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2 years ago

How to make friends :)

Mathematics

2 answers:

melamori03 [73]2 years ago

8 0

Answer: talk to people

Step-by-step explanation: be social. Don’t be afraid to step out of your comfort zone

densk [106]2 years ago

6 0

Answer:

you ask them and be nice

Step-by-step explanation:

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How long will it take a person to double $2000 at a 6% interest rate, compounded annually?

aleksandr82 [10.1K]

Well you would do 6% times 2000 (.06 *2000) 120

5 0

3 years ago

Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your

lilavasa [31]

We have the equation:

$y=a\cdot b^x$

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

$\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}$

Now, we use the point (2, 108/25) to calcualte b:

$\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}$

Then, we can write the equation as:

$y=3\cdot(\frac{6}{5})^x$

5 0

10 months ago

A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any

lord [1]

Answer:

$\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

Step-by-step explanation:

Given:

Focus = (-5,-4)
Directrix = -6

To find:

Parabola Equation

Locus of Parabola (Upward/Downward)

$\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}$

Where:

(a,b) = focus
c = directrix

Hence:

$\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}$

Cancel square root by squaring both sides as we get:

$\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}$

Solve for y-term:

$\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

4 0

1 year ago

The length of three boards added together is 7.2 meters. The second board is twice the length of the first. The third board is t

Salsk061 [2.6K]

Answer:

Board 1 = 1.2m

Board 2 = 2.4m

Board 3 = 3.6m

Step-by-step explanation:

Board 1 = x

Board 2 = 2x

Board 3 = 3x
x + 2x + 3x = 6x

7.2 /6 = 1.2

Board 1 = 1.2

Board 2 = 2 (1.2) = 2.4

Board 3 = 3 (1.2) = 3.6

4 0

1 year ago

Explain how to factor when the leading coefficient is 1.

Ludmilka [50]

C but I could be wrong

7 0

3 years ago