Answer:
Since f′>0, f is strictly increasing, so if f(0)=0, you will have f>0 if x>0 and f<0 if x<0. There is no need to consider the second derivative.
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
1/2 (3x +4 ) = 1/2
1/2 x 3x + 1/2 x 4 = 1/2
1.5 x + 2 = 1/2
1.5x = 1/2 -2
1.5x = -1.5
1.5x /1.5 = -1.5/1.5
x = -1
Check Back
1/2 ( 3 x -1 + 4) =1/2
1/2 ( 1) =1/2
1/2 =1/2
Time taken is equal to distance divided by speed
So time is 50/5 = 10 seconds
1500 ice cubes need to fill 1.5 L jar
Solution:
1 cm = 1 ml
Capacity of ice cube = 1 cm
= 1 ml
Capacity of jar = 1.5 L
1 L = 1000 ml
1.5 L = 1.5 × 1000
= 1500 ml
Capacity of jar = 1500 ml
= 1500
Therefore 1500 ice cubes need to fill 1.5 L jar.
Answer:
Step-by-step explanation:
Remark
Read the following carefully.
There is a beautiful theorem that has to do with the endpoints of two angles sharing the same endpoints.
To be a little clearer, I hope, that makes < BAC = <BDC because both angles have B and C as their endpoints inside the circle. Make sure you understand that statement before moving on.
For this problem <BDC = <CAB = 33 degrees.
That means that ADC = 37 + 33 = 70
Solution
<ADC and CBA are opposite angles.
That means that they add to 180
From the above statement in the Remark section <ADC = 37 + 33 = 70 degrees <ABD + <DBC = <ABC = m + 71
<ABC + ADC = 180
m + 71 + 70 = 180 Combine
m + 141 = 180 Subtract 141 from both sides.
m+141-141= 180 - 141 Combine
m = 39
Answer: m = 39
