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3 years ago

What is the solution set to the equation 4x2 – 16 = 0?

Mathematics

2 answers:

kykrilka [37]3 years ago

6 0

Answer:

x = ± 2

Step-by-step explanation:

Given

4x² - 16 = 0 ( add 16 to both sides )

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take the square root of both sides )

x = ± $\sqrt{4}$ = ± 2

solutions are x = - 2, x = 2

Luda [366]3 years ago

4 0

Answer:

Step-by-step explanation:

add 16 to zero

4x2=16

Divide 4x by 2 and 16 by two

4x=8

divide 8 by 4

x=2

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That is four as a percent

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3 years ago

A ball is thrown upward with an initial velocity of 60 mph. it is thrown from a height of 5 feet. what is the maximum height it

natima [27]

Answer:

h = 61.25 m

Step-by-step explanation:

It is given that,

The initial velocity of the ball, v = 60 m/s

It is thrown from a height of 5 feet, $h_o=5\ ft$

We need to find the maximum height it reaches. The height reached by the projectile as a function of time t is given by :

$h=-16t^2+vt+h_0$

Putting all the values,

$h=-16t^2+60t+5$ .....(1)

For maximum height, put

$\dfrac{dh}{dt}=0\\\\\dfrac{-16t^2+60t+5}{dt}=0\\\\-32t+60=0\\\\t=\dfrac{-60}{-32}\\\\t=1.875\ s$

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$h=-16(1.875)^2+60(1.875)+5\\\\h=61.25\ m$

So, the maximum height reached by the ball is 61.25 m.

8 0

3 years ago

Identify the factors of x2 − 5x − 24. (x + 8)(x − 3) (x − 8)(x + 3) (x + 4)(x − 6) (x − 4)(x + 6)

Elza [17]

(x-8)(x+3) is the only factor

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3 years ago

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3 years ago

What to the tenth power can get you 300

OLEGan [10]

Answer:

1.7689 (rounded to 4 decimal places)

Step-by-step explanation:

Let the number we are seeking be "x", thus we can write the equation as:

$x^{10}=300$

Since we have raised "x" to the "10th power", to get "x" back again, we need to take 10th root. Same goes for right side, we take 10th root of 300. We will get our answer. The process shown below:

$x^{10}=300\\\sqrt[10]{x^{10}} =\sqrt[10]{300} \\x=\sqrt[10]{300} \\x=1.7689$

hence, 1.7689 raised to 10th power will give us 300

5 0

3 years ago