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user100 [1]
3 years ago
11

1. Is the function g(x) increasing or decreasing over the interval -2 < x <-1?

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

Answer:

g(x) increasing

h(x) decreasing

Step-by-step explanation:

Since the value of y gets larger as the value of x increases over the interval -2 <x<-1 for the function g(x), the function is increasing

Since the value of y gets smaller as the value of x increases over the interval -2 <x<-1 for the function h(x), the function is decreasing

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If the diver in item 2 leaves the board with an initial upward speed of 2.00 m/s, find the diver's speed when striking the water
Taya2010 [7]

Answer:

v_f=9.0774m/s

Step-by-step explanation:

Let's assume

initial velocity =vi

final velocity=vf

initial height =hi

final height =hf

acceleration due to gravity =g

we can use formula

\frac{1}{2}v_i^2+gh_i= \frac{1}{2}v_f^2+gh_f

we are given

v_i=2m/s

h_i=2\times 2=4

h_f=0

g=9.8m/s^2

now, we can plug values

\frac{1}{2}(2)^2+(9.8)(4)= \frac{1}{2}v_f^2+(9.8)(0)

now, we can solve for vf

\frac{1}{2}(2)^2+(9.8)(4)= \frac{1}{2}v_f^2

we get

v_f=9.0774m/s


4 0
3 years ago
The equation y = 3.5x represents the rate, in miles
avanturin [10]

Answer:

Piyush walks faster than Laura

Step-by-step explanation:

we know that

The rate or speed is equal to the slope of the linear equation

<em>Laura</em>

y=3.5x

The slope is 3.5\ \frac{mi}{h}

<em>Piyush</em>

Determine the slope of the line

we have the points

(0,0) and (4,18)

The line represent a direct variation (because passes through the origin)

so

m=\frac{y}{x}

For x=4 h, y=18 mi

substitute

m=\frac{18}{4}=4.5\ \frac{mi}{h}

Compare the slopes

4.5\ \frac{mi}{h} > 3.5\ \frac{mi}{h}

therefore

Piyush walks faster than Laura

5 0
3 years ago
Read 2 more answers
What is the sign of the product (-7)(-2)(-5)(1)?
lara31 [8.8K]

Answer:

C.

Step-by-step explanation:

a negative times a positive equals a negative

6 0
4 years ago
Read 2 more answers
The attendance at the last Swoopes High basketball game was only 53 people. The school’s goal is to have at least 2 ½ times as m
Rina8888 [55]
The answer is 132 becuase 53x 2 1/2 = 132 

I hope I helped you 
3 0
3 years ago
The original price of a camera is $150. If a discount of 30% is given, what is the discounted price of the camera?
MArishka [77]
So, 30% is 0.30, but since you are taking off 30%, you are going to have 70% of the price which is 0.70. The word "of" lets you know that you are going to multiply. So, what you do is 150•0.70=105. The discounted price is $105
3 0
3 years ago
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