21 times because you need 7/4=1 gallon and 3/4 just for one and 7x3 =21 so need 21/4
Answer:
Step-by-step explanation:
7) 2ab + 4ac = 2*a*b + 2 *2 *a*c
= 2a(b + 2c)
8) ac - a²c² = c( a - a²c)
bc - abc = c(b - ab)
9) b²+ 4b - 5 = b² + 5b - 1b - 5
= b(b + 5) - 1(b + 5)
= (b +5)(b - 1)
b² + 8b + 15 = b² + 5b + 3b + 15
= b(b + 5) + 3(b + 5)
= (b + 5 )(b + 3)
Answer: Choice B
{(0,0), (1,2), (2,4), (3,4)}
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Explanation:
A function is only possible if each x input leads to exactly one y output. For choice A, we have x = 1 lead to y = 3 and y = 5 at the same time, which is what the points (1,3) and (1,5) are saying. Therefore, choice A is not a function.
Choice C is also ruled out because x = 2 repeats itself as well. In this case, (2,3) and (2,4) means that the input x = 2 leads to the two outputs y = 3 and y = 4.
Choice D can be eliminated also for two reasons: x = 0 shows up twice, so does x = 2.
Only choice B has each x value listed one time only. So that means each input leads to exactly one output.
If you graph choice A, C or D, you'll find they fail the vertical line test. The vertical line test is where you test if you can draw a vertical line through more than one point on the graph. If you can draw a vertical line through more than one point on the graph, then the relation fails to be a function.
Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"
A polynomial can have:
constants (like 3, −20, or ½)
variables (like x and y)
exponents (like the 2 in y2), but only 0, 1, 2, 3, ... etc are allowed
that can be combined using addition, subtraction, multiplication and division ...
... except ...
... not division by a variable (so something like 2/x is right out)
So:
A polynomial can have constants, variables and exponents,
but never division by a variable.
Also they can have one or more terms, but not an infinite number of terms.
These are polynomials:
3x
x − 2
−6y2 − ( 79 )x
3xyz + 3xy2z − 0.1xz − 200y + 0.5
512v5 + 99w5
5
(Yes, "5" is a polynomial, one term is allowed, and it can be just a constant!)
These are not polynomials
3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)
2/(x+2) is not, because dividing by a variable is not allowed
1/x is not either
√x is not, because the exponent is "½" (see fractional exponents)
But these are allowed:
x/2 is allowed, because you can divide by a constant
also 3x/8 for the same reason
√2 is allowed, because it is a constant (= 1.4142...etc)
Answer:
1 7/8
Step-by-step explanation:
3/8 * 5/1 = 15/8
<-- First multiply 3/8 by 5
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15/8 = 1 with a remainder of 7
<-- Then convert 15/8 to a mixed number by dividing 15 by 8
15/8 = 1 7/8
