Which expression is equivalent to 15+80
1 answer:
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Adding parentheses in the component of the expression may bring an output of 48.
In this question we should make use of hierarchy rules represented by the use of parentheses. The parentheses oblige to make operations inside it before making it in the rest of the formula.
Now we decide to add parenthesis in the component such that the result of the entire expression is 48. We proceed to present the proof:
Adding parentheses in the component of the expression may bring an output of 48.
The statement presents mistakes and is poorly formatted. Correct form is shown below:
An expression is shown:
Using the same expression, add parenthesis so that the value of the expression is 48.
To learn more on hierarchy rule, we kindly invite to check this verified question: brainly.com/question/3572440
Answer:
Step-by-step explanation:
Complete question
Required
Solve for x
We have:
Collect like terms
Multiply through by
Make x the subject
The radius of the cylinder's base is 8, so the volume of the cylinder is 
(using the approximation of 
).
The sphere has radius 6, so the volume of the sphere is
.
The volume of the shaded region is the difference between the two: 3617.28 - 904.32 = 2712.96. Rounded to the nearest integer gives an answer of 2713.
The sphere has radius 6, so the volume of the sphere is
The volume of the shaded region is the difference between the two: 3617.28 - 904.32 = 2712.96. Rounded to the nearest integer gives an answer of 2713.
Answer:
f(x) = {x-3 for x ≤ -1; -3x+14 for x > 5}
Step-by-step explanation:
To write the piecewise function, we can consider the pieces one at a time. For each, we need to define the domain, and the functional relation.
__
<h3>Left Piece</h3>The domain is the horizontal extent. It is shown as -∞ to -1, with -1 included.
The relation has a slope (rise/run) of +1, and would intersect the y-axis at -3 if it were extended.
The first piece can be written ...
f(x) = x-3 for x ≤ -1
__
<h3>Right Piece</h3>The domain is shown as 5 to ∞, with 5<em> not included</em>.
The relation is shown as having a slope (rise/run) of (-3)/(1) = -3. If extended, it would intersect the point (5, -1), so we can write the point-slope equation as ...
y -(-1) = -3(x -5)
y = -3x +15 -1 = -3x +14
The second piece can be written ...
f(x) = -3x +14 for x > 5
__
<h3>Whole function</h3>Putting these pieces together, we have ...
_____
<em>Additional comment</em>
Sometimes it is convenient to write inequalities in number-line order (using < or ≤ symbols). This gives a visual indication of where the variable stands in relation to the limit(s). Perhaps a more conventional way to write the domain for the second piece is, <em>x > 5</em>.