Juan's least integer scores in both tests will be 85 and 100 respectively.
- Test average of his two scores is atleast 92
Let :
- Score on test 1 = b
- Score on test 2 = b + 15
Average score can be related thus:
- (Sum of score ÷ number of test) ≥ 92
- (b + b + 15) ÷ 2 ≥ 92
- (2b + 15) ÷ 2 = 92
- 2b + 15 = 184
- 2b = 184 - 15
- 2b = 169
- b = 169 ÷ 2
- b = 84.5
Therefore, since both scores are integers, his least scores on both tests will be ::
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Answer:
The <u>distance</u> <em>between</em> the two given points is equal to √85.
Step-by-step explanation:
Let's recall what the distance formula is:

We are defined our two points as:
- (x₁, y₁) → (1, -7)
- (x₂, y₂) → (7, 0)
We can rewrite this into our different "variables":
- x₁ = 1
- y₁ = -7
- x₂ = 7
- y₂ = 0
Now given our distance formula and our variables, we can find the distance between the two points:

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.
Hope this helps!
Answer:
x=5 and x=15
Step-by-step explanation:
3x^2-60x+225=0
3x^2-60x+225/3=0/3
x^2-20x+75=0
x^2-5x-15x+75=0
x(x-5)-15(x-5)=0
(x-5)(x-15)=0
x-5=0 x-15=0
x=5 x=15
Answer:
a)
, b) 
Step-by-step explanation:
a) The rate of change of the brightness of the Cepheid can be determined by deriving the function in time:


b) The rate of increase after one day is:

