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3 years ago

What the range of u(x)= -2x squr + 3

Mathematics

1 answer:

Zinaida [17]3 years ago

7 0

Answer:

(-infinity, infinity)

Step-by-step explanation:

sqrt(x + 3) {or just sqrt(x)} has the range [0, infinity).

-2 has the range (-infinity, 0]

Thus the range of u(x) is (-infinity, infinity)

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Given the sequence 7, 12, 17, 22, ...

abruzzese [7]

Answer:

option D is true.

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, ...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

Computing the differences of all the adjacent terms

$12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5$

The difference between all the adjacent terms is the same

$d=5$

$a_1=7$

Thus, the nth term of the arithmetic sequence will be:

$a_n=5\left(n-1\right)+7$

$a_n=5n+2$

Therefore, option D is true.

7 0

3 years ago

What is the area of the sector with a central angle of 49° and a radius of 11 cm? Use 3.14 for pi and round your final answer to

olga_2 [115]

Answer:

$\boxed{\text{51.71 cm}^{2}}$

Step-by-step explanation:

If the angle θ is in radians, the formula for the area (A) of a sector of a circle is

A = ½r²θ

If θ is in degrees

$A = \dfrac{1}{2}r^{2}\theta \times \dfrac{\pi \text{ rad}}{180^{\circ}}= \pi r^{2}\times\dfrac{\theta }{360}$

Data:

θ = 49°

r = 11 cm

Calculation:

$\begin{array}{rcl}A& = &3.14\times 11^{2}\times\dfrac{49}{360}\\\\ & = &3.14 \times 121 \times 0.1361\\ & = & \mathbf{51.71}\\\end{array}\\\text{The area of the sector is }\boxed{\textbf{51.71 cm}^{2}}$

4 0

3 years ago

Simplify: 45÷3+2×8-12+30

Phantasy [73]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Volume (to the nearest tenth)

Ivenika [448]

Answer:

913

Step-by-step explanation:

cylinder:

radius=5.6 height=7

first lets find the volume of the cylinder the formula for the volume of a cylinder is pi times radius squared times height. so after plugging in the height and radius you get 689.64242

cone:

radius=5.6 height=6.8

now the volume of the cone, the formula for the volume of a cone is pi times radius squared times height/3. so after plugging in the height and radius of the cone you get 223.31278

so 689.64242 + 223.31278= 912.9552 and that rounded to the nearest tenth is 913

3 0

2 years ago

P(n)=485n-14065 find slope

11111nata11111 [884]

Answer:

the slope is 485

Step-by-step explanation:

The slope form of a line is y=mx+b, or in this case, p(n)=mn+b. The coefficient of n is 485, giving you the slope.

5 0

3 years ago