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luda_lava [24]
3 years ago
11

1-4 I’ll give brainliest to first correct answer

Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

1. 10

2. 1250

3. 1

4. 12.5

Step-by-step explanation:

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Can you help me in rule? <br><br> I am doing it right?
forsale [732]
The rule would be ~y=4x+3~

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6 0
3 years ago
Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x &gt; 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

y' = \frac{-1}{x^2}. So evaluated at x_0 we get m = \frac{-1}{x_0^2}

Replacing the values in our previous findings we get that the y intercept is

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
Show that the binomial is a factor of the polynomial. Then factor the polynomial completely.
baherus [9]

The first thing that he has to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a " 1 " in front of the parentheses, to help them keep track of the minus sign. Here's what the subtraction looks like, when working horizontally/

4 0
3 years ago
PLEASE HELP !!!!
Bess [88]

Answer:

About 31 years

Step-by-step explanation:

Given data

Principal= $3500

Rate=  4.75%

Final amount= $15,000

Time=??

The expression for time on compound interest is

Calculate time, solve for t

t = ln(A/P) / r

substitute

Calculate time, solve for t

t = ln(15000/3500) / 0.0475

t= ln(4.2857)/ 0.0475

t= 1.4552/0.0475

t= 30.63 years

Hence it will take about 31 years

4 0
3 years ago
Solve for x<br> 9x= 1/2(20x-8)
LenKa [72]

Answer:

4

Step-by-step explanation:

9x=10x-4

x=4

3 0
3 years ago
Read 2 more answers
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