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3 years ago

Which of the following is a solution of 4x + 2y ≤ 6?

Mathematics

1 answer:

cestrela7 [59]3 years ago

6 0

Answer:

D. (1,0)

Step-by-step explanation:

Just plug in each coordinate for x and y into 4x+2y and see which one is less than or equal to 6.

Lets go through all of the possible answers:

A. (0,4)

4(0) + 2(4) ≤ 6

0 + 8 ≤ 6

8 ≤ 6

This is false. 8 is not less than or equal to 6.

B. (5,0)

4(5) + 2(0) ≤ 6

20 + 0 ≤ 6

20 ≤ 6

This is false. 20 is not less than or equal to 6.

C. (5,7)

4(5) + 2(7) ≤ 6

20 + 14 ≤ 6

34 ≤ 6

This is false because 35 is not less than or equal to 6

D. (1,0)

4(1) + 2(0) ≤ 6

4 + 0 ≤ 6

4 ≤ 6

This is true, because 4 is less than 6.

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nirvana33 [79]

The y intercept in this graph is (0,1) ad the only equations that fit this are a and c.
To figure out whether it is a or c, find the slope. The line of the equation is going up, so he slope is positive. Equation c has the positive slope.
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3 years ago

Read 2 more answers

PC-CSIL

pav-90 [236]

The equality used is Subtraction property of equality

Option A is correct

Step-by-step explanation:

We need to identify which option best explains or justifies Step 1.

Step 1 is: $-c = ax^2 + bx$

The given equation is: $0 = ax^2 + bx + c$

To get the equation for step 1 we need to subtract c on both sides of equation i.e using subtraction property of equality

$0-c = ax^2 + bx + c-c$

$-c = ax^2 + bx$

So, The equality used is Subtraction property of equality

Option A is correct.

Keywords: Solving Quadratic Equations

Learn more about Solving Quadratic Equations at:

#learnwithBrainly

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3 years ago

in Math class we are Learning about Pi which equals 3.14 how do you find the diameter and radius i dont understand it can you gu

kirill [66]

If you're finding diameter or radius based on circumference, use the formula C = πd. You would divide the circumference by pi to get the diameter, then divide the diameter by 2 to get the radius.

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3 years ago

Tasha lists all the multiple of 3 from 3 to99. Tony lists all the multiples of 5 from 5 to100. What is the first number that is

IrinaVladis [17]

Answer:

Multiples of 3 = 3, 9
Multiples of 5 = 5, 10

Step-by-step explanation:

In a list of 3 to 99, the first multiple of 3 will be none other than 3 itself because when multiplied by 1, you get three.

The second number will be: 3 * 2 = 6

In a list from 5 to 100, the first multiple will be 5 with 5 being a multiple of itself when multiplied by 1.

Second number = 5 * 2 = 10

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3 years ago

Tommy is purchasing items from an online store. The store charges $6 shipping and handling for each package. Write an expression

faust18 [17]

Answer:

The expression to represent the total shipping costs for x package is 6x.

Tommy will pay $ 12 in shipping and handling for 2 packages.

Step-by-step explanation:

Given that the shipping and handling charge for 1 package = $ 6

So, by using the elementary method, the shipping and handling charge for x package is $ 6x.

Hence, the required expression to represent the total shipping costs for x package is 6x.

For 2 package, x=2

So, the shipping and handling charge for 2 package

=6x2

=12.

So, Tommy will pay $ 12 in shipping and handling for 2 packages.

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3 years ago