The triangle on the left appears to be congruent with the triangle on the right. If this observation is actually valid, then x+7 = 2x-5. 12=x Yes, I realize that this doesn't match any of the answer choices, 'tho the 4th choice is the only one that contains "12." Would you please share the instructions for this problem.
reduce the index of the radical and exponent with 3, rhen you get your answer, 6
Answer:
Gale's Shipping Company Cost, y=$(3+5x)
Peeta's Shipping Cost, y=$(12+2x)
Step-by-step explanation:
Let the number of pounds being shipped=x
Gale's Shipping Company charges $3.00 plus an additional $5.00 per pound to ship a package.
Gale's Shipping Company Cost = $3.00 + ($5.00 X Number of Pounds)
Gale's Shipping Company Cost, y=$(3+5x)
Peeta's Shipping Company charges $12.00 plus an additional $2.00 per pound to ship a package.
Peeta's Shipping Cost = $12.00 + ($2.00 X Number of Pounds)
Peeta's Shipping Cost, y=$(12+2x)
Answer:
(1, 6)
(7, 0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0 = -0.5x² + 4x - 3.5
0 = x² - 8x + 7
0 = (x - 7)(x - 1)
x - 7 = 0 or x - 1 = 0
x = 1 or 7
x²-4x-5=0
The given equation is quadratic
So we can perform prime factorisation of it.
factors of -5, that add up to give -4 are -5 and 1
therefore replacing -4x by -5x+x
x²-5x+x-5=0
performing factoring by grouping,
(x²-5x)+(x-5)=0
x(x-5)+(x-5)=0
(x+1)(x-5)=0
x+1=0 and x-5=0
Answer is x=-1 and x=5
