Answer:
Step-by-step explanation:
Equation
3x + 9 + 2x = x - 2x - 3
Solution
Combine all the like terms.
3x+2x+9 = x - 2x - 3
5x + 9 = -x - 3 Add x to both sides of the equation
5x+x +9 = -x+x -3 Combine
6x + 9 = - 3 Subtract 9 from both sides of the equation
6x+9-9 = - 3-9 Combine
6x = -12 Divide both sides by 6
6x/6 = -12/6
x = - 2
Answer x = - 2
Answer:
x=165
Step-by-step explanation:
Multiply both sides by 15
15(x/15)=11*15
x=165
A+bi is a complex number
(3+2i)(a+bi)=17+7i
remember
i²=-1
so
expand and solve
a is the ral part
bi is the imaginary part
ok so
if Ac+Be=dc+fe where c=c and e=e then A=d and B=f
(3+2i)(a+bi)=17+7i
expand/distribute/FOIL
3a+2ai+3bi+2bi²=17+7i
3a+2bi+2ai+2bi=17+7i
3a-2b+2ai+2bi=17+7i
real parts are 3a-2b
imaginary is 2ai+2bi
so
3a-2b=17 and
2ai+2bi=7i
we need to solve
2nd equation, divide both sides by i
2a+2b=7
multiply by -1 and add to other equation
3a+2b=17
<u>-2a-2b=-7 +</u>
1a+0b=10
a=10
subsitue
2a+2b=7
2(10)+2b=7
20+2b=7
2b=-13
b=-13/2
the complex number is
10-(13/2)i or
10-6.5i
Answer:
Each cookie will have to be sold for at least $0.90 if the profit is to be made is more than $25.
Step-by-step explanation:
The amount spent on supplies is $20.
The number of cookies baked is = 50.
If the profit to be made is more than $25.00 .
Then we can safely say that all the cookies have to be sold for
= $20.00 + $25.00
= $45.00
Therefor the required inequality can be written as
50 x ≥ $45.00 ⇒ x ≥
⇒ x ≥ $0.90.
Therefore we can say that each cookie will have to be sold for at least $0.90 if the profit is to be made is more than $25.
Answer:
Step-by-step explanation:
a)y=-2x+8
y=4x-7
solution
b)y=x-4
y=3x-2
solution
c)x – 3y = -3
x – 3y = 6
no solution
d)3x +y = 3
6x + 2y = 6
infinite.