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3 years ago

Which expression is equivalent to radical-80?

Mathematics

1 answer:

solong [7]3 years ago

8 0

√(-80) = √(4²×5(-1)) = 4√5 √(-1) = 4√5i.

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88 feet/second = 60 miles/hour. How many feet per second is 1 mile? (Hint: divide both side of the equation by the same amount.)

zalisa [80]

Answer:

1 mile/hour is equivalent to 1.47 feet/seconds

Step-by-step explanation:

Given

$88 ft/s= 60 miles/hr$

Required

Determine the equivalent of 1 mile/hour

$88\ ft/s= 60\ miles/hr$

Express 60 as 60 * 1

$88\ ft/s= 60 * 1\ mile/hr$

Divide both sides by 60

$\frac{88\ ft/s}{60}= \frac{60 * 1\ mile/hr}{60}$

$\frac{88\ ft/s}{60}= 1\ mile/hr$

Reorder

$1\ mile/hr = \frac{88\ ft/s}{60}$

Divide 88 by 60

$1\ mile/hr = 1.46666666667\ ft/s$

Approximate to 3 significant figures

$1\ mile/hr = 1.47\ ft/s$

Hence;

1 mile/hour is equivalent to 1.47 feet/seconds

8 0

3 years ago

Write in expanded form. 7,891

sdas [7]

Seven thousand, eight hundred and ninety one

7000+800+90+1

3 0

3 years ago

Select the correct description for the expression x+3/5

elena55 [62]

Answer:

the answer is A that's the answer

7 0

2 years ago

Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x))

sergejj [24]

Answer:

$\displaystyle a = \frac{1}{3} \text{ and } b = \frac{2}{3}$

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, f and g are inverses, then:

$\displaystyle f(g(x)) = g(f(x)) = x$

So, we can let j be the inverse function of h.

Function h is given by:

$\displaystyle h(x) = y = 3x-2$

Find its inverse. Flip variables:

$x = 3y - 2$

Solve for y. Add:

$\displaystyle x + 2 = 3y$

Hence:

$\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}$

Therefore, a = 1/3 and b = 2/3.

We can verify our solution:

$\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}$

And:

$\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}$

3 0

2 years ago

What is the answer key to GO MATH 6grade page 393

Lina20 [59]

Answer:

This website is not an answer key website. You ask a question and we respond. Write your question and ill reply. Thanks for the points.

Step-by-step explanation:

7 0

3 years ago