MATHEMATICS HIGH SCHOOL

What is an equation of the line in slope-intercept form? m = two-sevenths and the y-intercept is (0, –12)A. y =two-seventhsx+ 12
B. y = two-seventhsx – 12
C. y = 12x–two-sevenths
D. y = 12x + two-sevenths

Answers

Answer 1

Answer:

Answer:

y = (2/7)x -12 (Answer Choice B)

Step-by-step explanation:

Take the given values ( m=2/7 and y-intercept (0,-12) ) and substitute them into y = mx + b:

y = (2/7)x -12

Answer 2

Answer:

Final answer:

The equation of a line in slope-intercept form, given the slope is two-sevenths and the y-intercept is (0, -12), is y = (two-sevenths)x - 12. So, the correct answer is B: y = two-seventhsx – 12.

Explanation:

The equation of a line in the slope-intercept form is usually represented as y = mx + b, where 'm' represents the slope of the line, and 'b' is the y-intercept. In your given conditions, the slope 'm' is given to be two-sevenths and the y-intercept as (0, –12). Therefore, replacing these values in the general slope-intercept equation will give you the specific equation of the line: y = (two-sevenths)x - 12. So, the correct answer is B: y = two-seventhsx – 12. This equation tells you that for each step you move to the right on the x-axis, you move two-sevenths steps up or down on the y-axis, beginning from the point where y is -12.

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NEED HELP ASAP.A linear function has a y-intercept of -12 and a slope of 3. What is the equation of the line?

Answers

Answer:

y = 3x - 12

Step-by-step explanation:

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A rectangular pool measures 10m by 5m. A deck, of uniform width, is to be built all the way around the pool such that the total area of the pool and deck will be126m2 . Set up and solve a quadratic equation to determine the width of the deck.

Answers

Answer:

The width of the deck is 2m .

Step-by-step explanation:

Let the width of the pool be represented by w. As stated in the problem a deck of uniform width is to be built so the total width of the pool and deck will be w+w = 2w.

Now the total dimensions can be taken as

10m+ 2w and 5m + 2w of both the pool and deck.

Area = length * breadth

126m ²= (10m+ 2w) ( 5m + 2w )

126= 50 + 30 w+ 4w²

0= 50 -126+ 30 w+ 4w²

0 = 30 w+ 4w²- 76

Taking 2 as common

0= 2( 15 w+ 2w² - 38)

2w²+ 15 w - 38= 0

The above equation is the quadratic equation and can be solved as follows.

a= 2 , b= 15 and c= -38

b= -b±√b²- 4ac/2a

Putting the values

b= - 15±√15²- 4( 2)(-38)/2(2)

b= - 15± 23/4

b= - 38/4 or 8/4

b= 2 m

The width cannot be negative so we ignore the negative value

The width of the deck is 2m .

The can be checked by putting the value in the original equation.

126m ²= (10m+ 2w) ( 5m + 2w )

126m ²= (10m+ 2(2)) ( 5m + 2(2) )

126m ²= (10m+ 4) ( 5m + 4 )

126m ²= 14*9

126m ²= 126m ²

Which conjunction or disjunction is equivalent to |t – 7| > 12?A.
t – 7 > 12 or t – 7 < –12
B.
t – 7 < 12 and t – 7 > –12
C.
t – 7 < 12 or t – 7 > –12
D.
t – 7 > 12 and t – 7 < –12

Answers

$|t-7| > 12\ \ \ \Leftrightarrow\ \ \ (t-7>12\ \ \ \ \ or\ \ \ \ \ -(t-7)>12)\ /\cdot (-1)\n\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ t-7>12\ \ \ \ \ or\ \ \ \ \ \ \ \ \ \ \ t-7<-12\n\nAns.\ A$

What are the coordinates of the midpoint of the line segment with endpoints R(4,−7) and S(−3,5)?

Answers

The answer is (.5,-1)

Based on the work shown to the left, which ofthese values are possible solutions of the
equation? Check all of the boxes that apply.

Answers

Answer:

A, D

Step-by-step explanation:

edge 2021

Answer:

sorry i cant answer without the picture it wont make sense.

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.19 and the probability that the flight will be delayed is 0.15. The probability that it will not rain and the flight will leave on time is 0.74. What is the probability that the flight would be delayed when it is not raining? Round your answer to the nearest thousandth.

Answers

The probability that the flight would be delayed when it is not raining is 12.15%.

Since at LaGuardia Airport, for a certain nightly flight, the probability that it will rain is 0.19 and the probability that the flight will be delayed is 0.15, while the probability that it will not rain and the flight will leave on time is 0.74 , to determine what is the probability that the flight would be delayed when it is not raining, the following calculation must be performed:

Probability that it will not rain = 1 - probability that it will rain
X = 1 - 0.19
X = 0.81

Probability that the flight would be delayed when it is not raining = probability that it is not raining x probability that the flight will be delayed
X = 0.81 x 0.15
X = 0.1215
0.1215 x 100 = 12.15

Therefore, the probability that the flight would be delayed when it is not raining is 12.15%.

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Final answer:

Explanation:

To find the probability that the flight would be delayed when it is not raining, we can use conditional probability. The probability that the flight will be delayed given that it is not raining can be calculated using the formula:
P(delayed | not raining) = P(delayed and not raining) / P(not raining)
We are given that P(delayed and not raining) = 0.74 and P(not raining) = 1 - 0.19 = 0.81. Substituting these values into the formula:
P(delayed | not raining) = 0.74 / 0.81 ≈ 0.914. Therefore, the probability that the flight would be delayed when it is not raining is approximately 0.914.