Answer:
amplitude = 4
Step-by-step explanation:
the amplitude is the maximum subtract the minimum divided by 2
maximum = 1 and minimum = - 7
amplitude =
=
= 4
Answer:
The correct option is D.
i.e.
is the correct option.
The correct graph is shown in attached figure.
Step-by-step explanation:
Considering the function


![\mathrm{Range\:of\:}\frac{1}{x\left(x+4\right)}:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:-\frac{1}{4}\quad \mathrm{or}\quad \:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-\frac{1}{4}]\cup \left(0,\:\infty \:\right)\end{bmatrix}](https://tex.z-dn.net/?f=%5Cmathrm%7BRange%5C%3Aof%5C%3A%7D%5Cfrac%7B1%7D%7Bx%5Cleft%28x%2B4%5Cright%29%7D%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Af%5Cleft%28x%5Cright%29%5Cle%20%5C%3A-%5Cfrac%7B1%7D%7B4%7D%5Cquad%20%5Cmathrm%7Bor%7D%5Cquad%20%5C%3Af%5Cleft%28x%5Cright%29%3E0%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-%5Cfrac%7B1%7D%7B4%7D%5D%5Ccup%20%5Cleft%280%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)


So, the correct graph is shown in attached figure.
Therefore, the correct option is D.
i.e.
is the correct option.
Answer:
150 degrees
Step-by-step explanation:
- Let the supplement = x
- So the angle you want is 5x
- Then [x + 5x] = 180 because they are supplementary.
- Solving. 6x = 180. Then x = 30.
- So the angle is 5x = 5×30 = 150 degrees
Answer:
The unit rate is $8.89 /ft².
Step-by-step explanation:
Given:
$160 for 18ft².
So, by dividing with 18
we get
.
Now, round to nearest hundredth for $8.888 is $8.89.
Therefore, the unit rate is $8.89 /ft².
I = PRT/100
I = Simple Interest
P = Principal
R = Interest Rate per period
T = Time ( no. of periods )
Interest = (2500×9.5×3)/100 = 712.50
Answer : $2500 - $712.50 = $1787.50