\
x&100
\end{array}\implies \cfrac{190.40}{x}=\cfrac{112}{100}\implies \cfrac{190.40\cdot 100}{112}=x$

5 0

3 years ago

Read 2 more answers

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = (x-8)/(x+7) g(x) = (-7x-8)/(x-1) I'm runni

Sphinxa [80]

$f(x)=\frac{x-8}{x+7} \\
g(x)=\frac{-7x-8}{x-1} \\ \\
f(g(x))=\frac{\frac{-7x-8}{x-1}-8}{\frac{-7x-8}{x-1}+7}=\frac{\frac{-7x-8}{x-1}-\frac{8(x-1)}{x-1}}{\frac{-7x-8}{x-1}+\frac{7(x-1)}{x-1}}=\frac{\frac{-7x-8}{x-1}-\frac{8x-8}{x-1}}{\frac{-7x-8}{x-1}+\frac{7x-7}{x-1}}=\frac{\frac{-7x-8-8x+8}{x-1}}{\frac{-7x-8+7x-7}{x-1}}= \\ =\frac{\frac{-13x}{x-1}}{\frac{-13}{x-1}}=\frac{-13x}{(x-1)} \times \frac{(x-1)}{-13}=x \\ \Downarrow \\ f(g(x))=x \\
\checkmark$

$g(f(x))=\frac{-7(\frac{x-8}{x+7})-8}{\frac{x-8}{x+7}-1}=\frac{\frac{-7(x-8)}{x+7}-\frac{8(x+7)}{x+7}}{\frac{x-8}{x+7}-\frac{1(x+7)}{x+7}}=\frac{\frac{-7x+56}{x+7}-\frac{8x+56}{x+7}}{\frac{x-8}{x+7}-\frac{x+7}{x+7}}= \\
=\frac{\frac{-7x+56-8x-56}{x+7}}{\frac{x-8-x-7}{x+7}}=\frac{\frac{-15x}{x+7}}{\frac{-15}{x+7}}=\frac{-15x}{(x+7)} \times \frac{(x+7)}{-15}=x \\ \Downarrow \\ g(f(x))=x \\ \checkmark$

7 0

3 years ago

If two sides of a right angled triangle are 5cm and 6cm long, how many possibilities are there for the length of the third side?

Alborosie

Answer:

The other side is either 7.81 cm or 3.32 cm.

Step-by-step explanation:

The two sides of a right triangle are 5 cm and 6 cm.

There are three different ways this can happen.

1. 5 cm and 6 cm are the two legs of the 90° angle and hence, the hypotenuse is the third side.

Now, applying Pythagoras Theorem,

Hypotenuse = $\sqrt{6^{2} + 5^{2}} = 7.81$ cm.

2. Then one leg of the right angle is 6 cm and 5 cm is the hypotenuse.

But as 5 < 6, so, this is not possible as the length of the hypotenuse is more than the lengths of the legs.

3. 6 cm is the length of the hypotenuse and one leg is 5 cm.

The applying the Pythagoras Theorem, the length of the other leg will be given by $\sqrt{6^{2} - 5^{2}} = 3.32$ cm. (Answer)

8 0

3 years ago

Fill in the blank. given e below, you can conclude that is congruent to ___________.

Orlov [11]

Is there a picture that would help me so I can help you? Thanks

3 0

4 years ago