Balloons are $0.25 per piece, and rolls of crepe paper are $1.15. In result, your answer would be A.
Answer:
(- 1, 8 ) and (5, 2 )
Step-by-step explanation:
Given the 2 equations
y = - x + 7 → (1)
y = 0.5(x - 3)² → (2)
Substitute y = 0.5(x - 3)² into (1)
0.5(x - 3 )² = - x + 7 ← expand and simplify left side
0.5(x² - 6x + 9) = - x + 7 ( multiply both sides by 2 )
x² - 6x + 9 = - 2x + 14 ( subtract - 2x + 14 from both sides )
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = 1 + 7 = 8 ⇒ (- 1, 8 )
Answer:
Step-by-step explanation:
<u>Answer:</u>
D. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
<u>Step-by-step explanation:</u>
We are given that Urvi solved a fraction division problem using the rule “multiply by the reciprocal.”
The "multiply by the reciprocal” states that you take the reciprocal of the divisor (denominator) and multiply with the dividend (as it is).
But here we can see from the calculations made by Urvi that she took the reciprocal of the dividend and not the divisor.
Therefore, the correct answer option is D. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
3 because I said so and it is correct
