The first equation
6x^2 -18x-24=0
-the graph opens up
6(x^2 -3x -4)=0
6(x^2 -3x +9/4-4-9/4)=0
6(x-3/2)-25x6/4=
6(x-3/2)-75/2
-Vertex is at (3/2, -75/2)
-Axis of symmetry is x=3/2
Second equation
3r^2 -16r -12=0
-the graph opens up
...
Answer:
3/12 or simplified 1/4
Step-by-step explanation:
First make the denominators the same. We can make 12 the common denominator. To make 3/4 have a denominator do the following:
Multiply the numerator and denominator by 3 since 4x3=12. The new number becomes 9/12.
Then subtract:
9/12-6/12=3/12 The numerator subtracts while the denominator stays the same.
We can simplify 3/12 to 1/4
Answer:
B. The number of years between adjustments in the interest rate
Step-by-step explanation:
The "5" in "5/1" means there will not be any adjustment in interest rate for the first 5 years.
The "1" in "5/1" means interest rates may be adjusted at 1-year intervals after the initial 5-year period.
I think eight because if you add those days together they will play again in eight days so that they play on the same day.
Sorry if I got it wrong I tried and that's what counts, right?
Answer:
3 + 4 = 7 which is true.
Step-by-step explanation:
Whenever you have an equation with a plain variable (that is, no exponent included), there is only one number that will work when substituted for x.
To solve it, you have to "undo" what is done to the variable. You also go in the reverse order of operations, so you do the addition/subtract first, then multiplication/division.
You also have to do the same to both sides, kind of like keeping a balance scale in balance.
In this case, we subtract 4 from both sides first:
3x + 4 -4 = 7 - 4
The + 4 - 4 cancel each other out, so you get:
3x = 3
3x means "3 times x" so you divide by 3 to undo it. I will use the / to indicate division:
3x / 3 = 3 /3
so 1x = 1.
Since 1x is "1 times x" it is the same as x by itself, so:
x=1
AND, if we substitute 1 back into the original equation (the asterisk stands for multiply):
3 * 1 + 4 = 7
3 * 1 is 3, so:
3 + 4 = 7 which is true.
1 is the only number that works.
Hope this helped.
