1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lady_Fox [76]
3 years ago
15

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 th

e 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+____
Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0
The total distance traveled by Alfred is the sum of the distance he traveled before and after refueling.

The distance he traveled before refueling is 150 miles. After refueling, the distance he traveled is the product of his speed and time, x hours. Therefore, his total distance traveled is,
 
                                y = 60x + 150
You might be interested in
Can someone plss help me with this!!!
qaws [65]

Answer

Algae to(-->) Mayfly nymph, Mayfly nymph to Dragonfly nymph and Trout, Dragonfly nymph also to Trout, Trout to Osprey.

please give me brainliest.

8 0
2 years ago
Help me please send me a friend req
LenKa [72]

Answer:

4520 yards

Step-by-step explanation:

2 miles=3520

3520+1,000=4520

4 0
3 years ago
Read 2 more answers
The polynomial $f(x)$ has degree 3. If $f(-1) = 15$, $f(0)= 0$, $f(1) = -5$, and $f(2) = 12$, then what are the $x$-intercepts o
Alex_Xolod [135]

Your calculator's cubic regression function can tell you the equation is

... f(x) = 2x³ + 5x² -12x = x(x +4)(2x-3)

The x-intercepts are -4, 0, +1.5.

_____

If you want to solve this "by hand", you can first of all recognize that since there is an x-intercept at 0, the cubic will only have three coefficients. That is, you can write the equation as

... f(x) = ax³ + bx² + cx

Substituting the given points (except (0, 0)) gives three linear equations in a, b, c.

... -a +b -c = 15 . . . . . for x=-1

... a + b + c = -5 . . . . for x=1

... 8a +4b +2c = 12 . . for x=2

adding the first two equations gives 2b=10, or b=5. Now, you can reduce the system to

... a + c = -10

... 4a +c = -4

Subtracting the first of these equations from the second gives 3a=6, or a=2. That tells you c=-12 (from a+c=10).

Then your equation is

... f(x) = x(2x² +5x -12)

Factoring by any of the usual techniques, or graphing, or using the quadratic formula will tell you the zeros (x-intercepts) are as above.

_____

Since the input values are sequential, you can also develop the function from differences of the output values. Those are 15, 0, -5, 12. First differences are -15, -5, +17. Second differences are +10, +22. The third difference is 12. Using the first of these differences in appropriate places in the interpolating polynomial formula, we have

... f(x) = 15 + (x+1)(-15 + (x)/2·(10 + (x-1)/3·(12))) = 2x³ +5x² -12x . . . . as above

4 0
3 years ago
During a sale, everything in the store was ⅕ off the ticketed price. What percent of an item's original price should you expect
tiny-mole [99]
You would pay 80% of the original price because 1/5 is 20% and you would subtract 20 from 100 to get 80 as your answer 

Hope this Helps :3
4 0
3 years ago
My hw says, "suppose E has a coordinate of -1 And EG= 7" what is the possible coordinate of G?​
evablogger [386]

Answer:

-8,6

Step-by-step explanation:

from what i can tell this is a 1D problem. |E-G|=7, and E=-1, so -1-G=+-7. G=-8 or 6

7 0
3 years ago
Read 2 more answers
Other questions:
  • The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is
    7·1 answer
  • If f(x)= 3/x+2 - square root of x-3, the domain for f(x) is all real numbers ___ than or equal to 3
    8·2 answers
  • katie has 60 flowers. she wants to divide into two groups so the ratio is 2:3 how many flowers in each group
    14·1 answer
  • If a right isosceles triangle has an area of 192 cm, what is the height of the triangle?
    11·2 answers
  • It is known that 70% of the customers in a sporting goods store purchase a pair of running shoes. a random sample of 25 customer
    15·1 answer
  • two groups collect litter along the side of the road. it takes each group 5 minutes to clean a 2 yd section. how long would it t
    7·1 answer
  • The area of triangle PQR is 231 cm2 , and PQ = 21 cm. Find the altitude SR. Help me solve this
    13·1 answer
  • Which is a solution of -3/5+3/8=
    8·1 answer
  • 420-360/360420*420+69<br> Free <br> Points<br> Have a good day
    11·2 answers
  • Please help idw to do thegrade again
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!