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Leto [7]
2 years ago
13

Slope y = 4x + 3 y = -1x -2 y = -6x - 3 y = -1x + 2 = #1 #2 Х Х

Mathematics
1 answer:
bearhunter [10]2 years ago
6 0

Assuming your asking for two sets of systems of equations.

#1: {y,x}={-1,-1}

Steps:

Solve by Substitution :

// Solve equation [2] for the variable  x

[2]    x = -y - 2

// Plug this in for variable  x  in equation [1]

[1]    y - 4•(-y -2) = 3

  [1]    5y = -5

// Solve equation [1] for the variable  y

  [1]    5y = - 5

 [1]    y = - 1

// By now we know this much :

  y = -1

   x = -y-2

// Use the  y  value to solve for  x

x = -(-1)-2 = -1

Solution :

{y,x} = {-1,-1}

2: {y,x}={3,-1}

Steps:

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    x = -y + 2

// Plug this in for variable  x  in equation [1]

 [1]    y + 6•(-y +2) = -3

  [1]    -5y = -15

// Solve equation [1] for the variable  y

[1]    5y = 15

[1]    y = 3

// By now we know this much :

y = 3

x = -y+2

// Use the  y  value to solve for  x

x = -(3)+2 = -1

Solution :

{y,x} = {3,-1}

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Answer: x  =  2 /3  ,  −  1

Step-by-step explanation:

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2 years ago
Find the measure of an angle who's measure is 20 less than the measure of its supplement.
Dvinal [7]

supplementary angles add up to 180°.


x = measure of such angle


x + 20 = measure of her sibling.


since "x" has 20 less than her sibling, then clearly her sibling has to have 20 more than "x".


\bf (x)+\stackrel{sibling}{(x+20)}=180\implies 2x+20=180\implies 2x=160 \\\\\\ x=\cfrac{160}{2}\implies x=80

7 0
3 years ago
Consider the population regression of log earnings [Yᵢ, where Yᵢ= ln(Earningsᵢ)] against two binary variables:
puteri [66]

Answer:

A) allows the population effect on log earnings of being married to depend on gender

Step-by-step explanation:

The regression equation of a dependent variable based on two or more independent variables is of the form:

Y=b_{0}+b_{1}X_{1} +b_{2}X_{2}+b_{3}X_{1}X_{2}

Here,

<em>Y</em> = dependent variable

X_{1} and X_{2} = independent variables

X_{1}X_{2} = interaction term

b_{1},\ b_{2}\ and \ b_{3} = regression coefficients.

If there is a significant interaction effect present then this implies that the effect of one independent variable (X_{1} orX_{2} ) on the dependent variable (<em>Y</em>) differs every time with different value of the other independent variable  (X_{1} orX_{2} ) .

The provided regression equation is:

Y_{i}=\beta _{0}+\beta _{1}D_{1i}+\beta_{2}D_{2i}+\beta _{3}D_{1i}D_{2i}+u_{i}

Y_{i} = dependent variable

D_{1i} and D_{2i} = independent variables

In this case the interaction term is defined as follows:

The effect of being married on log earnings is dependent on different values of the variables D_{2i}, i.e. the gender of the i^{th}person.

Thus, the correct option is (A).

3 0
3 years ago
In each of the following pairs of numbers, how much larger is the first number than the second?
lapo4ka [179]

Answer: a. 154 is larger than 27 by 127.

b. 25 is larger than 12 by 13.

c.135 is larger than 127 by 8.

d.46 is larger than 24 by 22.


Step-by-step explanation:

Subtract second number from the first number.

a. 154 and 27

Difference=154-27=127

Hence, 154 is larger than 27 by 127.

b. 25 and 12

Difference=25-12=13

Hence, 25 is larger than 12 by 13.

c. 135 and 127

Difference=135-127=8

Hence, 135 is larger than 127 by 8.

d. 46 and 24

Difference=46-24=22

Hence, 46 is larger than 24 by 22.

4 0
3 years ago
Read 2 more answers
To make cupcakes Leah uses 1/2 cup of chocolate chips for evry 1 1/3 cups of batter if Leah uses 3/4 cups of chocolate chips how
Kisachek [45]

Answer:

2

Step-by-step explanation:

Leah uses 1/4 cup of chocolate chips for 2/3 cups of batter, so if Leah uses 3/4 cup of chocolate chips, she should use 2 cups of batter.

3 0
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