12/3 is 4 breaks 12x60 is 720mins at most with 4x20= 80 = 720-80=640/ 60 means we have 10.67 hours left 550/10.67= 51.55 mph
(2x^2-4x-3)(3x+1)
Expand
<span><span>(<span><span><span>2<span>x^2</span></span>+<span>−<span>4x</span></span></span>+<span>−3</span></span>)</span><span>(<span><span>3x</span>+1</span><span>)
Cross multiply
</span></span></span><span><span><span><span><span><span><span><span>(<span>2<span>x2</span></span>)</span><span>(<span>3x</span>)</span></span>+<span><span>(<span>2<span>x^2</span></span>)</span><span>(1)</span></span></span>+<span><span>(<span>−<span>4x</span></span>)</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−<span>4x</span></span>)</span><span>(1)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(1)
Simplify</span></span></span></span><span><span><span><span><span><span><span>6<span>x^3</span></span>+<span>2<span>x^2</span></span></span>−<span>12<span>x^2</span></span></span>−<span>4x</span></span>−<span>9x</span></span>−3
Simplify</span></span><span><span><span><span><span>6<span>x^3</span></span>−<span>10<span>x^2</span></span></span>−<span>13x</span></span>−3 is your answer</span></span>
Answer:
YES
Step-by-step explanation:
As x increases by 3 each time, y also increases by a steady number each time, which is 6. This means that x and y are in a proportional relationship with a 1:2 ratio.
Answer:
The z-score is -2
Step-by-step explanation:
Here, we are asked to calculate the z-score of the height.
Mathematically, we can calculate z-score by using the formula below;
z-score = (x-mean)/SD
According to this question, mean = 44cm and SD = 3cm with x here = 38cm
Plugging these values into the z-score equation, we have
z-score = (38-44)/3 = -6/3 = -2
