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soldier1979 [14.2K]
3 years ago
7

Write a quadratic function in standard form whose graph passes through (4,0) and (6,0)

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0

Answer:

f(x) = x² - 10x + 24

Step-by-step explanation:

The quadratic function has a graph that passes through the points (4,0) and (6,0).

Therefore, the graph has two x-intercepts at x = 4 and x = 6 and those are the roots of the equation.

So, (x - 4) and (x - 6) are two factors of the quadratic equation.

Then we can write the equation as  

f(x) = (x - 4)(x - 6)

⇒ f(x) = x² - 4x - 6x + 24

⇒ f(x) = x² - 10x + 24

Hence, this is the required quadratic function in standard form. (Answer)

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You can find a common demominator and then change 8 1/4 into a mixed number and just subtract
7 0
3 years ago
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4 0
3 years ago
Determine whether a triangle with given side lengths will be a right triangle?
mr Goodwill [35]

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorrem.  Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:

#19:  5^2 + 12^2 = ? = 13^2

 25  +  144  = ? = 169    This is true, so you do have a right triange in #19.

#21:  2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49     This is false.  Not a right

                                                                            triangle.

Apply this same approach (Pythagorean Theorem) to the remaining problems.

4 0
3 years ago
Help please I need an answer for this fast
castortr0y [4]

Answer:

B 9, -9

Step-by-step explanation:

x^2 - 81 = 0

Add 81 to each side

x^2 = 81

Take the square root of each side

sqrt(x^2) = sqrt(81)

x = ±9

6 0
2 years ago
Which of the following phrases can be used to represent -11?
Reptile [31]

Answer:

eleven below zero

Step-by-step explanation:

opposite of -11 =11  so that doesn't work

positive eleven=11 so that doesn't work

eleven greater than zero=11 so that doesn't work

eleven below zer0= -11 so it works

3 0
4 years ago
Read 2 more answers
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