2-7 Using Function Notation
Select an example from the list below which correctly demonstrates that a relation does not need to be a function to have a domain and range.

A. The relation {(−1, 1), (0, 2), (3, −2), (5, 2)} is not a function, but the relation has a domain of {−1, 0, 3, 5} and a range of {1, 2, −2}.
B. The relation {−1, 0, 3, 5} is not a function and has no domain or range.
C. The relation {(0, 1), (0, 2), (0, 3), (0, 4)} is not a function, but the relation has a domain of {1, 2, 3, 4} and a range of {0}.
D. The relation {(0, 1), (0, 2), (0, 3), (0, 4)} is not a function, but the relation has a domain of {0} and a range of {1, 2, 3, 4}.

Answer:

12% decrease

Step-by-step explanation:

50 - 44 = 6

6/50 = 0.12 or 12% decrease

Answer:

Step-by-step explanation:

See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:

  sin(4π/3) = -√3/2

  cos(4π/3) = -1/2

  tan(4π/3) = sin/cos = √3

  sec(4π/3) = 1/cos = -2

  csc(4π/3) = 1/sin = -(2√3)/3

  cot(4π/3) = 1/tan = (√3)/3

_____

Additional comment

It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.

Answer:

Architect

Surveyor

Mechanical Engineer

Drafter

Step-by-step explanation:

Architects utilize geometric principles while designing layouts for their ongoing projects, which can include buildings, electrical systems, and plumbing architecture.

Surveyors use geometry to take exact measurements of boundaries for different types of property.

Mechanical engineers, some of the most diversified engineers, use a multitude of geometric concepts to design mechanical devices, or update existing structures

Drafters use the same geometric knowledge and applications as architects and engineers, drafters create design plans with the use of computer-aided design (CAD) software.

Answer:

architects

civil engineers

designers who use computer-aided design

astronomers

air traffic controllers

interior designers

jewelry designers                          

painters

photographers

sculptors

landscape designers

carpenters

plumbers

Step-by-step explanation:

plato/edmentum

Answer:

270 students and 90 adults

Step-by-step explanation:

3a=9s  a+s=360

a=3s

(3s)+s=360

4s=360

s=90

3a=9(90)

3a=810

a=270

Answer yes 569

............................................

Answer:

7x+10

Step-by-step explanation:

use distributive property on 5(x+2)

your expression is now 5x+10+2x

Combine like terms so now your answer is 7x+10

Hope this helps

Answer:

a. false its 1.411 lbs

b. false its 8.469 lbs

c. true

d. true

Answer:

a. false its 1.411 lbs

b. false its 8.469 lbs

c. true

d. true

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

N(t) = 29t²-115t+52

T(t) = 6t+1.5

To get the composite function N(T(t)), we will follow the steps

N(T(t)) = N(6t+1.5)

To get N(6t+1.5), we will replace t in N(t) with 6t+1.5 as shown:

N(6t+1.5) = 29(6t+1.5)²-115(6t+1.5)+52

N(6t+1.5) = 29(36t²+18t+2.25)-690t-172.5+52

N(6t+1.5) = 1044t²+522t+65.25-690t-172.5+52

N(6t+1.5) = 1044t²+522t-690t+65.25-172.5+52

N(6t+1.5) = 1044t²-168t-55.35

Hence;

N(T(t)) = 1044t²-168t-55.35

To determine the time when the bacteria count reaches 500, we will equate the expression to 500 and find t

500 = 1044t²-168t-55.35

1044t²-168t-55.35-500= 0

1044t²-168t-555.35 = 0

Factorize

t =140±√1630115/1740

t = 0.81

Hence the time reached when the bacteria was 500 hours is 0.81hours

The answer is (-2, -1.5, 0, 2/5, 3/4)

Answer:

the answer is c

Step-by-step explanation:

because -2 is less than -1.5 0 is going to be in the middle because it separates positive from negatives. and 2/5 is smaller then 3/4

Answer: 638

Step-by-step explanation:

4090 - 3452 = 638

Hope this helps!

Answer:

The mapping represents y as a function of x, because each x value corresponds to exactly 1 y value.

