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3 years ago

What is the product of the two integer values for $x$ for which $|x^2 - 16|$ is a prime number?

Mathematics

1 answer:

Nana76 [90]3 years ago

8 0

Answer:

-9

Step-by-step explanation:

x² -16 = (x -4)(x +4)

This magnitude of this product can only be prime if one of the factors is ±1. Any other integer value of x will produce a composite number (or zero).

... For x-4 = ±1, x = 3 or 5

... For x+4 = ±1, x = -3 or -5

The values of x that are ±3 both give |x²-16| = 7, a prime.

The values of x that are ±5 both give |x²-16| = 9, not a prime.

The two values of x that are of interest are x=-3 and x=3. Their product is ...

... (-3)·(3) = -9

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There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to ren

Delicious77 [7]

Let x be the daily fee
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Subtract:
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4 years ago

Read 2 more answers

Find the length of STV in the figure.

o-na [289]

Answer: The length of STV is about 76.83 in.

Step-by-step explanation:

The length of an arc is given by :-

$l=\frac{\theta}{360^{\circ}}\times2\pi r$ , where r= radius of the cirle, $\theta$ is the central angke made by arc.

As per given , Radius of the circle : r= 20 in

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Then, Central angle of arc SCV = $360^{\circ}-140^{\circ}=220^{\circ}$

Then, the length of the arc STV =

$l=\frac{220^{\circ}}{360^{\circ}}\times2(\frac{22}{7}) (20)\\\\=\frac{11}{18}\times\frac{880}{7}\\\\=76.8253968254\approx76.83\text{ in.}$

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3 years ago

Khloe drove 204 miles in 4 hours. If she continued at the same rate, how long would

Minchanka [31]

Answer:

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Step-by-step explanation:

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3 years ago

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What is 800-5x divided by 6.5

MA_775_DIABLO [31]

Answer:10 over 13 x

Step-by-step explanation: convert the decimal number into a fraction 800-5x divided by 13 over 2

to divided by a fraction , multiply by the reciprocal of that fraction 800-5x x2 over 13

factor out 5 from the expression 5(160-x x2over 13) use the commutative property to reorder the terms 5(160-2over 13x) factor out 1 over 13 from the expression 5x 1 over 13x(2080-2x)factor out 2 from the expression 5x 1 over13 x2(1040-x)use the commutative property to recorder the terms 5*2x 1 over 13x (1040x) calculate the product 10 over 13x(1040-x) solution 10 over 13x (1040-x)

for simplify expression: covert the decimal number into a fraction 800-5x divided by 13 over 2 to divide by a fraction , multiply by the reciprocal of that fraction 800-5x x2 over 13 calculate the product 800- 10 over 13x

solution: 800-10 over 13x so your answer would still be

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3 years ago

What is the answer<br> Answer ASAP

vaieri [72.5K]

Step-by-step explanation:

-8.0-(-0.4+0.6)÷2

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use Bodmas method

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3 years ago