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2 years ago

title=" \frac{3}{5} {x}^{2} - 2 = - 5" alt=" \frac{3}{5} {x}^{2} - 2 = - 5" align="absmiddle" class="latex-formula">
single variable quadratics

Mathematics

1 answer:

stira [4]2 years ago

7 0

Firstly, add 2 to both sides of the equation: $\frac{3}{5}x^2=-3$

Next, multiply both sides by 5/3: $x^2=-5$

Next, square root both sides: $x= \pm \sqrt{-5}$

Lastly, factor out i (i = √-1) and <u>your answer will be $x= \pm \sqrt{5}i$ </u>

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Goryan [66]

Answer:

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<u>Exponential Function</u>

The exponential function can be written with the general equation:

$f(x)=A\cdot r^x$

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

$\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x$

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This gives the correct value of f(0)=4.

Substituting in the fourth function:

$\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x$

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This choice is wrong

Correct choice:

$\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}$

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2 years ago

Melissa is stacking storage cubes in a crate the bottom of the crate is 8 inches by 12 inches. The volume of the crate is 768 cu

Karo-lina-s [1.5K]

Answer:

12 cubes can fit in the create.

Step-by-step explanation:

We know that the volume of a the crate is 768 in³, and the definition of the volume is:

$V=A*h$

Where:

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A is the area (A=8*12 in²)
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So $h=\frac{V}{A}=\frac{768}{12*8}=8 in$

Now, we know that the storage cube has a length of 4 in so we have a volume equal to 64 in³. Therefore we just need to divide 768 in³ by 64 in³ it is 12.

Finally, 12 cubes can fit in the create.

I hope it helps you!

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