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weqwewe [10]
2 years ago
11

Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.

Mathematics
1 answer:
PtichkaEL [24]2 years ago
5 0

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The point is on the line.

The coordinate values satisfy the equation:

  1/3x + y = 12

  1/3(3) + 11 = 12 . . . substitute for x and y

  1 + 11 = 12 . . . . . . . true

Any point that satisfies the equation is a solution. (3, 11) is a solution.

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P and q are points on the line y=2-4X <br><br>Draw the line y= 2-4X for vales of x from -2 to 2
pishuonlain [190]

Answer:

`The answer is below

Step-by-step explanation:

P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)

Draw the line y= 2-4X for vales of x from -2 to 2

Solution:

The equation of a line is given by:

y = mx + b

Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).

The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.

x:   -2      -1       0        1        2

y:   10      6       2       -2       -6

The value P(0, ) Q( ,0)

The y coordinate of point P is gotten by substituting x = 0:

y = 2 - 4(0) = 2

P = (0, 2)

The x coordinate of point Q is gotten by substituting y = 0:

0 = 2 - 4x

4x = 2

x = 0.5

Q = (0.5, 0)

8 0
2 years ago
Find the y-intercept and the x-intercept of the line 2x-4y=10
kompoz [17]
Finding y intercept and x intercept is easy:

X intercept will be of the form (x,0) and y intercept will be of the form (0,y)

● If you put x=0 in the equation, you will get y-intercept.

● If you put y=0 in the equation, you will get x-intercept.
______________________________

Given equation: 2x - 4y = 10

◆ Put x = 0
2×0 - 4y = 10
=> -4y = 10
=> y = 10/(-4)
=> y = -5/2

Thus y intercept is (0, -5/2)

◆Put y = 0
2x - 4×0 = 10
=> 2x = 10
=> x = 10/2
=> x = 5

Thus the x intercept is (5,0)
4 0
3 years ago
What’s the answer?? Pls help
Artemon [7]

Answer:

11

Step-by-step explanation:

w

8 0
3 years ago
3x-24 x+10 what is the value of x
Arisa [49]
3x-24=x+10
3x-x=24+10
2x=34
x=34:2=17
8 0
3 years ago
Read 2 more answers
An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 44 and σ = 5.0. (a) What is
aalyn [17]

Answer:

Step-by-step explanation:

Using normal distribution,

z = (x - μ)/σ

μ= mean = 44 and

σ = standard deviation= 5.0

a) The probability that yield strength is at most 40=

P( x lesser than or equal to 40)

z = (40-44)/5= -0.8

Looking at the normal distribution table,

P( x lesser than or equal to 40) =0.2119

b) P(x greater than 62) = 1 - P(x lesser than or equal to 62)

z = (62-44)/5= 3.6

Looking at the normal distribution table,

P(x greater than 62) = 1 -0.99984

= 0.00016

c)P( 42 lesser than or equal to x lesser than or equal to 62)

= P(x lesser than or equal to 62) - P( x lesser than or equal to 40)

= 0.99987-0.2119= 0.78797

d) What yield strength value separates the strongest 75% from the others.

To get x for strongest 75, we get the z value corresponding to 0.75 from the table

z = 0.675= (x-44)/5

x = 3.375+44 = 47.375

The rest is 25% = 0.25

we get the z value corresponding to 0.25 from the table)

z = -0.67 = (x-44)/5

-3.35= x -44

x = -44+3.35= 40.65

yield strength value that separates the strongest 75% from the others

=47.375-40.65= 6.725

3 0
3 years ago
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