Answer:
60 gallons
Step-by-step explanation:
We can create a ratio for this. If we consider 2 as the 1 in the ratio, we have a ratio of 1 : 2.5. Therefore, we just need to multiply 24 by 2.5, which equals 60.
X=3
Explanation:
A straight line equals 180°, and they give you the one angle of 56°, so you know 56+ the other equation has to equal 180
56+4x+112=180
168+4x=180
Subtract 168 from both sides
4x=12
Divide 4 from both sides
X=3
You can check by filling it in.
56+4*3+112=
12+56+112=180
Step-by-step explanation:
Angle:2x+30+3x=180
Angle:2x+b+2b=180( Being in straight line)
Angle:30+3x+a=180
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
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<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
For this case, the main function is given by:
We can apply the following transformation:
Horizontal displacements:
Assume h> 0:
To graph f (x + h) move the graph of f (x) h units to the left.
For h = 1 we have:
Answer:
the graph y=6(x+1)^2 is the graph y=6x^2 moved 1 unit to the left.
