Step-by-step explanation:
For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.
=> (-z)² - 4(z - 5)(5) = 0
=> z² - 20(z - 5) = 0
=> z² - 20z + 100 = 0
=> (z - 10)² = 0
Therefore z = 10.
Given function f(x) which is described by "<span>Dawn writes 800 pages in 80 days".
From this function we can notice that Dawn writes 0 pages in 0 days, (i.e. the initial point of the function is point (0, 0).
Recall that the slope, m, of a line passing through points:

and

is given by

Function f(x) passes through points (0, 0) and (80, 800).
Thus the slope of function f(x) is given by

Give function g(x), passing through points (2, -6) and (4, 12), the slope is given by

It can be seen that the slope of f(x) and the slope of g(x) are close.
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Answer:
x = - 4 and x = 9
Step-by-step explanation:
Given
x² - 36 = 5x ( subtract 5x from both sides )
x² - 5x - 36 = 0
Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (- 5)
The factors are - 9 and + 4, since
- 9 × 4 = - 36 and - 9 + 4 = - 5, thus
(x - 9)(x + 4) = 0
Equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x + 4 = 0 ⇒ x = - 4
8hrs = 480mins
6hrs = 360 mins
472/480 = 0.983...
0.983... x 360 = 354
D) 354
Answer:
54mph
Step-by-step explanation:
Answer:
= 54 miles per hour
Showing WorkThis is a fraction equal to
324 miles ÷ 6 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 6
324 miles
÷ 6
6 hours
÷ 6
=
54 miles
1 hour
=
54 miles
hour
= 54 miles per hour