Answers
You should first recognize the shape of the curve - it's an exponential function, so its equation takes the form [tex]y(x)=a\cdot b^{cx}[/tex] for some constants a, b, and c.
The curve lies above the x-axis, so a must be positive.
The curve is defined everywhere (there are no discontinuities), so b must be positive.
As you move left to right, the function is increasing, so c must also be positive. But to make things simpler, let's assume c = 1.
When x = 0, the curve passes through the point (0, 1). In our equation, we have
[tex]y(0) = a\cdot b^0 = a[/tex]
so it follows that a = 1.
When x = 1, the curve approximately passes through the point (1, 4); so
[tex]y(1) = b^1 = 4[/tex]
so b = 4.
Then the equation of the curve might be [tex]\boxed{y = 4^x}[/tex].
Related Questions
On a trip, a student drove 42 miles per hour for 3 hours and then drove 26 miles per hour for 5 hours. What is the student’s average rate of speed, in miles per hour, for the whole trip? *
1. 126 MPH
2. 32 MPH
3. 130 MPH
4. 8.5 MPH
Answers
Answer:
34 mph
Step-by-step explanation:
Average speed = total distance / total time
Total distance = ( 40 × 2 + 30 × 3 )
= 170 miles
Total time = 5 h
So, avg speed = 170/5 = 34 mph
convert 0.10606060606......... to a fraction
Answers
Answer:
7/66
Step-by-step explanation:
What is 1/3 - 1/7 = ?
Answers
Answer:
[tex]\frac{4}{21}[/tex]
Step-by-step explanation:
In order to find the answer you need to find the common denominator of the two fractions multiply the fractions to receive that common denominator and then subtract to find your answer.
[tex]\frac{1}{3} -\frac{1}{7}[/tex]
Find the common denominator:
[tex]CD=21[/tex]
[tex]1\times7=7[/tex]
[tex]3\times7=21[/tex]
[tex]=\frac{7}{21}[/tex]
[tex]1\times3=3[/tex]
[tex]7\times3=21[/tex]
[tex]=\frac{3}{21}[/tex]
[tex]\frac{7}{21} -\frac{3}{21}[/tex]
Subtract numerators
[tex]7-3=4[/tex]
[tex]=\frac{4}{21}[/tex]
Hope this helps.
Find the equation of the tangent line to the curve y=x sqrtx at point (4,8)
Y=?
Answers
Answer: I think y is 32 im not good at this tho
Step-by-step explanation:
Please help me understand
Answers
Answer:
C. $30Step-by-step explanation:
According to the first part of the equation, hourly pay is $25, up to 38 hours.
Overtime is paid over 38 hours.
Find the hourly pay for overtime, taking x = 39 and finding the difference with the total at x = 39 and x = 38, then we have the payment for one hour.
30(39 - 38) + 950 - 38*25 = 30 + 950 - 950 = 30Correct choice is C
A street sign is in the shape of an isosceles triangle that has a base of 6.5 inches bigger than either of the equal sides. If the perimeter of the triangle is 65 inches, what is the length of the equal sides?
Answers
Answer:
19.5
Step-by-step explanation:
side is 6.5 bigger, so minus the 6.5 from the total perimeter of 65 and divide by 3.
65- 6.5 = 58.5
58.5 ÷ 3 = 19.5
equal sides are 19.5
longer side is 19.5 + 6.5
Answer:
19.5 inches
Step-by-step explanation:
You can interpret this problem as x + x + (x + 6.5)=65, with x being the length of the equal sides.
Simplified, this equation becomes 3x+6.5=65.
Solving, this becomes 3x+6.5-6.5=65-6.5 which comes out as 3x=58.5. Next, we divide this equation by 3 on both sides, which then comes out to x=19.5. Therefore, the length of equal sides are 19.5.
Check: There are two equal sides, so 19.5+19.5. Since the base is 6.5 inches bigger than either of the equal sides, the base is equal to 19.5+6.5=26. Adding these values all together comes out to 19.5+19.5+26=65.
A cube has a volume of 27 cubic inches. What is the length of each edge of the cube?
Answers
Step-by-step explanation:
cube answer=3
?^3=27
3^3=27
Answer:
3x3x3
Step-by-step explanation:
Since volume is height times width times length, it would be 3x3x3=27. Hope this helps!
