We have been given that Layana’s house is located at 
on a map. The store where she works is located at 
.
We are asked to find the distance from Layana’s home to the store
We will use distance formula to solve our given problem.
Let us convert our given coordinates in improper fractions.
Now we will use distance formula to solve our given problem.
Upon substituting coordinates of our given point in above formula, we will get:
Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.
Answer:
y = -x
Step-by-step explanation:
slope = change in y/change in x
slope = -1
Find the y-intercept
x value difference between (0,0) and (1,-1) = 1
if change in x = 1 then change in y = -1 so y-intercept = -1 + 1 = 0
y = -x + 0
Answer:
56
Step-by-step explanation:
The number of roses purchased will be; <em><u>12 roses</u></em>
The total cost of the bouquet is; <em><u>$51</u></em>
Let number of roses be x
For Summerfield florists;
At $1 per rose and $39 for the vase, cost is;
C = x + 39
For grayson's flowers;
At $3 per rose and $15 for the vase,total cost is;
C = 3x + 15
We are told when he orders a certain number of roses, the cost will be the same with each flower shop.
Thus;
x + 39 = 3x + 15
3x - x = 39 - 15
2x = 24
x = 24/2
x = 12
Total cost is;
C = 12 + 39
C = $51
Read more about cost functions at; brainly.com/question/19300938
Step-by-step explanation:
4x³ + 19x² + 29x + 14
= (4x³ + 7x²) + (12x² + 21x) + (8x + 14)
= x²(4x + 7) + 3x(4x + 7) + 2(4x + 7).
= (x² + 3x + 2)(4x + 7).
Hence 4x³ + 19x² + 29x + 14 divided by 4x + 7 is x² + 3x + 2 or (x + 1)(x + 2).
