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CaHeK987 [17]
2 years ago
13

2. What is the domain and range of the

Mathematics
1 answer:
Lapatulllka [165]2 years ago
6 0

Answer:

  • domain: x ≥ 0
  • range: y ≥ 0

Step-by-step explanation:

The domain of a function is the set of x-values for which it is defined. The range of a function is the set of y-values the function produces.

<h3>Domain</h3>

The domain is the horizontal extent of the graph. This graph extends from x=0 toward x→∞. The domain is x ≥ 0. In interval notation, it is written [0, ∞).

<h3>Range</h3>

The range is the vertical extent of the graph. This graph extends from y=0 toward y→∞. The range is y ≥ 0. In interval notation, it is written [0, ∞).

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Fiona wrote the linear equation y = 2/5 x – 5. When Henry wrote his equation, they discovered that his equation had all the same
Hoochie [10]

we have

y=\frac{2}{5}x-5

Let's Isolate the variable y in each of the cases and then compare with Fiona's equation  to determine the solution of the problem

case A) x-\frac{5}{4}y= \frac{25}{4}

Multiply by 4 both sides

4x-5y= 25

5y=4x-25

Divide by 5 both sides

y=\frac{4}{5}x-5

therefore

the case A) is not equal to Fiona's equation

case B) x-\frac{5}{2}y= \frac{25}{4}

Multiply by 4 both sides

4x-10y= 25

10y=4x-25

Divide by 10 both sides

y=\frac{2}{5}x-2.5

therefore

the case B) is not equal to Fiona's equation

case C) x-\frac{5}{4}y= \frac{25}{2}

Multiply by 4 both sides

4x-5y= 50

5y=4x-50

Divide by 5 both sides

y=\frac{4}{5}x-10

therefore

the case C) is not equal to Fiona's equation

case D) x-\frac{5}{2}y= \frac{25}{2}

Multiply by 2 both sides

2x-5y= 25

5y=2x-25

Divide by 5 both sides

y=\frac{2}{5}x-5

therefore

the case D) is  equal to Fiona's equation

<u>the answer is</u>

x-\frac{5}{2}y= \frac{25}{2}



7 0
3 years ago
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Jocelyn has a collection of antique toy cars. She purchases a car for $450. Research shows this car's value will increase by 2.6
stich3 [128]

Answer:

Step-by-step explanation:

Y=y

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3 years ago
Explain the reflexive property
yawa3891 [41]
All it means is that a number equals itself, for example 5=5 (pretty obvious ik but it's that simple). Remember it by thinking that a number would look into the mirror and see itself in its reflection (kinda sounds like reflexive).
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2 years ago
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The distribution of bladder volume in men is approximately Normal with mean 550 ml and standard deviation 100 ml.
Ganezh [65]

Answer:

a) 15.866%

b) Middle 95% = 350 ml to 750 ml

c) 0.3829

d) Middle 90% of men’s bladder fall = 385.5ml to 714.5 ml

Step-by-step explanation:

We solve using z score formula

z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

The distribution of bladder volume in men is approximately Normal with mean 550 ml and standard deviation 100 ml.

Required:

a. What percent of men have a bladder volume smaller than 450 ml?

z = 450 - 550/100

= -1

P-value from Z-Table:

P(x<450) = 0.15866

Convert to percentage

0.15866 × 100

= 15.866%

b. Between what volumes do the middle 95% of men’s bladders fall?

Middle 95% falls between 2 standard deviation of the mean

μ ± 2σ

μ - 2σ

550 - 2(100)

= 550 - 200

= 350 ml

μ + 2σ

= 550 + 2(100)

= 550 + 200

= 750 ml

Middle 95% = 350 ml to 750 ml

c. What proportion of male bladders are between 500 and 600 ml?

For 500ml

z = 500 - 550/100

= -0.5

Probability value from Z-Table:

P(x = 500) = 0.30854

For 600ml

z = 600 - 550/100

= 0.5

Probabilty value from Z-Table:

P(x = 600) = 0.69146

Proportion of male bladders are between 500 and 600 ml

P(x = 600) - P(x = 500)

0.69146 - 0.30854

= 0.38292

≈ 0.3829

d. What volumes do the middle 90% of men’s bladder fall?

The z score for middle 90% + / – 1.645

Hence,

1.645 = x - 550/100

1.645 × 100 = x - 550

164.5 + 550 = x

x = 714.5 ml

-1.645 = x - 550/100

-1.645 × 100 = x - 550

- 164.5 + 550 = x

x = 385.5ml

Middle 90% of men’s bladder fall = 385.5ml to 714.5 ml

4 0
3 years ago
Can u help me with these please!
dimaraw [331]

Answer: question one on the sheet AB + 2(CD) =16  and 2(AB)-CD=8 question 3 CD and JK have the same length question 4 EF and AD have the same length question 5 GH is different from all the lengths

question 6 its  (3,4) (-1,-3) (4,-1) question 7 (-3,-1) (4,-4) (0,4) srry if im wrong on most of them

Step-by-step explanation: bc im confident

8 0
3 years ago
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