A and E
When you multiply any equation with a decimal you add that many decimal places in the end.
Ex: If you multiply 4.12×5.8 there will be 3 decimal places in the product because 4.12 had 2 decimal places and 5.8 had 1 decimal place and 2+1=3.
The only exception is when you multiply a decimal with a number that ends with a 0 and is not a decimal like 10, 20, 30, 100, 1000, etc. If this is the case then put the decimal where it would have been and then move it right the same number as you have 0s.
Ex: 1000× 5.82 would have been 5.82000*, but becomes 5,820.00*, which really is 5,820*.
*continuous 0s after a decimal is unnecessary and will probably make you lose points on a test, but I was trying to prove a point
Step-by-step explanation:
ax^2+bx+c=0
a=leading term
ok so if the leading term is positive then opens up and has a <u>min</u>
if leading term is negative then opens down and has a <u>max</u>
leading term is positive
1x^2+8x
it has a min
to complete the square, move c aside take 1/2 of b and square it
b=8
8/2=4
4^2=16
now add that to both sides
x^2+8x+16+6=0+16
factor perfect square
(x+4)^2+6=16
subtract 6
(x+4)^2=10
subtract 10
(x+4)^2-10=0
vertex aka min or max is (h,k) when ou have
y=a(x-h)+k
h=-4
k=-10
5/6 is equal to 0.8333 while 1/3 is equal to 0.333
5/6 is greater
Answer:
The correct option is option B. It has one solution, and it's x=-3
Step-by-step explanation:
We have the following system of equations:
5x+7 = 2y (1)
y-9x=23 (2)
Step 1: Solve for 'y' in equation (2):
y-9x = 23
y = 9x + 23
Step 2: Substitute in equation (1):
5x + 7 = 2y
5x + 7 = 2(9x + 23)
5x + 7 = 18x + 46
Step 3: Solve for x:
7 - 46 = 18x - 5x
-39 = 13x
x= -3
So the correct option is option B. It has one solution, and it's x=-3
Either one at any given time could be equal to zero. So
x + 2 = 0
x = - 2
x - 18 = 0
x = 18
I've enclosed a graph of this so you can see that the answers I've given are the ones expected.
