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4 years ago

Which situation represents 25 x + 500 ≥ 50 x + 250?

Mathematics

1 answer:

inessss [21]4 years ago

4 0

Answer:

move 50x on to the other side then move 500 to the other side too so that it reads 25x-50x *sign*250-500

Step-by-step explanation:

-25x*sign*-250 divide both sides by 25so answer x*sign*100

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What would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2

allsm [11]

Answer:

a=3,b=5

Step-by-step explanation:

$\frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} }$

so as you got it:

$\frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5$

4 0

3 years ago

The line integral of (2x+9z) ds where the curve is given by the parametric equations x=t, y=t^2, z=t^3 for t between 0 and 1. Pl

Naya [18.7K]

Let r = (t,t^2,t^3)

Then r' = (1, 2t, 3t^2)

General Line integral is:
$\int_a^b f(r) |r'| dt$

The limits are 0 to 1
f(r) = 2x + 9z = 2t +9t^3
|r'| is magnitude of derivative vector $\sqrt{(x')^2 + (y')^2 + (z')^2}$

$\int_0^1 (2t+9t^3) \sqrt{1+4t^2 +9t^4} dt$

Fortunately, this simplifies nicely with a 'u' substitution.

Let u = 1+4t^2 +9t^4

du = 8t + 36t^3 dt

$\int_0^1 \frac{2t+9t^3}{8t+36t^3} \sqrt{u} du \\ \\ \int_0^1 \frac{2t+9t^3}{4(2t+9t^3)} \sqrt{u} du \\ \\ \frac{1}{4} \int_0^1 \sqrt{u} du$

After integrating using power rule, replace 'u' with function for 't' and evaluate limits:
$=\frac{1}{4} |_0^1 (\frac{2}{3}) (1+4t^2 +9t^4)^{3/2} \\ \\ =\frac{1}{6} (14^{3/2} - 1)$

7 0

3 years ago

The government taxes a manufacturer $0.20 for a bottle of soda. The manufacturer raises the wholesale price an additional $0.60

alukav5142 [94]

Answer: $0.95

Step-by-step explanation:

Hi, to answer this question we simply have to add all amounts raised by the government, the manufacturer, and the retailer.

Mathematically speaking:

$0.20+$0.60+$0.15 = $0.95

So, a consumer pays $0.95 more per bottle of soda.

Feel free to ask for more if needed or if you did not understand something.

8 0

4 years ago

(r^3+6r^2-21r-18) ÷ (r-3)<br><br> Show in Synthetic Division

Kipish [7]

Answer:

r² + 9r + 6

Step-by-step explanation:

+3| +1 +6 -21 -18

|<u> +3 +27 +18</u>

+1 +9 +6 0

Answer:

=1r² +9r + 6 + 0

=r² +9r + 6 (simplified)

Read on if you want to know how it was done.

To do synthetic division, you first need to get the constant of the divisor and change the sign.

Then list the coefficients of the dividend.

Drop the first coefficient.

Multiply it by the divisor, and write the answer under the next coefficient and add. Repeat till the end.

The answer should be one degree less, the original polynomial.

8 0

3 years ago

Read 2 more answers

What information does the standard form of a linear equation reveal about a line

Oxana [17]

Answer:

Look Below

Step-by-step explanation:

It reveals what type of slope it has. It reveals whether it is positive or negative. It tells when the line will cross the Y-Axis. This is just the groundwork of it but there is a whole list I think on what one equation can reveal about a line on a graph. Hope This Helps! If you find any fault in my answer please let me know! Have a good day!

3 0

3 years ago