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babunello [35]
3 years ago
9

What is the remainder when 3 is synthetically divided into the polynomial -x^2 + 5x - 9?

Mathematics
1 answer:
Naddik [55]3 years ago
3 0
Take the coefficients of each term and list them.

- 1 5 - 9

Multiply 3 by the first coefficient and combine it from the second. 

- 1 * 3 = - 3, 5 - 3 = 2

Multiply 3 by this product and combine it from the third term.

3 * 2 = 6, - 9 + 6 = - 3

Your remainder is option B, - 3. 
You might be interested in
What are the coordinates of the vertex of the parabola described by the equation below? y = -7(x - 4)2 - 5
pochemuha
To get the vertex of the parabola we proceed as follows;
y=-7(x-4)^2-5
The above can be written as:
y=-7x^2+56x-117
The values of a,b and c are:
a=-7, b=56 and c=-117
x=-b/(2a)
x=-56/(-7*2)=4
but;
y=-7x^2+56x-117
y=-7(4)^2+56(4)-117
y=-5
Thus;
x=4 and y=-5
The vertex will be at point (4,-5)


7 0
4 years ago
Read 2 more answers
Each side of a square rug is 3ft 2in long. Peg has 20ft of braid to use as trim on the four sides of the rug. How much braid wil
stepan [7]

Answer:

7ft 8in is left over

Step-by-step explanation:

5 0
3 years ago
Solve by elimination <br> 3x - 2y = 4<br> x+4y=34
Xelga [282]

Answer:

x= 6

y= 7

Step-by-step explanation:

multiply top by 2 then eliminate

4 0
4 years ago
Question 5
viva [34]
Marlee will have 21.05 inches of wire left, here is why;
115-25.75=89.25
89.25+30=119.25
119.25-38=81.25
81.25-60.2=21.05
She has 21.05 inches of wire left.
4 0
3 years ago
7. (05.02 MC)
Diano4ka-milaya [45]

Considering the Central Limit Theorem, we have that:

a) The probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.

b) The probability can be calculated, as the sample size is greater than 30.

<h3>What does the Central Limit Theorem state?</h3>

It states that the sampling distribution of sample means of size n is approximately normal has standard deviation s = \frac{\sigma}{\sqrt{n}}, as long as the underlying distribution is normal or the sample size is greater than 30.

In this problem, the underlying distribution is skewed right, that is, not normal, hence:

  • For item a, the probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
  • For item b, the probability can be calculated, as the sample size is greater than 30.

More can be learned about the Central Limit Theorem at brainly.com/question/16695444

#SPJ1

8 0
2 years ago
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