Evaluate each function for the given input values. For f (x)=2/3x+ 3, find f (x) when x= 9 and when x=-3
Answers
Answer:
Step-by-step explanation:
f(x) = 2/3 x + 3
x = 9
f(9) = 2/3 * 9 + 3 Divide 9 by 3
f(9) = 2 * 3 + 3 Combine 2 * 3
f(9) = 6 + 3 Combine
f(9) = 9 The answer is just a coincidence. The answer for the next one shouldn't be - 3
f(-3) = 2/3 *(-3) + 3 Divide 3 into - 3
f(-3) = 2*(-1) + 3
f(-3) = -2 + 3
f(-3) = 1
How was this done?
You should observe that whatever value you see on the left in the brackets, appears where the x is on the right. This is a very important concept. You should do your best to understand it because algebra is sort of based on it.
What is the value of v?
4/5 is a fraction
4/5 (v−7)=2
Answers
Answer:
v = 9.5
Step-by-step explanation:
[tex] \\ \tt \frac{4}{5} (v - 7) = 2[/tex]
[tex] \\ \tt \mapsto \frac{4(v - 7)}{5} = 2[/tex]
[tex] \\ \tt\mapsto \frac{4v - 28}{5} = 2[/tex]
[tex] \\ \tt \mapsto4v - 28 = 2 \times 5[/tex]
[tex] \\ \tt \mapsto4v - 28 = 10[/tex]
[tex] \\ \tt \mapsto4v = 10 + 28[/tex]
[tex] \\ \tt \mapsto \: v = \frac{38}{4} [/tex]
[tex] \\ \tt \mapsto \: v = 9\frac{2}{4} \: or \: 9.5 [/tex]
Overnight shipping cost is a function of package weight. The overnight shipping cost can be calculated using the function f(p)=2p+15, where p is pounds of weight, and f(p) is in dollars. What is the shipping cost for a package that weighs 3 pounds?
Answers
Answer:78
Step-by-step explanation:
100 POINTS!!! & Brainliest
A cat weighing 12.1lb needs insulin at 2.0 international units (IU)/kg. The insulin comes in a concentration of 10 IU/mL. How much insulin do you give the cat? Please show work!
Answers
Answer:
[tex]1 \: lb = 0.453 \: kg \: \\ first \: lb \: convert \: to \: kg \\ cat \: weight \: 12.1 \times 0.453 = 5.4813 \: kg \\ how \: much \: iu \: isulincat \: need \\ we \: must \: multiply\: the \: weight \: of \:cat \: to \: 2 \\ \\ 5.4813 \times 2 = 10.9626 \: iu[/tex]
good luck
When simplified what is the answers?
Answers
Answer:
-1
Step-by-step explanation:
1. To simplify this expression, let's go through the orders of operations:
|2 - 5| - (12 ÷ 4 - 1)^2|-3| - (12 ÷ 4 - 1)^23 - (12 ÷ 4 - 1)^23 - (3 - 1)^23 - (2)^23 - 4-1Therefore, the answer is -1.
A soda company had sales of 35,107 million in 2010 and $45,99 million in 2014. Use the Midpoint Formula to estimate the sales in 2012. that the sales followed a linear pattern
Answers
Answer:
40,550
Step-by-step explanation:
That is the mid point
Katy is older than Alex and Beth. Sarn is
younger than Alex and older than Beth.
Delores is older than Sam but younger than
Katy. Delores is Alex's older sister. If the
ages of these students are 14, 15, 16, 17,
and 18, who is 16 years old?
Answers
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answers
Answer:
Infinitely many solutions
Step-by-step explanation:
6x+18=2(3x+9)
6x+18=6x+18
Since both sides are equal to each other, then there are infinitely many solutions because no matter what x is, both sides will be equal to each other.
Answer:
infinite many solutions, (C)
Step-by-step explanation:
Once you distribute you get 6x+18 on both sides. Meaning that the answer is this has infinite many solutions.
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Help pls? Thank you! I suck at time......
Answers
Answer:
20 minutes after 3:00
Step-by-step explanation:
Answer:
The answer would be 20 minutes after 3:00
Solve for x.
