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3 years ago

If k is an integer and r = k2 + 3k + 9, which of the following statements about r must be true for all values of k?

Mathematics

1 answer:

Andru [333]3 years ago

8 0

9514 1404 393

Answer:

D. None

Step-by-step explanation:

If one of these is true for all values of k, we can see it for k=1.

r = 1² +3·1 +9 = 13

This value is not even, not divisible by 3, and not the square of an integer.

None of the offered statements about r is true.

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Step-by-step explanation:

since you didn’t put a y on there, I solved for v.

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3 years ago

A paint store sells exterior paint for $35.75 a gallon and paint rollers for $6.00 each. Write an equation in standard form for

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3 years ago

Nine out of ten students prefer math class over lunch. How many students do not prefer math if 200 students were asked

Nimfa-mama [501]

Answer:

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Step-by-step explanation:

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3 years ago

Evaluate -4a+8z if a=8 and z=3?

vladimir1956 [14]

Answer:

-8

Step-by-step explanation:

-4 x 8 = -32

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Hope this is right and helps!

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3 years ago

A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s

Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

$P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0$

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

$P_K=3P_T\\\\P_K-3P_T=0$

Finally, we know that the sum of probablities has to be 1, or 100%.

$P_Q+P_K+P_T=1$

We can solve this by sustitution:

$P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6$

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

$P_K+P_Q=0.6+0.2=0.8$

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4 years ago