Answer: The value of a is 1. The value of b is -1. The value of c is 1. The value of the discriminant is -3. The quadratic function will not intersects the x-axis.

Explanation:

The standard form of a quadratic equation is,

$p(x)=ax^2+bx+c$

The given function is,

$p(x)=x(x-1)+1$

It can be written as,

$p(x)=x^2-x+1$

By comparing this equation with the standard form of quadratic equation. we get,

$a=1$

$b=-1$

$c=1$

The formula for discriminant is,

$D=b^2-4ac$

$D=(-1)^2-4(1)(1)$

$D=1-4$

$D=-3$

The value of the discriminant is -3.

If D<0, it means the function have no real roots.

If D=0, it means function have one real roots.

If D>0, it means function have two real roots.

Since D<0 it means the function have no real roots. So the function will not intersect the x-axis at any point.

8 0

3 years ago

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Simplify<br> 5 x 52<br> leaving your answer in index form.

lions [1.4K]

Step-by-step explanation:

$52 \times 5 = 260$

$so \\ 260 = 26 ^{10}$

hope this was useful

7 0

2 years ago

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Please help

maxonik [38]

Answer:

D. -12s squared + 11st - 2t squared

Step-by-step explanation:

FOIL:

-3s(4s) - 3s(-t) + 2t(4s) + 2t(-t)

- 12s² + 3st + 8st - 2t²

Simplify.

- 12s² + 11st - 2t²

7 0

3 years ago

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Sara borrows $10000 from one bank, and Jose borrows $2000 from another bank. Sara’s account pays 3% more than Jose’s account. If

scoundrel [369]

Multiply both by .03 add

7 0

3 years ago