Answer:
Answer Question 1:
Blank 1: Corresponding
Blank 2: congruent
Blank 3: similar
Blank 4: proportional
Question 2:
Blank 1: shape
Blank 2: size.
Step-by-step explanation:
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The complete question is
"On a piece of paper, graph f(x) = 4. (0.5)^x Then determine which answer choice matches the graph you drew."
The given function is an exponential function. The graph of option C is the correct answer.
<h3>What are exponential functions?</h3>
When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
There usual form is specified below. They are written in several such equivalent forms.
For example, 
, where a is a constant is an exponential function.
The function is given as
f(x) = 4. (0.5)^x
AS we can see that the given function is an exponential function.
Thus, the graph of option C is the correct answer.
Learn more about exponential here:
brainly.com/question/2193820
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Answer: D
Step-by-step explanation:
Answer:
a) y = 1/2x + 5/2
y = 2/5x + 29/5
b) hair will be 19 inches for both at 33 months
Step-by-step explanation:
a) rate of growth of friend's hair: (3, 4) (8, 6.5)
(6.5 - 4) ÷ (8 - 3) = 2.5/5 or 1/2
find the y-intercept of equation for growth of friend's hair:
y = mx + b
4 = 1/2(3) + b
4 = 3/2 + b
8/2 - 3/2 = b
5/2 = b
equation for growth of friend's hair:
y = 1/2x + 5/2
rate of growth of cousin's hair: (3, 7) (8, 9)
(9 - 7) ÷ (8 - 3) = 2/5
find the y-intercept of equation for growth of cousin's hair:
y = mx + b
9 = 2/5(8) + b
9 = 16/5 + b
45/5 - 16/5 = b
29/5 = b
equation for growth of cousin's hair:
y = 2/5x + 29/5
b) y = 1/2x + 5/2
y = 2/5x + 29/5
1/2x + 5/2 = 2/5x + 29/5
5/10x + 25/10 = 4/10x + 58/10
1/10x = 33/10
10x = 3300
x = 33
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x - y = 8 ( subtract 5x from both sides )
- y = - 5x + 8 ( multiply through by - 1 )
y = 5x - 8 ← in slope- intercept form
with slope m = 5 and y- intercept c = - 8
