Here's how you could solve this problem:
(root of 5)√x^4 multiplied by (root of 5)√x^4
- combine like terms
- you should get (root 5)√x^8 -> because, with the Laws of Exponents, multiplying like terms with exponents is seen to be equivalent to adding the exponents
- finally, write out x^(5/5) multiplied by x^(3/5)
- this is because you've taken out the largest multiple of 5 in the exponent that you had (5 is the largest multiple of 5 out of 8), and you subtracted 8 by 5 to get the remaining exponent of the other term
- simply exponents, and you're done :D :D :D :D :D
A) -2
B) -1
C) 0
D) 2
Alexander would have to pay $15 for 2 pounds of walnuts after using the coupon. The expression for the cost to buy p pounds of walnuts is (8 * p) - 1.
The price per pound of walnuts that Alexander is buying is $8. If he is buying 2 pounds, without the coupon he would have to pay 2 * $8 = $16. But since he has a $1 off coupon, he would have to pay $16 - $1 = $15.
To formulate an expression for the cost to buy p pounds of walnuts, we consider that each pound costs $8 and there is a $1 off from the total price. So for p pounds, the expression would be (8 * p) - 1.
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Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon. The expression is cost = ($8/pound) x pp - $1.
The functional connection between cost and output is referred to as the cost function. It examines the cost behaviour at various output levels under the assumption of constant technology. An essential factor in determining how well a machine learning model performs for a certain dataset is the cost function. It determines and expresses as a single real number the difference between the projected value and expected value.
Given that, the price per pound of walnuts is $8.
2 pounds x $8/pound = $16
Alexander would get $1 off the final amount.
Thus,
$16 - $1 = $15
So Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon.
The expression for the cost can be written as:
cost = ($8/pound) x pp - $1
Hence, Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon. The expression is cost = ($8/pound) x pp - $1.
Learn more about algebraic expressions here:
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y=2x-4 ?
Both the domain and range of the function is in range -
( - ∞ , + ∞ )
We have the following function -
y = f(x) = 2x - 4
We have to identify its Domain and Range.
For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
Consider the equation given -
y = 2x - 4
If we compare it with the general equation of line -
y = mx + c
We get -
m = 2 and c = - 4
Now this graph of the equation y = mx + c represents a straight line.
Hence, both the domain and range of the function are-
( - ∞ , + ∞ )
To solve more questions on Domain and Range, visit the link below -
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8(19 + 37)
9(3 + 5)
9(18 + 36)
Answer:
9 (3 + 5)
Step-by-step explanation:
The given expression is 27 + 45
We can write both terms in factored form as
9×3 + 9×5
Now, since 9 is in both the factors. Hence, we can factored out 9
Factored out 9, we get
9 (3 + 5)
Therefore, the equivalent expression for 27 + 45 is 9 (3 + 5)
Answer:
9 (3 + 5) is the answer.
Answer:
Graph
Step-by-step explanation:
The simplest way to graph a linear equation is to make an x, y chart.
Plug in values for x ( 3 values for x works ), then find the y values and graph the cordinates.
Another way to graph the above line is to identify the slope and the y-intercept. Because the function is in slope-intercept form, we can readily see both ( slope intercept form is y= mx + b where m= slope and b= y-intercept )! So b= 75 and m= 15. So to graph the y-intercept, it is ( 0, b ) and just count the slope from that point!
To graph the equation y = 15x + 75, start by plotting the y-intercept (0,75). Then move 15 units up and 1 to the right from the intercept. Connect the points to create the graph.
To graph the equation y = 15x + 75, you need to recognize it as the linear equation in slope-intercept form, y = mx + b. In this equation, m (slope) is 15 and b (y-intercept) is 75.
Start by plotting the y-intercept which is at the point (0, 75) on the y-axis. Then, from that initial point, use the slope or 'rise over run,' to find the next points. Given the slope is 15 (or 15/1), you will go up 15 units and right 1 unit from the intercept to plot your next point. Continue this process until you have enough points to produce a straight line.
By connecting these plotted points, you create the graph of y = 15x + 75.
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