Step-by-step explanation:
It is shifted down 2 units.
Answer:
3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3
Answer:
Step-by-step explanation:
Write in slope-intercept form:
-3x + 4y = 12 is
Slope = 1.500/2.000 = 0.750
x-intercept = 12/-3 = 4/-1 = -4.00000
y-intercept = 12/4 = 3
Answer:
7. C
8. B
9. B
Step-by-step explanation:
7: A proper fraction is a fraction where the numerator is greater than the denominator. Choice <em>a</em> is a decimal, not a fraction. Choice <em>b</em> is a fraction, but its numerator is equal to its denominator. Choice <em>d</em> is also a fraction, but its denominator is greater than its numerator. Choice <em>c</em> is correct, because it is a fraction where its numerator is greater than its denominator.
8. A decimal fraction has denominators like 10, 100, 1000, as so on. It is a fraction.
9. A fraction is equal to the numerator divided by the denominator. When the numerator is equal to the denominator, the value of the numerator divided by the denominator is 1.
Answer:
<em>See below.</em>
Step-by-step explanation:
Divide to turn the percentage into a decimal.
Then, multiply the percentage by the total to get the amount.
<em>Answer: </em>
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