F(7) = 10 - 2^7
f(7) = 10 - 128
f(7) = -118
Answer:
-9, 15
Step-by-step explanation:
Subtract 7 and multiply by 4
1/4 |2x-6| +7 = 13
1/4 |2x -6| = 6
|2x -6| = 24
2x -6 = ± 24
2x = 6 ±24
x = 3 ±12
x = -9, 15
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For graphing purposes, it is often convenient to rewrite the equation so the solutions are where the function is zero. Here, we can do that by subtracting 13 from the equation.
(1/4 |2x -6| +7) -13 = 0
Let's solve your inequality step-by-step.
<span><span><span>5x</span>+3</span>><span><span>4x</span>+7
</span></span>Step 1: Subtract 4x from both sides.
<span><span><span><span>5x</span>+3</span>−<span>4x</span></span>><span><span><span>4x</span>+7</span>−<span>4x
</span></span></span><span><span>x+3</span>>7
</span>Step 2: Subtract 3 from both sides.
<span><span><span>x+3</span>−3</span>><span>7−3
</span></span><span>x>4
</span>Answer:
<span>x><span>4</span></span>
The distance<span> formula is derived from the Pythagorean theorem. To find the </span>distance between two points<span> (x</span>1,y1) and (x2,y2<span>), all that you need to do is use the coordinates of these ordered pairs and apply the formula pictured below.</span>
