Find the formula for an exponential function that passes through the two points given. (x, y) = (0, 4) and (x, y) = (3, 32)
Given:
The exponential function passes through two points (0,4) and (3,32).
To find:
The formula for the exponential function.
Solution:
The general form of an exponential function is
[tex]y=ab^x[/tex] ...(i)
where, a is initial value and b is growth factor.
The exponential function passes through two points (0,4) and (3,32). It means the function must be satisfy by these points.
Putting x=0 and y=4 in (i), we get
[tex]4=ab^0[/tex]
[tex]4=a(1)[/tex]
[tex]4=a[/tex]
Putting a=4, x=3 and y=32 in (ii), we get
[tex]32=4b^3[/tex]
Divide both sides by 4.
[tex]8=b^3[/tex]
Taking cube root on both sides.
[tex]2=b[/tex]
Putting a=4 and b=2 in (i), we get
[tex]y=4(2)^x[/tex]
Therefore, the required formula for the exponential function is [tex]y=4(2)^x[/tex].
expand 2 + 4 how do i do this
Answer:
6
Step-by-step explanation:
You could expand t to 1+1+1+1+1+1 which would give you 6.
Answer:
2+4=6
Step-by-step explanation:
PLS HELP! it’s question 12
Answer:
yes
Step-by-step explanation:
it is going by 5s.
Answer:
Yes. This is because if you plot the numbers on a ration table or see the graph points, you can see a pattern: you multiply by 5. The equation to solve this would be y=5x. Another reason why this is proportional is that the graph starts from the origin (0,0) This is the opposite for non-proportional relationships. Hope this helps! :)
Rewrite the following without an exponent.
Answer:
5/6
Step-by-step explanation:
You just need to turn the denominator and numerator's positions upside down.
The graph shows the volume of water in a sink x minutes after the faucet is turned on.
Part A
What is the slope of the line?
Slope =
Part B
Connor says that the graph shows that water is flowing at a rate of 2 gallons per minute. Is he correct?
Connor is correct because the water is flowing in at a rate which is about 2 gallons per minute.
Connor is not correct because the water is flowing in at a rate which is faster than 2 gallons per minute.
Connor is not correct because the water is flowing in at a rate which is slower than 2 gallons per minute.
Connor is correct because the rate of water flowing is less than the slope.
Answer:
Step-by-step explanation:
think of this as distance over time. the distance the water flowed is 2 gallons over 2 min so every 2 min 2 gallons of water has flowed i hope this helped alittle bit
Answer:
2/4
Step-by-step explanation:
It is the answer.
-1/4 x + 10=7 show work
-1/4x+10=7
-1/4x=7-10
-1/4x=-3
-12x=-1
x=1/12
what is 8/5 divided by 1/4
Emily and Andy each go to a hardware store to buy wire.The table shows the relationship between the cost and the length of wire.
a. Emily needs 22 feet of wire. How much will she spend on wire?
b.Andy needs 15 yards of wire.How much will he spend on wire?
Inches. PLEASE HELP ME
Answer:
For part A-Emily would spend $22.70 on 22 feet of wire. For part B- Andy would spend $2.30 for 15 yards of wire.
Step-by-step explanation:
The cost is going down 10 cents by the foot, so getting 22 feet into 264 inches then having 165 into 164 and going up by the ten ending the number in four. Same with the yards in feet then the feet into yards and going down by 10. Hope it helps and makes sense.
Point-slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8
Answer:
y-2=1/8(x+5)
Step-by-step explanation:
1. Perpendicular lines have opposite slopes. To get the new slope, take the slope of the first line and turn it to make it the opposite reciprocal.
Since it's -8, the opposite of it is 1/8.
2. Now, use point slope: y-y1=m(x-x1). Plug in the values of the ordered pair and the slope into the equation.
y-2=1/8(x+8)
And that's your answer
What is the order of how a bill becomes a law?
Evaluate the following expression. y + 9 when y = 12
Answer:
21
Step-by-step explanation:
y+9 = ?
y=12
12+9=21
Answer:
3
Step-by-step explanation:
Divide 64.5 by 0.015, leaving the answer in standard form
Answer:
4.3 *10^3
Step-by-step explanation:
what does 10+10 equal
Answer:
20 is the answer for the question
2 cm on a map is equal to 3 km in real life. If two points are 8 cm apart on the map, how far apart are they in real life?
Answer:
12km in real life.
Step-by-step explanation:
Please mark brainliest.
How many board feet of lumber would you have if you had 5 pieces of 4"x 2 points
4" X 8'?*
Answer:
6
Step-by-step explanation:
What is the domain of the line in inequality form?
+
-7 -6 -5 4 -3 -2 -1 0 1 2 3 4 5 6 7
b
6SX <-3
-3
6
-3
Od
Answer:
vtgggfdfhufjdbbrhenrvrhthrjt
Find the slope between (2, 5) and (7,3).
Answer:
-2/5
Step-by-step explanation:
y2-y1
-------- is -2/5 . after . u plug the 2 pairs
x2-x1
2x -3 = -7 please help
Answer:
2x - 3 = -7 (add 3 to both sides)
2x = -4 (divide each side by 2 to get x alone)
x = -2
Find the slope and y-intercept (solve for y) -4y+2x= -20
Help with number 5 show work and explanation
ASAP PLEASE!!!!!!
the half-life of radium-226 is about 1,590 years. How much of a 100mg sample will be left in 500 years
Aa Bb Cc Dd Ee Ff Gg Hh Ii Jj Kk Ll Mm Nn Oo Pp Qq Rr Ss Tt Uu Vv Ww Xx Yy Zz
I know the best answer ever (*says sarcastically*)
Triangle JKL, shown below, is translated 7 units to the right
then reflected across the x-axis.
у
+6
K
+51
4
J
VL
*3
*2
1
-6 -5 -4 -3 -2 -1 0
*1 2 3 4 5 6
1
2.
3
5 6
What will be the new coordinates of point J, after the
triangle has been transformed?
Answer:
dont known sorry
Step-by-step explanation:
Which equation can maya use to find how much of the project she painted in all
Answer:
D
Step-by-step explanation:
A line has a slope of 9 and passes through the point (4, 5). What is its equation in point-slope form?
Answer:
y - 5 = 9 (x-4)
Step-by-step explanation:
I need help, please
it is do tomorrow
Answer:
8) 21 milliliters
i am not completly sure but it is NOT the whole
9) .4 & 40%
7) 9670 feet
10) a) $7200 b)350,000
Step-by-step explanation:
cuz 35% of 60 is 21
cuz 120/300 is .4 and if you take 300 * .4 it equals 120
Please help me
Solve the inequality.
12 - }>8-23
Answer:
Letter D
Step-by-step explanation:
D KO PO SURE SORRY PO KUNG MALI ✌
What is 3(2+q)+15 simplified
Answer:
The Answer should be....
3q + 21
A local store has a puppy that weighs 88 ounces. How many pounds does the puppy weigh given that 1 pound = 16 ounces?
Divide 88 by 16
88/16 = 5.5
It weighs 5.5 pounds
Answer:
5.5
Step-by-step explanation:
if you divide 88 ounces by 16 it will give yout he answer of 5.5.
88/16 = 5.5
If the 3rd term of a geometric series is
-3 and the sum of the 4th term and the 5th term is –6, find the 7th term of the series.
Answer:
-3or-48
Step-by-step explanation:
in this question you will get two equation which will used to find common ratio and first term and finally you will find 7th
pls help in the next 2 mins!! 12/2*-5
Answer:
-30
Step-by-step explanation:
I dont have an explanation