The values of the functions are f(4) = 47, f(k) = 2(k)^2 + 4(k) - 1 and f(x + h) = 2x^2 + 4hx + 2h^2 + 4x + 4h - 4
<h3>How to evaluate the expression?</h3>
The function is given as:
f(x) = 2x^2 + 4x - 1
To calculate f(4), we have:
f(4) = 2(4)^2 + 4(4) - 1
Evaluate the expression
f(4) = 47
To calculate f(k), we have:
f(k) = 2(k)^2 + 4(k) - 1
To calculate f(x + h), we have:
f(x + h) = 2(x + h)^2 + 4(x + h) - 1
Expand
f(x + h) = 2(x^2 + 2hx + h^2) + 4x + 4h - 4
Expand
f(x + h) = 2x^2 + 4hx + 2h^2 + 4x + 4h - 4
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Answer:
Step-by-step explanation:
Four friends go out to lunch together.
For what number of toppings is the price of a personal pizza the same as a calzone?
Let us represent the number of toppings as x
We need to know the price of a personal pizza and the price of a calzone
Mike orders a personal pizza with 2 toppings for $7.00.
2x = $7
x = $7/2
x = $3.50
Dustin orders a personal pizza with 5 toppings for $9.25.
5x = $9.25
x = $9.25/5
x = $1.85
Lucas orders a calzone with 1 topping for $5.75.
x = $5.75
Will orders a calzone with 4 toppings for $8.75.
4x = 8.75
x = 8.75/4
x =2.1875
Answer:
the answer is 8
Step-by-step explanation:
5 times 8 =45 5 time table
Answer:
x = 13
y = -10
z = -7
Step-by-step explanation:
x+y+z=−4
2x+3y−2z=10
−x+2y−3z=−12
Add the first and the third equations to eliminate x
x+y+z=−4
−x+2y−3z=−12
--------------------
3y -2z = -16 Equation A
Add the second and twice the third equation to eliminate x
2x+3y−2z=10
−2x+4y−6z=−24
----------------------------
7y -8z = -14 Equation B
Take Equation A and multiply by -4
-4*( 3y -2z) = (-16)*-4
-12y + 8z = 64
Add this to Equation B
-12y + 8z = 64
7y -8z = -14
-----------------------
-5y = 50
Divide by -5
-5y/-5 = 50/-5
y = -10
Now using equation A
3y -2z = -16
3*-10 -2z = -16
-30 -2z = -16
Add 30 to each side
-2z = -16+30
-2z = 14
Divide by -2
-2z/-2 = 14/-2
z = -7
Now find x using the first equation
x+y+z = -4
x -7-10 = -4
x -17 = -4
Add 17 to each side
x-17+17 = -4+17
x = 13
Your answer to this problem is 0.25