The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
<h3>What inequality represents the figure</h3>
In accordance with the figure, we have an inequation of the form y ≥ f(x). Now we proceed to find the <em>quadratic</em> equation of the parabola:
f(x) = a · (x + 1) · (x - 9)
- 125 = a · (4 + 1) · (4 - 9)
- 125 = a · 5 · (- 5)
- 125 = - 25 · a
a = - 5
f(x) = 5 · (x + 1) · (x - 9)
f(x) = 5 · (x² - 8 · x - 9)
f(x) = 5 · x² - 40 · x - 45
The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
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1,200,354,226,320 divided by 666,222,346 is 1801.73216
Answer:
-7 is your answer
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.
4 + y = -3
Subtract 4 from both sides
4 (-4) + y = -3 (-4)
y = -3 - 4
y = -7
-7, or (D) is your answer
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Total distance walked by Tarik is 0.75 miles according to the given equation.
What is equation?
In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
Given that
The expression that represents the Tarik's distance is
=> f(x) = 3∣x−0.5∣
And also given that at 7.15 am he is some distance away from the store
Let Tarik is 'a' miles away from the store at 7.15 am
The time taken to walk 'a' miles = 7.15 - 7.00 = 15 minutes
As we know 60 minutes = 1 hr
=> 15 minutes = 15/60 = 0.25 hrs
The given expression to find the Distance is
f(x) = 3 ∣x − 0.5∣ where x is number of hours
At x = 0.25
f(0.25) = 3 |0.25 - 0.5|
= 3 |- 0.25|
= 0.75 miles
Therefore,Tarik is 0.75 miles away from the store.
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Slope of f(x)
Slope of g(x)
PART A)
The slopes of f(x) and g(x) are the same.
PART B)
The equation for line f(x)
y = 4x + b
-1 = 4(0) + b
-1 = b
y = 4x - 1
The function G(x) has a bigger y-intercept. The y-intercept of g(x) is 3, while the y-intercept of f(x) is -1.
