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3 years ago

What are some solution(s) to the quadratic equation 40 - x^2 = 0

Mathematics

1 answer:

Serhud [2]3 years ago

3 0

Answer:

x = ± 2 $\sqrt{10}$

Step-by-step explanation:

given

40 - x² = 0 ( add x² to both sides )

40 = x² or

x² = 40 ( take the square root of both sides )

x = ± $\sqrt{40}$ = ± $\sqrt{4(10)}$ = ± 2 $\sqrt{10}$

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Yoda soda is the intergalacatic party drink .You are throwing a party and you need 5 liters of Yoda soda for 12 guest. If you ha

aksik [14]

Answer:

15 liters

Step-by-step explanation:

Given:

We need 5 liters of Yoda soda for 12 guest.

To find:

If we have 36 guest how many liters of Yoda soda we need.

Solution:

<u>By unitary method:</u>

For 12 guests, we need liters of Yoda soda = 5

For 1 guest, we need liters of Yoda soda = $\frac{5}{12}$

For 36 guests, we need liters of Yoda soda = $\frac{5}{12}\times36=\frac{180}{12} =15\ liters$

Therefore, we need 15 liters of Yoda soda for 36 guests.

7 0

3 years ago

The function h(x) is given below:

g100num [7]

Step-by-step explanation:

The domain and range of a function and its inverse are inverted i.e. The domain of the function will become range of its inverse and the range of the function will become the domain of its inverse.

When representing the function in ordered pairs, the first values in the pair represents the domain and second values represent the range of the function.

h(x) = {3,5),(5,-7)(6,-9)(10,-12)(12,16)}

Domain of h(x) is: {3, 5, 6, 10, 12}

Range of h(x) is: (5, -7, -9, -12, 16}

So,

Domain of $h^{-1}(x)$ = Range of h(x) = (5, -7, -9, -12, 16}

Range of $h^{-1}(x)$ = Domain of h(x) = {3, 5, 6, 10, 12}

Therefore, $h^{-1}(x)$ will be represented as:

{(5,3), (-7,5), (-9, 6), (-12, 10), (16,12)}

It seems like you have made some error while writing the original function because of which we are not getting an exact match in the answer. However by looking at the answers, option B is the nearest most and seems the correct answer.

6 0

3 years ago

A sequence is defined by the recursive function f(n+1)= f(n) -2. If f(1) =10. what is f(3)?

sweet [91]

Answer:

f(3) is 30

Step-by-step explanation:

8 0

3 years ago

Drag the numbers to order them from greatest to least, with the greatest at the top.

astraxan [27]

Step-by-step explanation: