Answer:
See explanations below
Explanation:
Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)
The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75
x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5
To get the minimum, we will use the formula;
c - b^2/4a
The equation of the curve is expressed as;
(x-0)(x-2.5)
= x (x-2.5)
= x^2 - 2.5x
a = 1, b = -2.5, c = 0
minimum = 0 - (-2.5)^2/4(1)
minimum = -6.25/4
minimum = -1.5625
Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5
y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.
A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:
(x,y)→(y,-x).
Then:
- D(−2,4)→D'(4,2)
- E(4,7)→E'(7,-4)
- F(10,3)→F'(3,-10)
- G(8,0)→G'(0,-8)
Answer: the coordinates of vertices of quadrilateral D′E′F′G′ are D'(4,2), E'(7,-4), F'(3,-10), G'(0,-8).
Hey there!
x^2 + 4x = 12
SUBTRACT 12 to BOTH SIDES
x^2 + 4x - 12 = 12 - 12
SIMPLIFY IT
x^2 + 4x - 12 = 0
FACTOR the LEFT SIDE of your EQUATION
(x - 2)(x + 6) = 0
• EQUATION #1: x - 2 = 0
OR
• EQUATION #2: x + 6 = 0
SIMPLIFY IT
• EQUATION #1 answer: x = 2
OR
• EQUATION #2 answer: x = -6
OVERALL ANSWER: x = 2 or x = -6
YOUR ANSWER: x = 2 (Option A.)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
<span>When naming a polygon, the letters must be connected. It shouldn't jump from one letter to the other on different sides.
The answers for this question are A, C, D, and F.
</span><span>B doesn't work because A isn't directly connected to O.
E doesn't work because K isn't directly connected to N.</span>
Answer:
(a) A = 700×1.015^t
(b) 36.2 years
Step-by-step explanation:
(a) Each year, the account value is multiplied by (1 + 1.5%) = 1.015. Repeated multiplication is signified using an exponent. In t years, when the account has been multiplied by 1.015 t times, the account value will be ...
A = $700×1.015^t
__
(b) You want to find t when A=$1200. Logarithms are involved.
1200 = 700×1.015^t . . . . use 1200 for A
1200/700 = 1.015^t . . . . . divide by 700
log(12/7) = t×log(1.015) . . . . . take logarithms
log(12/7)/log(1.015) = t ≈ 36.2 . . . . divide by the coefficient of t
It will take about 36.2 years for the account balance to reach $1200.
