Problem 3. if f(x) = /2x-5 and g(x) = 5x? -- 3, find (gºf)(x).(Step by step please<3)
Answers
(1)f(x) = x² - 4x + 2, g(x) = 3x - 7
(f o g) (x) = f(g(x)) = f (3x - 7)
= (3x - 7)² - 4(3x - 7) + 2
= (9x² - 42x + 49) + (-12x + 28) + 2
= 9x² - 57x + 79
(2)g(x) = -6x + 5, h(x) = -9x - 11
(g o h) (x) = g(h(x)) = g (-9x - 11)
= -6(-9x - 11) + 5
= 54x + 66 + 5
= 54x + 71
(3)f(x) = √(2x - 5), g(x) = 5x² - 3
(g o f) (x) = g(f(x)) = g(√(2x - 5))
= 5 (√(2x - 5))² - 3
= 5 (2x - 5) - 3
= 10x - 25 - 3
= 10x - 28
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the sum of two numbers is 13 2 times the first number minus 3x and the second number is 1 if you let X stand for the first number and why for the second number what are the two numbers
Answers
Final answer:
The phrase '9 more than the product of 51 and a number t' translates to the mathematical expression 51t + 9.
Explanation:
The question is asking for an expression representing '9 more than the product of 51 and a number t'. In mathematical terms, this can be expressed as: 51t + 9 .The key step here is understanding that 'the product of 51 and a number t' refers to multiplication: 51 multiplied by t (which can be written as 51t). Then, '9 more than' this product means simply adding 9 to that solution. So, the entire translating phrase becomes 51t + 9, which is the equivalent mathematical expression.
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Answers
On a Cartesian plane (a graph with one x-axis and one y-axis (an X Y graph)):
draw a DASHED line at x = 7. The dashed line means "don't include 7". This is because x must be GREATER than 7 so 7 isn't included.
Now shade everything to the right of 7 - - - so that numbers such as x = 8, x = 10, etc are shaded.
see attached screenshot.
Answers
The price of senior citizen ticket is 8 and price of student ticket is 14.
What is Equation?
Two or more expressions with an Equal sign is called as Equation.
Let x be the price of senior citizen ticket
y be the price of student ticket.
On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102.
4x+5y=102..(1)
The school took in $126 on the second day by selling 7 senior citizen tickets and 5 studenttickets.
7x+5y=126..(2)
Subtract equation 1 and 2
4x+5y-7x-5y=102-126
-3x=-24
Divide both sides by 3
x=8
Now let us find y
4(8)+5y=102
32+5y=102
Subtract 32 from both sides
5y=102-32
5y=70
y=14
Hence, the price of senior citizen ticket is 8 and price of student ticket is 14.
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x = cost of senior citizen ticket
y = cost of student ticket
4x + 5y = 102
7x + 5y = 126
4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4
7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4
note:
-35y/4 = -8.75y
714/4 = 178.5
-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14
x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8
x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea
48a 3 bc 2 ÷ 3abc
16a4b2c 3
16a2c
18a2c
16ac2
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Answer:
Step-by-step explanation:
Given division problem:
It can be written as :
Since,
Divide 3 from numerator and denominator we get,
The division law of exponent says that
Therefore,
Hence,
x=7
y=-7
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Answers
When it said to estimate it basically means to solve.