Consider the standard form of an exponential function:
y = a (b)^x
1. How does changing the base number (inside the parentheses) change your graph? (10 points)
2. How does changing the number outside the parentheses change your graph? (10 points)
Problem 1
If 0 < b < 1, then we have exponential decay. The curve will decrease downhill as you move from left to right.
If b > 1, then we have exponential growth and the curve goes uphill as we move from left to right.
Examples: y = 2(0.5)^x is exponential decay while y = 2(1.2)^x represents exponential growth.
Note that the base b cannot be negative.
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Problem 2
Plug x = 0 into the general template given
y = a(b)^x
y = a(b)^0
y = a(1)
y = a
Plugging x = 0 leads to the output y = a
Therefore, the point (0,a) is on the curve. This is the y intercept. It's where the curve crosses the y axis. If you change the value of 'a', then you change the y intercept.
Examples:
y = 2(5)^x has y intercept 2y = 3(0.8)^x has y intercept 3R
70°
Q
o
S
141x-1
Solve for x. A 3 B 1 C 2 D 140
what's the answer for this question
Answers:
A) 125 cm^3C) 20*1000 + 6*100 + 7======================================
Explanations:
The cube has all sides the same length (even if the diagram may not look like it). The volume is V = length*width*height = 5*5*5 = 125 cubic cm. The answer is choice A.The number is 20,607. The "20 thousand" portion can be written into 20*1000. Effectively, we have 20 copies of "1000" being added, so we can shorthand that into multiplication. The same idea applies to 6*100 which represents 600. Overall we can say 20,607 = 20*1000+6*100+7. The answer is choice C.Identify the unlike terms in the expression:
3a + 11b + 30 + 4a + 3b
Answer: 7a+14b+30
How to: Combine like terms
Have a great day and stay safe ! sorry if im wrong
What is the meaning of backtracking?
Answer:
Retracing your steps
Step-by-step explanation:
Answer:
Backtracking is a general algorithm for finding all (or some) solutions to some computational problems, notably constraint satisfaction problems, that incrementally builds candidates to the solutions, and abandons a candidate ("backtracks") as soon as it determines that the candidate cannot possibly be completed to a valid solution.[1]
if that is not what you are looking for then the other option would be retracing your steps
Step-by-step explanation:
please help:
Question 3 of 10 Choose the function whose graph is given by: A. y = 2sec(2x) B. y= 2csc(z x) C. y= 2sec(3x) D. y = sec(2x) + 2
Answer is A y=2sec(2x)
The function whose graph is given by A y=2sec(2x)
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function having increasingly output for inputs greater than that value of x.
If the function crosses x axis at some point, then for polynomial functions, we have those as roots of the polynomial.
The function that we are given graphed has the point (0,2), this means whichever function f(x) it represents f(0) = 2.
Now, only the sec function has the property that;
y=2sec(2x)
The function whose graph is given by A y=2sec(2x)
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Draw the graph of y = 2x - 5 for -3[tex]\leq x\leq -5[/tex]
Answer and Step-by-step explanation:
I will be using Desmos to show you the graph.
So, draw your line from the equation, and then lightly shade the left and ride side. That middle side is where there is no solutions for -3 ≤ x ≤ -5 for y = 2x - 5.
The parts that are shaded have the solutions.
#teamtrees #PAW (Plant And Water)
can you please answer these four questions
the other answer is 6 8 /11
Answer:
First question: C. 20 7/12
Second question: B. 242
Third question: D. 4.8
Fourth Question: C. 2 5/18
Step-by-step explanation:
Answer:
20 7/12
Step-by-step explanation:
=6 1/2 + 4 2/3 + 9 5/12
=19 19/12
=19 + 1 7/12
=20 7/12
y =-x^2+6x-5
Explain how you can find the x-intercept
and show the work to find them
Step-by-step explanation:
y = -x²+6x-5
x-intercept => y= 0
-x²+6x-5=0
x²-6x+5=0
(x-5) (x-1) =0
x= 5 or x=1
(1, 0) and (5, 0)
Which of the following does (√e^2) simplify to, for any
nonnegative real number e?
