Since, she has already been working for two hours (120 minutes) and has budgeted only 6 hours (360 minutes) to create the centerpieces.
Since, each centerpiece takes 15 minutes to make, the time it takes her to make x centerpieces is given by 15x.
Therefore, the correct inequality representing the situation is given by 120 + 15x <span>≤ 360.</span>
Answer:
255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees
Step-by-step explanation:
<em> x₁ = - 1</em>
<em> x₂ = 2</em>
- Step-by-step explanation:
<em>2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0</em>
<em>2²ˣₓ2 - 9ₓ2ˣ + 4 = 0</em>
<em>2ˣ = n</em>
<em>2n² - 9n + 4 = 0</em>
<em>2n² - n - 8n + 4 = 0</em>
<em>n(2n - 1) - 4(2n - 1) = 0</em>
<em>(2n - 1)(n -4) = 0</em>
<em>2n - 1 = 0 => n₁ = 1/2</em>
<em>n - 4 = 0 => n₂ = 4</em>
<em />
<em>2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1</em>
<em>2ˣ = 4 => 2ˣ = 2² => x₂ = 2</em>
Answer:
40,779
Step-by-step explanation:
i took the k12 test
Answer:
180 is supplementary
90 is complementary
Step-by-step explanation:
To find the answer subtract it so 180-72=108 and to check 108 + 72 = 180.
Hope this helps