4/x = x/9
36 = x²
6 = x
The geometric mean between 4 and 9 is 6
Answer: False
Answer:
the slope is:1 the y-intercept is:3
Step-by-step explanation:
Answer:
Total gallon of fuel used =
gallons
Step-by-step explanation:
Given -
The total distance travelled by car in one gallon of gas = 21 miles
Total distance travelled each day = 48 miles
Number of days days in a week in which Candice drive is 5 days
Total miles travelled per week =
= 240 miles
Total gallon of fuel used =
gallons
The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
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