.5 is basically 1/2. We know this because .5 written as a fraction is 50/100 which you can simplify to 1/2.
6/10 is greater than 1/2. You can find this out by converting 1/2 to tenths. Multiply the numerator and the denominator by 5 to get 5/10. From there you can easily see that 6/10 > 5/10.
As for the number line simply use 10ths: 1/10, 2/10, 3/10 ... and input 6/10 and 5/10 in the appropriate areas.
Answer:
(1.13, 7.74) and (-4.13, 18.26)
Step-by-step explanation:
This can be solved in two ways: mathematically and graphically.
<u>Graphing</u>
Plot both lines and find where they intersect. See the attachment.
The intersection points are (1.13, 7.74) and (-4.13, 18.26)
<u>Mathematical</u>
y + 2x = 10
y = 10 - 2x
y = 3x² + 7x - 4
10 - 2x = 3x² + 7x - 4
3x² + 9x - 14 = 0
Solve this using the quadratic equation:
x = 1.13 and -4.13
Use these two values of x to find y:
y = 10 - 2x
y = 10 - 2(1.13)
y = 7.74
y = 10 -2x
y = 10 -2(-4.13)
y = 18.26
The two points are:
(1.13, 7.74) and (-4.13, 18.26)
Answer:
x = 0
Step-by-step explanation:
If it is 50 pages in an hour, half an hour would be 25 pages, and if it is 40 pages in an hour it would be 20 pages in half an hour, the answer is 5 pages more in half hour
Answer:
The zeros of the given polynomial function are
2,2,
Step-by-step explanation:
Given polynomial is
To find the zeros equate the given polynomial to zero
ie., P(x)=0
By using synthetic division we can solve the polynomial:
2_| 1 -4 -1 20 -20
0 2 -4 -10 20
_____________________
1 -2 -5 10 |_0
Therefore x-2=0
x=2 is a zero of P(x)
Now we can write the cubic equation as below:
Again using synthetic division
2_| 1 -2 -5 10
0 2 0 -10
______________
1 0 -5 |_0
Therefore x-2=0
x=2 is also a zero of P(x).
Now we have
is a zero of P(x)
Therefore the zeros are 2,2,