Answer:
5.190 < 5.195
Step-by-step explanation:
5.195 is bigger than 5.190, so 5.195>5.190
Answer: John's situation
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each situation.
John’s situation:
The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)
y =40-3x
As days pass by, John has less money (negative rate of change)
Judy's situation
The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)
y = x (20/2)
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:
See below
Step-by-step explanation:
You know that he spent 1/3 of his earnings, and then 1/4. After this, he has $28.90. You can write the equation like this:
1/4(x * 1/3) = $28.90.
If you need to solve it:
1/4 * 1/3x = 28.90
1/12x = 28.90
x = 346.80
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