Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form?
Answers
y=3(x^2-4x+4)-(x^2-10x+25)
y=3x^2-12x+12-x^2+10x-25
y=3x^2-x^2-12x+10x+12-25
y=2x^2-2x-13
complete the square
y=2(x^2-x)-13
y=2(x^2-x+1/4-1/4)-13
y=2((x-1/2)^2-1/4)-13
y=2(x-1/2)^2-1/2-13
y=2(y-0.5)^2-13.5
Answer: D
y=2(x-1/2)^2 - 27/2
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Which steps would allow him to eliminate the y terms in the system of equations?
Multiply 2x+3y=−1 by 3. Multiply 3x−5y=10 by 5. Add the resulting equations together.
Multiply 2x+3y=−1 by 3. Multiply 3x−5y=10 by 2. Add the resulting equations together.
Multiply 2x+3y=−1 by 2. Multiply 3x−5y=10 by 5. Add the resulting equations together.
Multiply 2x+3y=−1 by 5. Multiply 3x−5y=10 by 3. Add the resulting equations together.
Answers
Answer:
Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.
Step-by-step explanation:
To eliminate the y-term. we must multiply both equations by values that make the coefficients of y opposite in sign.
2x + 3y = -1 (1)
3x - 5y = 10 (2)
The easiest way to do this is to multiply Equation (1) by 5
and Equation (2) by 3.
5 × [2x + 3y = -1]
3 × [3x - 5y = 10]
Then, add the two equations.
10x + 15y = -5
9x - 15y = 30
19x = 25
Conclusion: Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.
Answers
7*130%=9.1
5.2*2+9.1*2=28.6 in
or You can just do
(4+7)*130%*2=28.6 in
Answers
Answer: Choice D
Explanation:
A binomial involves two terms, either being added or subtracted.
Some examples include:
- x+y
- x^3-y^3
- ab+c
Answers
The 1st feature of the polynomial function is that its graph is continuous, it is, in the graph of the polynomial function has no breaks. The 2nd feature is that the graph of the polynomial function has only smooth, rounded turns.
From the problem establishes that we can create the sample polynomial to be used in our explanations, we can say that this polynomial function is:
To find the x-intercepts of R(x) set R(x) equal to zero and solve for x, so:
Set R (x) = 0
Remove common monomial factor :
Factor out:
So the real zero are:
x = 0
x = 1
x = -1
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ou will need three roots for this, so we have
Let x = -30, -10 and +20
So the factors will be (x+30)(x+10)(x-20)
The divide it to 100, this will help bring the peak up and down
So the polynomial function R(x) will become
1/100 * (x+30)(x+10)(x-20)
R(x) = 1/100 * (x+30)(x+10)(x-20)
Finding the X-intercept:
Let R(x) = 0 and solve for x.
1/100 * (x+30)(x+10)(x-20) = 0
x = -30, -10, 20 are the x-intercepts.
(B) The graph of the function contains the points (−1, −5), (2, −11), and (4, −15).
(C) The graph of the function is a line that passes through the point (0, −7) with a slope of −2.
(D) The graph of the function contains the points (0, −7), (1, −9), and (3, −1).
Answers
Answers
The percent increase in sales of Iceberg lettuce is 140% .
What is profit percentage ?
Profit percentage are used to refer to the amount of profit that has been incurred in terms of percentage. It should also be stated that the profit percentage is one of the methods for comparing two quantities which the shopkeeper gets a profit.
How to calculate percent increase of the given product ?
It is given that Iceberg lettuce is grown and shipped to stores for about 30 cents a head and consumers purchase it for about 72 cents a head.
Thus cost price of the product is 30 cents whereas the selling price is 72 cents.
Therefore, profit incurred is = (72 - 30) = 42 cents.
Percent increase -
= (profit / cost price) * 100 %
= (42/30) * 100 %
= 140 %
Thus, the percent increase in sales of Iceberg lettuce is 140% .
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In this case, 72-30 = 42
42/30 = 7/5
7/5 x 100 = 140%
I hope this makes sense!