Answer:
25 minutes 42 seconds
Step-by-step explanation:
The tub will fill at the rate of ...
2.25 gal/min - 0.50 gal/min = 1.75 gal/min
It will take ...
45 gal/(1.75 gal/min) ≈ 25.714 min
for the tub to fill.
You can shower for about 25 minutes 42 seconds.
The factored form of the expression
is ![(x+3)(x-3)](https://tex.z-dn.net/?f=%28x%2B3%29%28x-3%29)
The expression x^2 + 9 has no real roots hence cannot be factored
Quadratic equations are equations with a degree of 2.
Given the quadratic function ![x^2-9 \ and \ x^2+9](https://tex.z-dn.net/?f=x%5E2-9%20%5C%20and%20%5C%20x%5E2%2B9)
For the function ![x^2 - 9](https://tex.z-dn.net/?f=x%5E2%20-%209)
![=x^2-9\\=x^2-3^2](https://tex.z-dn.net/?f=%3Dx%5E2-9%5C%5C%3Dx%5E2-3%5E2)
Using the difference of two squares:
![a^2-b^2=(a-b)(a+b)\\x^2-3^2=(x-3)(x+3)](https://tex.z-dn.net/?f=a%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5C%5Cx%5E2-3%5E2%3D%28x-3%29%28x%2B3%29)
For the expression x^2 + 9
The expression x^2 + 9 has no real roots hence cannot be factored
Learn more on factorization here: brainly.com/question/20293447
The least-square regression line has a slope of:
m=(nΣxy-ΣyΣx)/(nΣx²-ΣxΣx)
and a y-intercept of:
b=(Σy-mΣx)/n
In this case: n=7, Σxy=4899, Σy=391, Σx=85, Σx²=1153 so
m=(7(4899)-391*85)/(7(1153)-85*85))=1058/846
b=(391*846-85*1058)/(7*846)=34408/846
So the line of best fit is:
y=(1058x+34408)/846 and if we approximated this as your answers see to have done....
y=1.25x+40.67
Answer:
Reminder that is this form a(b)^x where a > 0
When b > 0 but < 1 that is a decay function
When b > 1 than its a growth function
Step-by-step explanation:
So following this you can figure out the answer
g(x)=0.3(x)
this is neither since there is no exponent (linear)
H=72(56)^t
this is growth since b = 56
A=(43)^t
this is growth since b = 43 ("a" is understood as "1")
H=5.9(0.82)^t
this is decay since b = 0.82
y=0.8(3.6)^t
this is growth since b = 3.6
f(t)=0.72(15)^t
this is growth since b = 14
A=49(8)^t
this is growth since b = 8
-x/8<-1/2. Use the reverse order of operations to solve this. So, as both sides are negative, multiply them by -1 to get you to x/8>1/2, as multiplying by a negative flips the symbol. Solve that by multiplying 1/2 to 8/1. Multiply the numerators and denominators, to give you 8/2. Simplified, x>4