Answer:
=−10x+45
Step-by-step explanation:
5(x−3(x−3))
=−10x+45
Answer:
The value of Lucys house at the start of 2017 is 231525.
Step-by-step explanation:
It is given that the initial value of Lucys house is 200,000. The at the start of 2017.
The exponential function is defined as

Where, P₀ is initial value, r is growth rate, t is time in years.
The value of house is defined by the function

Where, t is number of years after 2014.

The difference between 2017 and 2014 is 3 years.

Therefore the value of Lucys house at the start of 2017 is 231525.
<h2>
Range of x </h2><h3>
and x>6</h3><h3>
Step-by-step explanation:</h3>
Given AB = 4x + 5, BC = 3x - 2 and AC 9x -5
The sum of the length of any two sides of a triangle is greater than the length of third side.
Case I
AB + BC > AC
⇔4x +5 +3x -2 > 9x -5
⇔7x + 3 >9x - 5
⇔ 7x -9x > -5 -3
⇔-2x > -8
⇔x <4
Case II
if AB+AC > BC
4x +5 +9x -5> 3x -2
⇔13x >3x -2
⇔ 13x -3x> -2
⇔10x > -2
⇔x >
Case III
AC+BC > AB
⇔9x - 5 +3x - 2 > 4x +5
⇔6x -7 > 4x +5
⇔6x -4x >5+7
⇔2x > 12
⇔x > 6
Answer:
MZA = 140
Step-by-step explanation:
5x+25°+ x + 17°=180°(Supplimentary Angles)
6x + 42° =180°
6x =180 - 42
6x=138
(divide by 6 both sides)
X= 23
substitution X into the given angle
5x +25
5(23)+25
115+25
140
8) x represents the number of pounds of peanuts, and y represents the number of pounds of raisins
9)
Solve:
x+2y=9
-2y -2y
x=9-2y
2(9-2y) + 3y=14
18-4y+3y=14
-18 -18
-y=-4
y=4
x+2(4)=9
x+8=9
x=1