Isolate for x
First expand the bracket to
12x^2 - 15x = 12x - 5
Move everything to one side
12x^2 - 27x + 5
Use quadratic formula and sub in values
X = 2.046989
X = 0.203610
Rational numbers are decimals that either terminate or repeat, and can be written as fractions, in which case A and E are rational
[ b ] is the Correct one
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[ b ] is the Correct choice
9514 1404 393
Answer:
∠7 = 51°
∠8 = 129°
Step-by-step explanation:
All of the obtuse angles are congruent, as are all of the acute angles. The acute and obtuse angles are supplementary.
∠8 = ∠1 = 129°
∠7 = 180° -129° = 51°
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<em>Additional comment</em>
Technically, angles 1 and 8 are called "alternate exterior angles." As such, they are congruent. Angles 7 and 8 form a "linear pair." As such, they are supplementary.
The equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x
<h3>How to determine the equation?</h3>
The attached table of values represents the missing piece in the question.
Start by calculating the rate of change using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (14.77 - 10.55)/(7- 5)
Evaluate
m = 2.11
The equation is then calculated using:
y = m(x - x1) + y1
This gives
y = 2.11(x - 5) + 10.55
Evaluate
y = 2.11x - 10.55 + 10.55
y = 2.11x
Hence, the equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x
Read more about linear equations at:
brainly.com/question/14323743
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