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3 years ago

12

The moon is about 240,000 miles from Earth. What is this distance written as a whole number multiplied by a power of ten?

1 answer:

Svetach [21]3 years ago

6 0

It is 2.4 × 10^5. this is also known as scientific notation

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Given that f(x) = 19x2 + 152, solve the equation f(x) = 0

telo118 [61]

<em><u>Option A</u></em>

<em><u>The solution is:</u></em>

$x = \pm 2i \sqrt{2}$

<em><u>Solution:</u></em>

$f(x) = 19x^2+152$

We have to solve the equation f(x) = 0

Let f(x) = 0

$0=19x^2+152$

Solve the above equation

$19x^2 + 152 = 0$

$\mathrm{Subtract\:}152\mathrm{\:from\:both\:sides}\\\\19x^2+152-152=0-152\\\\Simplify\ the\ above\ equation\\\\19x^2 = -152\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19x^2}{19} = \frac{-152}{19}\\\\x^2 = -8$

Take square root on both sides

$x = \pm \sqrt{-8}\\\\x = \pm \sqrt{-1}\sqrt{8}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\x = \pm i\sqrt{8}\\\\x = \pm i \sqrt{2 \times 2 \times 2}\\\\x = \pm 2i\sqrt{2}$

Thus the solution is found

5 0

3 years ago

If function F is defined by f(x) = 3x^2 + 5, what is f(x-4)

shepuryov [24]

Answer:

The function f(x) when x=x-4 is $f(x-4)=3x^2-24x+53$ or $f(x-4)=3x(x-8)+53$

Step-by-step explanation:

Given function f is defined by $f(x)=3x^2+5$

Now to find the function f(x-4):

$f(x)=3x^2+5$

Put x=x-4 in the above function we get

$f(x-4)=3(x-4)^2+5$

$f(x-4)=3(x^2-2(x)(4)+4^2)+5$ (using the formula $(a-b)^2=a^2-2ab+b^2$ )

$f(x-4)=3(x^2-8x+16)+5$

$f(x-4)=3x^2-24x+48+5$ (adding the like terms)

$f(x-4)=3x^2-24x+53$

$f(x-4)=3x(x-8)+53$

Therefore $f(x-4)=3x^2-24x+53$ or $f(x-4)=3x(x-8)+53$

The function f(x) when x=x-4 is $f(x-4)=3x^2-24x+53$ or $f(x-4)=3x(x-8)+53$

4 0

3 years ago

Can someone please help me

natita [175]

Tricky one because they're asking for C not x.

2x + 2x + 6x = 180

10x = 180

x = 18

C = 2x = 36

Last one

4 0

4 years ago

What is1 /5 divided by 4

sweet [91]

1/5÷4
multiply by reciprocal
1/5×1/4
1/20

6 0

3 years ago

5x2.36 x+36 = 0<br> Which value of x is a solution to this equation

Ilya [14]

Answer:

x = -3.05

Step-by-step explanation:

(5×2.36)x + 36 = 0

11.8x + 36 = 0

(118/10) x + 36 = 0

118x + 360 = 0 × 10

118x = -360

x = -360/118

x = -180/59 ( -3.05)

3 0

3 years ago