Answer:
d is correct i think because (e^2)^1/2 is equal to e^2*1/2
By simplifying the given equation ([tex]$\sqrt{e}[/tex])² we get e. Therefore, the correct answer is option D. e.
What are non-negative real numbers?The set of positive real numbers which exist greater than 0 (zero) exists as the non-negative real numbers. The statement can be written as,
R ≥ 0
Which signifies the real numbers exist either positive or zero. The set will contain numbers like {0,1, 2, 3, 4, 5,…}.
Given: ([tex]$\sqrt{e}[/tex])²
Let, [tex]$\sqrt{e} = e^{1/2[/tex]
(√e)² = [tex]$e^{(1/2*2)[/tex]
Simplifying the above equation, we get
= e¹
= e
Therefore, the correct answer is option D. e
To learn more about nonnegative real numbers
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Item 3 Which measurement is equivalent to 1 kilometer? 10 meters 100 centimeters 1,000 meters 1,000 centimeters
Answer:
1,000 meters
Step-by-step explanation:
make a table where the constant rate of change is 6 inches for every foot
It should be noted that a table where the constant rate of change is 6 inches for every foot will be:
1 foot = 6 inches
2 foot = 12 inches.
3 feet = 18 inches.
4 feet = 24 inches
5 feet = 30 inches.
How to illustrate the information?It should be noted that an expression is used to show the relationship about the numbers given. In this case, it should be noted that there's a constant rate if 6 inches for every foot.
This means that there will be a difference of 6 inches for each foot.
Therefore, 1 foot = 6 inches
2 foot = 2 × 6 = 12 inches.
3 feet = 3 × 6 = 18 inches.
4 feet = 4 × 6 = 24 inches
5 feet = 5 × 6 = 3 inches.
This illustrates that that there is a constant relationship.
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For what values of c will the quadratic equation below have two real solutions.
8x^2 − 13x + c = 0
Enter the answer as an inequality with c rounded to the nearest one-hundredth.
Answer:
c > 5.28
Step-by-step explanation:
From the quadratic formula when the quantity under the square root sign, known as the determinant, is positive there will be two real solutions
b² - 4ac > 0
(-13)² - 4(8)c > 0
169 - 32c > 0
-32c > -169
c > 5.28125
Rounded
c > 5.28
The probability of Jan's school bus running late is 3/8. And 168 days of riding the bus how many times can Jan expected to be late
Answer:
Step-by-step explanation:
57=
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70% OFF!
The original price of a chandelier is $440. How much will Victoria pay if she buys it during the
sale?
Answer:
$132
Step-by-step explanation:
$440-440×0.70
=$132
Suppose Diana, an educational researcher at a local university, wants to test the impact of a new Spanish course that integrates cultural-immersion teaching techniques with standard teaching practices. She selects a simple random sample of 64 freshmen and divides them into 32 pairs, matched on IQ and high school GPA. She randomly selects one member of each pair to take the new course, while the other member in the pair takes the traditional course.
Next, Diana records the course grade, tallied on a scale from 0 to 4, for all sample members at the end of the semester, and she computes the difference in grades between the members in each matched pair by subtracting the traditional course grade from the new course grade. She wants to determine if the new Spanish course improves or weakens student performance. She runs a matched-pairs t-test to test the null hypothesis, H0:μ=0, against the alternative hypothesis, H1:μ≠0, where μ is the mean course grade difference for the student population.
The sample statistics for Diana's test are summarized in the table.
Variable description Sample mean Sample standard deviation Standard error estimate
traditional course grade x⎯⎯trad= 3.33496 strad=2.02198 SEtrad=0.33700
new course grade x⎯⎯new=3.45287 snew=2.11043 SEnew=0.35174
difference (new − traditional) x⎯⎯=0.11791 s=0.31452 SE=0.05242
Although Diana does not know the standard deviation of the underlying population of course grade differences, she assumes that the population is normally distributed because the sample data are symmetric, single-peaked, and contain no outliers.
Required:
Compute the t-statistic for Diana's matched-pairs t-test.
Answer:
89yuyyygvghhhhhhnnn76yyyyy
What is the inverse operation of the square root?
Answer:
The square root function is the inverse of the squaring function just as subtraction is the inverse of addition. To undo squaring, we take the square root. In general terms, if a is a positive real number, then the square root of a is a number that, when multiplied by itself, gives a.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
What is the relationship between the volumes of a cone and cylinder when they both have the same radius and height? a. the cylinder is 1/3 the volume of the cone b. they have the same volume c. the cone is 1/3 the volume if the cylinder. d. their volumes are not related at all
Answer:
When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.
Step-by-step explanation:
Find the next term of the sequence 2, 8, 32, ...
the next term of sequence is 128
Give an example of a physical entity that is not quantized, in that it is continuous and may have a continuous range of values.
Answer:
contrary wise the energy of unbound states is not quantized as the wave function is not subject to the previous boundary condition
10kg 20kg 24kg ?kg plz answer this for me
Answer:
27KG
Step-by-step explanation:
Mouse- M , Cat - C, Dog - D
M + C = 10 ----- (1)
M + D = 20 -------(2)
C + D = 24 --------(3)
(1) - (2) => C - D = -10 ---- (4)
(3) + (4) => 2C = 14
=> C = 7
Substitute C in (1) => M + 7 = 10
=> M = 3
Substitute M in (2) => 3 + D = 20
=> D = 17
Therefore C + M + D = 7 + 3 + 17 = 27KG
a- You roll a regular die (one dice). What is the probability of rolling a 4? SIMPLIFY,
IF NECESSARY.
Answer:
1/6th chance
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
there's only one 4 on a normal 1 to 6 die
One minus the product of four and a number z
Answer:
1-(4×z) is the expression
Answer:
1 - 4z
Feel free to mark this as brainliest :D
4. The price of a motorbike is Gh 1,500.00. How much do you save if you we given a discount of 15%
Answer:
GH 225.00
Step-by-step explanation:
15% of 1500
(15÷100) × 1500
0.15×1500
225
Devaughn is 15 years older than Sydney. The sum of their ages is 107. What is Sydney's age?
Answer:
The age of Sydney's is 46 and the age of Devaughn is 61
Step-by-step explanation:
Here;
Devaughn: 15yrs older that S..= 15+7= 22yrs old
sum of their age= 107
Now;
Sydney age= 107 - 100
7yrs old,,
On Monday the temperature was -5°F. How many degrees below zero was the temperature
The sidewalk tiles leading to the town library are shaped like regular hexagons. Which of the following describes a regular hexagon?
a figure with 6 congruent sides and 6 congruent angles
a figure with 6 sides and angles that are not congruent
a figure with 5 sides and 5 angles that are not congruent
a figure with 5 congruent sides and 5 congruent angles
Answer:
D
Step-by-step explanation:
hope its right =)
"The sidewalk tiles leading to the town library are shaped like regular hexegons. Which of the following describes a regular hexagon"
A. a figure with 6 congruent sides and 6 congruent angles
B. a fugure with 6 sides and angles that are not congruent
C. a figure with 5 sides and 5 angles that are not congruent
D. a figure with 5 congruent sides and 5 congruent angles
Answer: The answer is A
Explanation: A regular hexagon/normal hexegon always has 6 congruent sides and 6 congruent angles.
I hope this helped! :)
Need help quick with full work
Answer:
(x + 5) and (x -1)
Step-by-step explanation:
Given
The attached graph
Required
The [tex]factors[/tex] of the graph
The x [tex]values[/tex] are where the [tex]curve[/tex] [tex]touches[/tex] the x-axis
The first is at:
[tex]x = -5[/tex]
Add 5 to both sides
[tex]x +5= -5+5[/tex]
[tex]x +5= 0[/tex]
This implies that the first factor is: (x + 5)
The second is at:
[tex]x =1[/tex]
Subtract 1 from both sides
[tex]x - 1 = 1 - 1[/tex]
[tex]x - 1 = 0[/tex]
This implies that the other factor is: (x - 1)
Please help within 5 minutes!!
Answer:
F
Step-by-step explanation:
The square root of 10 is about equal to 3.16, F is closest to that.
Describe how the graph of g(x) x+5 -4G) -2 is related to the graph of the parent function f(x)
Answer:
I have no ideal dat is it okkkkkkk
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