3. Mr Reder has just robbed a bank and is trying to escape on foot. He iscurrently 3 miles from the bank and running at 5 miles per hour.
a. Write an equation to model how far from the bank Mr Reder is
after a certain amount of time has passed.
b. How far has he gone after 3 hours?
c. Draw an appropriate graph for this equation.
Answers
Answer:
a.
b.
c. Graph in the image attached
Step-by-step explanation:
a.
We can model how far from the bank Mr Reder is using a linear equation:
Where S is his final position, So is his inicial position, v is his velocity and t is the time elapsed.
So, if we have So = 3 miles and v = 5 miles per hour, we have:
b.
To find his position after 3 hours, we just need to use t = 3 and then find the value of S:
c.
The graph of the equation is in the image attached.
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as a puppy, kim's dog weighs 15 ounces. as an adult, kim's dog weighs 8 pounds. how many ounces did kim's dog gain
Answers
Answer: The graph is attached.
Step-by-step explanation: We are given to draw the graph of the following equation:
where 'V' is the total volume of water in a bucket and 't' is the elapsed time in minutes.
Since equation (i) is a linear equation in two unknown variables, so the graph will be a straight line.
To draw the graph of a straight line, we need at least two points to be plotted on the graph paper and then joined straight.
If t = 0, then from equation (i), we have
If t = -2, then from equation (i), we have
So, (t. V) = (0, 4) and (-2, 0) are two points on the graph, if 't' is plotted along X-axis and 'V' is plotted along Y-axis.
These two points are joined to draw the graph of the given equation. Please see the attached graph below.
Answers
Current purchasing power = $29,520 - 8% = $29,520 x (1 - 0.08) = $29,520 x 0.92 = $27,158.40
Therefore current purchasing power is $27,158 to the nearest dollar.
Her current purchasing power round to the nearest dollar is $27158
Percent inflation rate
Inflation is an increase in the purchasing power of an individual. Given the following parameters
Carnie's income last year = $29,520
If the inflation rate is eight percent, then her current purchasing power is expressed as:
Current purchasing power = 0.92 * $29,520
Current purchasing power = $27158.4
Her current purchasing power round to the nearest dollar is $27158
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Answers
(y=mx+b)
Answers
Answer: Rational Numbers
Step-by-step explanation: Rational numbers could be described as numbers that can be expressed as the quotient or fraction a/b of two integers, a numerator a and a non-zero denominator b. The average lap time of a swimmer will be generally given in a decimal time (i.e 55.47 seconds) these value can be expressed as the quotient or fraction a/b of two integers.
Answers
Answer: vertex: ( 2, –10 & axis of symmetry: x = 2.
What is axis of symmetry ?
Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis.
here, we have,
given that,
y = -2x² + 8x - 18
now,
x = -b/2a => -8/2(-2) => -8/-4 => 2
x = 2
now, we get,
Substitute 2 in for x in y = -2x² + 8x - 18
y = -2(2)² + 8(2) - 18
=> -2(4) + 16 - 18
=> -8 - 2
=> -10
i.e. y = -10
(x, y) = (2, -10)
so, we get,
Vertex: (2, -10)
Axis of Symmetry: x = 2
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Answer:
vertex: ( 2, –10)
axis of symmetry: x = 2
Step-by-step explanation:
y = -2x² + 8x - 18
x = -b/2a => -8/2(-2) => -8/-4 => 2
x = 2
Substitute 2 in for x in y = -2x² + 8x - 18
y = -2(2)² + 8(2) - 18 => -2(4) + 16 - 18 => -8 - 2 => -10
y = -10
(x, y) = (2, -10)
Vertex: (2, -10)
Axis of Symmetry: x = 2
Answers
Answer:
6x-10y
Step-by-step explanation:
2(3x−5y)
Use the distributive property to multiply 2 by 3x−5y.
6x−10y