<span>The function h(t) = 210 – 15t has the slope-intercept form of the equation of a straight line. The y-intercept represents the amount h at the very beginning (when t=0). The negative slope (-15) represents the amount by which h will decrease if t is increased by 1.
We are manipulating the value of time, t, so time, t, is the independent variable, and h(t) = y is the dependent variable.</span>
Answer:
y= 3- x/3
Step-by-step explanation:
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: y=9−3x so it becomes x=9−3y.
Now, solve the equation x=9−3y for y. You would just need to leave y alone so you divide by 3 on both sides (NOT negative 3. Just 3.)
Step-by-step explanation:
The given inequality is
Subtract 10 from both sides
Divide both sides by 5 to get:
We draw a closed circle at 5 and draw the arrow to the left.
See it in the attachment.
Answer:
x = -4
m<LMP = 77°
m<NMP = 103°
Step-by-step explanation:
Straight angles by definition have a total measure of 180°.
This means that m<LMP and m<NMP are 180° together.
Therefore m<LMP + m<NMP = 180°.
[substitution property]
(-16x + 13)° + (-20x + 23)° = 180°
[associative property of addition]
(-36x + 36)° = 180°
-36x + 36 = 180
–36 –36
-36x = 144
÷-36 ÷-36
x = -4
_________________
Since m<LMP = (-16x + 13)°.
Using substitution with x = -4:
m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.
Since m<NMP = (-20x + 23)°.
Using substitution with x = -4:
m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.
This is true because 77° + 103° = 180°.
Answer:
the answers are 13, ab/2, 20 and 15x²/2
