Answer:
When y = 15, x = -5.
Step-by-step explanation:
"y varies directly with x" signifies the linear relationship y = kx, where k is the constant of proportionality.
Substituting 6 for y and -2 for x into this equation yields the value of k:
6 = k(-2), or k = -6/2, or k = -3
Then the proportional relationship is y = -3x.
If y = 15, then we can write 15 = -3x, or x = -15/3, or x = -5.
When y = 15, x = -5.
Answer:
pentagon
Step-by-step explanation:
Answer:
p(x) + 10
Step-by-step explanation:
this is a little confusing, but they didnt give a specific number so i used x. hope this helps!
Answer:
a) a trapezoid
b) faces are "sides" so the answer is 6
Answer:
(a) 1024 ways
(b) 243 ways
Step-by-step explanation:
When answers are independent, the total number of ways all questions can be answered is the product of the number of ways each question can be answered.
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<h3>(a)</h3>
The first question can have one answer 4 ways. The second question can be answered 4 ways for each of the ways the first question was answered. That is, the two questions can be answered 4×4 = 16 ways. Similarly, each additional question multiplies the number of ways the questions can be answered by 4.
The 5 questions can be answered 4×4×4×4×4 = 4^5 = 1024 ways.
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<h3>(b)</h3>
There are 3 ways to answer the first question incorrectly. Each additional question can be answered incorrectly 3 ways for each of the ways previous questions were answered. The total number of ways all questions can be answered incorrectly is ...
3^5 = 243
A student can answer all questions wrong in 243 different ways.