Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x-----> the total number of guests
y -----> the amount of meat
we know that
The inequality that represent this situation is equal to
Note The inequality is "greater than or equal" because the given statement say "at least"
The solution of this inequality is the shaded area above the solid line 
The slope of the solid line is positive
The y-intercept of the solid line is -2
The x-intercept of the solid line is 6
therefore
The graph in the attached figure
Remember that
The values of x an y cannot be a negative number
Answer:
1125 m
Step-by-step explanation:
Given equation:
where:
- h = height (in metres)
- t = time (in seconds)
<u>Method 1</u>
Rewrite the equation in vertex form by completing the square:
The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point). As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point. Therefore, the maximum height is the y-value of the vertex: 1125 metres.
<u>Method 2</u>
Differentiate the function:
Set it to zero and solve for t:
Input found value of t into the original function and solve for h:
Therefore, the maximum height is 1125 metres.
Is = %
of 100
So
88 = 110
x 100
Cross multiply
8800 = 110x
Divide both sides by 110
x= 80 kg
The number of the students in the school that have had algebra is 203
<h3>How to determine the number of students?</h3>
The given parameters in the question are
- Proportion of students taking algebra, p = 70%
- Number of students in the school, n = 290
The number of students that had algebra in the school is calculated as:
Algebra = Proportion of students taking algebra * Number of students in the school
The above equation can be represented as:
Algebra = np
Substitute values for n and p in the above equation
So, we have
Algebra = 290 * 70%
Express 70% as decimal i.e. 0.70
So, we have
Algebra = 290 * 0.70
Evaluate the product i.e. multiply 290 and 0.70
So, we have
Algebra = 203
Hence, the number of the students in the school that have had algebra is 203
Read more about expected values at:
brainly.com/question/15858152
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In this case, Ainsley is <em>adding </em>money to her savings, so the $75 deposit could be represented as the <em>positive </em>integer 75.
The opposite, of course, would be if Ainsley <em>withdrew </em>that money from her savings. In that case, we'd be subtracting money from the account, so we could use the <em>negative </em>integer -75 to represent that scenario.
