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jasenka [17]
2 years ago
13

I think of a number and add one fourth of it to half of it and the result is twelve. What is the number I thought of?

Mathematics
1 answer:
belka [17]2 years ago
3 0

Suppose that the number u were thinking about is x thus :

\frac{1}{4} x +  \frac{1}{2} x = 12 \\

Multiply both sides by 4

4 \times ( \frac{1}{4} x +  \frac{1}{2} x) = 4 \times 12 \\

x + 2x = 48

3x = 48

Divide both sides by 3

\frac{3x}{3}  =  \frac{48}{3  }  \\

x = 16

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Answer:

It has the same domain as the function f(x)=-\sqrt{-x}

Step-by-step explanation:

we have

f(x)=\sqrt{-x}

we know that

The radicand cannot be a negative number

so

-x\geq 0

Solve for x

Multiply by -1 both sides

x\leq 0

The domain of the given function is the interval ----> (-∞,0]

All real numbers less than or equal to 0

The range of the given function is the interval ----> [0,∞)

All real numbers greater than or equal to zero

<u><em>Verify each statement</em></u>

Part 1) It has the same domain as the function f(x)=-\sqrt{-x}

<em>The statement is true</em>

The domain of the function f(x)=-\sqrt{-x} is

the interval ---> (-∞,0]

Part 2) It has the same range as the function f(x)=-\sqrt{-x}

The statement is false

The range of the function f(x)=-\sqrt{-x} is

the interval ---> (-∞,0]

Part 3) It has the same domain as the function f(x)=-\sqrt{x}

The statement is false

The domain of the function f(x)=-\sqrt{x} is

the interval ---> [0,∞)

Part 4) It has the same range as the function f(x)=-\sqrt{x}

The statement is false

The range of the function f(x)=-\sqrt{x} is

the interval ---> (-∞,0]

4 0
3 years ago
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podryga [215]

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6 0
3 years ago
Find the y-intercept for the graph of the following equation. 6x + 9y = 18
DiKsa [7]
Recall that the y-intercept is when the function passes the y-axis. This happens when x=0. Therefore, we can find our y-intercept by plugging x=0 into our function and solving for y.

6x + 9y = 18
6(0) + 9y = 18
0 + 9y = 18
9y = 18
y =2

Thus, our y-intercept is when x = 0 and y = 2, or (0,2).
8 0
3 years ago
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