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3 years ago

Match the inequality to the graph of its solution.

Mathematics

1 answer:

Lana71 [14]3 years ago

6 0

The graph shows a number line marking all numbers less that 10.

Choice a:
c + 7 ≤ 3
c ≤ 3-7
c ≤ -4
Choice a is a wrong choice

Choice b:
c - 3 > 1
c > 1+3
c > 4
Choice b is a wrong choice

Choice c:
c - 7 < 3
c < 3+7
c < 10
Choice c is the correct choice

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Which statement is true regarding the graphed functions?

Vladimir79 [104]

let's analyze each case to determine the solution

case 1) f(0) = 2 and g(–2) = 0

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 1) is false

case 2) f(0) = 4 and g(–2) = 4

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 2) is false

case 3) f(2) = 0 and g(–2) = 0

For x=2-----> find the value of f(2) in the graph-----> f(2)=0

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 3) is true

case 4) f(–2) = 0 and g(–2) = 0

For x=-2-----> find the value of f(-2) in the graph-----> f(-2) is greater than 12

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 4) is false

therefore

the answer is

f(2) = 0 and g(–2) = 0-------> this statement is true

6 0

4 years ago

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81:18 equivalent to 36?

fiasKO [112]

9/2 is the correct anwer

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3 years ago

John & friends brought 4 bags of popcorn and 3 sodas at the movie for a total of 13.50. At the next movie John & friend

scoray [572]

Answer:

The cost of 5 bags of popcorn and 2 sodas is 14.25 units.

Step-by-step explanation:

We are given the following in the question:

Let x units be the cost of a popcorn bag and y units be cost of soda.

The cost of 4 bags of popcorn and 3 sodas is 13.50.

Thus, we can write the equation:

$4x + 3y = 13.50$

The cost of 2 bags of popcorn and 5 sodas is 12.00

Thus, we can write the equation:

$2x+5y=12$

Solving the two equations, we get,

$4x + 3y-(4x+10y) = 13.5 - 24\\\Rightarrow -7y =10.5\\\Rightarrow y = 1.5\\\Rightarrow 2x + 5(1.5) = 12\\\Rightarrow x = 2.25$

Thus, the cost of popcorn bag is 2.25 units and the cost of a soda is 1.5 units.

Cost of 5 bags and 2 sodas

= $=5x+2y\\=5(2.25) + 2(1.5)\\=14.25$

Thus, cost of 5 bags of popcorn and 2 sodas is 14.25 units.

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3 years ago

Which expression shows the result of applying the distributive property to 7(x + 1 Which expression shows the result of applying

Lunna [17]

Answer:7 + 11x

Step-by-step explanation: you add your letter and number that were in the brackets the since 7 has no number the equation would end and become 7+11x

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3 years ago

How can I get the median when the amount of number are 8???

Dafna11 [192]

Then, the median is found by taking the mean (or average) of the two middle most numbers.

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4 years ago

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