Answer:(5-7)²
Step-by-step explanation: as h(x)=x-7 and g(x)=x²
so, goh(x)=g(h(x))
=g(x-7)
=(x-7)²
hence, goh(5)=(5-7)²
y = x + 1
Sammy wants to train in the gym. Registration in a city gym costs $ 1. The gym fee is $ 1 per day.
We define the variables:
x = number of days.
y = full payment of the gym after x days.
Answer:
The slope represents the cost per day of the gym.
m = 1 $ / day
The intersection with the y-axis represents the inscription in the gym.
b = 1 $
Answer:
I apologize if this was poorly explained. The explanation for each is below the angle.
Since these triangles are in a rectangle, The top and bottom triangles are congruent, and the left and right triangles are congruent. All 4 triangles are also Isosceles. (Two equal sides/angles)
m<1= 59
(Left and right triangles are congruent)
m<2=31
(Top and bottom triangles are congruent)
m<3= 59
(Directly across from the other 59)
m<4=31
(Each of the rectangles corner angles totals to 90 degrees, therefore making this angle 31 degrees.)
m<5=31
(Since the triangles are isosceles, this angle is also 31)
m<6= 59
(Since m<5 is 31, this angle is 59.)
m<7=118
{(Two other angles in the triangle) 31+31= 62 180-62= 118)}
m<8=62
{(Two other angles in the triangle)59+59= 118. 180-118= 62}
m<9=62
(This angle and m<8 are congruent.)
m<10=118
(This angle and m<7 are congruent.)
m<11=31
(Same reason as m<4)
I hope this helps!
Answer: 1,395 gallons
Step-by-step explanation:
There are 31 days in December.
If using this water fixture would reduce water usage to 45 gallons per day, the number of gallons to be used in December is:
= 45 * 31 days
= 1,395 gallons
<span>Assuming that Josh throws the discus 36 times, the expected value of y will be the length each discus reaches for each throw all added together. Specifically, it will be discus throw one, plus discus throw two -- all the way to discus throw thirty-six. Adding all of those throws together will provide the expected value of Y.</span>