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3 years ago

What is the function of y = −x2 − 2

1 answer:

8 0

Do you mean the type of function? If so, the function would be quadratic. This is because the highest degree of the function is 2; 2 is the greatest exponent any term in the function is being raised to.

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You have a 40% coupon, what will the price be of shoes that cost 45

Bond [772]

Answer:

20.25

Step-by-step explanation:

45x.40=20.25

4 0

2 years ago

What decimal represents the shaded part of the figure

irina1246 [14]

Answer: 0.72

Step-by-step explanation: 72/100 of the block are shaded. The decimal form of that fraction is 0.72

5 0

2 years ago

Michael breeds chickens and ducks.

hodyreva [135]

Let c=cost of chicken and d=cost of duck; 50c+30d=550 and 44c+36d=532.
So 5c+3d=55, 11c+9d=133.
Therefore 15c+9d=165, subtracting 11c+9d=133 we get: 4c=32 so c=8.
5c+3d=40+3d=55, so 3d=15 and d=5.
Cost of chicken is $8 and cost of duck is $5.

4 0

3 years ago

Read 2 more answers

If segment DF is an angle bisector, solve for x

klasskru [66]

Answer:

x = 19

Step-by-step explanation:

Since DF is an angle bisector then it divides the opposite sides into segments that are proportional to the other 2 sides, that is

$\frac{DE}{DG}$ = $\frac{EF}{GF}$ , substitute values

$\frac{25}{22.5}$ = $\frac{x-9}{9}$ ( cross- multiply )

22.5(x - 9) = 225 ( divide both sides by 22.5 )

x - 9 = 10 ( add 9 to both sides )

x = 19

8 0

2 years ago

Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t

rodikova [14]

$\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}$

The distance traveled by the particle is given by the definite integral

$\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

where $C$ is the path of the particle. The distance is then

$\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi$

6 0

3 years ago