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3 years ago

The sum of two numbers is 39 . The larger number is 19 more than the smaller number. What are the numbers?

Mathematics

2 answers:

4vir4ik [10]3 years ago

8 0

ANSWER: The numbers are 20 and 19

39-19= 20

20+19= 39

Rasek [7]3 years ago

8 0

Answer:

i think the numbers are 10 and 29

Step-by-step explanation:

if one of the numbers is 19 more than the other: x+x+19=39

if you simplify you get: 2x+19=39

subtract 19 from both sides and you get: 2x=20

divide by 2 on both sides and you get: x=10

if one of the numbers is 10 and the other number is 19 more than 10 then 10+19=29

and 29+10=39

hope this helps! please ask questions if you need clarification

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Find the linear regression equation for the transformed data. x=1,2,3,4,5 y=13,19,37,91,253 log y=1.114,1.279,1.568,1.959,2,403

Talja [164]

Answer:

The answer is OPTION (D)log(y)=0.326x+0.687

<h2>Linear regression:</h2>

It is a linear model, e.g. a model that assumes a linear relationship between the input variables (x) and the single output variable (y)

The Linear regression equation for the transformed data:

We transform the predictor (x) values only. We transform the response (y) values only. We transform both the predictor (x) values and response (y) values.

(1, 13) 1.114

(2, 19) 1.279

(3, 37) 1.568

(4, 91) 1.959

(5, 253) 2.403

X Y Log(y)

1 13 1.114

2 19 1.740

3 37 2.543

4 91 3.381

5 253 4.226

Sum of X = 15

Sum of Y = 8.323

Mean X = 3

Mean Y = 1.6646

Sum of squares (SSX) = 10

Sum of products (SP) = 3.258

Regression Equation = ŷ = bX + a

b = SP/SSX = 3.26/10 = 0.3258

a = MY - bMX = 1.66 - (0.33*3) = 0.6872

ŷ = 0.3258X + 0.6872

The graph is plotted below:

The linear regression equation is log(y)=0.326x+0.687

Learn more about Linear regression equation here:

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2 years ago

Find the value of x in the following figure

loris [4]

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3 years ago

How to solve equations with the substitution method

Paul [167]

Answer:

In a system, the substitution method is one of the 3 main ways to solve a system and can be very efficient at times.

<u>Skills needed: Systems, Algebra</u>

Step-by-step explanation:

1) Let's say we are given two equations below:

$y=4x \\ 4x-5y=-32$

We can use substitution here by substituting in for $y$ in the second equation. This means we put in $4x$ for $y$ in the 2nd equation so we only have $x$ variables in the equation, allowing us to solve for $x$ .

2) Solving it out:

$1) 4x-5(4x)=-32 \\ 2) 4x-20x=-32 \\3) -16x=-32 \\4)x=2\\5)y=4x = 4(2) = 8 \\ 6)y=8$

We essentially substitute in that value as seen in step 1. Steps 2 and 3 are just simplifying the left side and allowing for us to solve. Step 4 is where we divide by -16 on both sides to solve for x. Step 5 and 6 show us solving for y using the value for x. We get $x=2,y=8$