Answer:
-- x intercept
-- y intercept
Step-by-step explanation:
Given
Required
Determine the x and y intercept
For x intercept.
Set
So, we have:
Collect Like Terms
Make x the subject
Hence, the x intercept is:
For the y intercept;
Set
So, we have:
Hence, the y intercept is:
Answer:
b =-6
Step-by-step explanation:
y= 2x^2 +bx+8
Put this in vertex form
2( x^2 + b/2 ) +8
2 ( x^2 + b/2 + b^2/4) +8 - 2(b^2/4)
2 ( x+ b/2) ^2 +8-b^/2
The x coordinate of the vertex is -b/2
The x coordinate from the graph is 3
3 = -b/2
-6 =b
Answer:
Note that
0.16666...is equivalent to 1/6
Step-by-step explanation:
We can use the sum of fractions to write out the decimal:
For this particular question, we can see that
0.16666...is the fraction 1/6, therefore
the given decimal
2.16666...=2+1/6=13/6
Answer:
Step-by-step explanation:
Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.
1) (2-6i)+(4+2i)
open the parenthesis
= 2-6i+4+2i
collect like terms
= 2+4-6i+2i
= 6-4i
2) (6+5i)(9-2i)
= 6(9)-6(2i)+9(5i)-5i(2i)
= 54-12i+45i-10i²
= 54+33i-10i²
In complex number i² = -1
= 54+33i-10(-1)
= 54+33i+10
= 54+10+33i
= 64+33i
3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i
= 2/3-9i*3+9i/3+9i
=2(3+9i)/(3-9i)(3+9i)
= 6+18i/9-27i+27i-81i²
= 6+18i/9-81(-1)
= 6+18i/9+81
= 6+18i/90
= 6/90 + 18i/90
= 1/15+1/5 i
4) For (3 − 5i)(7 − 2i)
open the parenthesis
= 3(7)-3(2i)-7(5i)-5i(-2i)
= 21-6i-35i+10i²
= 21-6i-35i+10(-1)
= 21-41i-10
= 11-41i
Answer: Each person had to pay $40
Step-by-step explanation:
435 + 15*3
435+45 = 480
480/12 = 40
Each person had to pay $40