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DIA [1.3K]
3 years ago
10

Error Analysis: Kayla said the remainder of x^3+ 2x^2 -4x + 6 divided by

Mathematics
1 answer:
andrezito [222]3 years ago
5 0

9514 1404 393

Answer:

  C) No, Kayla is not correct, because the remainder is -49 not 149

Step-by-step explanation:

The remainder from division by x+5 can be found by evaluating the polynomial at x=-5, the value of x that makes the divisor zero.

Evaluation is often easier when the function is written in Horner form.

  ((x +2)x -4)x +6

For x=-5, this is ...

  ((-5 +2)(-5) -4)(-5) +6 = (-3(-5) -4)(-5) +6 = 11(-5) +6 = -49

Kayla is not correct; the remainder is -49.

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When compared with the independent variable, how many of the graphs represent a linear relationship?
strojnjashka [21]
Since a slope differe, this is not linear relationship. Simply, if you connect all points on the graph, they will not lie on the same line. Two next graphs represent the linear relationships, so they represent the linear relationship.
8 0
3 years ago
Kumar the painter has 17 gallons of paints. He puts it into 6 buckets so each has the same amount. How many gallons are in each
9966 [12]

Answer:

17/6 or 2 5/6 gallons of paint

Step-by-step explanation:

First, do 17/6= 2 5/6.

That's really all, but I can't help you with the number line because of no attachment, but just put it on the part where it says 17/6 or 2 5/6.

Hope this helped!

3 0
3 years ago
I go bowling every week and keep track of how many strikes i get: 2,0,4,7,7,0,1,0 Find the mode median and mean of this set of d
natima [27]

Answer:

  • <em>Mode is 0</em>
  • <em>Median is 1 </em>
  • <em>Mean is 2.625</em>

Step-by-step explanation:

  • <em>To find the mode, or modal value, it is best to put the numbers in order. A number that appears most often is the mode.</em>
  • <em>0, 0, 0, 1, 2, 4, 7, 7 = mode is 0</em>

<em></em>

  • <em>To find the Median, place the numbers in value order and find the middle number.</em>
  • <em>0 , 0 , 0 , 1 , 2 , 4 , 7 , 7 = median is 1</em>

<em></em>

  • <em>The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.</em>
  • <em>0 + 0 + 0 + 1 + 2 + 4 + 7 + 7 / 8 = mean is 2.625</em>

5 0
3 years ago
What is the length of AC
meriva
Hi!
This is a fun one, as it delves into basic trigonometry.

We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,

a² + b² = c²

We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)

Let's do the one on the right first.

We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).

a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6

Therefore, the length of DC is about 7.6.

Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.

Have a great one!
7 0
3 years ago
I need the incomplete fraction answer for:<br> y=<br> z=<br> b=<br> Thx
sergejj [24]

Answer:

Y = 15sqrt(3)/4

Z = 15sqrt(3)/2

b = 45/4

Step-by-step explanation:

Sin(60) =Z/15

sqrt(3)/2 = Z/15

Z = 15sqrt(3)/2

Sin(30) = Y/Z

½ = Y/Z

Y = ½(15sqrt(3))/2 = 15sqrt(3)/4

Cos(30) = b/Z

sqrt(3)/2 = b/Z

b = 15sqrt(3)/2 × sqrt(3)/2

b = 45/4

sqrt is square root/radical

8 0
3 years ago
Read 2 more answers
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