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Leto [7]
3 years ago
14

Passes through ( 4, 7 ) slope =2​

Mathematics
2 answers:
worty [1.4K]3 years ago
7 0

Answer:

y = 2x -1

Step-by-step explanation:

y = mx + b

y = 2x + b

7 = 2(4) + b

7 = 8 + b

-8  -8

-1 = b

ahrayia [7]3 years ago
4 0

Answer:

I'm assuming it's asking for the equation of the line

y = 2x - 1

Step-by-step explanation:

Step 1:  Use the formula y = mx + b to solve

This is slope-intercept form of a line.  We are given the slope of 2 in the question, and a point (x, y), which is (4, 7).  Plug those values into the equation above and solve for b (the only variable we are missing

7 = 2(4) + b

   7 = 8 + b  

   -1 = b

Step 2: Rewrite the formula using the slope and the b value we just calculated

 y = 2x - 1

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14.What is the solution of the system?
Archy [21]

Answer:

14.  x=-2.5,  y = -7

15.  x=28  y = -20

Step-by-step explanation:

14.  Let's solve this system by elimination.  Multiply the first equation by -1.

-1*(4x-y)= -1*(- 3)

-4x +y = 3

Then add this to the second equation.

-4x+y = 3

6x-y= - 8

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

2x   = -5


Divide each side by 2

x = -2.5

We still need to find y

-4x+y =3

-4(-2.5) + y =3

10 +y =3

Subtract 10 from each side.

y = 3-10

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15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with.   I will elimiate the y variable.  Multiply the first equation by 11

11( 5x+6y)= 11*20

55x+66y = 220

Multiply the second equation by -6

-6(9x+11y)=32*(-6)

-54x-66y = -192


Add the modified equations together.

55x+66y = 220

-54x-66y = -192

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

x = 28

We still need to solve for y

5x+6y = 20

5*28 + 6y =20

140 + 6y = 20

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6y = -120

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3 0
3 years ago
(Ross, 4.78) A jar contains 4 white and 4 black marbles. We randomly choose 4 marbles. If 2 of them are white and 2 are black, w
KATRIN_1 [288]

Answer:

Step-by-step explanation:

Given

Jar contains 4 white and 4 black marbles

We randomly select 4 marbles out of which 2 are white and 2 are black

Probability that 2 white and 2 black marbles are selected is

P=\frac{^4C_2\times ^4C_2}{^8C_4}

P=\frac{18}{35}

The process is continue for n trails until we choose the correct order

i.e. we have to fail in n-1 trails

For exact n selection Probability is given by

Req.\ Probability=Probability\ of\ failure\ in\ (n-1)\ trials\times Probability\ of\ getting\ exact\ order

=\left ( 1-\frac{18}{35}\right )^{n-1}\times \frac{18}{35}

8 0
3 years ago
Kyle went to the store to purchase a hat. The hat’s normal price is $50, but he used a coupon which allowed him to save $20. Wha
tiny-mole [99]

Answer:

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$20 would be 40%

50= 100

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30= 60

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4 0
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Simplify 4(4a+5b-3)
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