(5x - 9)°
(2x + 21)°
A. 5
B. 10
C. 22
D. 24
Answers
Answer:
D. 24
Step-by-step explanation:
5x - 9 + 2x + 21 = 180
7x + 12 = 180
7x = 168
x = 24
Simplify Forty eight fourths 48/4
Answers
48 divided by 4 is 12:)
Step-by-step explanation:
48 divided by 4, is 12
or 12/1
A deep sea diver dives 26 feet from the surface of the ocean. He then ascends 7 feet. What interger represents the divers present location in the sea?
Answers
Answer:
-19
Step-by-step explanation:
Previous position in sea + change in position= current position
-26+7= -19
Hope this helps! :)
Answer:
It is -19
Step-by-step explanation:
Well, you would do this -26 + 7 because the diver dove 26 feet BELOW sea level, which is also -26. He then ascends 7 feet, which means he is coming UP. So -26 + 7 = -19.
Use the distributive property to write an expression that is equivelent to 6(10x + 7y).
6(10x + 7y) = _____ + _____
Answers
Answer:
60x + 42y
Step-by-step explanation:
60 x 10 = 60
7x6 = 42
what's the answer for this?
Answers
9514 1404 393
Answer:
x = (y +2)/3
Step-by-step explanation:
The flowchart is trying to help you see that you "undo" what is done to x, in reverse order.
x is first multiplied by 3, then -2 is added.
First, we want to undo the addition of -2, so we add the opposite of that to y:
y = 3x -2 ⇒ y +2 = 3x
Then we want to undo the multiplication by 3, so we divide by 3:
y +2 = 3x ⇒ (y +2)/3 = x
The solution for x is ...
x = (y +2)/3
_____
Additional comment
In your diagram, each box has the inverse operation of the one in the box above it. The inverse of subtracting 2 is adding 2. The inverse of multiplying by 3 is dividing by 3. The arrows connecting the boxes are intended to show you that these inverse operations occur in the reverse order of the original operations, as we described above. (The small box at bottom center might contain "3x".)
what is the relationship between the following two sequence? Sequence 1: 0,1,2,3,4,5 Sequence 2: 0,4,8,12,16, 20
Answers
Answer:
1: the number after is equal to the number before plus 1
2: the number after is equal to the number before plus 4
Step-by-step explanation:
giving brainlist
Select all the numbers that are Irrational.
2.35496...
5.4
1.329538...
4.77777...
multi choice*
Answers
Answer:
A,C,D
Step-by-step explanation:
Irrational number that keep going and never stop that DONT have a pattern
For example
1/3=0.3
It keeps going on BUT it repeats therefore its rational
Another example
The square root of 13 is 3.6055.......
it keeps going on BUT it doesn't have a pattern therefore its irratianal
What’s LCM of 49 and 63
Answers
Answer:
441
Step-by-step explanation:
URGENT HELP PLEASEE SBDHHDS
Answers
Answer:
17800
Step-by-step explanation:
a= (t-g)/-0.0035
(-32.3-30)/-0.0035 = 17800
A television set is 36 inches wide and has a diagonal length of 42 inches. To the nearest inch, how tall is the set?
9
13
22
55
Answers
55
I hope this helps :)
How much interest is earned on an account if...
Principal = $400
Rate = 8%
Time = 12 months
Answer: $ ---
Answers
Principal = $400
Rate = 8%
Time = 12 months
Answer:
$32 Interest but total amount after one year is $432
carry out the following subracting involving rational number 13/36-2/40
Answers
Answer:
14/45
Explanation:
Make the denominator of both fractions the same
13/36=130/360
2/40=18/360
130/360-18/360=112/360
112/360=14/45
The sum of 3 times a number and -2, added to 5 times the number
Answers
Answer:
3x + (5x -2)
Step-by-step explanation:
X is any number so 3 times a number is 3x. -2 plus 5 times a number is the same as 5 times a number minus 2. And the sum would be 3x + (5x - 2)
Suppose a supplier estimate that a new products will generate the following revenue stream. period. revenue year 0= 0 year 1=$62500 year 2 =$89 400 year 3=$ 136 200 year4 =$ 128300 year5=$ 112000 If the required rate of return is 11%, determine the value of all these cash flows at year 2.
Answers
Answer:
9834
Step-by-step explanation:
11*100*89400.