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2 years ago

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A student spends 17/35 of his pocket money on transport and fruits. He spends 5/6 of the remainder on sweets. What fraction of h

is pocket money does he spend on sweets?

1 answer:

Mashutka [201]2 years ago

6 0

Answer: 3/7 is the pocket money he spends on sweets

Step-by-step explanation:

Let the amount student spends be x

He spends 17/35x on transport and fruits

He spends 5/6 (x - 17/35x) on sweets

5/6 * (x -17/35x)

5/6 * 18/35x

= 3/7x

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Answer:

<em>The only value that is in the domains of both functions is 0</em>

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Step-by-step explanation:

As the original function is

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Since, domain is the set of all possible input values that define the function, and range is the set of all possible output values for all possible domain values for which the function is defined.

The domain of $f(x) = \sqrt{x}$ will be [0, ∞)

The range of $f(x) = \sqrt{x}$ will be [0, ∞)

Please check the attached <em>figure a</em> for visualizing the graph of $f(x) = \sqrt{x}$ .

<u><em>Impact of double transformation:</em></u>

When the function $f(x) = \sqrt{x}$ is reflected across x-axis, the function becomes $y = -\sqrt{x}$ after first transformation

After the second transformation across y-axis, the function $y = -\sqrt{x}$ becomes $g(x) = -\sqrt{-x}$

For

$g(x) = -\sqrt{-x}$

$-x$ must be equal to or greater than zero for $g(x) = -\sqrt{-x}$ to be defined i.e. -x ≥ 0.

So,

-x ≥ 0 can be written as x≤ 0

So,

The domain of $g(x) = -\sqrt{-x}$ will be (∞, 0]
The range of $g(x) = -\sqrt{-x}$ will be (∞, 0]

Please check the attached figure a for visualizing the graph of $g(x) = -\sqrt{-x}$ .

So, from the above discussion, we can say that

0 is the only that is in the domain of both function.
The range of g(x) is all values less than or equal to 0

So,

Only two statements are true about the functions f(x) and g(x) are true which are:

<em>The only value that is in the domains of both functions is 0</em>

<em>The range of g(x) is all values less than or equal to 0</em>

<em>Keywords: graph, function</em>

<em>Learn more about graph and function from brainly.com/question/11152594</em>

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Simon has a quarter, dime, nickel, and penny in his pocket. He wants to buy a snack at the canteen that costs 40¢. If he pulls o

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1 year ago

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Answer: E(Y) = 1.6 and Var(Y)=1.12

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Since $X_1\ and\ X_2$ are independent variables.

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In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: Chapter Reference b The length of the

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Answer:

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$(AB)^2=(BC)^2+(AC)^2$

$(13)^2=(BC)^2+(5)^2$

$169=(BC)^2+25$

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$\sin A=\frac{BC}{AB}$

$A=\sin ^{-1}\frac{12}{13}$

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Bisector divides the angle in two equal parts, therefore,

$A'=\frac{67.38}{2} =33.69$

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$\cos A'=\frac{\text{Base}}{\text{Hypotenuse}}$

$\cos A'=\frac{AC}{AD}$

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