Answer:
2. 
3. 
Step-by-step explanation:
We add like terms together to simplify
2. 3x²-4x²= -x² -2x+5x= 3x 6+9= 15 all equal to -x²+3x+15
3. 2x²-3x²= -x² 6x-7x= -x 8+1=9 all equal to -x²-x+9
Answer:
A. 40x + 10y + 10z = $160
B. 8 Roses, 2 lilies and 2 irises
C.
1. 20x + 5y + 5z = $80
2. 4x + y + z = $16
3. 8x + 2y + 2z = $32
Step-by-step explanation:
Cost for each flower = $160/5 = $32
So we have $32 for each bouquet consisting of 12 flowers each.
Roses = x = $2.50 each
lilies = y = $4 each
irises = z = $2 each
8x + 2y + 2z = $32
8($2.50) + 2($4) + 2($2) = $32
$20 + $8 + $4 = $32
$32 = $32
a. Maximum budget is $160
40x + 10y + 10z = $160
40($2.50) + 10($4) + 10($2) = $160
$100 + $40 + $20 = $160
$160 = $160
b. From above
8x + 2y + 2z = $32
8 Roses, 2 lilies and 2 irises
c. No. There are other solutions If total cost is not limited
1. 20x + 5y + 5z
20($2.50) + 5($4) + 5($2)
$50 + $20 + $10
= $80
2. 4x + y + z
4($2.50) + $4 + $2
$10 + $4 + $2
= $16
3. 8x + 2y + 2z
8($2.50) + 2($4) + 2($2)
$20 + $8 + $4
= $32
Answer:
2n - 11
Step-by-step explanation:
Note there is a common difference d between consecutive terms of the sequence, that is
d = - 7 - (- 9) = - 5 - (- 7) = - 7 + 9 = - 5 + 7 = 2
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 9 and d = 2, thus
= - 9 + 2(n - 1) = - 9 + 2n - 2 = 2n - 11
The answer is C because you would move the decimal 7 places to the right to get 15,000,000.
Answer:
3,000 words
Step-by-step explanation:
we know that
Emilio cay type 850 words in 17 minutes
Remember that

so
using proportion
Find out how many words can Emilio type in 60 minutes (one hour)
Let
x ---> the number of words
