(14, -7) = 3.5
(6, -7) = -0.5
Answer:
The equation has two zeros because the discriminant is greater than 0.
Step-by-step explanation:
3x^2 – 7x + 4
a=3 b = -7 c=4
The discriminant is
b^2 -4ac
(-7)^2 - 4(3)(4)
49 - 48
1
Since the discriminant is greater than zero, there are two real solutions
According to the AA similarity theorem, the statement that must be true is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
<h3>What is the AA Similarity Theorem?</h3>
The AA similarity theorem states that if two angles in one triangle is congruent to two corresponding angles in another triangle, then both triangles are similar.
For △ZYX ~ △WVU, any two pairs of corresponding angles must be congruent.
Therefore, the statement that must be true based on the AA similarity theorem is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
Learn more about AA similarity theorem on:
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We need 84 gallons of 3% butterfat milk and (84 * 3) = 252 gallons of 7% butterfat milk to obtain 336 gallons of 6% butterfat milk.
<h3>How to work with percentages?</h3>
Let x = number of gallons of 3% milk
Thus;
336 - x = number of gallons of 7% milk
Therefore;
0.03x + 0.07(336 - x) = 0.06(336)
0.03x + 23.52 - 0.07x = 20.16
-0.04x = -3.36
x = 84 gallons
We need 84 gallons of 3% butterfat milk and (84 * 3) = 252 gallons of 7% butterfat milk to obtain 336 gallons of 6% butterfat milk.
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