For this case, what we must do is calculate the speed of the runner.
We have then that the speed is given by:

Where,
d: distance
t: time
Substituting values we have:


Answer:
the runners unit rate is:

The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,
[ 0 12 12 0]
[ 0 0 12 6]
<h2>
We have to determine</h2>
Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?
<h3>According to the question</h3>
The vertices of the triangle are
The scale factor is 3.
<h3>The vertices of the triangle are scaled with the factor of 3 so the vertices are get multiplied by 3.</h3>
Therefore,
The vertices of the rectangle after scaled by the factor of 3 are,

The vertices of the rectangle after it are scaled by a factor of 3.
Therefore,
The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,
[ 0 12 12 0]
[ 0 0 12 6]
To know more about Matrix click the link given below.
brainly.com/question/2489305
Answer:
-7x
Step-by-step explanation:
==> -12x + 5x.
==> -12+5xx
==> -7x
Answer:
Polynom degree: 5
Y intercept point: (0, 80)
Step-by-step explanation:
P(x)=(x+5)(x+4)²(x+1)²
When you expand, the highest power of x is 1 for first term (x+5), 2 for second term (x+4)² and again 2 for (x+1)². Overall, x⁵ will be the x term with highest power. So the degree of the polynom is 5.
The y intercept, i.e. intersection with OY axis, happens for x=0. Thus, P(0)=5×4²×1²=5×16=80. The y intercept point is (0, 80)
8064 cartons in 21 days......8064/21 = 384 cartons per day
the cartons were delivered in cases of 6.....384 / 6 = 64 cases
each of 16 coffee shops received an equal number of cases..
64/16 = 4.....so each coffee shop received 4 cases per day <==