The equation to determine the total cost for playing handball is
f ( x ) = 15x + 150
where x is the number of times Roman plays
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of times Roman plays be = x
Now , the initial amount Roman paid to join the club = $ 150
The additional amount Roman pays for each play = $ 15
So , the equation will be
The total additional amount Roman pays if he plays x number of times is =
number of times Roman plays x additional amount Roman pays for each play
Total additional amount Roman pays if he plays x number of times is = 15x
So , the total cost of playing handball be f ( x ) , where x is the number of times Roman plays
Now , the equation will be
The total cost of playing handball f ( x ) = initial amount Roman paid + Total additional amount Roman pays
The total cost of playing handball f ( x ) = 150 + 15x
Therefore , the equation is f ( x ) = 15x + 150
Hence , The equation to determine the total cost for playing handball is
f ( x ) = 15x + 150
where x is the number of times Roman plays
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Answer:
-192
Step-by-step explanation:
replace the x with -8 and multiply
Answer:
Step-by-step explanation:
20. First find the values of the numbers being added.
These numbers have a common denominator, so you can add the numerators
27 + 25 = 52
so the number comes out to
to simplify, divide the numerator and denominator by 4.
So the final fraction becomes
However the question doesn't have this answer and now I am confused. I assumed that the expression was but the picture is a little bit blurry and I have bad eyesight so let me know if it is not. I'm too tired to delete this so next problem.
21.
4x + 8x + 7 + 4
Combine the like terms to get the expression
12x + 11 the answer is c.
Answer:
Yes, n = -2.9 is a solution to the given inequality.
Step-by-step explanation:
To determine if n = -2.9 is a solution to the inequality 10.4 ≥ -2n + 4.6, substitute the value of n into the inequality.
10.4 ≥ -2(-2.9) + 4.6
10.4 ≥ 5.8 + 4.6
10.4 ≥ 10.4
Since the last line of the inequality states that 10.4 is greater than or equal to 10.4, which is true, this means that the original inequality holds true when n = -2.9.
So, n = -2.9 is a valid solution to the inequality 10.4 ≥ -2n + 4.6.
Answer:
g = 6
Step-by-step explanation:
3.8g + 8 = 1.8g + 20
Subtract 1.8g from both sides;
2g + 8 = 20
Subtract 8 from both sides;
2g = 12
Divide both sides by 2;
g = 6
You can check if the value of g is correct by plugging in the value of g to the equation. If your check does not it doesn't mean your answer is not correct because sometimes it can be a no solution equation which means that there is no solution to the equation.
Check:
3.8(6) + 8 = 1.8(6) + 20
22.8 + 8 = 10.8 + 20
30.8 = 30.8
It means its correct
Answer:
3√2
Step-by-step explanation:
Pythagoras says s²+s²=6²
so
2s² = 36
s = √18 = √9·2 = √3²·2 = 3√2
Answer:
C
Step-by-step explanation:
The diagonal splits the square into 2 right triangles with hypotenuse 6
Using Pythagoras' identity in one of the right triangles.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
s² + s² = 6²
2s² = 36 ( divide both sides by 2 )
s² = 18 ( take the square root of both sides )
s = = = × = 3 → C