Answer:
1 1/2%
Step-by-step explanation:
1 square is shaded and half the other square is shaded
9514 1404 393
Answer:
B. 3x^2 +11x -20 = 0
Step-by-step explanation:
For solutions p and q, the quadratic will be
(x -p)(x -q) = 0
We notice that the leading coefficients of the offered answer choices are greater than 1, so it will be convenient to use a value that "clears fractions."
(x -4/3)(x -(-5)) = 0
3(x -4/3)(x +5) = 0 . . . . multiply by 3 to clear the fraction
(3x -4)(x +5) = 0 . . . . . . clear the fraction
3x(x +5) -4(x +5) = 0 . . use the distributive property
3x^2 +15x -4x -20 = 0 . . . . use the distributive property again
3x^2 +11x -20 = 0 . . . . collect terms
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The constant in the product of factors is the product of roots:
(x -p)(x -q) = x^2 -(p+q)x +pq
Here, that would mean the constant would be (4/3)(-5) = -20/3.
If we compare the above quadratic to the standard form:
ax^2 +bx +c = 0
we find that we can divide the standard form equation by 'a' to get ...
pq = c/a
That is, c/a = -20/3, so we might start looking for an answer choice that has a leading coefficient of a=3 and a constant of c=-20.
Answer: 3
Step-by-step explanation:
All you have to do is divide 18 by 6, which equals three, so there are 3 favorable outcomes.
Hope that helps.
Express the fractions 1/2, 3/16, and 7/8 with an LCD. A)8/16,3/16,14/16B)1/4,3/4,7/4C)1/32,3/32,7/32 D)1/32,3/32, 7/32 D)4/8,6/8
vesna_86 [32]
Answer is choice A
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The LCD is 16
1/2 = (1/2)*(8/8) = 8/16
3/16 stays the same
7/8 = (7/8)*(2/2) = 14/16
So the list {1/2, 3/16, 7/8} is equivalent to the list {8/16, 3/16, 14/16}
Answer:
A horizontal translation and a reflection across a vertical line is the map that has a strip pattern onto itself.
Step-by-step explanation:
