Answer:
-5.1x + 12.3
Step-by-step explanation:
Combine like terms: first, combine the x terms, obtaining -5.1x.
Next, combine the constants, obtaining 12.3.
The simplified expression is -5.1x + 12.3
Answer:
It is required to draw a number line showing equivalent fractions.
'Equivalent fractions' are the fractions having same value even though the digits involved are different'.
For example: Consider,
and
.
Now, we have,
= 0.5
= 0.5
Thus, the both fractions have the same value, even though we are dividing different digits.
Thus,
and
are called equivalent fractions.
So, we plot them on the number line, resulting in the following figure with point P = 0.5.
Answer:
To graph the equation, you need to find the slope and y-intercept.
y = mx + b
⬑<em>[slope-intercept formula; m is the slope, and b is the y-intercept]</em>
y = 4x + −1
⬑<em>[given equation before being simplified]</em>
y = 4x − 1
⬑<em>[given equation]</em>
║m = 4
║b = (0, −1)
Proof:
m =
= 
x₁ = 0
x₂ = 1
y₁ = −1
y₂ = 3
m = 
║m = 4
║b = (0, −1)
<em>[the value for x₁ and y₁ equals the </em><em>y-intercept: (0, </em>−<em>1)</em><em>]</em>
Graph: