This is A you can tell because y is the line that goes up and down, and the point at which it touches the line is a (0,3)
Answer: Opens up, has a minimum
Step-by-step explanation:
If the x^2 term is positive the parabola opens up, if it is negative it opens down. Minimum always goes with up, maximum with down
Answer:
Step-by-step explanation:
Shaped area perimeter=50(3)+50÷2+50(2)÷4
=150+50
=307.1 cm(correct to nearest tenth)
Answer:
93%
Step-by-step explanation:
mean=45,000 standard deviation=2000 value of concern=48,000
We can easily see that since the value of concern (48,000) is GREATER than the mean, we can rule out the last two choices.
There is no possible way a number can be greater than the mean, but less than the 50th percentile.
convert 48,000 into a z-score, which is given as:
(x-mean)/standard deviation
or in this case:
(48000-45000)/2000=1.5
using my z-score table or calculator, I can see that a z-score of 1.5 corresponds to about the 93th percentile
The solution of the system of equations negative 3x - 4y - 3z equals -7 2 x - 6 y + 2 Z equals 3 5 x - 2 y + 5 Z equals 9(x, y, z) is
<u>Solution:</u>
Given, system of equations are
3x – 4y – 3z = - 7 ----- eqn (1)
2x – 6y + 2z = 3 ------ eqn (2)
5x – 2y + 5z = 9 ---- eqn (3)
We have to find the solution of the equations.
Now, from eqn (2)
----- eqn 4
Multiply eqn 4 with 5
Now subtract eqn 5 from eqn 3
5x – 2y + 5z = 9
5x – 15y + 5z = 15/2
(-)-----------------------------------
0 + 13y + 0 = 9 - 15/2
Now, perform eqn (1) + 3 x eqn (1)
3x – 4y – 3z = - 7
3x – 9y + 3z = 9/2
(+) -------------------------------------
6x – 13y = - 7 + 9/2
Then from eqn (4)
Hence, the solution is (x, y, z) is