Step-by-step explanation:

Functions are defined to map out to only one value so that rules everything else out and leave us with only one answer.

Hope it helps.

Answer: x > 2

Step-by-step explanation:

First, you need to isolate the variable by subtracting each side by 15.

4x + 15 > 23

      -15    -15

= 4x > 8

To get the value for the variable, divide each side by 4.

4x/4 = x  8/2 = 2

x>2

Answer:

Step-by-step explanation:

4x + 15 > 23

4x > 8

x > 2

Answer:

we need options and stuff

Step-by-step explanation:

other wise cant help sorry

Answer:

See below

Step-by-step explanation:

As CD⊥AB, ∠BDC = ∠ADC = 90°

∠BDC ≅ ∠ADC

and

We can substitute ∠ADC with ∠BDC and ∠DAC with ∠DBC

Then we get same equation for ∠BCD and ∠ACD

Therefore ∠BCD = ∠ACD = 1/2∠ACB

It proves that CD bisects ∠ACB

Answer:

Step-by-step explanation:

Answer:

a=1

Step-by-step explanation:

To make this easier, combine like terms first.

-5+2a=4a-4-3a

-5+2a=a-4

Then, add 5 on both sides.

-5+2a=a-4

+5         +5

2a=a+1

Now, subtract a on both sides.

2a=a+1

-a  -a

a=1

Hope this helps you out!!!! Have an amazing day :3

Answer:

no. in an isometric transformation, the side lenths all stay the same. in this transformation (which is a dilation), the size lengths decreased, so it is not isometric.

Step-by-step explanation:

Answer:

4n+11

Step-by-step explanation:

-2n+6n=4n

Hope this helps! :)

Answer:

4n+11

Step-by-step explanation:

Move the variables together

-2n+6n+11

4n+11

Answer:

Neither I am sure because if to the equation the answer is same

9514 1404 393

Answer:

  d  4x +y = 17

Step-by-step explanation:

The only equation satisfied by the given point is also in standard form:

  4x +y = 17

__

Trying the given point in the different equations, we have ...

a) 4x -y = 4(5) -(-3) = 23

b) 4x +y = 4(5) +(-3) = 17

c) -4x +y = -4(5) +(-3) = -23

d) 4x +y = 4(5) +(-3) = 17 . . . . equation D matches the point

Solving for y, we have ...

  y = -4x +17  . . . .  a slope of -4 . . . . equation D matches the slope

Answer: What Proportion Of These Motors Will Last Somewhere Between 8 And 11 Years? 2. What's The Probability That A Randomly Selected Motor Will Last More

the number of standard deviations a value is from the mean ... Suppose X ~ N(8, 1). ... Find the probability that a CD player will last between 2.8 and six years. a. ... A child who weighs 11 kg is one standard deviation above the mean of 10.2 kg. b. ... There is about a 68% chance that the number of heads will be somewhere.

Answer:5?

Step-by-step explanation:2+3 is 5 unless your doing some other math?

Answer:

option 4

Step-by-step explanation:

the first movement is a translation and then it is reflected over the y axis

Answer:

A

Step-by-step explanation:

Answer:

1.5 percent

Step-by-step explanation:

Answer:

0.44

Step-by-step explanation:

May 1st was a sunny day. May 10th was a sunny day. The date closest to May 3rd is May 1st so analysis can start from there.

The probability that the weather one day is same as the weather on the previous day = 2/3

In this light, the probability that May 2nd was a sunny day is 2/3 (since May 1st was sunny).

The probability that it was sunny on May 3rd is  2/3 of 2/3  = 2/3 × 2/3  = 4/9 = 0.44

Answer:

10x-14=26

Step-by-step explanation:

x = 4

10 x 4 = 40

40 - 14 = 26

Answer:

26

Step-by-step explanation:

In order to answer this question, we must first find what x equals, so we need to solve for x in the equation 5x - 7 = 13:

5x - 7 = 13

     +7   +7

5x = 20

/5     /5

x = 4

Now, we plug in 4 for 'x' in the equation 10x - 14:

10(4) - 14 =

40 - 14 =

26

So, 10(4) - 14 = 26

Hope this helps :)