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1 year ago

Answer these 4 for me please help me step by step

Mathematics

1 answer:

tangare [24]1 year ago

6 0

The equation we have is:

$\frac{8}{5}a=-6$

To solve for "a", we want to isolate it in one side.

For this. we can start by multiplying each side by 5. This will make the denominator to cancel out:

$\begin{gathered} 5\cdot\frac{8}{5}a=5\cdot(-6) \\ 8a=-30 \end{gathered}$

Now, we can divide both sides by 8, which will cancel the coefficient 8 multiplying "a":

$\begin{gathered} \frac{8a}{8}=-\frac{30}{8} \\ a=-\frac{15}{4} \end{gathered}$

And that is the answer to 4.

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3 years ago

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3 years ago

Evaluate using <br> Definite integrals

swat32

Since $[0,4]=[0,1]\cup(1,4]$ , we can rewrite the integral as

$\displaystyle \int_0^1f(t)\;dt + \int_1^4 f(t)\; dt$

Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:

$\displaystyle \int_0^1f(t)\;dt = \int_0^11-3t^2\;dt,\quad \int_1^4 f(t)\; dt = \int_1^4 2t\; dt$

Both integrals are quite immediate: you only need to use the power rule

$\displaystyle \int x^n\;dx=\dfrac{x^{n+1}}{n+1}$

to get

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Now we only need to evaluate the antiderivatives:

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So, the final answer is 15.

4 0

3 years ago

How do you solve -1x+20 is greater than -7+35

rusak2 [61]

$\huge\fbox{Hello~there!}$

Let's solve this inequality!

$\rm{-x+20>-7+35$

What can we do to solve this inequality? Well, first of all, we can add -7 and 35:

$\rm{-x+20>28$

Now, move 20 to the right, using the opposite operation:

$\rm{-x>28-20$

Subtract:

$\rm{-x>8$

Divide both sides by -1 to isolate x:

$\rm{x$ (Answer)

_____________

<em>Additional comment</em>

When we divide both sides of an inequality by a negative number, we flip the inequality sign.

____________

I hope you find it helpful.

Feel free to ask if you have any questions.

$\bf{-MistySparkles^**^*$

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BabaBlast [244]

12.5 is the correct answer

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3 years ago