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3 years ago

Help with this question??

Mathematics

1 answer:

Reika [66]3 years ago

3 0

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

here [ a, b ] = [ 0, 2 ] and from the graph

f(b) = f(2) = 0

f(a) = f(0) = - 6, hence

average rate of change = $\frac{0-(-6)}{2-0}$ = $\frac{6}{2}$ = 3

You might be interested in

Which one is repeating decimal 0.7777777 4.252525 0.123123 1.111114

Bas_tet [7]

The first one 0.7777777

6 0

3 years ago

Read 2 more answers

Can someone please answer my trigonometry problem? I've been trying to get answers all day for something so minimal.

Fantom [35]

Answer:

∠B ≈ 30.0°

Step-by-step explanation:

The law of sines can be used to solve a triangle when two sides and an angle opposite one of them are given.

sin(B)/b = sin(C)/c

sin(B) = (b/c)sin(C) . . . . solve for sin(B)

sin(B) = (14/28)sin(91°) ≈ 0.49992385

The angle is found using the inverse sine function:

B = arcsin(0.49992384) ≈ 29.99496°

Rounded to tenths, the angle is ...

m∠B ≈ 30.0°

_____

<em>Additional comments</em>

Many triangle solver apps and web sites are available if all you want is an answer.

When using your calculator, be sure the angle mode is set to "degrees."

The Law of Sines can also be used to solve a triangle when two angles and one side are known.

8 0

2 years ago

Một lô hàng chứa rất nhiều sản phẩm, trong đó tỷ lệ sản phẩm loại tốt là 70%. chọn ngẫu nhiên từ lô hàng ra 5 sản phẩm. gọi X là

den301095 [7]

trả lời : lâp bảng

X=0 thì xác suất lấy ra được sản phẩm tốt là 5*30%=1,5%

X =1 thì xác suất lấy ra được là 1* 70%*4*30%=0,84%

X=2 thì xác suất lấy ra được sản phẩm tốt là 2*70%*3*30%=1,26%

X=3 thì xác suất lấy ra được sản phẩm tốt là 3*70%*2*30%=1,26%

X=4 thì xác suất lấy ra được sản phẩm tốt là 4*70%*1*30%=0,84%

X=5 thì xác suất lấy ra được sản phẩm tốt là 5*70%=3,5%

X 0 1 2 3 4 5

P 1,5 0,84 1,26 1,26 0,84 3,5

E(x)= 1,5*0+ 0,84*1+1,26*2+1,26*3+0,84*4+3,5*5=28

E(x^2)=1,5*0^2+0,84*1^2+1,26*2^2+1,26*3^2+0,84*4^2+3,5*5^2=118,16

===> V(x)= (E(x))^2-E(x^2)=28^2-118,16=665,84

8 0

3 years ago

An artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. The width of the lake is 1/5 the length o

Zina [86]

X=width of the lake
y=length of the lake.
we set out this system of equiations
x*y=9/20
x=y/5
we solve by sustitution method
(y/5)*y=9/20
y²/5=9/20
y²=(5*9)/ 20
y²=2.25
y=√2.25=1.5

x=y/5
x=1.5/5=0.3

Solution:
width of the lake=0.3 miles
lenght of the lake=1.5 miles

6 0

3 years ago

View the lane below and calculate the slope<br> by using the slope formula

velikii [3]

Answer:

slope = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$