Let the number of apples in a bag be x apples. Basically its assigning a letter (variable) to an unknown quantity.
The phrase in the question can be written as
2x / 19 where x is a variable. 2x means '2 times x'.
You could also use a ruler or some other measuring device for (2). You can also draw a picture of a circle with the denominator as the slices, and the numerator as the shaded areas, then compare both fractions together for (3).
Y = 2x - 3 --------- (1)
y = 4x + 1--------- (2)
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Equation (2) - (1) :
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(y - y) = (4x + 1) - (2x - 3)
0 = 4x + 1 - 2x + 3 // remove brackets
0 = 2x + 4 // combine like terms
2x + 4 = 0 // switch sides
2x = -4 // take away 4 from both sides
x = -2 ------ sub into (1) // Divide by 2 on both sides
y = 2(-2) - 3 // Sub x = -2 into equation (1)
y = -4 - 3 // Remove bracket
y = -7 // Combine like terms
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Answer: x = -2, y = -7
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Answer:
see explanation
Step-by-step explanation:
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be.
x² - 4 = 0 ⇒ x² = 4 ⇒ x = ± 2 ← excluded values
domain : x ∈ R, x ≠ ± 2
The formula of a slope:
We have the points (4, 1) and (2, 5). Substitute:
<h3>Answer: The slope is -2.</h3>