<u>Given</u>:
The given expression is
We need to simplify the given expression.
<u>Simplification</u>:
Let us simplify the given expression.
Rewriting the given expression, we have;
Let us apply the exponent rule , we get;
Taking LCM, we have;
Simplifying, we get;
Thus, the simplified value of the given expression is
Hence, Option a is the correct answer.
∑ Hey, KLPJDP615 ⊃
Answer:
x = 6 or x = -10
Step-by-step explanation:
<u><em>Given:</em></u>
<em>Solve for x.</em>
<em>1 + |2+x|= 9</em>
<em>O x = 4 or x = -8</em>
<em>O x = 7 or X = -11</em>
<em>O x = 5 or x = -9</em>
<em>x = 6 or X = -10 </em>
<u><em>Solve:</em></u>
<em>1 + |2+x|= 9</em>
<em>Subtract 1 from both sides:</em>
<em>1 + |2 +x| -1 = 9-1 </em>
<em>Simplify</em>
<em>|2 + x | = 8</em>
<em>Applying absolute value rule: If |u| = a, a > 0 then u = a or u = -a</em>
<em>2 + x = -8</em>
<em>2 + x = 8</em>
<u><em>Solving:</em></u>
<em>2 + x = -8</em>
<em>2 - 2 + x = -8 - 2</em>
<em>x = -10</em>
<u><em>Solving:</em></u>
<em>2 + x = 8</em>
<em>2 - 2 + x = 8 - 2</em>
<em>x = 6</em>
<em />
<em>Hence, x = 6 or x = -10</em>
<em />
<u><em>xcookiex12</em></u>
<em>8/26/2022</em>
Answer:
Step-by-step explanation:
1. The two equations follow the slope-intercept form which y=mx + b. They have the same y-intercept which is equal to 900.
2. Suppose x= 10
Plan Alpha: y=-7x+900=-7(10)+900=830
Plan Foxtrot: y = -17x+900 = -17(10)+900=730
Between the 2 plans, the lower value is 730. Plan Foxtrot is better for reduction of pollution.
3. The city council should choose Plan Foxtrot because the reduction of pollution is much greater. Their goal would be reached faster if they go with faster reduction of pollution.
Answer:
6/6 or 1/1
Step-by-step explanation:
A standard number cube has 6 sides to it. Therefore there are 6 possibilities, as you can roll either a 1, 2, 3, 4, 5, or 6.
The question is asking what the probability is for not rolling a number more than 62. To reword the question to get rid of the confusing 'not', "What is the probability of rolling a number less than 62?"
All the possibilities on the dice are less than 62, therefore it is guaranteed you will not roll a number more than 62. The probability is 1, or written as a fraction 1/1, or 6/6, since 6 sides of the 6 sided cube are less than 62.