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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Answer: 48 model cars
Step-by-step explanation: 1. You know that the ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 4:3.
2. Let's call the number of model cars that Jim owns is , therefore, you can solve the exercise as following:
3. Therefore, Jims owns 48 model cars.
Answer:
the answer is 511 I think
Step-by-step explanation:
percentage * your amount / 100
(70 * 730) / 100
Amount = 511
So percent means parts ouf of 100
x%=x/100
so marked up form original to new price
100%=original
marku=35%
new price=100+35=135%
new price=59.40
so therefor
59.40=135/100 of original price
'of' means mutiply
replace 'origional price' with x
59.40=135/100 times x
simplify 135/100 to 27/20
59.40=27/20 times x
mutiply both sides by 20/27 to clear fraction
1188/27=x
44=x
original price=$44
