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Inga [223]
2 years ago
11

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

Mathematics
1 answer:
Allisa [31]2 years ago
3 0

Answer:

  y = 0.1(4^x)

Step-by-step explanation:

An exponential function can be written as ...

  y = a(b^x)

where 'a' is the y-intercept, and 'b' is the ratio of terms with consecutive x-values.

The table tells us a=0.1, and b=0.4/0.1 = 4. The equation is ...

  y = 0.1(4^x)

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If 20 is decreased to 18.6, the decrease is what percent of the original number?
Lady bird [3.3K]

Answer:

1.4

Step-by-step explanation:

10 decreased by 1.4 is 18.6

5 0
3 years ago
Solve the equation <br> -13/4 -x= 1/2x -1
ale4655 [162]

Answer:

x = 2 or 1/4

Step-by-step explanation:

-13/4 -x= 1/2x -1

Collect like terms

-13/4+1=1/2x+x

Using LCM

(-13+4)/4=(1+2x²)/2x

9/4=(1+2x²)/2x

Cross multiply

9(2x)=4(1+2x²)

18x=4+8x²

Turn into quadratic and solve

8x²-18x+4

Using formulae method

-b±(√b²-4ac)/2a

Where a=8, b= -18 and c=4

(-(-18)±(√(-18)²-4(8)(4))/2(8)

(18±(√324-128))/16

(18±√196)/16

(18±14)/16

(18+14)/16 or (18-14)/16

32/16 or 4/16

2 or 1/4

4 0
3 years ago
Read 2 more answers
An object is launched directly in the air at a speed of 48 feet per second from a platform located 12 feet above the ground. The
anastassius [24]

9514 1404 393

Answer:

  48 ft

Step-by-step explanation:

For the quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the given quadratic, which defines a parabola opening downward, the axis of symmetry defines the time at which the maximum height is reached.

  t = -48/(2(-16)) = 1.5

Then the maximum height is ...

  f(1.5) = (-16·1.5 +48)1.5 +12 = (24·1.5) +12

  f(1.5) = 48

The maximum height the object will reach is 48 feet.

6 0
2 years ago
Solving systems equations by elimination
pishuonlain [190]
I won't answer them all for you (don't want to cheat - need to learn something).
But for the first one given:

<span>-2x-9y=-25
-4x-9y=-23

you set up either x or y (which ever one you want to eliminate) so that one of them cancels.
So this one is easy - you just have to multiply an entire row by negative (doesn't matter which one) - so that the y's will be + and - 

Since they're both 9 and they're subracting NOW - you can eliminate the y value. Now add/subtract the x's. So it'd be -2 or 2 depending on how you eliminated y. Then add the number outside of the = sign. Now just solve for x. After that plug in whatever you got for x into both of the rows. Then find the y value.

Hopefully this wasn't confusing -- reply if it is and I will try to simplify. I can give you contact if you need help with the rest 

Good luck!</span>
3 0
2 years ago
O. How much money is 8% of $15.00?
g100num [7]

Answer: 1.2

Step-by-step explanation:  

To get 8% you have to do 8/100

that equals .08

Multiply .08 with 15 and it equals 1.2

7 0
2 years ago
Read 2 more answers
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