Answer:
y-intercept (0,1)
multiplicative rate of change: b
Step-by-step explanation:
If a table represents an exponential function of the form 
, then the y-value that corresponds to x=0 is 1.
In other words, the y-intercept (0,1) must be present in the table.
Also the ratio of a subsequent y-value to the previous y-value should give a value of b.
In other words the multiplicative rate of change from the table must be equal to b.
Given a quadratic function
y = 4x² - 19x - 5
or i will write it as
4x² - 19x - 5 = y
Zero of the function is when y have the value of zero.
So the quadratic equation will be
4x² - 19x - 5 = y
4x² - 19x - 5 = 0
Now make the equation to intercept form by factorization
4x² - 19x - 5 = 0
(4x + 1)(x - 5) = 0 (this is intercept form)
Solution 1
4x + 1 = 0
4x = -1
x = -1/4
Solution 2
x - 5 = 0
x = 5
SUMMARY
-1/4 and 5 are zero function of f(x) = 4x² - 19x - 5
Answer:
Total number of arrangements = 1,663,200
Step-by-step explanation:
Given:
11 - letter
FIRECRACKER
F = 1
I = 1
R = 3
E = 2
C = 2
A =1
K = 1
Find:
Total number of arrangements = ?
Computation:
Note: Repeated letter will be avoid.
Total number of arrangements = 1,663,200
The rotation of the gears in he mesh involves a circular motion
The second gear has 2 teeth
<h3>How to determine the number of teeth?</h3>
The given parameter can be represented using the following ratio:
Ratio = Teeth : Revolution
So, we have:
23 : 60 = Teeth : 5
Express as fraction
23/60 = Teeth/5
Multiply both sides by 5
Teeth = 5*23/60
Evaluate the product
Teeth = 2
Hence, the second gear has 2 teeth
Read more about rotation at:
brainly.com/question/4289712
