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photoshop1234 [79]
3 years ago
14

The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place.

Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

9514 1404 393

Answer:

  The quadratic function has two distinct real zeros.

Step-by-step explanation:

The fundamental theorem of algebra says the number of zeros is equal to the degree of the polynomial. A quadratic (2nd degree) will have two zeros.

We are given that the function has two x-intercepts (real zeros), so we can conclude ...

  The quadratic function has two distinct real zeros.

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Answer:

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Step-by-step explanation:

I made two variables for this:

x = larger number

y = smaller number

Write an equation for "the sum of two number is 88" and you get:

x + y = 88

Write an equation for "four times the smaller number is subtracted from the larger number" and you get:

x - 4y = 13

I do not want an equation with both x and y in it, so I will rewrite the first one and use substitution in the second one:

x + y = 88   -- move the x to the other side

y = 88 - x

x - 4y = 13 -- substitute for y

x - 4(88 - x) = 13 -- multiply by 4

x - 352 + 4x = 13 -- move -352 to the other side, combine x's

5x = 365 -- divide by 5

x = 73

Now that I know x is 73, I go back to my first equation (x + y = 88) and I get:

73 + y = 88 -- subtract 73 from both sides

y = 88 - 73

y = 15

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