Answer:
Find the answers in the explanation
Step-by-step explanation:
The given function is
f(x)=475-15x
A.) To find f^-1 and explain what it represents in this situacions, let f(x) = y. That is,
Y = 475 - 15x
Interchange y and x and make y the subject of formula
X = 475 - 15y
-15y = x - 475
Y = 475/15 - x/15
Y = (475 - x) / 15
Therefore,
f^-1(x) = (475 - x) / 15
If the function depreciates the smartphone, then, the inverse function will appreciate it.
When will the deprecated value of smart phone be less than $100.00
Substitute 100 for f(x) and find x
100 = 475 - 15x
-15x = 100 - 475
-15x = - 375
X = 375/15
X = 25
Therefore, the deprecated value of smart phone be less than $100.00 in the next 26 months.
what does x represent in f^-1(x) =30?
X represent the number of months for the smartphone appreciations
What is the value of x?
Substitute the inverse function for 30 and make x the subject of formula in the equation
f^-1(x) = (475 - x) / 15
30 = (475 - x) / 15
Cross multiply
450 = 475 - x
X = 475 - 450
X = 25 months
Graph f(x) and f^-1 (x) on the same coordinate
Answer:
43°
Step-by-step explanation:
For triangle ABC:
A = C so all we need to do is to calculate the value of B
The measure of angle ABD is given as 17° so the measure of angle EBC must be 17° as well
Since DBE is an equilateral triangle angle is DBE = 60°
17 + 17 + 60 = 94 this is the measure of angle B
The sum of interior angles in a triangle is equal to 180
A + B + C = 180
A + C + 94 = 180
A + C = 86 since A = C we divide 86 by 2
C = 43°
If the discriminant, b² - 4ac is<u> positive</u>
<h3>How to complete the statement?</h3>
From the question, we have the following equation of discriminant
The discriminant (d) is calculated as
d = b² - 4ac
The solutions of a quadratic equation are dependent on the following conditions
- If d = 0, the quadratic equation has 1 real solution
- If d < 0, the quadratic equation has imaginary solutions
- If d > 0, the quadratic equation has 2 different real solutions
This means that "d > 0, the quadratic equation has 2 different real solutions" implies that the discriminant is positive
Hence, the complete statement is (b) positive
Read more about discriminant at
brainly.com/question/64103
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Answer:
False
Step-by-step explanation:
Well to solve for z we single it out, distribute, use the communicative property, and combine like terms.
42 = -7(z - 3)42 = -7(z - 3)
Distribute
42 = -7z + 21*42 = -7z + 21
42 = -7z + 882 = -7z + 21
-42 to both sides
-7z + 840 = -7z + 21
-21 to both sides
-7z + 819 = -7z
+7z to both sides
819 = 0
<em>Thus, </em>
<em>the given equation is false.</em>
<em>I hope this helps :)</em>
