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3 years ago

8

the width of a rectangle is 4 less than half the length. if l represents the length, wich equation could be used to find the wid

th, w?

1 answer:

torisob [31]3 years ago

7 0

$w=\dfrac{1}{2}l-4$

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Consider the function f(x) = x^3 - 7x^2 - 2x + 14

mars1129 [50]

Answer:

There are 3 zeros, which are:

$x=7,\:x=-\sqrt{2},\:x=\sqrt{2}$

Step-by-step explanation:

Given the function

$f\left(x\right)\:=\:x^3\:-\:7x^2\:-\:2x\:+\:14$

To get the zeros of $f(x)$ , set $y$ or $f(x) =0$

so

$0=x^3-7x^2-2x+14$

as

$x^3\:-\:7x^2\:-\:2x\:+\:14=\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)$

so

$\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)=0$

Using the zero factor principle:

$\mathrm{ \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

so

$x-7=0\quad \mathrm{or}\quad \:x+\sqrt{2}=0\quad \mathrm{or}\quad \:x-\sqrt{2}=0$

solving

$x-7=0$

$x=7$

$x+\sqrt{2}=0$

$x=-\sqrt{2}$

$x-\sqrt{2}=0$

$x=\sqrt{2}$

Therefore, there are 3 zeros, which are:

$x=7,\:x=-\sqrt{2},\:x=\sqrt{2}$

8 0

3 years ago

What is -24/-11 simplified?

Kisachek [45]

Answer:

2.18 repeating.

Step-by-step explanation:

So it will be 24/11 because the negatives cancel out each other. So the answer is 2.18 repeating.

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3 years ago

Read 2 more answers

. <br> Evaluate: 0.234 x 102.<br> 23.4<br> 23,400<br> 2.34<br> 234

aliina [53]

Answer:

The answer is 23.86 but ya gotta round up to 23.4 so its A

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3 years ago

Alex has 3/6 of a gallon of paint. He plans to use some of it. How much paint will he have remainng if he uses 2/3 of it?

Artyom0805 [142]

It would be 1/6 hope this helped : )

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3 years ago

If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?

Gemiola [76]

If 100 cats killed 100 mice in 100 days, you can say that each cat killed one mouse the day after the last cat. So, if four cats killed four mice, and we're going of off the same basis that each cat killed one mouse the day after the last cat, then the answer would be 4.

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3 years ago