Answer: the cost of one daylilies is $4
the cost of one ivy is $9
Step-by-step explanation:
Let x represent the cost of one daylilies.
Let y represent the cost of one ivy.
Nicole and Kim bought their supplies from the same store. Nicole spent $99 on 9 daylilies and 7 pots of ivy. This means that
9x + 7y = 99 - - - - - - - -1
Kim spent $144 on 9 daylilies and 12 pots of ivy. This means that
9x + 12y = 144 - - - - - - - - -2
We will eliminate x by subtracting equation 2 from equation 1, it becomes
- 5y = - 45
y = - 45/-5 = 9
Substituting y = 9 into equation 2, it becomes
9x + 12 × 9 = 144
9x + 108 = 144
9x = 144 - 108 = 36
x = 36/9 = 4
Answer:
(x+5)^2 = 1
Step-by-step explanation:
x^2+10x+24 = 0
Subtract 24 from each side
x^2+10x+24 -24 = 0-24
x^2+10x = -24
Take the coefficient of x
10
Divide by 2
10/2 =5
Square it
5^2 = 25
Add it to each side
x^2+10x+25 = -24+25
Take the coefficient divided by 2 inside the factor
(x+10/2) ^2 = -24+25
(x+5)^2 = 1
To find the seventh term of the geometric sequence, divide first the fifth term by the fourth term to obtain the common ratio. -40 divide by -8 is 5. Then, multiply a5 by the common ratio, 5 twice or a4 by 5 three times. Both solutions will give, an a7 equal to -1000. Thus, a7 is -1000.
An even number is a number that is divisible by 2.
This means that dividing this number by 2 yields no remainder (the remainder is zero).
The even numbers between 7 and 16 are:
8 as 8/2 = 4 and remainder is zero
10 as 10/2 = 5 and remainder is zero
12 as 12/2 = 6 and remainder is zero
14 as 14/2 = 7 and remainder is zero
There is a special kind of substitution which some books call it by comparison.
When the two equations are both
y=some function of x
y=some other function of x, then
we can substitute the second equation into the first giving
some function of x = some other function of x and start solving.
For example,
<span>y = –2x + 8
y = x – 1
substitute second into first
x-1=-2x+8
isolate x on left,
3x=9
x=3
second step is to substitute x=3 into second equation to get
y=x-1=3-1=2
Therefore the solution is (3,2)</span>