Part 1 (or a if you prefer):
f(x) = 5^x
f(x) = 5^0 = 0
f(x) = 5^1 = 5
Use this formula to solve: f(b) - f(a)/b - a
5 - 0 / 1 - 0 = 5/1 = 5
--
f(x) = 5^2 = 25
f(x) = 5^3 = 125
125 - 25 / 3 - 2 = 100/1 = 100
Average rate of change:
Section A: 5
Section B: 100
Part 2 (or b if you prefer):
Section B is 20 times greater then A
This is because Section B is increasing in the equation. Thus, Section B is of greater value than Section A.
Hope this assists you and future students.
How to find the equation of a parabola given the vertex and one point?
To find the equation of a parabola given the vertex and one point, use the vertex form of a parabola equation: y = a(x - h)² + k.
Explanation:To find the equation of a parabola given the vertex and one point, you can use the vertex form of a parabola equation: y = a(x - h)² + k. Here's how:
Determine the values of h and k from the given vertex.Use the given point to substitute the values of x and y in the vertex form.Solve for a to find the equation of the parabola.For example, if the vertex is (2, 3) and the point is (4, 5), the equation of the parabola would be y = 1(x - 2)² + 3.
Learn more about Equation of a Parabola here:https://brainly.com/question/35546720
#SPJ12
Which is true about rigid transformations and circles?
a.a reflection of a circle does not conserve the circle's radius.
b.a circle is only carried onto itself after each one degree rotation.
c.a translation of a circle does not conserve the circle's circumference.
d.a circle's shape is preserved regardless of any rigid transformation?
A rigid transformation is defined to be one in which the pre-image of the object and its new image after the transformation both have the exact same size and shape. So the answer in this question is:
D. a circle's shape is preserved regardless of any rigid transformation
Answer: D. a circle shape is preserved regardless of any rigid transformation.
Step-by-step explanation:
In a shopping mall, shoppers who use a reward points card get a 10% discount on every transaction. If the average transaction is $450 for customers with these cards, and $500 for other customers, what happens to the expected value of a transaction?
Final answer:
The expected value of a transaction decreases by 10% for customers using a rewards points card, going from $500 to $450 per transaction as they receive a 10% discount.
Explanation:
The question pertains to the expected value of a transaction at a shopping mall considering different discounts for customers who use a rewards points card. The expected value takes into account the average (mean) value of transactions and the discounts applied to those transactions. With shoppers using the rewards card receiving a 10% discount, the average transaction value for these customers is $450, compared to $500 for those without the card.
If we calculate the expected value for a transaction without considering the card, it would simply be the average transaction amount of $500. However, when including the rewards card usage, we have to account for the discount. Therefore, the expected value for a transaction from a customer using the rewards card is 10% less than $500, which equals $450. This means the expected value for a transaction with the card has decreased by $50 compared to customers without the card.
To summarize the effect, use of the rewards card reduces the expected value of transactions for the business, given that a discount is provided. On the other hand, it incentivizes customers with savings, potentially increasing customer loyalty and the frequency of visits, which might offset the decrease in expected transaction value in a broader business strategy.
3 times the sum of 14 and a number is 57
what the equation to represent this
The sum of the measures of two interior angles of a triangle equals 150°. What is the measure of the third angle?
A.30°
B.40°
C.50°
D.60°
Which statements must be true?
Select each correct answer.
UW=VW
UV=UK
JK=2VW
UW=12KL
UV¯¯¯¯¯∥JL¯¯¯¯¯
The only correct statements in relation to the given triangle are;
JK = 2VW
UV ║ JL
1) UW = VW; This is not correct because we see that UW forms a parallel line to KV but there is nothing to show about it being equal to VW. 2) UV = UK; This is not correct because there is no sign of them being congruent to each other.3) JK = 2VW; We see that UKVW forms a rhombus. This means that parallel sides are equal. Thus; UK = VW.
Since UK is equal to UJ from the triangle, then;
2UK = JK
Since UK = VW, then; 2VW = JK. Thus, the statement is true.
4) UW = 12KL; This is not correct because UW = KV = KL/2 from the diagram.5) UV ║ JL; This statement is correct because from the diagram UV is a side of the parallelogram UVLW with UV parallel to WL since opposite sides of a parallelogram are equal.Read more at; https://brainly.com/question/7447576
A bakery offers a sale price of $3.40 for 3 muffins. What is the price per dozen? The price per dozen muffins is $
The average of your first three test grades is 78. what grade must you get on your fourth and final test to make your average 80?
What is the area of a section of pavement that is 20 ft wide and 50 yd long? give your answer in square feet?
Write as a sum of logarithms log 1/2 (abc)
Which plane represents the bottom of the rectangular prism above?
A) Plane DGE
B) Plane AHC
C) Plane FGH
D) Plane EDC
If a ray divides an angle into two complementary angles, then the original angle measures °
Answer:
The original angle measures [tex]90^{\circ}[/tex].
Step-by-step explanation:
We are asked to find the measure of original angle, when a ray divides an it into two complementary angles.
We know that two complementary angles add up-to 90 degree.
