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Soloha48 [4]
4 years ago
13

which ordered pair could be added to the relation below to ensure it continues to be a function? (-7,9) (4,-1) (0,5) (-2,-2)

Mathematics
1 answer:
marin [14]4 years ago
4 0

Answer:

[see below]

Step-by-step explanation:

A function's inputs do not repeat. This means that any point with the x-value not repeated with the other points can be added to ensure that it continues as a function.

In this scenario:

{x| x ≠ -7, 4, 0, -2}

A point that does not have the x-value of -7, 0, 4, and -2 could be added to the relation to ensure it continues to be a function.

Hope this helps.

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Which two values of x are roots of the polynomial below? x2 + 3x - 5
lesya692 [45]

Answer:

Step-by-step explanation:

The roots are the values of x for which x² + 3x - 5 = 0.

Quadratic formula:

x = [-3±√(3²-4(1)(-5))]/(2·1) = [-3±√29]/2

3 0
3 years ago
Jack is trying to make extra money on his summer vacation from school. He works two different jobs, earning $9 per hour washing
Sveta_85 [38]

Answer:

$57

9w+6d

Step-by-step explanation:

Given that:

Earnings per hour for washing cars = $9

Earnings per hour for walking dogs = $6

Number of hours for which car washing is done = w

Number of hours taken for walking dogs = d

Earnings for w hours for washing cars = Per hour earnings multiplied by number of hours = $9w

Earnings for d hours for walking dogs = Per hour earnings multiplied by number of hours = $6d

Total earnings by both = $(9w+6d)

Now, given that

Number of hours spent washing cars = 5 hours

Number of hours spent walking dogs = 2 hours

Therefore, total earnings by both = 9 \times 5 + 6 \times 2 = <em>$57</em>

5 0
3 years ago
Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh
svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e^{0.0205t}    (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 =  p = 130e^{0.0205(29)}

p = 130e^{0.5945}

p =130(1.81212465608)=235.57620529\approx236

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

300 = 130e^{0.0205t}

2.3077= e^{0.0205t} (Divide both sides by 130)

Taking Natural log on both sides,

\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}

t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

6 0
3 years ago
Eve's mother has a large collection of shoes. She has 18 pairs of shoes, and 6 of them are boots.
Umnica [9.8K]

Answer:

8+5+2+5=205 boots = 5/20 or 1/41÷4= 0.250.25 × 100 = 25%

Step-by-step explanation:

sorry if im wrong

4 0
3 years ago
Read 2 more answers
Given that a = 10,
tankabanditka [31]

Since a = 10 and b = 2x + 5, we have

ab=10(2x+5)=20x+50

So, the equation becomes

ab = 6x^2 +11x-10 \iff 20x+50= 6x^2 +11x-10 \iff 6x^2-9x-60=0

The solutions to this equation are 4 and -5/2, so I'm afraid there's a typo in your question.

3 0
3 years ago
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