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
Olegator [25]
3 years ago
15

Consider the functions f(x)=4x+15 and g(x)=x^2-x+6. At what positive integer value of x does the quadratic function, g(x), begin

to exceed the linear function, f(x)?
Mathematics
1 answer:
djyliett [7]3 years ago
3 0

Answer:

At x=7

Step-by-step explanation:

Let's evaluate!!

When x = 6

f(6) = 4*6 + 15 = 24 + 15 = 39

g(6) = 6² - 6 + 6 = 36

When x = 7

f(7) = 4*7 + 15 = 28 + 15 = 43

g(7) = 7² - 7 + 6 = 48

Check!! When x=7, g(x) excees f(x).

You might be interested in
The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?
PolarNik [594]

Answer:

Around 364

Step-by-step explanation:

So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)

Then you multiply this by 57: 57x6.4 = 364.8

8 0
2 years ago
Monique is going to give away 35% of her orange harvest to her neighbors. If she picked 480 oranges, how many will she be giving
chubhunter [2.5K]

Answer:

168

Step-by-step explanation:

Figure out 10% which is 48

Times by 3 to get 30% 144

then half 48 to get 5% which is 24

7 0
2 years ago
Which equation can be used to find the number of fish in the pond on June 1?
olga_2 [115]

Answer: The required equation is f-52=63 and the number of fishes in the pond on June 1 = 115


Step-by-step explanation:

Given: The number of fishes in pond on July 1 = 63

Also, it is said that the number of fishes in pond on July 1 is 52 fewer(lesser) than the number of fishes in pond on June 1.

Let f be the number of fishes in pounds on June 1.

then the required equation will be

f-52=63

Now, add 52 on both the sides  of the equation, we get

f=63+52\\\Rightarrow\ f=115


3 0
3 years ago
James and Cameron are watching a film. They pause it with one fifth left to watch. What is the ratio of how much they have watch
goldenfox [79]

Answer:

The ratio of how much they have watched to how much they have left to see is 4 : 1.

Step-by-step explanation:

Consider that the total duration of the film is, 1.

It is provided that James and Cameron paused when there is one-fifth left to watch.

That is, they have already watched, 1-\frac{1}{5}=\frac{4}{5} th of the film.

Compute the ratio of how much they have watched to how much they have left to see as follows:

\frac{\text{Duration Watched}}{\text{Duration Left}}=\frac{4/5}{1/5}=\frac{4}{1}=4:1

Thus, the ratio of how much they have watched to how much they have left to see is 4 : 1.

5 0
2 years ago
A line with a slope of 4 passes through<br> the point (2, 1). What is the equation of<br> this line?
mariarad [96]

Answer:

y = 4x - 7

Step-by-step explanation:

Slope = 4 ; x1 = 2 , y1 = 1

Slope point form: y -y1 = m(x -x1)

y - 1 = 4(x - 2)

y - 1 = 4x - 2*4

y -1 = 4x - 8

   y = 4x - 8 +1

  y = 4x - 7

3 0
3 years ago
Other questions:
  • Atoms contain charged particles called protons and electrons. Each proton has a charge of +1, and each electron has a charge of
    5·2 answers
  • What is the volume of a sphere with a surface area of 452.39cm^2? Round to the nearest hundredth.
    9·2 answers
  • In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the e
    11·2 answers
  • What is the value of x?
    13·1 answer
  • [Pic] Find the volume of the pyramid.
    13·1 answer
  • Heart Lake Developments sold four lakefront lots for ​$ per hectare. If the sizes of the lots in hectares were ​, ​, ​, and ​res
    6·1 answer
  • Help me to solve this question​
    8·1 answer
  • Mike divided a number by 7, then subtracted 6, the result was 32. What is the number?
    6·2 answers
  • Help!!!!!!!!!!!!!!!!!!!
    13·2 answers
  • Chandler ran for 23 minutes on monday,28 minutes on wednesday, and 33 minutes on Friday. If this pattern continues, for how many
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!