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Mathematics

2 answers:

Svetradugi [14.3K]3 years ago

8 0

$\huge\mathcal{\purple{A}\green{n}\pink{s}\blue{w}\purple{e}\green{r}}$

2x²-3x+4 is the answer

Leya [2.2K]3 years ago

3 0

Answer:

$2x^3-3x+4+\frac{5}{3x-5}$

Step-by-step explanation:

Use polynomial; long division to divide the two polynomials. Remember to put each polynomial in standard form, or rather organize each polynomial by their degree (exponent). The polynomial with the highest exponent will go first, then each with its varying exponent will suceed.

_____ $\underline{2x^2\ \ -\ \ 3x\ \ +4}$

$3x-5$ | $6x^3 - 19x^2+27x-15$

$\underline{-6x^3+10x^2}$

$-9x^2+27x$

$\underline{+9x^2-15x}$

$12x-15$

$\underline{-12x+20}$

$5$

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Given f(x)=x2+14x+40 . Enter the quadratic function in vertex form in the box. f(x)=

sukhopar [10]

We know that
the quadratic function in vertex form is--------------> y=a*(x-h)²+k

we have
f(x)=x²+14x+40
y=x²+14x+40

We can convert to vertex form by completing the square on the right hand side
y-40=x²+14x
y-40-49=x²+14x-49------> subtract 49 on BOTH sides to preserve the equality
y-40=(x²+14x+49)-49
y=(x²+14x+49)-49+40---------> y=(x+7)²-9

the answer is
the quadratic function in vertex form-----------> y=(x+7)²-9
the vertex is the point (-7,-9)

6 0

4 years ago

The time t required to drive certain distance varies inversely with the speed r. It takes 2 hours to drive the distance at 40 mi

Roman55 [17]

Answer:

$\frac{16}{9}$ hours

Step-by-step explanation:

Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:

$a=\frac{k}{b}$