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Feliz [49]
3 years ago
10

In an exponential function like the one shown below, what does the a term and the b term

Mathematics
1 answer:
Ivenika [448]3 years ago
5 0
The duma a term is the x interest
You might be interested in
A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep
prohojiy [21]
The sketch of the parabola is attached below

We have the focus (a,b) = (2, -0.5)
The point P(x,y)
The directrix, c at y=-1.5

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; (2, -0.5) and (x,y).
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
\sqrt{ (x-a)^{2}+ (y-b)^{2} }

Step 2
Find the distance between the point P to the directrix c. It is a vertical distance between y and c, expressed as y-c

Step 3
The equation of parabola is then given as 
\sqrt{ (x-a)^{2}+ (y-b)^{2} }=y-c
(x-a)^{2}+ (y-b)^{2}= (y-c)^{2} ⇒ substituting a, b and c
(x-2)^{2}+ (y--0.5)^{2}  = (y--1.5)^{2}
(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}⇒Rearranging and making y the subject gives

y= \frac{ x^{2} }{2} -2x+1

7 0
3 years ago
I neeed heeellpp gooot 20 minutttteeessss leffttt​
max2010maxim [7]

Answer:

its A

Step-by-step explanation:

F is the midpoint of AA' because E.G. bisects AA'.

4 0
3 years ago
An initial of the $100 is now valuated at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05=
tangare [24]

Answer:

8 years approximately

The problem (I'm assuming is):

Solve 100e^{0.05t}=150.

I put a t in the problem where I suspected it in went.

Step-by-step explanation:

100e^{0.05t}=150

Divide both sides by 100:

e^{0.05t}=\frac{150}{100}

e^{0.05t}=1.5

Rewrite in logarithm form.

\ln(1.5)=0.05t

Divide both sides by 0.05:

\frac{\ln(1.5)}{0.05}=t

Put left hand side into calculator:

8.109 \approx t

t \approx 8.109

So about 8 years if I wrote down the equation correctly.

4 0
3 years ago
Read 2 more answers
A model for my number has 6 ones blocks, 2 hundreds blocks and 3 tens blocks what number am i?
Hatshy [7]
236

2 hundreds + 3 tens + 6 ones or
200 + 30 + 6
236
5 0
3 years ago
Rick bought a fan for his living room he was looking at it while he was installing it wondered to himself what the angle between
Nikitich [7]

Answer:

The angle between the two blades is 120 degree.

Step-by-step explanation:

number of blades = 3

The blades are equally spaced.

The total angle around a circle is 360 degree.

So, the angle between the two blades is given by

\theta =\frac{360}{n}\\\theta =\frac{360}{3} = 120^{o}

8 0
3 years ago
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