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Marysya12 [62]
3 years ago
13

How do you graph the inequality of 4x-2y≤6 ?

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

4x - 2y ≤ 6      <em>subtract 4x from both sides</em>

-2y ≤ -4x + 6     <em>change the signs</em>

2y ≥ 4x - 6     <em>divide both sides by 2</em>

<h3>y ≥ 2x - 3</h3>

y = 2x - 3 - it's a linear function. We need only two points to plot the graph.

Choose any two values of x and calculate the values of y:

for x = 0 → y = 2(0) - 3 = 0 - 3 = -3 → (0, -3)

for x = 2 → y = 2(2) - 3 = 4 - 3 = 1 → (2, 1)

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<, > - dotted line

≤, ≥ - solid line

<, ≤ - shaded to left

>, ≥ - shaded to right

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Which of the following shows the best communicative property of addition ?
kumpel [21]

Answer:

In the given options, 4+5 = 5+4 shows the best commutative property.

Step-by-step explanation:

One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.

Commutative property can be applied on addition, subtraction and multiplication.

<u>Commutative property of Addition:</u>

Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a

In the given options, 4+5 = 5+4 shows the best commutative property.

3 0
2 years ago
Can someone please explain
ankoles [38]
Start by defining variables (things you don't know). Let's make:
t = number of true/false questions
m = number of multiple choice questions

Equation #1
total questions on the test (given to be 20) is then:
t + m = 20

Equation #2
Multiply the number of questions by the points it's worth to get the total points
3t + 11m = 100

Now, you can use substitution to combine the two equations.

t + m = 20
by subtracting m from both sides, equation 1# becomes..
t = 20 - m

substitute t for 20 - m in the second equation.
3(20 - m) + 11m = 100

Solve for m.
3(20 - m) + 11m = 100
60 - 3m + 11m = 100
8m = 100 - 60
8m = 40
m = 5

There are 5 multiple choice questions on the test.
Now use this to find t.
t + m = 20 
t + 5 = 20
t = 20 - 5
t = 15

there are 15 true/false questions on the test.
7 0
2 years ago
What is the answer to<br> (6^-2/7^5)^-11
dusya [7]

Answer:605052^11

Step-by-step explanation:

7 0
3 years ago
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