Which of these functions has the greater rate of change?
A) Function 1, because the slope is 5 and the slope of function 2 is 4.
B) Function 1, because the slope is 4 and the slope of function 2 is 2.
C) Function 2, because the slope is 7 and the slope of function 1 is 5.
D) Function 2, because the slope is 5 and the slope of function 1 is 4.
Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
Answer:
Answer is b
Step-by-step explanation:
How many books should Presley have ready if she plans to open 8 stalls and have 12 books in each box?
a) 520
b) 712
c) 820
d) 1,622
Answer:
I'm working during the same thing
Answer:
1/2 x^3 + 3.4y when x = 4 and y = 21/2(4)^3 + 3.4(2)1/2 (64) + 6.832 + 6.8 = 38.8
Step-by-step explanation:
-√63 x^7 - 4x√7x^5
Answer:
-21x^12
Step-by-step explanation:
To express the given expression in simplest radical form, let's simplify each term separately.
Starting with the first term, -√63x^7, we can simplify the square root of 63.
The prime factorization of 63 is 3 × 3 × 7. Since there is no perfect square factor, we can't simplify the square root any further. So, we have -√(3 × 3 × 7) x^7.
Now, let's move on to the second term, -4x√7x^5. We can simplify the square root of 7.
Since 7 is a prime number, there is no perfect square factor. So, we have -4x√7 x x^5.
Now, let's multiply the two terms together. Multiplying the numbers outside the radicals gives us -√(3 × 3 × 7) x^7 × -4x√7 x x^5.
Multiplying the x's together gives us x^7 x x^5 = x^(7+5) = x^12.
Multiplying the numbers under the radicals together gives us √(3 × 3 × 7) x √7 = √(3^2 x 7) x √7 = 3√7 x √7 = 3 x 7 = 21.
Combining these results, we have -21x^12.