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Iteru [2.4K]
2 years ago
13

A data set consists of the following data points: A.P.E.X. Algebra 1 Sem 2

Mathematics
1 answer:
MArishka [77]2 years ago
4 0

Answer:

C, y=4.5

Step-by-step explanation:

y=2.5x-3 if you plug in 3 for x and sole the equation its y = 7.5 - 3 so then it's 4.5 equals y.

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The polynomial x^3-kx^2+kx+2 has a factor of (x-2). What is the value of k?
laiz [17]

\text{Let}~ f(x) = x^3-kx^2 +kx +2.\\\\\text{If}~ x-2~ \text{is a factor of}~ f(x)~ \text{then,}\\ \\f(2) =0\\\\\implies 2^3-k\cdot 2^2 +2k+2 =0\\\\\implies -4k+2k+8+2=0\\\\\implies 10-2k=0\\\\\implies 2k =10\\\\\implies k= \dfrac{10}2 = 5\\\\\\\text{Hence, the value of k is 5.}

5 0
2 years ago
Evaluate each value expression for the given value of x: 11 + x, x=12
ratelena [41]

Answer:

The value of 11+x at x=12 will be 23.

Step-by-step explanation:

Given the expression

  • 11 + x

As we have to evaluate the expression at x=12

so substitute the value x=12 in the expression

11 + x

=11+12

=23

Therefore, the value of 11+x at x=12 will be 23.

4 0
3 years ago
Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north. At wha
Fiesta28 [93]

I've attached an image showing the coordinates of Ship A and Ship B.

Answer:

distressed vessel is located at (1, 1.5)

Step-by-step explanation:

From the image attached, we can see that;

Coordinate of ship A is (3, 4)

Coordinate of ship B is (1, 1)

Now, we are told that Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north.

This means that the distressed ship is somewhere in between ship A & B.

To solve this, we will extend the arrow line from Ship A in that same SW direction and we will do the same for ship B in the same North direction. Their point of intersection is where the distressed ship is located.

Now, if we do that, we will see that they will intersect at the point; (1, 1.5)

Thus,distressed vessel is located at (1, 1.5)

5 0
4 years ago
Hazel's town voted on a new speed limit. 10% of the 70 voted were in favor of the new speed limit. How many votes were not in fa
devlian [24]

Answer:

63 votes

Step-by-step explanation:

10% of 70 is 7

70-7=63

8 0
3 years ago
Read 2 more answers
Mr and mrs. Dorsey and their three children are fling to Springfield. The cost of each ticket is $179. Estimate how much the tic
Soloha48 [4]
<span>First figure out how many people there are all together. So mrs and mr is 2 there three children so 2+3=5 so next round 179 to 200 and multiply 200x5. To do that you can use the mental math way witch would be to take the whole number out of 200 and make it 2. Then take the 5 in 200x5 and multiply 2x5. Then add the 2 zeros there were. And your estamated answer would be 1,000.
2+3=5
179=200
200x5
2x5=10
1,000
To figure out your real answer you will have to take 179 and multiply it by 5 so it will look like this:
 34
179
x
   5
895
Soto conculde the answer would be:

Estamated: $1,000

Exact: $895

Hope this helps!</span>
7 0
3 years ago
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