Hello! And thank you for your question!
First move all the terms to one side:
<span>x^<span><span>2</span><span></span></span></span>−4x−9−29=<span>0
</span>
Then simplify x^2−4x−9−29:
<span><span><span>x<span><span>^2</span><span></span></span></span>−4x−38=0</span><span>
Then use the quadratic formula:
x = 4 + 2</span>√42 over 2 , 4 - 2√42 over 2
Finally simplify:
x = 2 + √42, 2 - √42
Final Answer:
x = 2 + √42, 2 - √42
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Answer:
38°
Step-by-step explanation:
All triangles have a sum of 180°
180 - (119 + 23) = missing angle
180 - (142) = missing angle
38 = missing angle
So, the missing angle has a measurement of 38°
Answer:
Maggie typed at a slower rate.
Step-by-step explanation: Maggie typed slower because 32 words/65 seconds is .49 words per second or half a word per second whereas Hector is 25 words/45 seconds or .55 words per second.
Answer:
0.818
Step-by-step explanation:
Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them <em>with</em> <em>reposition, </em>because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.
We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).
We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have
We conclude that
Hence, the shipment will be accepted with probability 0.818
<em>I hope this helps you!</em>
Answer:
64
Step-by-step explanation:
x + 5(x + 2)
Distribute
x + 5x+10
Combine like terms
6x+10
Let x = 9
6(9) +10
54+10
64
