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statuscvo [17]
3 years ago
12

a contractor is purchasing stone tiles for a new patio. Each tile cost $3, and he wants to spend between $600 and $900 inclusive

. Write an inequality that represents the number of tiles he can purchase and then figure out the possible number of tiles he can purchase
Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

600 ≤ 3x ≤ 900

Can purchase between 200 to 300 tiles.

Step-by-step explanation:

600 ≤ 3x ≤ 900

600 ≤ 3x and 3x ≤ 900

x ≥ 200 and x ≤ 300

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Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s
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We are given zeros of the polynomial : 7, -11, and 2 + 8i.

Note: The radical zero always comes with the pair of plus and minus sign.

Therefore, another zero would be 2-8i.

Now, in order to find the polynomial with the zeros 7, -11, 2 + 8i and 2-8i, we need to find the factors of the polynomial.

The factors of the polynomial would be (x-7)(x+11)(x-2-8i)(x-2+8i).

Let us multiply those factors to get the standard form of the polynomial.

\left(x-2-8i\right)\left(x-2+8i\right)=\left(x-2-8i\right)\left(x-2+8i\right)  =x^2-4x+68

\left(x-7\right)\left(x+11\right)=x^2+11x-7x-77=x^2+4x-77

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