Answer:
top right corner
Step-by-step explanation:
1) the green line
- straight line
- shaded region is below the line
thus, y ≤ 3
2) the blue line
- straight line
- shaded region is below the line
thus, y ≤ x-2
3) the red line
- dotted line
- shaded region is above the line
thus, y > -x+5
4) the x-axis
- straight line
- shaded region is above the line
thus, y ≥ 0
Answer: 30°
Step by step explanation:
1) Supplementary angles add up to 180°
2) (2x+10)+(5x-40)=180
3) solve for x
4) x=30
For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.
Me must do "10 combine 7" which is written by the binomial coefficient

; in general a binomial coefficient is written by:

In which

and

are positive integers, such that

.
So, for this problem:
Hence, there are 120 different ways to make the fruit salad.
Answer:
5x+1
Step-by-step explanation:
(4x+2)+(x-1)=
Combine like terms
4x+x +2 -1
5x+1
Answer:
Step-by-step explanation:
y = ax² + bx + c
~~~~~~~
(4, - 2), (8, 6), (2, 0)
a(4²) + b(4) + c = - 2
a(8²) + b(8) + c = 6
a(2²) + b(2) + c = 0
16a + 4b + c = - 2 .............. <em>(1)</em>
64a + 8b + c = 6 ............... <em>(2)</em>
4a + 2b + c = 0 ................. <em>(3)</em>
a = 0.5 ; b = - 4 ; c = 6
<em>y = 0.5x² - 4x + 6</em>
Part A: (0, 6), (6, 0)
Part B: (0,6)
Part C: (6, 0)
Part D: [ 4, ∞ )