#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:
Step 1
Step-by-step explanation:
Correct solution step-by-step:
1. 5(x + 2) = 6x + 12
2. 5x + 10 = 6x + 12
3. 5x - 6x = 12 - 10
4. -x = 2
5. x = -2
Answer:
Step-by-step explanation:
Total number of the students in the pep squad = 12 students
The number of the students wearing white shirts = 3 students
The number of the students wearing blue shirts = 6 students
Either white or blue shirts indicate that the students wearing white shirt or blue shirt.
Thus, number of students wearing either white or a blue shirt = 3 + 6 students = 9 students
So,
The fraction is:-
Recall the double/half angle formulas:
We're given , and since is between π/2 and π, we expect to be negative. So from the Pythagorean identity, we find
Also, we know will fall between π/4 and π/2, so both and will be positive. Then we find
and it follows that
Answer:
Hey there!
If 1007 people attend, they will make a profit of 10070 dollars.
The play costed 3200 dollars to produce, so we have -3200+10070=7500 dollars as the final balance of the bank account.
Let me know if this helps :)