So to find the zeros you need to break down the problem into two sets of parenthesis. So you need to figure out what two numbers multiply to get -5 and when added give you -4. Start by writing the factors of 5.
1,5 so now you have the two numbers, since the answer has to be negative we need to figure out which one needs to be negative so that when we add them we get -4
-1+5=4
1+-5= -4
Now that we have that we can see our factors are 1 and -5 so we write it like this
(X+1)(x-5)
To find our zeros we take each parenthesis and set them equal to zero
X+1=0
X-5=0
Now solve
X=-1
X=5
These two numbers are where the parabola will touch the x axis. Now you need to graph the point they give you. That’s I’ll be the center of the parabola. Next put a dot on (-1,0) and (5,0). Now to figure out which way to draw the parabola you just look at the sign in front of the x^2 on the original equation. Since there’s no negative sign your parabola will open upwards. Hope this helps
Hello, there!
<span>Ten times a number is sixteen more than twice the number. Find the number.
Answer: 2
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Explanation:
</span>
First, let's write the equation.
Ten times a number -- 10x
16 more -- 10x - 16
Twice the number -- 2x
10x - 16 = 2x or 10x = 2x + 16
Let's use the first one: 10x - 16 = 2x
First, let's isolate the x to one side.
10x - 16 = 2x
-10x -10x
-16 = -8x
Now, let's multiply each side by -1 to make them positive
-16 = -8x
*-1 *-1
16 = 8x
Finally, let's divide each side by 8
16 = 8x
---- ----
8 8
Our answer is 2 = x
This means that the number is 2.
I hope I helped!
Let me know if you need anything else!
~ Zoe
Problem 18)
The distance from J to L is 30 units. We can count out the number of spaces or do subtraction to get 30-0 = 30. I subtracted the number line coordinate of J and L. The result is positive as distance is never negative.
Take 2/3 of this value to get (2/3)*30 = 20 which means that we start at J and add on 20 units to get 0+20 = 20
So the final answer is 20, which is where this point is located on the number line.
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Problem 19)
The distance from A to B is 3 units because |-5-(-2)| = |-5+2| = |-3| = 3
Double this value to get 2*3 = 6
Now add 6 units to the coordinate of point A to get
-5+6 = 1
The location of this point is at 1 on the number line.
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Problem 20)
From J to I, or vice versa, we travel 5 units.
Multiply this by 1.5 to get 1.5*5 = 7.5
So we subtract 7.5 units from 0 (the coordinate of point J) getting us 0-7.5 = -7.5
Final Answer: -7.5
Note: this is the midpoint of -10 and -5 on the number line
Answer:0.80
Step-by-step explanation:please i don't really know how to explain this i am very sorry
Answer: A. 12
WORKINGS
Given the data set for 11 seasons of play14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28
Quartiles (usually 3 in number; Q1. Q2 and Q3) divide a rank-ordered data set into four equal parts
14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28
First order the data set by rank
12, 14, 16, 19, 21, 22, 25, 27, 28, 30, 32
Q1 is the first quartile
Q2 is the second quartile
Q3 is the third quartile
Interquartile range = Q3 – Q1
The median value in the set, Q2 = 22
First half of the rank-ordered data set is therefore 12, 14, 16, 19, 21
While the Second half of the rank-ordered data set is 25, 27, 28, 30, 32
The median value in the first half of the set, Q1 = 16
The median value in the second half of the set, Q3 = 28
Interquartile range = Q3 – Q1
Therefore, interquartile range = 28 – 16
= 12
The interquartile range of the data is 12