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Artyom0805 [142]
1 year ago
6

Determine, without graphing​, whether the graphs of the given equations are​ parallel, perpendicular, or neither. Explain your r

easoning. y=x+10 y=-x+5
Mathematics
1 answer:
Inessa05 [86]1 year ago
8 0

The graphs of the given equations are parallel.

<h3>What is the slope-intercept form of a line?</h3>

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equations are y = x +10 and y = x+5.

The equations are in the slope-intercept form of y = mx +b.

Therefore, the slopes of both lines are 1.

Two lines are parallel if they have the same slope.

Therefore, the graphs of the given equations are parallel.

To learn more about the slope-intercept form of a line, click here:

brainly.com/question/9682526

#SPJ1

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answer C i got it right 100%

Step-by-step explanation:

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The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
Paraphin [41]

Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
3 years ago
Mr. Miller owns two hotels and is ordering towels for the rooms. He ordered 27 hand towels and 48 bath towels for a bill of $540
Temka [501]

This question is based on the concept of solving a two linear equation.

Thus, the cost of one bath towel is $9 and one hand towel is $4.

Given:

Number of  ordered of hand towels is 27 and bath towels is 48 and for a bill of $540 for the first hotel.

Number of  ordered of hand towels is 50 and bath towels is 24 and for a bill of $416 for the other hotel.

We need tom determined the cost of one hand towel and one bath towel.

According to the question:

Let the  hand towels be h  and bath towels be b.

Therefore, equation of first hotel is

27h + 48b = 540........(1)

Equation of second hotel is

50h + 24b = 416.........(2)

Now, solving both equation for h and b.

Equation (2) multiplying by -2.

-100 h -48 b = - 832..................(3)

Now, solve equation (1) and (3)

27h + 48b = 540  and -100h - 48b = - 832

⇒ -73 h = - 292

⇒ h = -292 / -73

⇒ h = 4

Therefore, the cost of 1 hand towel is $4.

Now, putting the value of h = 4 in equation (1).

⇒ 27(4) + 48b = 540

⇒ 108 + 48b = 540

⇒ 48b = 540 - 108

⇒ 48b = 432

⇒ b = 432/48

⇒ b = 9

Therefore, the cost of 1 bath towel is $9.

Thus, the cost of one bath towel is $9 and one hand towel is $4.

For more details, prefer this link:

brainly.com/question/11897796

4 0
2 years ago
A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number a
rosijanka [135]

Answer:

Step-by-step explanation:

It's 21 lol

4 0
3 years ago
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