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Doss [256]
3 years ago
9

Write an exponential equation in the form y = abx whose graph passes through points (4,8) and (6,32)

Mathematics
2 answers:
Maslowich3 years ago
8 0
The general form of an exponential equation is given by:
y=abˣ
where:
a is the initial value and b is the growth factor.
From the points given (4,8) and (6,32), the growth factor will be:
b=(32)/(8)
b=32/8
b=4
hence
y=a4ˣ
the value a will be obtained by substituting the point (4,8) in the expression, thus
8=a4^4
8=256a
hence
a=8/256
a=1/32
hence the function will be:
y=1/32(4ˣ)
WITCHER [35]3 years ago
6 0

Answer:

y=\frac{1}{2}(2)^x

Step-by-step explanation:

The given equation is y=ab^x

It passes through the points (4, 8) and (6, 32). Hence, we have

8=ab^4.....(1)

32=ab^6.....(2)

Divide equation (2) by (1)

\frac{32}{8}=\frac{b^6}{b^4}\\\\4=b^2\\\\b=\pm2

For b = 2

8=a(2)^4\\\\8=16a\\\\a={1}{2}

For b = -2

8=a(-2)^4\\\\8=16a\\\\a={1}{2}

Thus, the values of a and b are

a= 1/2, b = 2 and a= 1/2, b=-2

Thus, the exponential equation is

y=\frac{1}{2}(2)^x

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Harman [31]

Answer:

1/4 +m = 2/3

Step-by-step explanation:

3 0
3 years ago
It takes the earth 24 h to complete a full rotation. It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full
Nastasia [14]
It takes Mercury <span>approximately 58 days, 15 h, and 30 min to complete a full rotation..

We are going to write the time not in days, hours and minutes, but only hours.

This means that we have to write 58 days as hours and 30 minutes as hours.



1 day is 24 hours, so 58 days are

58*24=(50+8)*(20+4)=50*20+50*4+8*20+8*4=1,000+200+160+32

=1,200+192=1,392  (hours)


60 minutes are 1 hour, so 30 minutes are 0.5 hours.



Thus


</span>58 days, 15 h, and 30 min are (1,392+15+0.5) hours = 1,407.5 hours



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6 0
4 years ago
8 and 8/9 - 5 and 1/11
bixtya [17]
The answer is 3 and 79/99
3 0
3 years ago
Read 2 more answers
Compute the value of the discriminant and give the number of real solutions of the quadratic equation. -9x to the second power-6
Step2247 [10]
Answer:
discriminant=0
Number of real solutions=1


Step-by-step explanation:

Given the equation:
-9x^2-6x-1=0
Let a: coefficient of x^2
Let b: coefficient of x
Let c: constant
a=-9
b=-6
c=-1
The formula of the discriminant is given by:
discriminant= b^2 - 4ac
discriminant= (-6)^2 - 4(-9)(-1)
= 36 - 36 = 0
We know that:
If discriminant<0 then the equation has no real root
If discriminant=0 the equation has one real root
If discriminant>0 the equation has 2 real roots

Here we got discriminant=0 so the quadratic equation has 1 real root.
8 0
2 years ago
Y = x – 10<br><br> 2x + y = 4
Nezavi [6.7K]
I hope this helps you



2x+x-10=4



3x=14



x=14/3



y=14/3-10



y=14-30/3



y=-16/3
7 0
4 years ago
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