9514 1404 393
Answer:
10. (x, y) = (-3/8, 2 9/16)
11. k = -1
Step-by-step explanation:
10. The value of x at the vertex is ...
x = -b/(2a)
x = -(-3)/(2(-4)) = -3/8
The corresponding value of y is ...
y = 2 +(-3/8)(-3 +(-3/8)(-4)) = 2 +(-3/8)(-3/2) = 2 +(9/16)
The vertex is (x, y) = (-3/8, 2 9/16).
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11. The discriminant is zero when the roots are equal.
b² -4ac = 0
(k-1)² -4(1)(-k) = 0
k² -2k +1 +4k = 0
k² +2k +1 = 0 . . . . . collect terms
(k +1)² = 0 . . . . . . . . write as a square
k = -1 . . . . . . . . . . . . the value of k that satisfies
<em>Check</em>
x² -2x +1 = (x -1)² = 0 . . . . has equal roots: x=1.
Answer: y = -2x + 7
Step-by-step explanation:
Slope intercept form is the same as solving for y in the equation .
So solve for y and it will be in slope intercept form.
12 - y = 2x + 5 Subtract 12 from both sides
-12 -12
-y = 2x -7 Now divide both sides by -1
y = -2x + 7
It’s $13.75=3x-$2.50 -> $11.25=3x -> $3.75=x
X=g
<h2>
Answer: c.) ¹⁵/₄</h2>
Step-by-step explanation:
If we transpose the equation into the slope-intercept form (y = mx + c), the value of c is the y-intercept.
since x + 4y = 15
then 4y = - x + 15
∴ y = -¹/₄ x + ¹⁵/₄
<h3>⇒ the y-intercept for the line x + 4y = 15 is ¹⁵/₄</h3>
Decimals because money is expressed in decimals and we handle with money every day.
