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Vlada [557]
2 years ago
9

Y =x/2-5 answer what is the slope?

Mathematics
1 answer:
Drupady [299]2 years ago
3 0
The answer is M= -1/3
You might be interested in
F(x)=x^2+10x-12
weqwewe [10]

Answer:

Therefore the two values required are 2.08 and -11.08.

Step-by-step explanation:

i) f(x) = x^{2} +  10x - 12 is a quadratic equation and a quadratic equation will have two roots whose values when substituted in to the given quadratic equation will give the value.

ii) The question is therefore essentially asking us to find the roots of the given quadratic equation.

This can be done by equating the given quadratic equation to zero and then solving the equation for its roots.

∴ x^{2} + 10x -12 = 0    ⇒    x  = (-10 ± \sqrt{10^{2} +(48)} ) ÷ 2                                                          

                                          = (-10 ± 12.166)÷2        =   2.08, -11.08

Therefore the two values required are 2.08 and -11.08

3 0
3 years ago
Apple juice costs $3.00 after a 40% discount. Which equation would allow you to find the original price of the apple juice. X re
Stells [14]

Answer: 0.4x = 3 is the answer

Step-by-step explanation:

4 0
3 years ago
X+2/x^2+2x-3/x+2/x^2-x
Sergio [31]

Answer:

2x3 - 3x + 4

 ———————

      x2  

Step-by-step explanation:

Step  1  :

                  2

Simplify   ——

                  x2

Rewriting the whole as an Equivalent Fraction :

4.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  x2  as the denominator :

           x             x • x2

    x =  —  =  ——————

            1                 x2  

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        5.00    

     -1       2        -0.50        5.25    

     -2       1        -2.00        -6.00    

     -4       1        -4.00        -112.00    

     1       1        1.00        3.00    

     1       2        0.50        2.75    

     2       1        2.00        14.00    

     4       1        4.00        120.00    

Polynomial Roots Calculator found no rational roots

Final result :

 2x3 - 3x + 4

 ————————————

      x2    

Processing ends successfully

plz mark me as brainliest :)

3 0
3 years ago
A=1/2bh for h<br><br> Need help
Zarrin [17]

Answer:

2A/b = h

Step-by-step explanation:

A=1/2bh

Multiply each side by 2

2A = 2 * 1/2 bh

2A = bh

Divide each side by b

2A/b = bh/b

2A/b = h

6 0
3 years ago
A linear regression model is fitted to the data x y 37.0 65.0 36.4 67.2 35.8 70.3 34.3 71.9 33.7 73.8 32.1 75.7 31.5 77.9 with x
andrey2020 [161]

Answer:

b0= 144.59

b= -2.12

Se²= 1.02

99%CI E(Y/X=35): [68.78; 71.99]

Step-by-step explanation:

Hello!

I've arranged the given data:

X: 37.0, 36.4, 35.8, 34.3, 33.7, 32.1, 31.5

Y: 65.0, 67.2, 70.3, 71.9, 73.8, 75.7, 77.9

The equation of the linear regression model is:

Yi= β₀ + βXi + εi

Where

Yi is the dependent variable

Xi is the independent variable

εi represents the errors or residues

β₀ is the intercept of the line

β is the slope

The conditions to make a linear regression analysis are:

For each given value of X, there is a population of Y~N(μy;σy²)

Each value of Y is independent of the others.

The population variances of each population of Y are equal.

From these conditions the following characteristic is deduced:

εi~N(0;σ²)

The parameters of the regression are:

β₀, β, and σ²

If the conditions are met then you can estimate the regression line:

Yi= bo * bXi + ei.

And the point estimation of the parameters can be calculated using the formulas:

β₀ ⇒ b0= (∑y/n)-b(∑x/n)

β ⇒ b= [∑xy- ((∑x)(∑y))/n]/(∑x²-((∑x)²/n))

σ²⇒ Se²= 1/(n-2)*[∑y²-(∑y)²/n - b²(∑x²-(∑x)²/n)]

n= 7

∑y= 501.80

∑y²= 36097.88

∑x= 240.80

∑x²= 8310.44

∑xy= 17204.87

b0= 144.59

b= -2.12

Se²= 1.02

The estimated regression line is:

Yi= 144.59 -2.12Xi

You need to calculate a 99%CI E(Y/X=35), the formula is:

(b0 + bX0) ± t_{n-2;1-\alpha /2}*\sqrt{S_e^2(\frac{1}{n}+\frac{(X_0-X[bar])^2}{sumX^2-(\frac{(sumX)^2}{n} )} )}

(144.59 + (-2.12*35)) ± 4.032*\sqrt{1.02(\frac{1}{7}+\frac{(35-34.4)^2}{8310.44-(\frac{(240.80)^2}{7} )} )}

[68.78; 71.99]

With a 99% confidence level youd expect that the interval [68.78; 71.99] contains the true value of the average of Y when X= 35.

I hope it helps!

6 0
3 years ago
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