Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
Answer:
She can buy 3 pairs for $9.00 with $2.00 extra.
Step-by-step explanation:
Answer: The answer would be 15
Step-by-step explanation:
Hope this helps.
3x+4y = 375
6x+ 4y= 600
-------------------
6x-3x = 600 - 375
3x=225
x=225:3
x=75 cents
3*x+4y= 375
3*75+4y=375
225 +4y = 375
4y=375-225
4y=150
y=150:4
y=37,5 cents
the price is 75+37,5=112,5 cents for one bag of potato chips and one candy bar
Answer:
Step-by-step explanation:
C= d*pi
49 x 2 = 98
98 x 3.14= 307.72
Since 308 is the closest to 307.72 it's the most accurate answer.
