Answer:
84
Step-by-step explanation:
Given a quadratic equation in standard form, ax² + bx + c = 0 : a ≠ 0
Then the discriminant is Δ = b² - 4ac
2k² = 10k - 2 ( subtract 10k - 2 from both sides )
2k² - 10k + 2 = 0 ← in standard form
with a = 2, b = - 10 and c = 2, thus
b² - 4ac = (- 10)² - (4 × 2 × 2) = 100 - 16 = 84
Answer:
-4.5k+3
Step-by-step explanation:
You use distributive property
1.5*-3k= -4.5
1.5*2= 3
A ratio<span> can easily be expressed as fractions or as a decimal.
A </span>rate<span> is a bit different than the </span>ratio.<span> It is a comparison of measurements that have different units, such as grams and cents.</span>
Answer:
Each orange costs 0.26 and each apple costs 0.32.
Step-by-step explanation:
12 oranges and 7 apples cost 5.36.
And the cost is 3.68 for 8 oranges and 5 apples.
If each orange costs x and each apple cost y then we have the equations
12x + 7y = 5.36 ..... (1) and
8x + 5y = 3.68 ........ (2)
Now, solving equations (1) and (2) we get,
15y - 14y = 3.68 × 3 - 5.36 × 2
⇒ y = 0.32
Now, from equation (2), we get 8x + 5 × 0.32 = 3.68
⇒ 8x = 2.08
⇒ x = 0.26
Therefore, each orange costs 0.26 and each apple costs 0.32. (Answer)