Answer:
See below!
Step-by-step explanation:
15 - Put an open dot on 2, and draw a shaded arrow going right
16 - Put a closed dot on -4, and draw a shaded arrow going right
17 - Put an open dot on 3, and draw a shaded arrow going left
18 - Put a closed dot on 6 and draw a shaded arrow going left
19 - Put an open dot on -3 and draw a shaded arrow going right
20 - Put a closed dot on 3 and draw a shaded arrow going right
21 - Put a closed dot on 5 and draw a shaded arrow going left
22 - Put a closed dot on -3 and draw a shaded arrow going left
23 - Put an open dot on 4 and draw a shaded arrow going left
24 - Put an open dot on -1 and draw a shaded arrow going right
25 - Put an open dot on -7 and draw a shaded arrow going left
Answer:
a = 6 and b = -1.
Step-by-step explanation:
To find the maximum value of y = -x²+ ax + b we differentiate it with respect to x to find the value of x at which it is maximum.
So dy/dx = d(-x²+ ax + b)/dx = -2x + a
we equate it to zero.
-2x + a = 0
-2x = -a
a = 2x
Now, given that x = 3 at the maximum value,
a = 2x = 2(3) = 6
Also, substituting y = 8 and x = 3 into y, we have
y = -x²+ ax + b
8 = -(3)²+ a(3) + b
8 = -9 + 3a + b
3a + b = 8 + 9
3a + b = 17
So, b = 17 - 3a
substituting a = 6, we have
b = 17 - 3(6)
b = 17 - 18
b = -1
So, a = 6 and b = -1.
Answer:
238.2905
Step-by-step explanation:
you find out how many liters are in a gallon. then you divide 25.05 by the numbers you get when you find out how many liters are in a gallon. then you multiply 36.05 and the numbers you get when you divide 25.05 and the numbers of liters in a gallon.
3(1 + x) > x + 17
a.
3(1 + 2) > 2 + 17
3 × 3 > 2 + 17
9 > 19 this has no solution so eliminate this.
b.
3(1 + 4) > 4 + 17
3 × 5 > 4 + 17
15 > 21 no solution.
c.
3(1 + 6) > 6 + 17
3 × 7 > 6 + 17
21 > 23 no solution.
d.
3(1 + 8) > 8 + 17
3 × 9 > 8 + 17
27 > 25 this is a solution.
so your answer is d.
hope this helps, God bless!
The equation : y = -5x + 9
