a. Answer: m = 2
<u>Step-by-step explanation:</u>
f(x) = x² - 4x + 1
f(m) = m² - 4m + 1 = -3
m² - 4m + 4 = 0
(m - 2)(m - 2) = 0
m = 2
***************************************************
b. Answer: k = 2 and k = 5
<u>Step-by-step explanation:</u>
f(x) = x² - 7x + 14
f(k) = k² - 7k + 14 = 4
k² - 7k + 10 = 0
(k - 2)(k - 5) = 0
k = 2 k = 5
Answer:
14.285714285714 %
Step-by-step explanation:
suppose the weekly payment is of x dollars
Then
Previous payment : $(x/40) per hour
New payment : $(x/35) per hour
Then
The percentage increase in the hourly rate of pay is :
We know that the volume of a sphere is:
V
=
4
3
π
r
3
where
r
=
10
2
=
5
ft
is the radius;
we need half of this, so we use:
V
2
=
2
3
π
r
3
=
261.8
ft
3
giving a total weight of water of:
W
=
261.8
⋅
62.4
=
16
,
336
pounds
Let x be the number of meters of a given number of inches. The equation that would be useful in the conversion is,
x = n / 39.37
where n is the number of inches. For 59 inches,
x = 59 in / 39.37
Thus, the number of meter is approximately equal to 1.499 meters.
Answer:
Step-by-step explanation:
3y+1+2y+8=ny+9
5y+9=ny+9
5y=ny
n=5
