Answer:
j(x) is an odd function
Step-by-step explanation:
We are given;
j(x) = 220/x³ and j(-x) = 220/(-x)³
Now,
when x = 1;
j(x) = 220/1³ = 220/1 = 220
j(-x) = 220/(-1)³ = 220/-1 = -220
When x = 2;
j(2) = 220/2³ = 220/8
j(-2) = 220/(-2)³ = -220/8
Now, Algebraically, function j would be even if and only if j(-x) = j(x) for all x in the domain of j. While j is odd if and only if j(-x) = -j(x) for all x in the domain of j.
From the values gotten, we can see that :j(-x) = -j(x). Thus, we can say that j(x) is an odd function.
Answer:
77
Step-by-step explanation:
180-103=77
Use the quadratic formula to find the solutions:<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a </span></span></span>Substitute the values:
<span><span>a=−1</span><span>a=-1</span></span>, <span><span>b=0</span><span>b=0</span></span>, and <span><span>c=40</span><span>c=40 </span></span> into the quadratic formula and solve for <span>x </span><span><span><span>0±<span>√<span><span>02</span>−4⋅<span>(−1⋅40)</span></span></span></span><span>2⋅−1</span></span><span><span>0±<span><span>02</span>-4⋅<span>(-1⋅40)</span></span></span><span>2⋅-1 </span></span></span>Simplify:
<span><span>x=±2<span>√10</span></span><span>x=±210 </span></span>The result can be shown in both exact and approximate form: <span><span>x=±2<span>√10</span></span><span>x=±210</span></span><span>x≈6.324555,−<span>6.324555
<em />I hope this helps. :)
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Answer:
yessir
Step-by-step explanation:
Answer:
<u>64 ivy stems</u>
Step-by-step explanation:
A wedding planner uses 72 ivy stems for 18 centerpieces.
for only need 16 centerpieces ⇒ she will use x ivy stems
Using the ratio and the proportional
ivy stems : centerpieces
72 : 18
x : 16
Solve for x
∴ x = 16 * 72/18 = 64 ivy stems
<u>So, she should us 64 ivy stems</u>