<h3>Answer:</h3>
(x, y) ≈ (1.49021612010, 1.22074408461)
<h3>Explanation:</h3>
This is best solved graphically or by some other machine method. The approximate solution (x=1.49, y=1.221) can be iterated by any of several approaches to refine the values to the ones given above. The values above were obtained using Newton's method iteration.
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Setting the y-values equal and squaring both sides of the equation gives ...
... √x = x² -1
... x = (x² -1)² = x⁴ -2x² +1 . . . . . square both sides
... x⁴ -2x² -x +1 = 0 . . . . . polynomial equation in standard form.
By Descarte's rule of signs, we know there are two positive real roots to this equation. From the graph, we know the other two roots are complex. The second positive real root is extraneous, corresponding to the negative branch of the square root function.
Answer:
(2A /h) - b1 = b2
Step-by-step explanation:
A = 1/2 h ( b1 + b2)
Multiply each side by 2
2A = 2*1/2 h ( b1 + b2)
2A = h ( b1 + b2)
Divide each side by h
2A/h= h/h ( b1 + b2)
2A/h= b1 + b2
Subtract b1 from each side
2A /h - b1 = b2
The slope is negative two (-2)
The number of the board's price of $6.50 will be 12 and the number of the boards for the price of $9.50 will be 8.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
Given that:-
The total cost of 20 boards is $166. one size costs $6.50, and the second size costs $9.50.
Let the number of the boards for the price of $6.50 is x and for $9.50 is y. So the expression will be given as:-
6.50x + 9.5 y = 166
x + y = 20
Put x = 20 - y
6.50( 20 - y) + 9.5y = 166
130 - 6.50y + 9.50y = 166
3y = 166 -30
3y = 36
y = 12
Now the value of x will be:-
x = 20 - y = 20 - 12 = 8
Therefore the number of the board's price of $6.50 will be 12 and the number of the boards for the price of $9.50 will be 8.
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Set the first number as x.
Note that three consecutive integers are 3 numbers that are 1 greater than the previous.
(x) + (x + 1) + (x + 2) = 72
Simplify. Combine like terms
3x + 3 = 72
Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 3 from both sides
3x + 3 (-3) = 72 (-3)
3x = 69
Next, divide 3 from both sides
3x/3 = 69/3
x = 23
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23 is your first answer
Plug in 23 for each x.
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(x) + (x + 1) + (x + 2) = 72
(x) = 23
(x + 1) = 23 + 1 = 24
(x + 2) = 23 + 2 = 25
23, 24, 25 are your answers
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<em>~Rise Above the Ordinary</em>
