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2 years ago

How are the key features of a quadratic graph seen

1 answer:

3 0

Ye ye cuz fat is fat it mix and make ye ye and fat and I use fat to cook my dog but sometimes I air fry hey you reading stop being stressed abt homework and go air fry ur dog U won’t regret it

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Factor 140c + 28 - 14a to identify the equivalent expressions.

Feliz [49]

Answer:

The answer to your question are letters A, C and D.

Step-by-step explanation:

To factor this polynomial we need to look for the common factor of the three terms.

To find it, get the greatest common factor

140 28 14 2

70 14 7 2

35 7 7 5

7 7 7 7

1 1 1

Greatest common factor = 2 x 7 = 14

Factor the polynomial

140c + 28 - 14a = 14 ( 10c + 2 - a)

Factor only 7 7(20c + 4 - 2a)

Factor only 2 2 (70c + 14 - 7a)

8 0

2 years ago

What is the value of 6 in 5,165,874

serious [3.7K]

60 thousand is the value of 6 in 5,165,874

5 0

2 years ago

Read 2 more answers

Find the distance between (3,7) and (6,5)

zubka84 [21]

Answer:

square root of five but if it needs to be simplified then 2.24 (rounded)

Step-by-step

8 0

2 years ago

Find the absolute extrema for f(x,y)=4-x^2-y^4+1/2y^2 over the closed disk D:x^2+y^2 is less than or equal to 1

algol [13]

Find the critical points of $f(x,y)$ :

$\dfrac{\partial f}{\partial x}=-2x=0\implies x=0$

$\dfrac{\partial f}{\partial y}=y-4y^3=y(1-4y^2)=0\implies y=0\text{ or }y=\pm\dfrac12$

All three points lie within $D$ , and $f$ takes on values of

$\begin{cases}f(0,0)=4\\f\left(0,-\frac12\right)=\frac{65}{16}\\f\left(0,\frac12\right)=\frac{65}{16}\end{cases}$

Now check for extrema on the boundary of $D$ . Convert to polar coordinates:

$f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t$

Find the critical points of $g(t)$ :

$\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0$

$\implies\sin t=0\text{ or }\cos t=0\text{ or }\sin t=\pm\dfrac{\sqrt3}2$

$\implies t=n\pi\text{ or }t=\dfrac{(2n+1)\pi}2\text{ or }\pm\dfrac\pi3+2n\pi$

where $n$ is any integer. There are some redundant critical points, so we'll just consider $0\le t< 2\pi$ , which gives

$t=0\text{ or }t=\dfrac\pi3\text{ or }t=\dfrac\pi2\text{ or }t=\pi\text{ or }t=\dfrac{3\pi}2\text{ or }t=\dfrac{5\pi}3$

which gives values of

$\begin{cases}g(0)=3\\g\left(\frac\pi3\right)=\frac{57}{16}\\g\left(\frac\pi2\right)=\frac72\\g(\pi)=3\\g\left(\frac{3\pi}2\right)=\frac72\\g\left(\frac{5\pi}3\right)=\frac{57}{16}\end{cases}$

So altogether, $f(x,y)$ has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).

5 0

2 years ago

A present is shaped like a

matrenka [14]

Answer: Yes

Step-by-step explanation:

8 0

3 years ago