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3 years ago

10

The fish tank was $50 yesterday, and today it has gone up by 25%... What's the new price?

1 answer:

Gennadij [26K]3 years ago

8 0

Answer: $62.5

Step-by-step explanation:

50 x 25% = 12.5

50+12.5=62.5

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What is the best approximation of the solutions to the system to the nearest integer values?

Aleksandr-060686 [28]

The first number in the couplet is the distance along the x-axis (i.e. distance from the y-axis). We can read 0.8 from the graph.
The second number is the distance along the y-axis (i.e.distance from the x-axis). We can read 6.7 from the graph.

So approximately, we have the point as (0.8, 6.7).
Round the numbers to the nearest integer and you'll get the required answer choice.

4 0

3 years ago

Genrish500 [490]

Given

$a\sqrt{x+b}+c=d$

we have

$\sqrt{x+b}=\dfrac{d-c}{a}$

Squaring both sides, we have

$x+b=\dfrac{(d-c)^2}{a^2}$

And finally

$x=\dfrac{(d-c)^2}{a^2}-b$

Note that, when we square both sides, we have to assume that

$\dfrac{d-c}{a}>0$

because we're assuming that this fraction equals a square root, which is positive.

So, if that fraction is positive you'll actually have roots: choose

$a=1,\ b=0,\ c=2,\ d=6$

and you'll have

$\sqrt{x}+2=6 \iff \sqrt{x}=4 \iff x=16$

Which is a valid solution. If, instead, the fraction is negative, you'll have extraneous roots: choose

$a=1,\ b=0,\ c=10,\ d=4$

and you'll have

$\sqrt{x}+10=4 \iff \sqrt{x}=-6$

Squaring both sides (and here's the mistake!!) you'd have

$x=36$

which is not a solution for the equation, if we plug it in we have

$\sqrt{x}+10=4 \implies \sqrt{36}+10=4 \implies 6+10=4$

Which is clearly false

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3 years ago

The middle school basketball team is selling t-shirts for $12.50 each to raise money for new uniforms. They have already sold 40

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Answer: 28

Step-by-step explanation:

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