9514 1404 393
Answer:
y-4 = -2(x+1)
Step-by-step explanation:
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
You have m = -2 and (h, k) = (-1, 4). Putting these numbers into the above form gives ...
y -4 = -2(x +1)
5.5in x 5.2in = 28.6 inches
Answer:
The circle on the far left is the sum of 4x + 3y and 2x - y so the answer is 4x + 3y + 2x - y = 6x + 2y. The circle on the far left is the sum of x + 4y and something. To find that "something" we can do 4x + 5y - (x + 4y) = 3x + y which is the value of the bottom right rectangle. This means that the value of the bottom circle is 2x - y + 3x + y = 5x.
Answer:

Equation:

<h3>Step-by-step solution</h3>
- Linear equations with one unknown
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1. Group all constants on the right side of the equation

Subtract
from both sides:

Combine the fractions:

Combine the numerators:

Reduce the zero numerator:

Simplify the arithmetic:

Find the lowest common denominator:

Multiply the denominators:

Multiply the numerators:

Combine the fractions:

Combine the numerators:

Find the greatest common factor of the numerator and denominator:

Factor out and cancel the greatest common factor:

2. Isolate the x

Multiply both sides by inverse fraction 3/2:

Group like terms:

Simplify the fraction:

Multiply the fractions:

Simplify the arithmetic:

Simplify the arithmetic:

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Why learn this
Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.
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Terms and topics
- Linear equations with one unknown
Answer:
At the positive integer value of x=7 the quadratic function begin to exceed the linear function
Step-by-step explanation:
we have
using a graphing tool
see the attached figure
For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function
so
At the positive integer value of x=7 the quadratic function begin to exceed the linear function
Step-by-step explanation: