Alfred is taking a trip. He drove 150 mi and then stopped to refuel. He will drive 60 mph to finish his trip. Let x represent the hours it takes for Alfred to complete the rest of his trip, and let y represent the total distance traveled.Complete the function equation that relates Alfred’s total distance traveled to his time.

y =
x +

Answers

Answer 1
Answer: Initial distance was 150miles, final distance was 60mph * x(hours it takes for Alfred to complete the rest of his trip)
Therefore y=150 + 60 x


Related Questions

What is the slope of 6x-3y=18??
The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenario, and solve for the number of roses when there are 5 weeds.Weeds Roses 10 20 20 10
The product of 8 and the sum of a number m and 6 is 12.
Which equation could be used to solve y 2+7y=18 by factoring?
a car rents for $30 per day plus 19 cents per mile. you are on a daily budget of $87 what mileage will allow you to stay within your budget (solution {m/≤_miles)

Here are 10 test scores: 50, 74, 76, 77, 78, 79, 80, 80, 82, 84. The mean of these scores is 76. How does removing the outlier 50 affect the mean?A.
The set has 50 as an outlier and removing it decreases the mean by about 6.

B.
The set has 50 as an outlier and removing it decreases the mean by about 2.

C.
The set has 50 as an outlier and removing it increases the mean by about 3.

Answers

The answer is C. 
The set has 50 as an outlier and removing it increases the mean by about 3.

Since 50 is significantly smaller number than all others, it is expected that removing 50 will increase the mean.
The first mean is 76:
X_(1) = (50+74+76+77+78+79+80+80+82+84)/(10) = (760)/(10) =76

The mean after removing 50 is:
X_(2) = (74+76+77+78+79+80+80+82+84)/(10) = (710)/(90) =78.89<span>
X₂ ≈ 79

The difference between the second and the first mean is 79 - 76 = 3, thus 
removing 50 as an outlier increases the mean by about 3.

Figure ABCD is a parallelogram with point C (3, −2). Figure ABCD is rotated 90° clockwise to form figure A′B′C′D′. What coordinate would be the output for point C'? (5 points)A.C' (2, −3)
B.C' (−2, −3)
C.C' (−2, 3)
D.C' (2, 3)

Answers

After rotation the output for point C´ would be  ( - 2 . -3 ).  There is also a graph showing rotation in the attachment.

Simplify the following expression: 6(5 - 3x) - 5(3x + 2) �� 20 - 33x �� 40 + 33x
�� 20 + 33x �� 40 - 33x

Answers

Answer:20-33x

Step-by-step explanation:

The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective.Which sampling methods are likely to be biased?

Choose all answers that are correct.

A.
The manager selects 20 boards at random each day for 5 days and examines them.

B.
The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied.

C.
On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined.

D.
Every 40th board produced over the course of 1 week is selected and examined.

Answers

The sampling method that is most bias is: 

B. 
The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied.

C.
On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined.

Work out2 3/14+3 4/14

Answers

Answer:

5 (1)/(2)

Step-by-step explanation:

=> 2(3)/(14) + 3(4)/(14)

=> (31)/(14) + (46)/(14)

=> (31+46)/(14)

=> (77)/(14)

=> 5(7)/(14)

=> 5 (1)/(2)

Answer:

51/2

please see the attached picture forfullsolution..

hope it helps..

Good luck on your assignment

A projectile is fired straight upward with an initial velocity of 400 feet per second. The height of the projectile, h(t), if represented by the function h(t)=-16t^2+400t, where t is the time in seconds. How long does it take the projectile to reach the maximum height?

Answers

Taking into account the definition of maximum, minimum and vertex of a quadratic function, it takes 12.5 seconds for the projectile to reach maximum height.

A quadratic function is defined in the form:

y= f (x) = ax² + bx + c

Every quadratic function has a maximum or a minimum, which is the vertex of the parabola. If the parabola has an upward concavity, the vertex corresponds to a minimum of the function; whereas if the parabola has concavity downwards, the vertex will be a maximum.

That is, if the coefficient a is positive the parabola is concave and the vertex will be a minimum of the function, while if a is negative the parabola will be convex and the vertex is a maximum.

The maximum or minimum is reached in xv=(-b)/(2a)  

The maximum or minimum value of y is obtained by evaluating the function at xv, this is, f (xv).

In this case, the function is:

h(t)= -16t² + 400t

where t is the time in seconds

Being a = -16 and b = 400, the value of a is negative, so the vertex will be the maximum.

You want to know the time it takes for the projectile to reach the maximum height, that is, the maximum in t. That is, you must calculate t using the expression: t=(-b)/(2a)

So: t=(-400)/(2x(-16))

Solving:

t=(-400)/(-32)

t= 12.5 seconds

It takes 12.5 seconds for the projectile to reach maximum height.

Learn more about cuadratic function with this examples:

Answer:

You can find the answer by using the formula x=-b/2a

Step-by-step explanation:

Remember the maximum height will be at the vertex. The x value of the vertex is your time, so use x=-b/2a. Then if it had also asked what the height was, you would plug that answer into your equation to find the y value of the vertex. Pretty sure your teacher is just asking you to find the x though:)