<span>
1.You first have to determine the relationship and the current unit and the target unit which it will be converted into....</span> <span>
2.In this case, feet to meters and seconds to minutes</span> <span>
3.Determine the conversion rate</span>
<span>4 <span>The time which is 2 mi / hr x 1 hr / 60 min = 0.3 mi/min</span></span><span>
</span><span>And that's your answer :)</span>
Answer
Let f(x) = ax + b
Then
f(x + 1) = a(x + 1) + b
= ax + a + b
Hence, a = 3, and a + b = 5, b = 2
f(-2) = 3(-2) + 2
= -6 + 2
= - 4
f(2x) = 3(2x ) + 2
= 6x + 2
<span>Find the equation of the line that passes through the points (3,-2) and (4,5).</span>
5-(-2)=7/ 4-3=1
So the slope is 7. Now plugin 7 for "m" and use one of the two points for x and y
5=7(4)*b
5=28*b
5-28=b
-23=b
So y=7x-23
Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
Answer:
the area of the mat = total area added minus the original area of the water color painting.
length of the mat is:
L = 21 in + 3 in + 3 in because 3 in is added to each side
L = 27 inwidth of the mat is:w = 11 in + 3 in + 3 inw = 17in
Area mat = (27 in x 17 in) - ( 21 in x 27 in)
area mat = 108 sq in is the area of the mat
