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
Paha777 [63]
3 years ago
9

What effect does replacing x with x + 2 have on the graph for the function f(x) ?

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0
The answer is A.

When replacing the variable 'x' by 'x + 2' the graph is shifted 2 units to the left. When we replace the variable, the function changes

from
f(x) = |x - 3| + 2

To
f(x) = |(x + 2) - 3| + 2
f(x) = |x - 1| + 2

And therefore the function is shifted 2 to the left.
You might be interested in
Classify the number -3 into as many categories as it belongs: Natural number, whole number, integer, or rational number.
Effectus [21]
-3 is an integer and a rational number.


Natural numbers and while numbers refer to positive numbers, so -3 cannot be either of those.
3 0
3 years ago
Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?
sasho [114]

Answer:

y=12x-16

Step-by-step explanation:

y-y1=m(x-x1)

y-20=12(x-3)

y=12x-36+20

y=12x-16

4 0
3 years ago
3,<br> Which expression is equivalent to<br> 56x7y5, if x #0 and y# 0?
spin [16.1K]

Answer:

1960

Step-by-step explanation:

1960

times 56 times 7 time 5 = 1960

6 0
2 years ago
572000 square miles rounded ro the nearest hundred thousand
baherus [9]

It would be rounding it to 600000 because 600000 is the closest 100000x amount where x is an integer. I hope this helped and if I am right could I have brainliest? :)

7 0
3 years ago
You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). O
Neko [114]

Answer:

a)q(p)=-15p+ +300

b)R(p)=-15p²+300p

c)C(p)=-30p+1600

d.1)P(p)=-15p²+330p-1600

d.2)p=$11

Step-by-step explanation:

(a).Before getting started, we are going to consider  the cartesian plane, where x-axis corresponds to the cover charge and y-axis corresponds to number of guests per night . There, we will locate the following coordinates according to the previous information:

(9,165)  (10,150).

Remember that  the slope-intercept form of the  linear equation is y=mx+b where m is the slope and b  is te intercept.

The slope can be calculated  by the next formula:

m=\frac{y2-y1}{x2-x1}

In this case we will assign  (9,165) as the first coordinate and (10,150) as the second one. The order does not matter. At the end we get the same value for m.

Therefore:

m=\frac{150-165}{10-9} = -15

Now, we have the slope and two poitns. According to this, and taking into account that  point-slope form of the equation of a line is y-y1=m(x-x1),   find a linear demand equation.

Any of two coordintates can be selected. In this case we will select the second one.

y-150=-15(x-10)   equation 1

Solve equation 1 for y

y=-15x+150+150

y=-15x+300

Above we had defined x as cover charge (p) and y as number of guests (q). Thus, rewrite equation 1.

q(p)=-15p+ +300.  

it equation shows the number of guests per night as a function of the cover charge,

(b). The nightly revenue can be calculated multplying the price of the cover charge by  the number of guests. So, we just have to multiply the equation 1 by p.

p*q(p)=p*(-15p +300)

R(p)=-15p²+300p   equation 2

(c) To get the cost function of the nightclub  we just have to multiply the cost of the two non-alcoholic drinks   by the number of the guests ( equation 1) and add to it  nightly overheads.

C(p)=2*(-15p+300)+1000

C(p)= -30p+600+1000

C(p)=-30p+1600  equation 3

(d) In order to find the profit in terms of the cover charge we will  subtract nightly costs ( equation 3) from nightly revenue (equation 2)

P(p)=R(p)-C(p)

P(p)=-15p²+300p - (-30p+1600)

P(p)=-15p²+300p+30p-1600

P(p)=-15p²+330p-1600

To determine that  the entrance fee we should charge for a maximum profit we are going to use the first derivative test (y'(x)=0) in order to find an extremum point.

Compute the first derivative of P(p)

P'(p)=-30p+330=0

30p=330

p=330/30

p= $11

The entrance fee that we should charge for a maximum profit is p=$11 per guest.

5 0
3 years ago
Other questions:
  • Which value of x is in the domain of f(x) = \sqrt {x - 8}f(x)=
    9·1 answer
  • A line through slope -2 and y-intercept 4
    8·1 answer
  • The perimeter of this quarter circle with radius, r= 23mm.<br> Give your answer rounded to 1 DP.
    10·1 answer
  • on the same bus, 1/3 of the French speakers can also speak German. how many people can speak both German and French
    9·1 answer
  • Find the exact values ofcos (3pi/4radians) and sin (3pi/4 Radians)
    14·1 answer
  • Tricia is going to write Patterns A, B, and C using the rule add 15. The first
    10·1 answer
  • Simplify the product: (4wx6)4 (wx)5
    11·1 answer
  • He spends a total of $500.
    6·2 answers
  • You average weekly pay for the past six weeks is $140. What do you need to earn on the seventh week for the average to be $145?​
    9·1 answer
  • Convert 23/5into a mixed number.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!