Answer:
2 or 4
Step-by-step explanation:
#1.
Question: <span><span><span><span>2x^2 </span>− 3x</span> − 35</span> = 0</span>
<span><span><span>Step 1: Factor left side of equation): (<span>2x + 7</span>) </span><span>(x − 5) </span></span>= 0</span>
Step 2: Set factors equal to 0.): <span><span><span>2x + 7 </span>=<span><span> 0 or x </span>− 5</span></span> = 0</span>
ANSWER: <span><span>x =<span><span><span> −7/2</span> or </span>x </span></span>= 5</span>
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#2.
Question: 56z^2 + 2 = 22z
<span>Step 1: Subtract 22z from both sides.):
</span><span><span><span><span>56<span>z^2 </span></span>+ 2</span> −<span>22z</span></span> = <span><span>22z </span>−<span> 22z
</span></span></span><span><span><span><span>56<span>z^2 </span></span>−<span> 22z </span></span>+ 2 </span>= 0</span>
<span>Step 2: Factor left side of equation.):
</span>
<span><span><span>2<span>(<span><span>7z </span>− 1</span>)</span></span><span>(<span><span>4z </span>− 1</span>)</span></span> = 0
</span><span>Step 3: Set factors equal to 0.):
</span>
<span><span><span><span>7z </span>− 1 </span>=<span><span><span> 0 or </span><span>4z</span></span> − 1</span></span> = 0
ANSWER: </span><span><span>z =<span><span><span> 1/7</span> or </span>z </span></span>=<span> 1/4</span></span>
Answer:
.
n = -3.
Step-by-step explanation:
![23^8 * 23^n = 23^5](https://tex.z-dn.net/?f=23%5E8%20%2A%2023%5En%20%3D%2023%5E5)
![23^{n + 8} = 23^5](https://tex.z-dn.net/?f=23%5E%7Bn%20%2B%208%7D%20%3D%2023%5E5)
Since both sides have the same base (23), we can solve for n.
n + 8 = 5
n = 5 - 8
n = -3.
Hope this helps!
Answer:
80 and 4
Step-by-step explanation:
80 divided by 4 equals 20. 80 + 4 = 84