Answer:
The line intercepts the y-axis and 
Step-by-step explanation:
The intersection on the y-axis of a line is found to be 
.
That is, the intercept with the y-axis is the value of the function when x is equal to zero.
In this case we know the following points of the function:
x : -2 -1 0 1 2 3
y : 16 12 8 4 0 -4
Note that when then .
Therefore the line intercepts the y-axis and
3x+7+5x-4=67
8x+3=67
8x=64
x=8, now sub 8 for x
3(8)+7
24+7=31
Answer:EF=31
Answer:
y = 6cos(π/2)t
Step-by-step explanation:
Given in the question that,
in a simple harmonic motion in which
at t=0 the amplitude is 6 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.
And,
the period is given as 4 sec
We know that model equation of simple harmonic motion is
<h3>y = a. cosb(t + c) + d</h3>
here,
a is amplitude
c is Horizontal shift or phase shift
d is Vertical shift
<h3>Step1</h3><h3>Find b</h3>
Period = 2 π / b
4 = 2π / b
b = 2π/4
b = 1π/2
<h3>Step2</h3><h3>Find shifts</h3>
Horizontal and vertical shifts are 0.
So, c = 0 and d = 0
<h3>Step3</h3><h3>Plug those values in the above in the equation</h3>
y = 6cos π/2 (t + 0) + 0
y = 6cos(π/2)t
5/4 as a decimal is 1.25 Hope this helped! :)
Yes. x would be 75. For the second part yes. she would have to get 100 % on her last test.
