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zysi [14]
4 years ago
14

The typical exponential function, y = ax, has asymptote ________ and y-intercept ________.

Mathematics
2 answers:
ludmilkaskok [199]4 years ago
7 0

Answer: B) The typical exponential function, y = ax, has asymptote the x-axis and y-intercept x = 0.

Step-by-step explanation:

For the funcion y = a^x, the asymptote is the value that the function would never assum, but gets really close. In this case, there is no value for y = 0, becausey = a^x\\0 = a^x \\ln(0) = x.lna\\ln(0)is not defined! This way, asymptote is x-axis (y=0).

y-intercept ⇒ x=0, so

y=a^x\\y=a^0=1

This, way, the point (0,1)

alternative b

Marina86 [1]4 years ago
5 0
The typical exponential function, y = ax, has asymptote y = 0 and <span>y-intercept (0,1). The correct option among all the options that are given in the question is the second option or option "B". The other choices are incorrect and can be easily negated. I hope that this is the answer that has actually come to your help.</span>
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How do you write an equation of a line given y-intercept -8 and slope 3/4
Lostsunrise [7]

Answer:

y = \frac{3}{4} x-8

Step-by-step explanation:

You can us the equation y = m x + c to answer this question.

In ,

y = m x + c

m = slope

c = y - intercept

So, they have already given in the question that,

m = 3/4

c = (-8)

Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.

y = m x + c

y = 3/4x - 8

Hope this helps you.

Let me know if you have any other questions :-)

4 0
3 years ago
Read 2 more answers
Can someone help please !! I appreciate it
kkurt [141]
ANSWER
x=2
EXPLANATION
I’m smart don’t worry
7 0
3 years ago
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20 points!! I need help
zaharov [31]

Answer:

11.33 * 16.33 meters to the nearest hundredth.

Step-by-step explanation:

Let the width of the pool be x meters, then the length is x+5 meters.

The length of whole area = x + 5 + 2(3)  = x + 11 meters and the width is

x + 2(3) = x + 6 meters.

So we have the equation (x + 6)(x + 11) = 387.

x^2 + 17x + 66 = 387

x^2 + 17x - 321 = 0

x =  [-17 +/- sqrt (17^2 - 4*1*-321)] / 2

x = 11.33 meters

So the width is 11.3 m and the length is 16.33 meters.

4 0
3 years ago
For the function f(x)=ax^3+bx^2-5x+9, determine the values of a and b so that f(-1)=12 and f'(-1)=3
Alecsey [184]

If

<em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² - 5<em>x</em> + 9

then

<em>f '(x)</em> = 3<em>ax </em>² + 2<em>bx</em> - 5

Given that <em>f</em> (-1) = 12 and <em>f</em> '(-1) = 3, we get the system of equations

-<em>a</em> + <em>b</em> + 5 + 9 = 12

3<em>a</em> - 2<em>b</em> - 5 = 3

or

-<em>a</em> + <em>b</em> = -2

3<em>a</em> - 2<em>b</em> = 8

Multiply through the first equation by 2 and add it to the second one to eliminate <em>b</em> and solve for <em>a</em> :

2(-<em>a</em> + <em>b</em>) + (3<em>a</em> - 2<em>b</em>) = 2(-2) + 8

-2<em>a</em> + 2<em>b</em> + 3<em>a</em> - 2<em>b</em> = -4 + 8

<em>a</em> = 4

Substitute this into the first equation above to solve for <em>b</em> :

-4 + <em>b</em> = -2

<em>b</em> = 2

4 0
3 years ago
Ruth borrowed a book from the library. The library charged a fixed rental for the book and a late fee for every day the book was
Wewaii [24]

Answer:

The late fee per day for the book

Step-by-step explanation:

2 + .25x

The 2 is the fixed rental for the book

.25x is the late fee per day  where .25 is the charge per day and x is the number of days

6 0
3 years ago
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