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viktelen [127]
3 years ago
9

The function y= -7/4x - 2 is transformed by shifting it to the right 12 units. What is the equation of the new function?

Mathematics
1 answer:
mafiozo [28]3 years ago
8 0
Y = -7/4x + 19

You can get this by noting that at x = 12 of your new equation, y must equal -2 since it does presently on the y axis and you'll be shifting 12. So, you now have an ordered pair and the slope must stay the same. Then you can solve for the new y intercept by plugging in and solving for it. 
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3 years ago
James is two years younger than twice his sister Kate’s Age. Together their ages add up to 19. What is each of their ages?
andreev551 [17]

James'age : 12, Kate's age : 7

<h3>Further Explanation </h3>

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

\large{\boxed{\bold{ax=b}}}

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

\large{\boxed{\bold{ax+by=c}}}

x, y = variable

In the statement of the task:

  • James is two years younger than twice his sister Kate’s Age can be stated in the equation: James (J) = 2K (Kate) - 2  ⇒equation 1
  • Together their ages add up to 19. The equation: J + K = 19 .... 2 ---> J = 19 - K  ⇒equation 2

So the solution is:

Equation 2 is entered into equation 1 so that it becomes:

19-K = 2K-2

21 = 3K

K = 7

because J + K = 19, then the value of J = 19-7 = 12

<h3>Learn more</h3>

the slope-intercept form of the linear equation

brainly.com/question/1945934

a graph of a linear equation

brainly.com/question/1505806

system of linear equations

brainly.com/question/11544167

Keywords : Age, variable, linear equation

4 0
4 years ago
The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a tot
Aneli [31]

Answer:

In mih's school there are 100 boys

While in Ella's school there are 80 boys

Step-by-step explanation:

X*1/5=20

X=100

X*1/4=20

X=80

4 0
3 years ago
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