Answer:
x = 3, y = 1
Step-by-step explanation:
2 raised to what power gives you 16?
2*2*2*2 = 16 so 2^4
3 raised to what power gives you 9?
3*3 = 9 so 3^2
the exponent cannot be negative so x has to be greater than y and x cannot be the same as y otherwise you will get a 0.
x = 3 , y = 1
2^(3+1) = 2^4 = 16
3^(3-1) = 3^2 = 9
Answer:
-10
Step-by-step explanation:
Note that the points plotted on the line is by 2 (essentially, each line signifies 2).
The blue point is on the 5th line from the 0. 5 x -2 = -10
-10 is your answer.
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Answer:
<u>2) Vertical scale does not begin with zero</u>
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 )
(a)
here m = -
and c = 6, hence
y = -
x + 6 ← equation of line
(b)
here m = 6, hence
y = 6x + c ← is the partial equation
to find c substitute (2, - 6 ) into the partial equation
- 6 = 12 + c ⇒ c = - 6 - 12 = - 18
y = 6x - 18 ← equation of line
(c)
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)
m =
=
, hence
y =
x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 1, 3 ), then
3 = -
+ c → c = 3 +
= 
y =
x +
← equation of line
Answer:
< (less than)
Step-by-step explanation:
since abs value changes it to positive it would be
5 and 9
5 < 9