Answer:
Option D is the correct answer
Step-by-step explanation:
The x intercepts of the parabola are the solutions of the equation. These points can be determined either by graphical method or by solving the quadratic equation with any of the methods of solving a quadratic equation.
In order to use the graphical method, values of x are picked and substituted into the equation to get corresponding values of y. The y values are plotted against the x axis and the parabola (downward) is drawn. The points where it cuts the horizontal axis become the solutions of the equation
y = x^2 - 9x + 18
Solving the equation by using the factorization method,
x^2 - 9x + 18 = 0
x^2 - 6x - 3x + 18 = 0
x(x-6)-3(x-6)
(x-6)(x-3) = 0
x -6 = 0 or x -3 = 0
x = 6 or x = 3
The x-intercepts are (3, 0) and (6, 0)
<h3>2
Answers: Choice B and Choice D</h3>
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Explanation:
Standard form will always have the largest exponents listed first on the left side. Then as you move to the right, the exponents will decrease. Choice B shows this with the exponents counting down (3,2). Choice D is a similar story with the exponents counting down (9,2,1,0). Think of -6x as -6x^1, and also think of the 10 as 10x^0.
Something like choice A is a non-answer because the term with the largest exponent 3 is buried in the middle, and not at the left side. The exponents are not in decreasing order. Choice C can be ruled out for similar reasons.
Side note: the largest exponent is the degree of the polynomial. This only applies to single variable polynomials.
First, remove the parentheses
-7+2x+7=-7
Cancel the equal terms.
2x+7=0
Subtract 7
2x= -7
Divide both sides by 2
Final answer is:
X= -3.5
Answer:
The required equation of the graph with the coordinates of (4, -1) will be:
The graph is also attached.
Step-by-step explanation:
Given the coordinates (4, -1)
If we put the coordinate values (4, -1) in the given equations, we determine that only 
is the valid equation as it satisfies the given coordinate value.
For example, putting (4, -1) in the equation
So, the equation is true for the coordinate values (4, -1).
Therefore, the required equation of the graph with the coordinates of (4, -1) will be:
Please check, the graph is also attached.
Answer:
1. 22000 millimeters
2. 1.5 grams
3. 15 centigrams
4. 5300 milliliters
5. 0.025 decagrams
6. 0.0083 decimeters
7. 0.027 decaliters
8. 28.7 millimeters
9. 5.4 decigrams
10. 1000 milligrams
Step-by-step explanation:
