What is the slope-intercept form of a line

1 answer:

7 0

The first of the forms for a linear equation is slope-intercept form. Equations in slope-intercept form look like this: y = mx + b. where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis.

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1) A light bulb producing company states that its lights will last an average of 1200 hours with a standard deviation of 200 hou

Ronch [10]

The mean ( average ) is given as 1200 hours.

The standard deviation is 200, sample size is 100.

Find the standard error:

√(200^2 / 100) = 20

Now calculate the confidence interval. For 95% the Z number is 1.96

Multiply Z by the standard error:

1.96 x 20 =39.2

Now find the range that the mean should be within:

1200 - 39.2 = 1160.8

1200 + 39.2 = 1239.2

The samples should be between 1160.8 and 1239.2 for a 95% confidence interval.

Since the average was 1050, which is below 1160.8 the bulbs are not in compliance.

4 0

3 years ago

Y=8(x^2+4)+17+-32 in vertex form

Yakvenalex [24]

$y = 8( {x}^{2} + 4) + 17 + ( - 32)$
$y = 8( {x}^{2} + 4) + 17 - 32$
$y = 8 {x}^{2} + 32 + 17 - 32$
$y = 8 {x}^{2} + 17$
compare to the formula:
$y = a( {x}^{2} - h) + k$
$y = 8( {x}^{2} - 0) + 17$
a = 8
h = 0
k = 17

3 0

3 years ago

The graph of y = x^2 is translated 1 unit to the right. What is the equation of the new graph?

Burka [1]

Answer: 2

Step-by-step explanation:

If the number was OUTSIDE the exponents it represents a movement up or down

If the number is inside the parenthesis and exponent ex: (x-1)^2 then it decides a movement on the left or right

However inside the parenthesis it is reversed, so a - is move to the right and a + is moved to the left, this making your answer (x-1)^2

- Gage Millar, Algebra 2 Tutor

5 0

2 years ago