The last one is the answer.
If the number is no less than 6, that means that it is not any smaller than 6.
That narrows the answer down to x > 6 and x >= 6. The difference between these two choices is that x>6 means that x cannot equal 6, while the last choice is greater than OR equal to 6.
Since we are looking for when the minimum value for x is 6, x >= 6 is the answer.
First, make it easy for yourself by putting like terms together
-7x+8x+5>3
then, combine like terms
-7x+8x=1x
now you have this
1x+5>3
hope this helps!
Answer: the costs would be the same if he orders 29 rose flowers.
Step-by-step explanation:
Let x represent the number of roses that Victor would order such that the cost will be the same with either flower shop.
Dayton Florist charges $3 per rose, plus $12 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is
3x + 12
Tammy's Flowers, in contrast, charges $2 per rose and $41 for the vase. This means that if he orders x rose flowers, the total amount that he would pay is 2x + 41
For the costs to be the same, the number of rose flowers that he orders would be
3x + 12 = 2x + 41
3x - 2x = 41 - 12
x = 29
First you can solve the triangle. complete the triangle my making the final side which would equal 12 because the top and bottom are bith 6. and the bottom is 12 then you do 1/2(12)(12) to find the area which would be 72. the area of the rectangle would be 18 so the total would be 90ft^2 when you add them together
Answer:
B
Step-by-step explanation:
given the 2 equations
y - 4x = 12 → (1)
2 - y = 2(x + 2)² → (2)
rearrange (1) expressing y in terms of x
y = 12 + 4x
Simplify (2) by expanding factor and substituting y = 12 + 4x
2 - (12 + 4x) = 2(x² + 4x + 4)
2 - 12 - 4x = 2x² + 8x + 8
- 10 - 4x = 2x² + 8x + 8 ← rearrange into standard form
add 10 + 4x to both sides
2x² + 12x + 18 = 0 ← in standard form
divide through by 2
x² + 6x + 9 = 0
(x + 3)(x + 3) = 0 ⇒ (x + 3)² = 0 ⇒ x = - 3
Point of intersection = (- 3, 0 ) → B
