WILL MAKE BRAINLIEST!!
2 answers:
Answer:
(a) Jun's work was correct as far as it went, but she didn't go far enough.
(b) (1, 5) and (-4, 30)
Step-by-step explanation:
y = x² + 10x – 6
y = 7x – 2
(a) Jun’s solution:
y = x² + 10x – 6
y = 7x – 2
x² + 10x – 6 = 7x – 2
x² + 3x – 4 = 0
(x – 1)(x + 4) = 0
x = 1 or x = -4
Jun's work was correct <em>to this point</em>, but <em>she didn't go far enough</em>. She calculated the x-intercepts of the combined equation, not the values of x and y at which the two equations intersect.
Jun must calculate the value of y that corresponds to each value of x.
(b) The correct solution
Continue Jun's calculations
y = 7x -2 y = 7x - 2
Set x = 1 Set x = -4
y = 7 - 2 y = -28 -2
y = 5 y = -30
The correct solutions are (1, 5) and (-4, 30).
The Figure below shows the graphs of each function with the intersection points at (1, 5) and (-4, 30).
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Answer:
The expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.
Step-by-step explanation:
The data provided is:
Opinion
Front Footage For Undecided Against Total
Under 45 feet 12 4 4 20
45-120 feet 35 5 30 70
Over 120 feet 3 2 5 10
Total 50 11 39 100
The formula to compute the expected frequency is:
Compute the expected frequency for people against the project and who have over 120 feet of property foot frontage as follows:
Thus, the expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.
Answer:
a) 16.82 mg
b) 24 days
Step-by-step explanation:
Formula for exponential growth is given as:
Where A is the final population
is the initial population
b is the growth factor
c is the time taken for the growth 'b'
t is the amount of time
Here, We are given the following:
= 5 mg
b = 2 (Given because it doubles)
c = 4 days
a) A = ?
Using the formula:
b) Given
A = 320 mg
t = ?
Using the above formula again:
So, the answers are:
a) 16.82 mg
b) 24 days