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Nikolay [14]
3 years ago
10

(0, 1) , (4, 2) equation in slope intercept form

Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

Answer:

2=1/4(4+b)

Step-by-step explanation:

(0,1), (4,2)

first, find the slope

slope formula- (y2-y1)/(x2-x1)

plug in the coordinates

(2-1)/(4-0)

subtract

1/4

slope=1/4

slope intercept form- y=mx+b

choose one of the coordinates to plug in

(4,2)

plug it in

2=1/4(4+b)

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Svetach [21]

Answer:

maybe 0

Step-by-step explanation:

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3 years ago
What is 35.77 rounded off to the nearest whole number
Alex777 [14]

Answer:

36

Step-by-step explanation:

since the .77 is larger than .5, you automatically round it up

6 0
3 years ago
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What are the potential solutions to the equation 2ln(x+3)=0
skad [1K]
2\ln(x+3)=0\implies \ln(x+3)^2=0\implies e^{\ln(x+3)^2}=e^0\implies (x+3)^2=1

Expanding the left side gives

x^2+6x+9=1\implies x^2+6x+8=0\implies (x+4)(x+2)=0

which gives two solutions, x=-4 and x=-2. But if x=-4, then \ln(x+3)=\ln(-1), but this number isn't real, so x=-4 is an extraneous solution. Meanwhile if x=-2, you get \ln(-2+3)=\ln1=0, so this solution is correct.

"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
4 0
3 years ago
Read 2 more answers
Solve the following equations x1/3=2 <br> Y-2=9<br> (2s)1/2=9<br> 2n-1=16
Nookie1986 [14]

x \times  \frac{1}{3}  = 2 \\  =  > x = 2 \times 3 \\  =  > x = 6

y - 2 = 9 \\  =  > y = 9 + 2 = 11

(2s) \frac{1}{2}  = 9 \\  =  > s = 9

2n - 1 = 16 \\  =  > 2n = 16 + 1 \\  =  > 2n = 17 \\  =  > n =  \frac{17}{2}  = 8.5

<h3>The answers are :</h3><h3>x = 6</h3><h3>y = 11</h3><h3>s = 9</h3><h3>n = 8.5</h3><h3>Hope it helps!</h3><h3 />

7 0
2 years ago
The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food cos
JulijaS [17]

Answer:

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given mean of the population = 500 </em>

<em>Given standard deviation of the Population = 75</em>

Let 'X' be the variable in normal distribution

      Z = \frac{x-mean}{S.D}

<em>Given X = $410</em>

<em></em>Z = \frac{410-500}{75} = - 1.2<em></em>

<u><em>Step(ii):-</em></u>

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

                  =  0.5 - A( -1.2)

                 = 0.5 - A(1.2)

                = 0.5 - 0.3849  ( ∵from normal table)

                = 0.1151

<u>Final answer:-</u>

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

6 0
3 years ago
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