Answer: −6+7
Step-by-step explanation: Trust
The correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
<h3>Solving inequality</h3>
From the question, we are to solve the inequality
The given inequality is
–3(2x – 5) < 5(2 – x)
First, clear the brackets
–6x + 15 < 10 – 5x
NOTE: This is one of the correct representations of the inequality
Collect like terms
-6x + 5x < 10 - 15
-x < -5
Divide both sides by -1 and flip the sign
x > 5
Representing this on a number line, we get a number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is pointing to the right.
Hence, the correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
Learn more on Inequalities here: brainly.com/question/246993
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Answer:
The value of k is 5.
Step-by-step explanation:
Since we know we can convert function's quadratic form to vertex form by completing the square.
f(x)=x2?6x+14
We will add and subtract 9 to our equation in order to complete the square.

Upon completing the square and combining like terms we will get,

Upon comparing Willie's vertex form with our expression we can see that k is 5.
Therefore, the value of k is 5.
If we write out the expression √4√6/√3√2, then we get the solution to the surd as 2.
<h3>What is a surd?</h3>
A surd is an irrational number which is often shown as a square root. In this case, we have the value; √4√6/√3√2.
This is the same as; 2√6/√6. This now implies that we can cancel out the surd form which is shown as √6 hence the result of the expression is 2.
Learn more about surd:brainly.com/question/24700530
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Answer:
128
Step-by-step explanation:
all angles of a triangle will always equal 180
so, we know 2 angles
180-40
140-1128