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
Leviafan [203]
3 years ago
11

Describe the graph of the function. y = |x – 4| – 7

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:

(x-4)=0 ===> x=4,

so that now you have to plot 2 functions!

For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:

|x-4| = -(x-4)=4-x

Then:

for x<=4, y = -x+4-7 = -x-3

for x=>4, (x-4) is positive, so no changes:

y= x-4-7 = x-11,

Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11

In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:

x=4 and x= 3 for y=-x-3

And just x=5 for y=x-11

The reason is that the absolute value is continuous, so x=4 works for both:

x=4===> y=-4-3 = -7

x==4 ====> y = 4-11=-7!

abs() usually have a cusp int he point where it is =0

Step-by-step explanation:

You might be interested in
Find the measures of ZX and ZY.
Ulleksa [173]

mzh=hahsvvrbhegdvvbehe

6 0
2 years ago
Read 2 more answers
The student council is selling cupcakes at the school play. ​The cost to ​make the cupcakes is a fixed $75 plus $0.17 per cupcak
dedylja [7]

Answer:

C = 75 + 0.17x and R = 2x

2x - (75 + 0.17x) > 0

x ≥ 41

Step-by-step explanation:

The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcakes made and the selling price of each cupcake is $2.00.

Part A: Now, the equation for the cost, C, for making x cupcakes is  

C = 75 + 0.17x ......... (1)

Again the equation for the revenue, R, from selling x cupcakes is

R = 2x ............ (2)

Part B: So, the inequality that could be solved to find the number of cupcakes, x, that must be made and sold to make a profit is  

R - C > 0

2x - (75 + 0.17x) > 0 ......... (3)

Part C: Solving inequality (3) we get

(2 - 0.17)x > 75

⇒ x > 40.98

⇒ x ≥ 41 {Since, x can not be a fraction}

(Answer)

3 0
3 years ago
How do i multiply ?​
attashe74 [19]

Answer:

Do repeated addition

Step-by-step explanation:

For example 12 * 12 = 144 because 12+12+12+12+12+12+12+12+12+12+12+12=144

7 0
3 years ago
How do you make 'a' the subject of the formula: ab - cd = ac
xxTIMURxx [149]
First bring all terms in 'a' to the left side of the formula by subtracting ac from both sides

ab - ac - cd = ac - ac 
ab - ac - cd = 0
now add cd to both sides
ab - ac -cd + cd = cd
ab - ac = cd
now factor the left side by taking out the 'a' 
a(b-c) = cd
now divide both sides by (b-c)
a = cd / (b-c)
done

3 0
3 years ago
The bearing of Q from P is 150
Lynna [10]

Answer:

(i) see first attached diagram

(ii) QR = 22.67 km (2 dp)

(iii) 243°

Step-by-step explanation:

A bearing is the angle in degrees measured clockwise from north.

<u />

<u>Part (i)</u>

see first attached diagram

<u>Part (ii)</u>

The angles marked in blue on the second attached diagram are Consecutive Interior Angles.  In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°        

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

<u>Part (iii)</u>

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

⇒ sin(o) = 32sin(45)/22.67

⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

8 0
2 years ago
Other questions:
  • PLZ!!!!!HELP 20 POINTSS!!!
    11·1 answer
  • A and B are centres of two circles of radii 8 cm and 1 cm such that AB =13 cm and angle ACB =90 degree where C is the centre of
    5·1 answer
  • The temperature in Sunnyside was 76°F.
    12·2 answers
  • I REALLY NEED HELP!
    10·1 answer
  • Two rectangles are shown below. Rectangle P has a perimeter of 20 inches.
    13·1 answer
  • A small plastic ball has a diameter of 8 centimeters. What is the volume of the ball
    11·1 answer
  • Stella bought a dinette set on sale for $655. The original price was $1,299.
    10·1 answer
  • FOR EXTRA POINTS<br> What is 50+44*69-22
    5·2 answers
  • Raina deposits $6000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in t
    10·1 answer
  • Determining end behavior and intercepts to graph a polynomial function.Also for part (a) it asks it it falls to the left rises r
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!