What is -3.5 as a fraction
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B) −5x − 7 > −22 and −5x − 7 ≥ −3
C) −5x > −22 and −7 ≥ −3
D) −5x − 7 < −22 and −5x − 7 ≤ −3
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The equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 are A) −5x − 7 < −22 and −5x − 7 ≥ −3
What is a solution set to an inequality or an equation?
If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
Then a Set of such values is called solution set to the considered equation or inequality.
The equivalent form of the given inequality can be obtained by dividing the inequality into two parts.
In this case, we are given -22 > -5x - 7 > -3.
The two parts are; -22 > -5x - 7 and -5x - 7 > -3.
Since the −5x − 7 and −22 have interchanged sides, the inequality sign also changes direction.
For part two, we have −5x − 7 ≥ −3 remains unchanged.
Therefore, The choice that reflects these parts is A)-5x - 7 < -22 and -5x - 7 -3
Hence, The equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 are A) −5x − 7 < −22 and −5x − 7 ≥ −3
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Working;
Since the −5x − 7 and −22 have interchanged sides, the inequality sign also changes direction.
For part two, −5x − 7 ≥ −3 remains unchanged.
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plug in the
this gives:
square the 4.
multiply
add them together.
Glad to help.
Final answer:
By substituting x = 2 into the function f(x) = 2(x)² + 5√(x + 2) and simplifying the equation, the resulting value of f(2) is calculated to be 18.
Explanation:
For the given function f(x) = 2(x)² + 5√(x + 2), we are asked to find the value of f(2). To find this, first substitute x = 2 into the function. So, the calculation becomes
f(2) = 2 * (2)² + 5 * √(2 + 2)
simplifying this equation, we get:
f(2) = 2 * 4 + 5 * √4 = 8 + 5 * 2 = 8 + 10 = 18
So, f(2) = 18
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Answer:
Step-by-step explanation:
g(x) = x^2 + 6
f(x^2 + 6) = 2(x^2 + 6) + 1 = 2x^2 + 12 + 1 = 2x^2 + 13
B. The graph of g(x) is the graph of f(x) translated three units up
C.the graph of g(x) is the graph of f(x) translated three units down.
D. The graph of G(x) is the graph of f(x) translated three units down
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