4 years ago

What is the quotient of (6x4 + 15x3 – 2x2 + 10x – 4) ÷ (3x2 + 2) ?

1 answer:

4 0

We are given with the expression above such that the required in the problem is the quotient of the two polynomials. We just have to try each of the polynomials given as option to 3x2 + 2 to give the equation in the numerator. The answer is B.) 2x^2 – 5x – 2

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Which standard form equation below correctly represents the quadratic function

Charra [1.4K]

Answer: 4) y = -1/3x² + 2x - 1

Step-by-step explanation:

Given :

y = $\frac{-1}{3}$ $(x-3)^{2}$ + 2

Expanding (x-3)² will give :

$x^{2}$ - 6x + 9

substituting into the function , we have :

y = $\frac{-1}{3}$ $( [tex]x^{2}$ - 6x + 9 ) + 2

Expanding , we have

y = $\frac{-1}{3}$ $x^{2}$ + 2x - 3 + 2

y = $\frac{-1}{3}$ $x^{2}$ + 2x - 1

7 0

3 years ago

Lena's guest house is 15 m long and 12 m wide. How long is the diagonal of the house?

Lerok [7]

Draw dagarm (see attachment)

we've got a right triangle
the legs are 12 and 15
and the hypohuse is the diagonal

remember, for any right tirnalge
when the legs are a and b and hytponuse is c then
a²+b²=c²

so
12²+15²=c²
144+225=c²
369=c²
sqrt both sides
√369=c
3√41=c
the diagonal is 3√41 m or about 19.2m