Answer:
9/4
Step-by-step explanation:
The quadratic function can be rearranged to look like this:
x^2-3x-1=0
Now we see that the constant b is equal to -3. Using the hint, we find:
(-3/2)^2=9/4
Hope that helps!
Answer:
x = -7 2/3, y = 1 1/3 and z = 5 1/3.
Step-by-step explanation:
2x+4y+3z=6 ..... 1
x-2y+z=-5 ...... 2
-x-3y-2z=-7 .......3
Add equations 2 and 3 to eliminate x:
-5y - z = -12 .....4
Multiply equation 2 by - 2:
-2x + 4y - 2z = 10
Add this to equation 1:
8y + z = 16 ........ 5
Now add equation 4 to equation 5:
3y = 4
y = 4/3 = 1 1/3.
Now find z by substituting for y in equation 4:
-5(4/3) - z = -12
z = 12 - 20/3
z = 36/3 - 20/3 = 16/3 = 5 1/3.
Finally, we find x by substituting for y and z in equation 1:
2x + 4*4/3 + 3*16/3 = 6
2x = 6 - 16/3 - 16
2x = 18/3 - 16/3 - 48/3 = -46/3
x = 23/3 = 7 2/3.
Answer:
A baby that weighed 6 1/4 pounds at birth now weighs 8 pounds.
Step-by-step explanation:
Answer:
56%
Step-by-step explanation:
Reducing the picture by 80% and then by 70% gives a reduction of 56%
70% of 80 = 0.7 × 80 = 56%
Answer:3.14
Step-by-step explanation:
Volume of cylinder can be calculated by using the formula V= pir^2h
Where r is radius of cylinder and h is the height.
A cylinder with radius 1 inch and height of 1 inch is given.
r=1,h=1,π=3.14.
Substituting the given values :
V=3.14(1)^2(1)
Volume of cylinder rounded to nearest tenth is 3.14 cubic inches .
