What is the equation in slope-intercept form of a line that is perpendicular to y=2x+2 and passes through the point (4,3)?(A) y=−12x+5

(B) y=−2x+2

(C) y=2x+3

(D) y=2x+5

Therefore , the solution of the given problem of equation comes out to be  the system of equations' answers are (-1, -5) and (1, -5).

What is an equation?

The foundation of a regression model based on linearity is the equation y=mx+b. The inclination is B, and the y-intercept is m. Even though y but also y are separate components, the above line is frequently referred as the "mathematical issues with two variables". Two factors make up bivariate linear equations. There are no simple answers for the applications of linear functions. Y=mx+b .

Here,

We can change the second equation into the first equation to find the solution to the system of equations, which results in:

=> x² + (x²-6) = -4

By condensing and rearrangeing, we obtain:

=> 2x² = 2

=> x² = 1

Consequently, x can either be 1 or -1.

We can determine the appropriate values of y by substituting these values of x into either of the two equations:

When x Equals 1:

=> y = x² - 6 = 1 - 6 = -5

When x Equals -1:

=> y = x² - 6 = 1 - 6 = -5

As a result, the system of equations' answers are (-1, -5) and (1, -5).

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Answer:

99% confidence interval for the mean blood cholesterol of rats is between 72.66 milligrams per deciliter of blood and 97.34 milligrams per deciliter of blood

Step-by-step explanation:

Confidence Interval = mean (x) + or - margin of error (e)

e = t×s/√n

s = 12, n = 10, degree of freedom = n-1 = 10-1 = 9, t-value corresponding to 9 degrees of freedom and 99% confidence level is 3.250

e = 3.250×12/√10 = 12.34

Lower bound = x - e = 85 - 12.34 = 72.66

Upper bound = x + e = 85 + 12.34 = 97.34

99% confidence interval is (72.66, 97.34) milligrams per deciliter of blood

Answer: 85 +/- 9.79

= ( 75.21, 94.79)

Therefore at 99% confidence interval (a,b) = ( 75.21, 94.79)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 85

Standard deviation r = 12

Number of samples n = 10

Confidence interval = 99%

z(at 99% confidence) = 2.58

Substituting the values we have;

85 +/-2.58(12/√10)

85+/-2.58(3.795)

85 +/- 9.79

= ( 75.21, 94.79)

Therefore at 99% confidence interval (a,b) = ( 75.21, 94.79)

Answer:

Step-by-step explanation:

-3y - 7 = 29

-3y = 36

y = -12

60 on cleaning supplies

120 on books

Step-by-step explanation:

= 250-70= 180

= 180÷60=3

if theres 3 60s and he spent double on books two sixtys would go to books

= 60×2=120

remaining 60 goes to cleaning supplies.

Answer:

f(2) = 14

Step-by-step explanation:

Step 1: Define

f(x) = 2x³ - 2

f(2) = x = 2

Step 2: Substitute and evaluate

f(2) = 2(2)³ - 2

f(2) = 2(8) - 2

f(2) = 16 - 2

f(2) = 14