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adoni [48]
3 years ago
7

Which of the following is true for the graph of the quadratic function f(x)=2x^2-10x+12

Mathematics
1 answer:
lana [24]3 years ago
4 0
To find the x-intercepts let f(x) = 0 and solve the equation. To find the y-intercept(s) let x = 0 and solve the equation. To find the vertex: the x coordinate of the vertex is -b/2a where a is the coefficient of the x^2 and b is the coefficient of x. Then, substitute the value you get for -b/2a for the x and solve for y. That will give you the x,y coordinates. 
4. a. Solve 2x^2 -10x + 12 =0. Either use the quadratic formula or factor. x = 2 and x = 3. But those are the intercepts. The points of the intercepts are (2,0) and (3,0), NOT the point (3,2). a cannot be true. 4b. In the equation, substitute 0 for x and solve. f(x) or y comes out to 12. b is correct. 4c. -b/2a = 10/4 which reduces to 5/2. Substitute 5/2 for x and evaluate to find y. y = -1/2. Your answers for 4 are b and c. 
5. a. Substitute 0 for x and solve. y = -6, so your y-intercept is (0.-6). a is correct b. Substitute 0 for y and solve. x = 2 and -1. b is correct. That means d is not. c. -b/2a = 3/6 = 1/2. Substitute 1/2 for x and solve for y. The vertex is (1/2, - 27/4), e is correct. Your answers for 5 are a,b, and e. 
7. Substitute 0 for x and solve for y. y = -16/5, so the y intercept is (0/-16/5) a is true. b. x-intercepts always have 0 for the y coordinate, so b is NOT true. c. Expand your binomial and put your equation in ax^2, + bx + c form. -b/2a is 6/5 divided by 3/5 which equals 3. Put 3 in for x and find y. Your answer should be -5, so c is true. d. Let f(x) =0. Solve you equation by using the quadratic formula or factoring. x comes out to be 8 and -2, so d is true. Your ansers for 7 are a,c, and d.
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3 years ago
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Answer:

24.44%

Step-by-step explanation:

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3 years ago
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Mei does 6 problems in 18 minutes. How many can she complete in 12 minutes
Dmitriy789 [7]
Do cross multiplication

  <u>6</u>  =  <u>x</u>
 18    12

Now cross multiply

(6)(12) = (18)(x)

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Divide both sides by 18
     
    
     <u>72</u>  = <u>18x</u>
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5 0
2 years ago
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Aleksandr [31]

Answer:

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with a=√2, b=5, c=4

__

8. The one-time charge of 2.50 will appear added in the equation one time (and not multiplied by anything). The number of tickets (x) will be multiplied by the ticket charge (8) and added to the one-time charge. Only one answer choice does that:

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