Therefore, the original angle is a right angle or the measure of original angle is [tex]90^{\circ}[/tex].
Three students out of a group of 10 seniors will be chosen to speak in front of the school. What is the probability that Ben, Mark, and Ty will be chosen
Joe was making mixed nuts. He used 2 1/4 pounds of peanuts and 3 1/5 pounds of cashews. How many pounds of mixed nuts did Joe make?
Answer:
the answer is B.
Step-by-step explanation:
Trust me
Write a polynomial function of least degree with zeroes 0 and - 2. write your answer using the variable x and in standard form with a leading coefficient of 1.
One way to find the total cost of a jacket for $55.80 with a sales tax of 2.7% is 55.80+0.027(55.80) write an equivalent expression to show another way to find the total cost
Final answer:
To find the total cost of a jacket with sales tax, you can either use the given expression or calculate the sales tax separately and add it to the original price.
Explanation:
To find the total cost of a jacket with a sales tax, you can use the expression 55.80 + 0.027(55.80) as mentioned in the question.
Another way to find the total cost is to calculate the sales tax first and then add it to the original price of the jacket. To do this, you need to multiply the original price of the jacket by the sales tax rate (2.7% or 0.027) and then add the result to the original price: 55.80 + (0.027 * 55.80).
1. Please express your answer in scientific notation.
(6.0 x 10^5) x (3.0 x 10^4) =
A. 18 x 10^20
B. 18 x 10^9
C. 1.8 x 10^20
D. 1.8 x 10^10
What is the degree of the polynomial 5pq2−3p6+5p6q3−6p3q5 ?
The degree of the given polynomial [tex]5pq^2-3p^6+5p^6q^3-6p^3q^5[/tex] is 9
Explanation :
The given polynomial is [tex]5pq^2-3p^6+5p^6q^3-6p^3q^5[/tex]
Degree of the polynomial is the highest exponent value of the terms . To find out highest exponent , we add the exponents of each term
[tex]5pq^2----> 1+2=3\\-3p^6--->6\\+5p^6q^3--->6+3=9\\-6p^3q^5---> 3+5=8[/tex]
From this we can see that the highest exponent is 9.
so the degree of the given polynomial is 9
Learn more : brainly.com/question/9179769
There are 184 students going on a field trip. there is 1 chaperone for four students. 50 students can fit on one bus how many busses with there be
184 / 4 = 46 chaperones needed
184 + 46 = 230 total people
230/50 = 4.6
5 busses are needed
A class consists of 6 girls and 10 boys. if a committee of 3 is chosen at random from the class, find the probability th
True or false A scalene triangle can be equilateral
Hence, The statement " A scalene triangle can be equilateral " is false .
What is scalene triangle?A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures. However, the sum of all the interior angles is always equal to 180 degrees.
According to the question
A scalene triangle can be equilateral
Now according to the definition of scalene triangle :
A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures.
Therefore ,
It cannot be equilateral .
Hence, The statement " A scalene triangle can be equilateral " is false .
To know more about scalene triangle here:
https://brainly.com/question/10651823
#SPJ2
what is 2340 divided by 53?
Simmon made 2/3 of a pound of weighed pizza. He distributed the pizza to 6 of his friends. What was the weight of the pizza that each friend gets?
Tanner walked a total of 8 kilometers by making 2 trips to school. How many trips will Tanner have to make in all to walk a total of 12 kilometers?
The total number of trips is x to walk a total of 12 kilometers is 3 trips if Tanner walked a total of 8 kilometers by making 2 trips to school.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Tanner walked a total of 8 kilometers by making 2 trips to school.
Let the total number of trips be x to walk a total of 12 kilometers.
8 km → 2 trips
12 km → x trips
8x = 24
x = 24/8
x = 3 trips
Thus, the total number of trips is x to walk a total of 12 kilometers is 3 trips if Tanner walked a total of 8 kilometers by making 2 trips to school.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ5
Mr. Mask suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 30% lower than $2075. What was the price the travel agent found? Explain and Show your work.
A. 12.2
B. 13.45
C. 16.87
D. 15.12
Mrs. Rodriquez has 24 students in her class. Ten of the student or boys. Jeff Claims that the ratio of boys to girls in the class must be 5:12. What is Jeff’s error and how can he correct it?
A. Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.
B. Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 14:10 or 7:5.
C. Jeff did not write the ratio in the correct order. He should Of written as 24:10.
D. Jeff did not write the ratio in the correct order. He should of written it as 12:5
What set of reflections would carry triangle ABC onto itself?
'triangle ABC on the coordinate plane with point A at 0, 2, point B at 2, 4, and point C at 3, 0.
x-axis, y=x, y-axis, x-axis
x-axis, y-axis, x-axis
y=x, x-axis, x-axis
y-axis, x-axis, y-axis, x-axis
What two numbers can you multiply to get 130?
PLEASE HELP!!
Which functions have graphs that are steeper than the graph of f(x)=−3x^2 ?
Select all correct answers.
A.)
k(x)=3x^2
B.)
j(x)=2x^2
C.)
g(x)=−4x^2
D.)
h(x)=−2x^2
E.)
m(x)=4x^2