Answer:
a = 5
Step-by-step explanation:
According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder
In this case, the remainder would be zero
So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0
So we have this as;
x + 2 = 0
x = -2
-2^3 -2(-2)^2 -2(a) + 6 = 0
-8-8-2a + 6 = 0
-16 + 2a + 6 = 0
2a -10 = 0
2a = 10
a = 10/2
a = 5
Answer:
4,000
Step-by-step explanation:
I= P*R*T/ 100
480= P*6*2/100
48000= 12P
Divide.
P= 4000
Answer:
1.27, -6.27 to the nearest hundredth,
or if you require it in exact form,
-2.5 + √14.25, -2.5 - √14.25.
Step-by-step explanation:
x^2 = -5x + 8
x^2 + 5x = 8
Competing the square:
(x + 2.5)^2 - 6.25 = 8
(x + 2.5) = 14.25
x + 2.5 = +/-√14.25
x = -2.5 + √14.25, -2.5 - √14.25
x = -2.5 + 3.77, -2.5 - 3.77
= 1.27, -6.27.
80 since he starts off with 38 stamps then gains 6 each month for 7 months (6x7=42) so 42+38=80
Answer:
4 hours it will take for them to be equal.
Step-by-step explanation:
every hour Umpt collects 4
every hour Yoy loses 1,
54 + 4 = 58 +4 = 62 + 4 = 66 + 4 = 70
74 - 1 = 73 - 1 = 72 - 1 = 71 - 1 = 70
