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2 years ago

What’s the equation that relates x and y in each ordered pair of exponential function.

Mathematics

1 answer:

Rus_ich [418]2 years ago

6 0

Answer:

the ordered pairs are (-1,3/4), (0,3), (1,12), and (2,48)

an exponential function looks like this:

y=ab^x

substitute the x and y values

3/4=ab^(-1)

3/4=a/b

3=ab^0

3=a*1

3=a, so b=4

y=ab^x

y=3(4^x) is the equation that you want

if x=-1, then y=3/4

if x=0, then y=3

if x=1, then y=12

if x=2, then y=3*4^2=3*16=48

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PLEASE HELP

Neko [114]

Answer:

55.5 square feet

Step-by-step explanation:

so the dog house consists of 4 walls, two roof sections, and two triangle bits to make the roof pointy (I'm sure they have a name but I don't know what it is lol) Of the walls there would be 2 of the longer walls and 2 of the shorther ones. Knowing this we just have to add together the area of each part to find the total surface area.

So starting with the walls:

two of them are 4 feet by 2 feet.

The area of a rectangle is just length x width

so those two would have an area of 8 ft^2

and the other two are 3 feet by 2 feet so they would have an area of 6 ft^2

the roof sections are also rectangles with dimensions of 4 feet by 2.5 feet

4x2.5=10 so each side of the roof has a surface area of 10 ft^2

now the triangle parts have a base of 3 feet and a height of 2.5 feet

the formula for area of a triangle is base x height / 2

3x2.5=7.5

7.5/2= 3.75

now we add them together

8+8+6+6+10+10+3.75+3.75=55.5

so the total surface area is 55.5 square ft

8 0

3 years ago

How is 89 a prime number

ad-work [718]

Hello,

10*10=100>89
n=89 is prime if it not divisible by all prime less then its square root

0<89<100 ==>0<√89<10
The primes to test are 2,3,5,7.
89 does not end with a even digit ==> 89 is not divisible by 2
8+9=17 if not divisible by 3 ==>89 is not divisible by 3
89 does not end with 0 or 5 ==>89 is not divisible by 5

3*8+1*9=33 is not divisible by 7 ==>89 is not divisible by 7

So: 89 is prime.

4 0

3 years ago

How to get the x intercept y=(2x+3)(x-1)(x-4)

Papessa [141]

Well, to get the x intercept you have to substitute 0 for y and solve for x, and get rid of the parenthesis ( y=2x+3*x-1*x-4 ) unless you want three different x-intercepts. So if you do want those three intercepts, leave the parenthesis.

5 0

4 years ago

If simon makes the minimum monthly payment and makes no other charges, how many months will it be before he pays off the card? r

andre [41]

Dgisugdfhgydugdsgdsdf

3 0

4 years ago

What force would have been applied to the bus from t=16 s to t=21 s? Assume the mass of the bus was 50 kg.

Svetllana [295]

Applying Newton's Second Law, it is found that the force, in Newtons, is given by:

$F = 10[v(21) - v(16)]$