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Thepotemich [5.8K]
3 years ago
7

Determine if the given ordered pairs are solution of x+ 4y = 7.

Mathematics
1 answer:
const2013 [10]3 years ago
6 0

Answer:

(3, 1 ) is a solution

Step-by-step explanation:

To determine if the given points are solutions, substitute the x and y values into the left side of the equation and if equal to the right side then they are solutions.

(3, 1 )

3 + 4(1) = 3 + 4 = 7 = right side , then a solution

(2, 1 )

2 + 4(1) = 2 + 4 = 6 ≠ 7 ← not a solution

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Which graph represents a linear function?
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Answer:

On a coordinate plane, a line has a negative slope

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A linear function is a function whose graph is a straight line. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function.

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The length of a rectangle is 3 units greater than its width. If the width is w, what expression gives the perimeter of the recta
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Step-by-step explanation:

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given,length of rectangle is 3 units greater than its width

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perimeter of rectangle= 2( l+ b)

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= 2w to the power of 2 + 6w

is the answer

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For which value of a does the following system of equations have no solution? -x+6y=7 , -5x+10ay=32
dlinn [17]

Remark

If the lines are parallel, there are no solutions to the system of equations. Start with the equation you know the most about.

x + 6y = 7                Subtract x from both sides

x - x + 6y = 7 - x      Combine

6y =  - x + 7             Switch and divide by 6

y = -x / 6 + 7/6

The general equation for a line is y = mx + b where m is the slope of the line.

m = - 1/6

================

Now look at the second equation

10ay - 5x = 32               Add 5x to both sides

10ay = 5x + 32              Divide by 10a

y = (5/10a)x + 32/(10a)  

===============

Now you must make

5/10a = - 1/6                     Cross Multiply

5* 6 = - 10a * 1

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a = 30 / - 10

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So these two equations will have no solution when a = - 3



8 0
3 years ago
Nia made some warm salt water help her her sore throat. She mixed 1 teaspoon salt with 3 cups water. Nia’s mom wanted to make mo
vaieri [72.5K]

Answer:

5/3 teaspoons (if you don't want an improper fraction, it's 1 2/3 teaspoons)

Step-by-step explanation:

If she uses 1 tsp for 3 cups, then the amount needed for one cup is 1/3 tsp.

Since the mother is using 5 cups, just multiply 1/3 by 5, which equals 5/3.

8 0
3 years ago
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