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2 years ago

Find the equation of the exponential function represented by the table below : X Y

Mathematics

1 answer:

leva [86]2 years ago

5 0

Answer:

f(x) = 0.01 × 2^(x+1)

Step-by-step explanation:

0.02 = 0.01 × 2¹

0.04 = 0.01 × 2²

0.08 = 0.01 × 2³

0.16 = 0.01 × 2⁴

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A line includes the points (3,4)and (6,10). What is its equation in slope- intercept form

chubhunter [2.5K]

10-4=6. 6-3=3
6÷3 =2. Slope is positive and equals 2

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2 years ago

Please help quickk!!

Airida [17]

21 = 6

7 = 5

1 = 4

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2 years ago

can anybody help me with this problem 11/6 and 3 1/3 and i need to figure out if one is greater than or less than or equal to th

Anestetic [448]

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3 years ago

What are the ordered pairs of the

9966 [12]

Start by writing the system down, I will use $y$ to represent $f(x)$

$y=x^2-5x+3\wedge y=-3$

Substitute the fact that $y=-3$ into the first equation to get,

$-3=x^2-5x+3$

Simplify into a quadratic form ( $ax^2+bx+c=0$ ),

$x^2-5x+6=0$

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

$x^2+x(m+n)+mn=0$

which then must factor into

$(x+m)(x+n)=0$

And the solutions will be $m,n$ .

Clearly for small coefficients like ours $5,6$ , this is very easy to figure out. To get 5 and 6 we simply say that $m=3, n=2$ .

This fits the definition as $5=3+2$ and $6=2\cdot3$ .

So as mentioned, solutions will equal to $m=3, n=2$ but these are just x-values in the solution pairs of a form $(x,y)$ .

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are $(2,0)$ and $(3,0)$ .

Hope this helps :)

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2 years ago

Given the two points what is the slope of the line?<br> (4,2) (10.4)

zlopas [31]

$m = \frac{y2-y1}{x2-x1}\\ m=\frac{4-2}{10-4} \\m = \frac{2}{6} \\\\m=\frac{1}{3}$

Therefore, the slope of the line is 1/3. In case if you want the equation too.

$y=mx+b\\y=\frac{1}{3}x+b\\ 2=\frac{1}{3}(4)+b\\ 2=\frac{4}{3}+b\\ b=-\frac{4}{3}+2\\ b=-\frac{4}{3} +\frac{6}{3}\\ b=\frac{2}{3}$

Therefore, the equation is y=1/3x+2/3

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3 years ago