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
sveticcg [70]
2 years ago
11

Which of the following functions is graphed below?

Mathematics
1 answer:
Rashid [163]2 years ago
5 0

Answer:

B.) y = |x + 4| - 2

Step-by-step explanation:

When values are added directly to "x", the function shifts to the left. When values are subtracted from "x", the graph shifts to the right. Because this graph has been shifted 4 units to the left, the function must be |x + 4|.

When values are added to the overall function, the graph shifts upwards. When values are subtracted from the overall function, the graph shifts downwards. Because the peak of this graph seems to have shifted downwards 2 units, there must be a (-2) in the function.

Therefore, the function must have the equation y = |x + 4| - 2.

You might be interested in
Consider the vectors a =3i +j −k, b =i +j +4k, c=i +3j +k, d =−i −3j +k, g =−3i −j +k. Which pairs (if any) of these vectors are
11111nata11111 [884]

Answer:

a and b are perpendicular to each other, as are b and d, b and g

Step-by-step explanation:

To check whether two vectors are perpendicular to each other, we need the angle between these vectors to be 90 degrees.

We can find the angle between to vectors a and b from the following relation:

The cosine of the angle \theta between two vectors is equal to the dot product of this vectors divided by the product of vector magnitude.

So

cos(\theta) = \frac{a.b}{|a||b|}

cos(90) = 0, so when the dot product between vectors a and b is 0, it means that these vectors are perpendicular to each other.

Now, for your exercise, let's compute the dot product between these vectors.

-----------

a.b = (3,1,-1).(1,1,4) = 3+1-4 = 0

So a and b are perpendicular to each other.

------------

a.c = (3,1,-1).(1,3,1) = 3+3-1 = 5

a and c are not perpendicular to each other.

--------------

a.d = (3,1,-1).(-1,-3,1) = -3-3-1 = -7

So not perpendicular

---------------

a.g = (3,1,-1).(-3,-1,1) = -9-1-1 = -11

Not

-----------------

b.c = (1,1,4).(1,3,1) = 1+3+4 = 8

Not

------------------

b.d = (1,1,4).(-1,-3,1) = -1 -3 +4 = 0

b.d = 0, so b and d are perpendicular to each other

--------------------

b.g = (1,1,4).(-3,-1,1) = -3-1+4 = 0

b.g = 0, perpendicular

---------------------

c.d = (1,3,1).(-1,-3,1) = -1-9+1 = -9

No

-----------------------

c.g = (1,3,1).(-3,-1,1) = -3-3+1 = -5

No

------------------------

d.g = (-1,-3,1).(-3,-1,1) = 3+3+1 = 7

No

7 0
3 years ago
Suppose you have $10,000 to invest. Which investment yields the greater return over 7 years: 6.6% compounded monthly or 6.7% com
joja [24]

Answer:

C) $10,000 invested at 6.7% compounded quarterly over 7 years yields the greater return.

Step-by-step explanation:

-We determine the effective interest rate in both scenarios and use it to calculate the investment's value after 7 years.

#Given n=7yrs, P=$10,000 and i=6.6% compounded monthly:

i_m=(1+i/m)^m-1\\\\=(1+0.066/12)^{12}-1=0.06803\\\\\therefore A=P(1+i_m)^n\\\\=10000(1.06803)^7\\\\\approx \$15,852.00

#Given n=7rs, P=10000, i=6.7%

i_m=(1+i/m)^m-1\\\\=(1+0.067/4)^{4}-1=0.06870\\\\\therefore A=P(1+i_m)^n\\\\=10000(1.06870)^7\\\\\approx \$15,921.75

Hence, the investment has the largest value($15,921.75) when the interest rate is compounded quarterly.

8 0
3 years ago
X equals 10, Y equals -2, and Z equals -5 what is x divided by y
Aleks04 [339]
X = 10
y = -2

x/y = 10/-2
x/y = -5

Hence, x/y = z
5 0
3 years ago
Read 2 more answers
What is 3y+5x=-15 in slope-intercept form?
Sphinxa [80]

3y + 5x = -15

3y = -5x - 15 (Subtract 5x from both sides)

y = -5/3x - 5 (Divide everything by 3)

4 0
3 years ago
Read 2 more answers
Find the mean and range.<br><br> 26 19 23 39 31 34 23 25
sveticcg [70]
Range: largest number minus the smallest number
39 - 19 = 20
your range is 20

Mean: add all of the numbers and divide by the amount of numbers there are.

26+19+23+39+31+34+23+25= 220
220/8 = 27.5

your mean is 27.5

hope this helps
7 0
3 years ago
Read 2 more answers
Other questions:
  • A polygon with all sides always congruent
    5·2 answers
  • Pleaseeee help, thank you
    5·1 answer
  • At state fair 4 employees were paid $8.18 and hour.They worked for 10 hours at regular price and then for 3 hours at overtime pr
    7·2 answers
  • What is 1/5 out of 40
    13·2 answers
  • BBB!!!!20 POINTS!!! ASAP. Two friends collect aluminum cans for a recycling project. One friend fills 23 bags with 36 cans each,
    13·1 answer
  • Joe charges 5 dollar to wash each floor, How many floors does joe need to wash to make at least $32?
    11·2 answers
  • Help please. Need to get this right to get 100%
    11·1 answer
  • If you have a bag full of balls. It has 6 blue balls, 6 red balls, and 6 green balls. Let's say you take three balls randomly at
    9·1 answer
  • What is 1+1=? PLZ i need help on this ppl keepp saying it is 11
    12·2 answers
  • What is 10 times as much as 30
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!