All categories

3 years ago

What is the answer for this?

Mathematics

1 answer:

ra1l [238]3 years ago

3 0

Answer:

Proved

Step-by-step explanation:

Given

$(2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7$

Required

Prove

On the right hand side, we have:

$2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7$

Rewrite:

$2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7$

$6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7$

Apply law of indices

$6* 10^{2+5} = 3.5 * 10^7 + 2.5 * 10^7$

$6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7$

Express 6 as 3.5 + 2.5

$(3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7$

Open bracket

$3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7$

Proved

You might be interested in

How do I put this in slope intercept form y=-x/3 +4

konstantin123 [22]

Slope Intercept form is y=mx+b. They are already in that form. The x is in the numerator because the fractions multiply by x, so...
y=-1/3(x)+1 and y=1/2(x)-4
Hope this helps.

5 0

3 years ago

The total amount of money, m, earned by washing cars at a school fundraiser is proportional to the number of cars, c, washed at

vaieri [72.5K]

M=c•p

multiplying the prince by the number of cars washed will give you the total amount of money the school has raised

7 0

3 years ago

The polynomial p(x)=3x^3-20x^2+37x-20 has a known factor of (x-4). Rewrite p(x) as a product of linear factors. p(x) =

vesna_86 [32]

Answer:

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

Step-by-step explanation:

p(x) has degree 3

(x - 4) has degree 1

So p(x) can be rewritten as a polynomial of degree 2 multiplying (x-4)

$p(x) = (ax^{2} + bx + c)(x - 4)$

To find a, b and c, we have to divide p(x) by x - 4.

Finding a:

Dividing the first term of p(x) by x - 4.

$\frac{3x^{3}}{x - 4} = 3x^{2}$

So a = 3.

Now multiplying 3x² by, x - 4, we have:

$3x^{2}(x - 4) = 3x^{3} - 12x^{2}$

Subtracting p(x) from this:

$3x^{3} - 20x^{2} + 37x - 20 - (3x^{3} - 12x^{2}) = 3x^{3} - 20x^{2} + 37x - 20 - 3x^{3} + 12x^{2} = -8x^{2} + 37x - 20$

Finding b:

Dividing the first term, after the subtraction, by x - 4.

$\frac{-8x^{2}}{x - 4} = -8x$

So b = -8.

Multiplying -8x by x - 4, we have:

$-8x(x-4) = -8x^{2} + 32x$

Then

$-8x^{2} + 37x - 20 - (-8x^{2} + 32x) = -8x^{2} + 37x - 20 + 8x^{2} - 32x = 5x - 20$

Finding c:

$\frac{5x}{x - 4} = 5$

So c = 5.

Just to verify if the remainder is 0.

$5(x - 4) = 5x - 20$

$5x - 20 - (5x - 20) = 0$

Then:

$p(x) = (ax^{2} + bx + c)(x - 4)$

$p(x) = (3x^{2} - 8x + 5)(x - 4)$

7 0

3 years ago

How do you solve:<br><br> 6x + 2y = 6<br> 7x + 3y = 9

olya-2409 [2.1K]

Answer:

x = 0

y = 3

Step-by-step explanation:

6x + 2y = 6 | ×7 |

7x + 3y = 9 | ×6 |

42x + 14y = 42

42x + 18y = 54

____________--

-4y = -12

y = -12/-4

y = 3

6x + 2y = 6

6x + 2(3) = 6

6x + 6 = 6

6x = 6 - 6

6x = 0

x = 0/6

x = 0

4 0

3 years ago

Will the second showing be over by 6:30

const2013 [10]

Yes it will isnt that amazing now you can do more stuff.

3 0

3 years ago