Answer: Local Max = (-1, 0)
Local Min = (1, -8)
<u>Step-by-step explanation:</u>
f(x) = (x + 1)² (x - 3)
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<u>Step 1:</u> Find the zeros
(x + 1)² = 0 --> x = -1 <em> (multiplicity of 2)</em>
(x - 3) = 0 --> x = 3
<u>Step 2:</u> Find the Vertices
x = -1 --> (multiplicity is even which means this is a vertex)
The midpoint between x = -1 and x = 3 is x = 1
<u>Step 3:</u> Find the Local Max and Local Min
Use the x-value above to find the y-values
f(-1) = 0 <em>because it is a zero</em>
f(1) = (1 + 1)² (1 - 3)
= 2²(-2)
= 4(-2)
= -8
<u>Conclusion:</u>
(-1, 0) is the Local Max bigger y-value
(1, -8) is the Local Min smaller y-value
Answer:
A = 0.8 litres
B = 0.7 litres
C = 0.5 litres
D = 0.2 litres
Step-by-step explanation
Here's what we know:
1. Jug A = B + .1 litres
2. Jug C = B - 200 (or 0.2 litres)
3. Jug D = .25 x A
4. Jug A + Jug B = 1.5 litres
In problem 1, we learned that Jug A has .1 litres more than Jug B and in problem 4, the two of them added together are 1.5 litres. To solve this we can combine the problems.
B + .1 litres + B = 1.5 litres
2B + .1 = 1.5
Subtract .01 from each side and you have 2B = 1.4
Divide each side by 2 and you have B = 0.7 litres
Plug this info into problem 1 and you can solve for A. (0.7 + 0.1 = 0.8)
Plug this info into problem 2 and you can solve for C. (0.7 - 0.2 = 0.5)
Since you have A, you can use that info to solve problem 3 (0.25 x 0.8 = 0.2)
Answer:
The answer would be 11.8
Step-by-step explanation:
To find this use the sin equation.
Sinα = Opp/Hyp
Now input known values and solve for Hyp.
Sin69 = 11/x
xSin69 = 11
x = 11/Sin69
x = 11.8
Answer:
1) a = 51, 2) b = 57, 3) c = 53, 4) e = 49 d = 131, 5) f = 33, 6) g = 79, 7) h = 42 j = 47, 8) m = 59 k = 17 i = 104, 9) n = 55
Step-by-step explanation:
1.
You see that angle HJK has a total degree angle of 115, half of the angle is already stated to be 64 degrees, so you would just have to find the remainder. 115 - 64 = 51
2.
The question follows the same format, when you see the square in the corner it generally means that it is a 90-degree angle. So following the same steps as last time angle b would be 90 - 33 = 57
3.
Whenever there is a flat line given the angle is equal to 180 degrees, think of it as putting two 90 degree angles back to back. So if they equal 180 angle c would equal 180 - 127 = 53
4
This question is just a little different when you see crossing perpendicular lines angles across from each other equal the same amount, so angle d would be 131. Finding angle e is not hard either, back to question 3 for when it was just a straight line the same logic can be applied here. e would equal 180 - 131 = 49