9. Carlos is taking a road trip. So far he has traveled 120 miles at a constant speed of 60 mph. His
1 answer:
Answer:
Part 1) 300 miles
Part 2) 420 miles
Part 3) 600 miles
Step-by-step explanation:
we have
where
d(x) is the distance in miles
x is the time in hours
Part 1) How many miles will he have traveled after 3 more hours?
we know that
To find the distance, substitute the value of x in the function
so
For x=3 hours
For x=3, d(x)=300
That means -----> After 3 hours Carlos has traveled 300 miles at a constant speed of 60 mph
Part 2) How many miles will he have traveled after 5 more hours?
we know that
To find the distance, substitute the value of x in the function
so
For x=5 hours
For x=5, d(x)=420
That means -----> After 5 hours Carlos has traveled 420 miles at a constant speed of 60 mph
Part 3) How many miles will he have traveled after 8 more hours?
we know that
To find the distance, substitute the value of x in the function
so
For x=8 hours
For x=8, d(x)=600
That means -----> After 8 hours Carlos has traveled 600 miles at a constant speed of 60 mph
You might be interested in
Answer:
A.
Step-by-step explanation:
<em>NOTE: The "larger number" will be referred to as y, and the "smaller number" will be referred to as x.</em>
"A number, y, is equal to twice the sum of a smaller number and 3."
This tells us that we must add our smaller number (x) to 3 within parantheses and then multiply the entire term (x+3) by 2.
"The larger number is also equal to 5 more than 3 times the smaller number."
This tells us that we must multiply 3 against our smaller number (x) and add 5 to it.
Now, to find your answer, we can put the equations in the same form as the answer choices so as to find an equivalent equation. Lets start with the first equation.
This form calls for us to have our x term first, then our y term, then our constant.
Now that we've gotten the equation in that form, we can see that our answer choices hold that our leading co-efficient must be positive, which we can adjust for by dividing both sides by -1.
This makes the only possible answer choices (A) and (C).
Now, lets do our second equation. The recipe calls for the same form, again with a positive leading coefficient.
This is only represented by choices (A) and (B).
Therefore, answer choice (A) is the only one which represents both equations.
Answer:
x - intercepts are (-7,0) and (-2,0)
A is the correct option.
Step-by-step explanation:
We have been given the equation of the parabola
For x- intercept, y = 0
We can split the middle term as 9x = 7x +2x
Now take GCF
Factored out the common term
Apply the zero product property
Solve for x
Hence, x - intercepts are (-7,0) and (-2,0)
A is the correct option.
Given:
In the given figure the vertices of triangle ABC are A(-2,2), B(4,2), C(-2,-2).
The vertices of triangle A'B'C' are A'(-4,4), B'(8,4), C'(-4,-4).
To find:
The center of dilation and the scale factor.
Solution:
In the given graph, draw the lines AA', BB' and CC'. The intersection point of these lines is the center of dilation.
From the below graph, it is clear that the lines AA', BB' and CC' intersect each other at (0,0).
Therefore, the center of dilation is (0,0).
If a figure is dilated by factor k and the center of dilation is origin, then
It is given that A'(-4,4). So,
On comparing both sides, we get
Therefore, the scale factor is 2.
