MATHEMATICS HIGH SCHOOL

Explain why the initial value of any function of the form f(x) = a(bx) is equal to a.

Answers

Answer 1
Answer:

When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.
Answer 2
Answer:

Answer:Sample Response: When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.

Step-by-step explanation:

Related Questions

a car travels 10 kilometers per hour faster than a truck .the car goes 600 kilometers in 5 hours less time than it takes thetruck to travel the same distance.find the rate of each vehicle in kilometers per hour​
Can some one help me with this
I really don't know can someone help me
What is 809 times 17 using standard algorithm? show your work
Which graph represents the solution to the system of inequalities?x + y ≤ 4y – x ≥ 1

7 find the value of the linear correlation coefficient r: the paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands). cost 9 number 85 2 3 52 55 4 68 2 5 67 86 83 9 10 73 a) 0.708 b) 0.246 c) -0.071 d) 0.235

Answers

The value of the linear correlation coefficient, r, as calculated using Microsoft excel is: 0.708,

The linear correlation coefficient, r, using Excel spreadsheet

Step1: Open Microsoft excel spreadsheet

Step2: Entre the cost of advertising on one column, and the number of products sold on another column.

Step3: Select a blank cell and input the formula: =CORREL(B3:B10, C3:C10)

Step4: Press "entre" to get the value of the linear correlation coefficient.

Therefore, the value of the linear correlation coefficient, r, as calculated using Microsoft excel is 0.708.

For such more questions about linear correlation coefficient:

brainly.com/question/17062103

#SPJ4

When you use the distance formula, you are calculating the length of the (fill in blank) of a right triangle

Answers

Answer:

We are calculating the Hypotenuse of a right triangle.

Step-by-step explanation:

Distance Formula:  When working on a coordinate plane, you can always find the distance between two points (or the length of a line segment) by creating a right triangle and using the Pythagorean Theorem. Draw a right triangle such that the distance between the two points is the hypotenuse.

Hence, When you use the distance formula, you are calculating the length of the Hypotenuse of a right triangle.

We could also see from the figure attached.
generally, if you have to use the distance formula, you are finding the hypotenuse.

Approximately how long is a leg of an isosceles right triangle that has a hypotenuse of length 14.14 cm? A. 3 cm B. 5 cm C. 7 cm D. 10 cm

Answers

According to the fact that isosceles right triangle with the hypotenuse of 14.14 cm its cathetus should be 9.998 cm, and if we round this number we will get 10 cm. Therefore, the answer is D. 10 cm.

Ty is right inches taller than his brother Reece if ty is 42 inches tall how tall is Reece. Write an equation using a variable r?

Answers

Mi llamos Bryson y tu ¿

Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.The domain of the function is .
The range of the function is all real numbers.
The vertex of the function is .
The function has two x-intercepts.
The function is increasing over the interval (, ∞).

Answers

Hello,

1: dom f=R
2: img f =R
3: 2x²-x-6=2(x²-2x/4+1/46)-6-1/8=2(x-1/4)²-49/8
Vertex=(1/4,-49,8)

4: roots are -3/2 and 2
2(x-1/4)²-49/8=1/8[(4x-1)²-49]=1/8*(4x+6)(4x-8)

5:
From the vertex to ∞
[-1/4 , ∞)

Answer: -1/4, infinity

Step-by-step explanation:

Rename the fraction as a percent. 1.) 5 1/10 =__?__%

Answers

first change 5 1/10 into a decimal, which is 5.10. multiply that by 100 and you get that 5 1/10 = 510%
This answer will be 510%
Other Questions
Solve: (they're fractions) 3/6x + 1/2=8/x+4/3 The answer is -9 but i dont know how to solve it. Work please or explanation why. Thanks.
Convert 18/5 to a mixed number
Write a compound inequality that represents the evelation range for each type of plant life
What is the equation of the line passing through the points (–5, –2) and (3, 14) in slope-intercept form?