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Darya [45]
2 years ago
14

Which graph represents the function y=5x(1/3)^x

Mathematics
1 answer:
BARSIC [14]2 years ago
6 0

Answer:

Graph 2 (I've seen this question somewhere)

Step-by-step explanation:

Of all the options you were given, Graph 2 makes the most sense. Otherwise, if you weren't given options, then I should let you know that an exponential graph would represent that function (something that starts low, and slowly goes up infinitely).

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Write an equation in slope-intercept form for the graph shown. (1,0) (0,-2)
AlladinOne [14]

Answer:

y= 2x -2

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is they y-intercept

\textcolor{violet}{\text{\textcircled{1} Find the slope}}

\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }

slope =  \frac{0 - ( - 2)}{1 - 0}

slope =  \frac{0 + 2}{1}

slope= 2

\textcolor{violet}{\text{\textcircled{2} \text{Substitute value of slope into m}}}

y= 2x +c

\textcolor{violet}{\text{\textcircled{3} Find c}}

Given that the y-intercept occurs at (0, -2), c= -2.

\textcolor{violet}{\text{\textcircled{4} Substitute the value of c into the equation}}

y= 2x -2

4 0
2 years ago
1. What are the possible numbers of solutions for equations in the form ax = ? How about
hram777 [196]

Answer:

Step-by-step explanation:

as long as a and b are just numbers they can have infinitely many solutions.  Basically, take any number, you can multiply it by some other number and in return get another number you choose.  so if I want to multiply 3 by something to get literally any other number, I could.  The simplest way is to multiply by the real number n/3 where n s that number we want to get to.  Same if you add a b, you will just have to take that into account.  So we want ax + b to equal a number n?  make x be the number (n-b)/a  You just have to pick a number for a, b and n.

equations with just an x are known as linear, because theya re just a straight line.  maybe at an angle, but a straight line.  a quadratic is a "degree" above, which means it has an x^2.  Nothing higher, but it has to have an x^2.  It can have a plain old x as well.  so it is of the form ax^2 or ax^2 + bx or ax^2 + bx + c or even ax^2 + c.  needs that x^2 as the highest exponent a variable has.  also a cannot be 0 otherwise there won't be an x^2 and it'll just be linear again.

In relation to linear it is no longer straight, instead it has a single curve to it.  after x^2 they can have more than one curve, so for instance a "degree three" equation could have up to two curves.  degree three means the highest exponent on a variable is 3.  but it could also have just one as well, and this pattern continues.

So to summarize, the relation between linear and quadratic is the degree of the variable being a difference of 1 which in turn means a difference of one "curve"

5 0
3 years ago
85% of $24.80 is $____?
Ksivusya [100]

Answer: 21.08

Step-by-step explanation:

Turn 85 into a percent then multiply by 24.80.

0.85*24.80= 21.08

Hope this helps :)

3 0
3 years ago
Dividing polynomials. Help
lbvjy [14]

you can use long division to do this:-

a + 3 ) a^2 + 2a + 3

= a - 1 remainder 6 or you can write it as a - 1 + 6 / (a + 3)

4 0
3 years ago
Ana dives into a pool off of a springboard high dive. Her height (in meters above the water), x xx seconds after diving, is mode
vovikov84 [41]

Answer: Ana will hit the water after 3 seconds.

Step-by-step explanation:

The exercise gives you the following function which models Anna's height  above the water (in meters) after diving "x" seconds:

h(x)=-5(x+1)(x-3)

You can rewrite the function with h(x)=y:

y=-5(x+1)(x-3)

In order to calculate the number of seconds Ana will hit the water after diving, the procedure is:

- Substitute y=0 into the function:

 0=-5(x+1)(x-3)

- Solve for "x".

By the Zero Product Property, you know that if a* b = 0, then a=0 or b=0.

Then you get:

x=-1\ or\ x=3

- Choose the positive value (x=3)

Then, Ana will hit the water after 3 seconds.

6 0
4 years ago
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