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3 years ago

32 is 4 more than twice a number. What is the number?

Mathematics

1 answer:

fiasKO [112]3 years ago

5 0

Answer:

The number you are looking for is 14.

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You have a rectangular garden that is 10 feet

Ahat [919]

a. If you double both sides, you'll get a rectangle with dimensions 20 feet wide and 30 feet long, therefore the area will be 20 × 30 = 600 feet².

b. The area of the old rectangle was 10 × 15 = 150 feet², so no the area is not twice as large, it is 4 times as large. This is because if the area is base × height, then doubling both of these gets you (2 × base) × (2 × height) = 4 × (base × height).

I hope this helps!

6 0

3 years ago

If f(x)=1/x and g(x)=x^2-4x. What two numbers are not in the domain of f o g?

statuscvo [17]

The composed fraction $f \circ g$ means that the input of $f(x)$ is the ouput of $g(x)$ .

So, the chain is

$x \mapsto g(x) \mapsto f(g(x)) = f\circ g = \dfrac{1}{g(x)} = \dfrac{1}{x^2-4x}$

The domain of $f(x)$ is composed by all inputs which are not zero, otherwise we would have a zero denominator.

So, since $f(x)$ doesn't accept 0 as an input, and we want to feed it with $g(x)$ , we conclude that $g(x)$ can't be zero.

So, we have

$f \circ g = f(g(x)) = f(x^2-4x) = \dfrac{1}{x^2-4x} \implies x^2-4x \neq 0$

Since

$x^2-4x = x(x-4)$

we have

$x^2-4x = 0 \iff x(x-4) = 0 \iff x=0 \lor x=4$

Since these two points cases $g(x)$ to vanish, they can't be accepted as inputs by $f(x)$ .

5 0

3 years ago

Simplify the following 7 times the square root of 54 - 2 times the square root of 24

EleoNora [17]

The first step for solving this problem is to simplify the radical
7 $\sqrt{54 - 2}$ x 2√6
Calculate the product
14 $\sqrt{(54 - 2) X 6}$
Subtract the numbers
14 $\sqrt{56 x 6}$
Simplify the radical
14 x 2 $\sqrt{13 x 6}$
Multiply the numbers
14 x 2√78
Finally,, calculate the product for your final answer
28√78
Let me know if you have any further questions
:)

4 0

4 years ago

1.15036840 rounded to the nearest ten thousanths

professor190 [17]

Answer:

chtfd ffg it excites shortz Ford Ford

1.150

Step-by-step explanation:

fuffxdfftffft

6 0

4 years ago

Read 2 more answers