All categories

3 years ago

Which point is NOT on the line y = 5x + 1?

1 answer:

7 0

To find which point is NOT on the line y = 5x + 1, we just need to plug each point into equation y=5x+1 to see which one point satisfies this equation.

check for (1,6)

y=5x+1

or 6=5*1+1

or 6=5+1

or 6=6

Which is TRUE.

--------

check for (2,11)

y=5x+1

or 11=5*2+1

or 11=10+1

or 11=11

Which is TRUE.

--------

check for (0,1)

y=5x+1

or 1=5*0+1

or 1=0+1

or 1=1

Which is TRUE.

--------

check for (-1,6)

y=5x+1

or 6=5*(-1)+1

or 6=-5+1

or 6=-4

Which is FALSE.

--------

Since only point (-1,6) fails to satisfy the given equation hence point (-1,6) is the final answer.

You might be interested in

Two cities are building bicycle paths. Charles City has built 5km of bicycle paths by the end of the first month, and the total

sergey [27]

Answer:

Month 4

Step-by-step explanation:

To solve this problem we must propose an equation that models the number of kilometers of bicycle trails made monthly in Charles City and in Tinsel Town

For Charles City we know that the number of kilometers built in the first month is 5, and it doubles every month. Then we have an exponential equation, in base 2, whose initial value is 5.

This equation has the following form:

$y = C_1 (2^{x-1})$

Where:

$C_1$ is the number of kilometers built in month 1

x is the number of months: {1, 2, 3, 4, 5 ... x}

x = 1 represents month 1.

So:

$Charles\ City\ (km) = 5(2^{x-1})$

For Tinsel Town we know that the number of kilometers built in the first month is 21 and increases at a fixed rate of 5 kilometers per month. This can be modeled by a linear equation.

$Tinsel\ Town\ (km) = 21 + 5(x-1)$

Where x is the number of months. x: {1, 2, 3, 4, 5 ...}

We want to know at the end of what month the total length of the cycle lanes in Charles City first exceeds the length in Tinsel Town

Then we equal both equations and clear x.

$5 (2^{x-1}) = 21 + 5(x-1)\\\\5 (2^{x-1}) - (21 + 5(x-1)) = 0$

Clearing x from this equation is very difficult, so to find x, we iterate until we get the value of x that causes the equation to approach 0.

For x = 3

$5(2^{3-1}) - (21 +5(3-1)) = 0\\\\20- 31= -11$

For x = 4

$5(2^{4-1}) - (21 +5(4-1)) = 0\\\\40 - 36 = 4$

The value must be between x = 3 and x = 4

For x = 3.8

$5 (2^{3.8-1}) - (21 +5(3.8-1)) = 0\\\\34.82 - 35 = 0.18$

Then x ≈ 3.8 months.

Finally we have that By the end of the fourth month the total length of the cycle lanes in Charles City exceeds the length in Tinsel Town

6 0

4 years ago

A tutor earns d dollars per hour. He will be increaseing his hourly wage by 10 percent next month. He tells one of his clients t

Stels [109]

Yes it is correct, because 10 percent is 110/100, which equals to 1.1.

Hope this helps.

8 0

3 years ago

Help porfavor, please

lakkis [162]

Answer:

Option A, (-7, -3)

Step-by-step explanation:

The answer is: Option A, (-7, -3)

6 0

3 years ago

HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP

Soloha48 [4]

Answers:

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

----------------------------------------------------------------------------------------------------------------

Explanations:

1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.

1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

Therefore, we can predict that when x is 21, y is 20.

1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

Therefore, we can predict that when y is 150, x is -18.

----------------------------------------------------------------------------------------------------------------

2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:

Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.

Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean. To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.

Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.

2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

3 0

3 years ago

A survey was done where males and females were asked if they would prefer to eat chicken or steak. The results of the survey are

alexgriva [62]

Answer:

Step-by-step explanation:

Number of tickets for international flights = 36

Total number of tickets = 95

The probability that a randomly selected airline ticket is for an international flight = 36 / 95 = 0.3789

The probability that a randomly selected airline ticket is for an international flight as a percent rounded to the nearest tenth of a percent = 0.3789 x 100 = 37.9%

% of males surveyed = 0.236 + 0.218 = 0.454 = 45.4%

% of males surveyed who prefer chicken = 0.236 out of 0.454 = 0.236 / 0.454 = 0.5198 = 51.58% = 52.0%

hope this helps~

6 0

3 years ago

Read 2 more answers