<u><em>Answer:</em></u>The youngest age was 26.1843 years
<u><em>Explanation:</em></u><u>The equation that models the average income is:</u>
i = -425x² + 45500x - 650000
where:
i is the average income
x is the age
We are looking for the age at which the income was $250000.
<u>Therefore, we will substitute with i = 250000 in the above equation and solve for x as follows:</u>
250000 = -425x² + 45500x - 650000
425x² - 45500x + 650000 + 250000 = 0
425x² - 45500x + 900000 = 0
<u>The general form of the quadratic equation is:</u>
ax² + bx + c = 0
<u>By comparison:</u>
a = 425
b = -45500
c = 900000
<u>Substitute in the quadratic formula shown in the attached image to get the values of x.</u>
<u>We will find that:</u>
either x = 80.8744
or x = 26.1843
Since we are looking for
the younger age, therefore, our answer would be:
26.1843 years
Hope this helps :)
Answer:
f(4) = -129
Step-by-step explanation:
Substitute the value of x which is 4
f(x) = -2x4 + 6x3 - 3x + 11
f(4) = -2(4)4 + 6(4)3 - 3(4) + 11
f(4) = -2(256) + 6(64) - 12 + 11
f(4) = -512 + 384 - 1
f(4) = -128 - 1
f(4) = -129
Answer:
C
Step-by-step explanation:
perpendicular lines intersect at a 90 degree angle, meaning it is not answer choice A.
B is incorrect because perpendicular lines intersect, so they can not be parallel.
C is correct because parallel lines never intersect, so perpendicular lines can never be parallel to each other.
D is incorrect because perpendicular lines only intersect at one point and create four consistent right angles.
Answer:
x=1.816298 or x=−1.162524
Step-by-step explanation:
Step 1: Multiply both sides by x^2.
x2=x4−3x3+8x2−16
x2−(x4−3x3+8x2−16)=x4−3x3+8x2−16−(x4−3x3+8x2−16)(Subtract x^4-3x^3+8x^2-16 from both sides)
−x4+3x3−7x2+16=0
(Use quartic formula)
x=−1.162524,1.816298
Check answers. (Plug them in to make sure they work.)
x=1.816298(Works in original equation)
x=−1.162524(Works in original equation)
Answer:
The average rate of change is 1/4
Step-by-step explanation:
As you can see in the chart, for every four units rightward, the line goes up one unit. That means f(x) has an average rate of change of 1/4.