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liraira [26]
3 years ago
6

Which number for (a) would result in (x-1) being a factor of p(x)=3x^3+x^2+ax-1

Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

A)3

Step-by-step explanation:

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How many words of five letters can be created that start with the letter T, contain 2 other consonats and end with 2 vowels? Not
Jet001 [13]

If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are

\dbinom52=\dfrac{5!}{2!(5-2)!}=10

ways of picking the vowels, and

\dbinom{20}2=\dfrac{20!}{2!(20-2)!}=190

ways of picking the consonants.

We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is

4!\dbinom52\dbinom{20}2=\boxed{45,600}

Keep in mind that this means words like TRIES and TIRES are treated as different.

8 0
3 years ago
Graph the function.<br> y=-x-6 ifx&lt;-6<br> y = 2x + 12 if x&gt;-6
Naddik [55]

Answer:

  see attached

Step-by-step explanation:

For x < -6, the function has a slope of -1 and an x-intercept of -6.

For x > -6, the function has a slope of 2 and an x-intercept of -6.

The function given here is not defined at x=6, so there is a hole at (-6, 0).

7 0
3 years ago
I need this asap
erik [133]

Answer:

20

Step-by-step explanation:

The rectangle is 2 x 8.

2 + 2 + 8 + 8

8 0
3 years ago
ASAP PLEASE HELP!!!
Mariulka [41]

Z score = (x -mean) /  standard deviation.

For this problem X = 50 cm.

Z-score = (50 - 49.2) / 1.8

Z score = 0.8 / 1.8

Z score = 0.44

Look up 0.44 on a z-score table.

0.44 = 0.6700

0.67 x 100 = 67% will be 50 cm or longer.

8 0
3 years ago
2. Apple Strudle muffins
Liono4ka [1.6K]

Answer:

Since there are 14 people who will eat 2 muffins each, you will need to make 28 muffins. To get this many muffins you will have to multiply the recipe by 2 1/3. Multiply each ingredient by 2 1/3 to make enough muffins

Step-by-step explanation:

6 0
3 years ago
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