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Levart [38]
3 years ago
5

Determine if the function is proportional. Explain your reasoning.

Mathematics
1 answer:
andriy [413]3 years ago
4 0

Answer:

The ratio \frac{\textrm{Rent}}{\textrm{Number of Days}} is same for every pair of values.

Step-by-step explanation:

See the given graph.

The graph is a straight line which proves that the Rent in dollars is increasing at a constant rate with respect to time in Days. So, for a fixed change in time in Days, there will be a fixed change in the rent in Dollars.

Therefore, yes the function is proportional  and the ratio \frac{\textrm{Rent}}{\textrm{Number of Days}} is same for every pair of values.  

Hence, option 1 is correct.

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What is a formula for the nth term of the given sequence? 15, 24, 33
KatRina [158]

Answer:

The nth terms: 15,24,33,42,51,60,69,78,87,96,105...

Step-by-step explanation:

The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula

5 0
2 years ago
What is the sum of three tenths plus thirty nine hundredths equals blank a thirty six hundredths b forty two hundredths c sixty
ad-work [718]

Answer:c- sixty nine hundredths

Step-by-step explanation:

three tenths can be expressed in decimal as 3/10

thirty nine hundredths can be expressed in decimal as 39/100

Therefore the sum of three tenths plus thirty nine hundredths equals

3/10 +39/100

We first find the l.c.m of the two fractions equals 100 so we have 100 as the denominator

then 100 divided by 10  multiplied by 3 +100 divided by 100 multiplied by 39 as illustrated below gives the answer

3/10 +39/100

=30+39/100

=69/100= sixty nine hundredths

3 0
3 years ago
The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

5 0
3 years ago
How to write 8% sales tax as a decimal?
sergejj [24]

Answer:

0.08

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the slope and and y-int of y≤3
Neporo4naja [7]

Answer:

0

I hope this is the correct answer

7 0
2 years ago
Read 2 more answers
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