Answer:
<span>x=<span><span>5±<span>√41</span></span>4</span></span>
Explanation:
<span>2<span>x2</span>−5x+1=3</span>
<span><span>aaaaaaa</span>−3a−3<span>aaa</span></span>Subtract 3 from both sides
<span>2<span>x2</span>−5x−2=0</span>
This equation is not factorable, so use the quadratic formula.
<span>x=<span><span>−b±<span>√<span><span>b2</span>−4ac</span></span></span><span>2a</span></span><span>aaa</span></span> for<span><span>aaa</span>a<span>x2</span>+bx+c=0</span>
<span>a=2,b=−5,c=−2</span>
<span>x=<span><span>−<span>(−5)</span>±<span>√<span><span><span>(−5)</span>2</span>−4<span>(2)</span><span>(−2)</span></span></span></span><span>2⋅2</span></span></span>
<span>x=<span><span><span>5±<span>√41</span></span>4</span></span></span>
hope this helped :)
alisa202
Answer:
Horizontal shift of 4 units to the left.
Vertical translation of 8 units downward.
Step-by-step explanation:
Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:
The vertex form of the quadratic function is y = a(x - h)² + k
Where:
The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).
The axis of symmetry occurs at <em>x = h</em>.
<em>a</em> = determines whether the graph opens up or down, and makes the graph wider or narrower.
<em>h</em> = determines how far left or right the parent function is translated.
<em>k</em> = determines how far up or down the parent function is translated.
Going back to your quadratic function,
y = (x + 4)² - 8
- The vertex occrs at (-4, -8)
- a is assumed to have a value of 1.
- Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.
- Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.
Please mark my answers as the Brainliest, if you find this helpful :)
Answer:
Step-by-step explanation:
A: Correct
June + August > July
12,832 + 8,465 > 20,005
21,297 > 20,005
B: Wrong
July = June + 8,173
20,005 = 12,832 + 8,173
20,005 ≠ 21005
C: Correct
July + August > May + June
20,005 + 8,465 > 9,325 + 12,832
28470 > 22157
D: Wrong
9,325 +12,832 +20,005 + 8,465 = 50627
E: Correct
May + June = 22,157
9,325 + 12,832 = 22,157
22,157 = 22,157
Part B: 2215
July - May + August = ?
20,005 - 9,325 + 8,465 = ?
20,005 - 17790 = 2215
Step-by-step explanation:
no I won't thanks though
