Answer:
A. In vertex form, f(x) = 2(x - 2)² +1 and therefore has a minimum value of 1.
Step-by-step explanation:
Function is given as;
f(x) = 2x² - 8x + 9
From quadratic formula, we know that;
a = 2
b = -8
c = 9
Now, x-coordinate of the vertex is;
x = -b/2a
x = -(-8)/2(2)
x = 2
Let's find the y-coordinate;
f(2) = 2(2)² - 8(2) + 9
f(2) = 8 - 16 + 9
f(2) = 1
Thus, y-coordinate = 1
This means the vertex coordinate is (2, 1)
Now, vertex form of a quadratic equation is;
f(x) = a(x - h)² + k
Where, (h, k) is the coordinate of the vertex and a is the first term as earlier seen.
Thus;
f(x) = 2(x - 2)² + 1
Now, the leading coefficient is positive and so it means that the parabola will open upwards and thus, will have a minimum value of 1.
Answer:
x = 8, y = 6
Step-by-step explanation:
2x + 5y = 46______(1)
3x - 2y = 12_______(2)
(1) x 3 --> 6x + 15y = 138
(2) x 2 --> 6x -4y = 24
(1) - (2) --> 19y = 114
y = 6 sub into (2)
3x - (2 x 6) = 12
3x = 24
x = 8
<h2>
<em><u>Please mark as brainliest!!!</u></em></h2>
There are 12 inches in a foot, so divide 1590 by twelve. It equals 12.5. That is 12 feet and 5 inches!
"Amanda's method is linear because the number of minutes increased by an equal number every week." is the statement that <span>best describes the methods used by Amanda and Billy to increase the time they spent exercising. The correct option among all the options that are given in the question is the first option. </span>
Answer:
-7/3
Step-by-step explanation:
slope formula:
y = mx + b
the m is the slope value
