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7 months ago

The cost of 2kg apples and 3 kg oranges is Rs. 120. [Take x and y as the cost per kg of apples and oranges respectively.]

Mathematics

1 answer:

stiv31 [10]7 months ago

6 0

Step-by-step explanation:

2+3=120

5=120

=120

=24

apple=2 multiply 24 is 48

orange=3 multiply 24 is 72

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Use the function f(x)=x^2-8 find the inverse of f(x)

likoan [24]

Answer:

Step-by-step explanation:

let : y = x² - 8

calculate : x

x² = y + 8

x exist : y + 8 ≥ 0

x = √(y + 8) or x = - √(y + 8)

conclusion :

if : x ≥ 0 the inverse of f(x) is : g(x) = √(x + 8)

if : x ≤ 0 the inverse of f(x) is : h(x) = - √(x + 8)

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3 years ago

A submarine is at -125 feet in the ocean. The submarine makes 3 dives of 50 feet each. At what level is the submarine after thre

iren2701 [21]

Each dive goes further down, so it represents -50 ft (not positive which would represnt going up).

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We know that there are 3 dives so plug that in for x
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Final answer: -275 ft

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3 years ago

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3 years ago

Which set of statements explains how to plot a point at the location (-2.5,3.75)?

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Solve: In 2x + In 2 = 0 DONE

pychu [463]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

We can use some logarithmic rules to solve this easily.

Note: Ln means $Log_e$

Now, lets start with the equation:

$ln(2x) + ln(2) = 0\\ln(2x) = -ln(2)$

Writing left side with logarithmic base e, we have:

$Log_{e}(2x) = -ln(2)$

We can now use the property shown below to make this into exponential form:

$Log_{a}b=x\\means\\a^x=b$

So, we write:

$Log_{e}(2x) = -ln(2)\\e^{-ln(2)}=2x$

We recognize another property of exponentials:

$a^{bc}=(a^{b})^{c}$

So, we write:

$e^{-ln(2)}=2x\\(e^{ln(2)})^{-1}=2x$

Also, another property of natural logarithms is:

$e^{(ln(a))}=a$

Now, we simplify:

$(e^{ln(2)})^{-1}=2x\\(2)^{-1}=2x\\\frac{1}{2}=2x\\x=\frac{\frac{1}{2}}{2}\\x=\frac{1}{4}$

This is the answer.

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2 years ago