Answer:
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope of unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
Let
t ----> the number of years since 2011
y --->the car's value
In this problem the year 2011 represent t=0
so
the year 2015, represent t=4 years (2015-2011)
we have the ordered pairs
(0,25,000) ----> represent the y-intercept
(4,12,000)
<em>Find the slope m</em>
The formula to calculate the slope between two points is equal to
substitute the values
---> is negative because is a decreasing function
we have
----> value of y when the value of x is equal to zero (initial value)
substitute the given values
Answer:
1, 13, 5 are correct
Step-by-step explanation:
Answer:
Q1 d, Q2 c, Q3 d
Step-by-step explanation:
Q1
g(x)=-3x+1
g(x)=16 means that
-3x+1=16 subtract 1 from both sides
-3x=16-1 combine like terms and divide both sides by -3
x=-15/3=-5
Q2
g(x)=3x²+4x-1
g(2) means that x=2 so substitute
g(2)=3*2²+4*2-1=12+8-1=19
Q3
domain are the x values
range are the y values
Answer:
A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is compressed against the floor a distance of 2.00 cm, and the toy is released. If the toy has a mass of 117 g and rises to a maximum height of 45.0 cm, estimate the force constant of the spring.
Step-by-step explanation:
Answer:
Step-by-step explanation:
From the picture attached,
∠4 = 45°, ∠5 = 135° and ∠10 = ∠11
Part A
∠1 = ∠4 = 45° [Vertically opposite angles]
∠1 + ∠3 = 180° [Linear pair of angles]
∠3 = 180° - ∠1
= 180° - 45°
= 135°
∠2 = ∠3 = 135° [Vertically opposite angles]
∠8 = ∠5 = 135° [Vertically opposite angles]
∠5 + ∠6 = 180° [Linear pair of angles]
∠6 = 180° - 135°
∠6 = 45°
∠7 = ∠6 = 45° [Vertically opposite angles]
By triangle sum theorem,
m∠4 + m∠7 + m∠10 = 180°
45° + 45° + m∠10 = 180°
m∠10 = 180° - 90°
m∠10 = 90°
m∠10 = m∠12 = 90° [Vertically opposite angles]
m∠10 = m∠11 = 90° [Given]
Part B
1). ∠1 ≅ ∠4 [Vertically opposite angles]
2). ∠7 + ∠5 = 180° [Linear pair]
3). ∠9 + ∠10 = 180° [Linear pair]
