Enter the correct answer in the box.What is the standard form of function f?
f(x) = 4(x + 6)^2+ 5
Substitute numerical values into the equation for a, b, and c.
F(x) = ax^2 + bx + c
Answers
The numerical values in the equation for a, b, and c will be 4, 48, and 149, respectively.
What is a function?
A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic function is given below.
f(x) = 4(x + 6)²+ 5
Convert the equation into a standard form. Then we have
f(x) = 4(x + 6)²+ 5
f(x) = 4(x² + 12x + 36)+ 5
f(x) = 4x² + 48x + 144 + 5
f(x) = 4x² + 48x + 149
The numerical values in the equation for a, b, and c will be 4, 48, and 149, respectively.
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Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:same as the one above me.
Related Questions
Will bought 24 juice boxes for $7.50. Which equation can be solved to find the amount each juice box cost?
32.2 - (-15.9) + 10 - 15.9 + 7.8
Name two different numbers that round to 9.2 when rounded to the nearest tenth????
In Smallville 2400 out of 20,000 workers are unemployed in big town 6750 out of 75,000 workers are unemployed which town has a larger unemployment problem why
A)
m∠RST + m∠TSU = 90°
B)
m∠RST + m∠TSU = 180°
C)
m∠RST = m∠TSU
D)
m∠RST = ½ × m∠TSU
Answers
Answer:
Option "A" is the correct answer to the following question.
Step-by-step explanation:
Complementary angles ⇒ If the sum of two angles becomes 90 degrees, we can say that this is a complementary pair of angles.
In the given situation angle ∠RST and ∠TSU are a pair of complementary angles.
∠RST + ∠TSU = 90° (Complementary angles)
So, we say that the option "A" is the correct answer.
Answer:
Option A
Step-by-step explanation: I took the test
The sequence above can be expressed
Answers
Answer:
12
Step by Step Explanation:
f(n+1) = 2f(n) + 10
a = 2, k = 10
a + k = 2 + 10 = 12
Answer:
12
Step-by-step explanation:
if I have understood the question correctly
f(n+1) = a*f(n) + k
using two consecutive values of the given sequence
500 = a*245 + k or it can be written as a*245+k -500 = 0
1010 = a*500+k or it can be written as a*500+k - 1010 = 0
therefore
a*245+k -500 = a*500+k - 1010
a*245-a*500 = -1010 + 500
-255a = -510 a=510/255=2
using this value in the original equation
500 = 2 *245 + k
k = 500 - 2 *245 = 10
a+k = 2+10 = 12
Answers
Ben can have 6 friends on his birthday party for given condition.
What is equation?
An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Ben wants to have his birthday at the bowling alley with a few of his friends, he can only spend $80, the bowling alley charges a flat fee of $45 for a private party and $5.50 per person for those rentals and unlimited bowling
Money left with Ben after alley charge = 80 - 45 = $35
Let the maximum number of friends he can invite be x,
Establishing the equation,
5.5x = 35
x = 35/5.5
x = 6.36 ≈ 6
Hence, Ben can invite only 6 friends.
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Answers
Tart & Sweet's total profit from April to June is -$2.
What is addition?
Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Tart & Sweet is a lemonade stand.
From the following chart,
In April month,
the stand has profit of -$8.
In May month,
the stand has profit of $2.
In June month,
the stand has profit of $4.
To find the total profit from April to June:
Add all the profits,
-8+2+4
= -8 + 6
= -2
That means, the loss of $2 or profit of -$2.
Therefore, the profit of lemonade stand is -$2.
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Answer:
-2
Step-by-step explanation:
well just add the blue which is 6 then add the red which is 8 then subtract them to get 2 and since negative is greater it will be -2
Answers
Both the values 0.83 and 83 / 100 are the same or equal to each other.
What are decimal and fraction numbers?
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.
Here 0.83 is the decimal form of the rational number 83 / 100. The magnitude of the value of both numbers is the same.
Therefore, both the values 0.83 and 83 / 100 are the same or equal to each other.
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Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
(10 points)
Answers
Answer:
Part A) The average rate of change of section A is 6 and the average rate of change of section B is 24
Part B) The average rate of change of Section B is 4 times greater than the average rate of change of Section A. see the explanation
Step-by-step explanation:
Part A) Find the average rate of change of each section
we know that
To find the average rate of change, we divide the change in the output value by the change in the input value
the average rate of change is equal to
In this problem we have
Section A
Substitute
Section B
Substitute
Part B) How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other
Divide the average rate of change section B by the average rate of change of Section B
so
The average rate of change of Section B is 4 times greater than the average rate of change of Section A.
One rate of change is greater than the other, because it is an exponential function and the slope grows bigger.