Answer:
3a) y = -0.1x +26000
3b) $16500
4a) y = 8.2x - 16451.27
4b) 79.93
Step-by-step explanation:
3a) y = -0.1x +26000
3b) If the odometer reads 95000 we need to plug in that value for x: y = -0.1(95000) + 26000 = $16500
4a) y = 8.2x - 16451.27
4b) To estimate the number the rabbits in the year 2016, we need to plug in that value for x: y = 8.2(2016) - 16451.27 = 79.93 = 80 rabbits
Answer:
B
Step-by-step explanation:
Givens
a^2 + b^2 = c^2
a = 4x
b = x + 2
c = 3x + 4
Solution
(4x)^2 + (x + 2)^2 = (3x + 4)^3 Remove all the brackets.
16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16 Collect like terms on the left
17x^2 + 4x + 4 = 9x^2 + 24x + 16 Subtract the terms on the right
8x^2 - 20x - 12 = 0
This factors into
(4x - 12)(2x + 1)
There are 2 answers
4x - 12 = 0
4x = 12
x = 12/4
x = 3
or
2x + 1 = 0
2x = - 1
x = - 1/2
You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.
So the only answer is x = 3
Answer: C. ∠SQP and ∠TQR
Step-by-step explanation:
Since, by the given diagram,
m∠TQR = m∠SQP (vertical angles)
And, m∠TQP < m∠TQR
By adding ∠TQR on both sides,
m∠TQP + m∠TQR < m∠TQR+m∠TQR
⇒m∠TQP + m∠TQR < 2 ∠TQR
⇒ 180° < 2 m∠TQR ( Because ∠TQP and ∠TQR are linear angles)
⇒ 90° < m∠TQR
Hence ∠TQR is a obtuse angle,
⇒ ∠SQP also is a obtuse angle.
Answer: -4 and 2
Step-by-step explanation:
negative 4 and positive 2 is the answer
To answer this we need to perimeter of the room, this is 12 + 12 + 10 + 10 = 44 feet
