To find T, you add 25 to both sides, isolating the varible. This gives you T=-19
Hope this helped!
Answer:
24
Step-by-step explanation:
the rate of change is represented by the 24, just like in the slope-intercept equation y = mx + b, where "m" represents the slope, or rate of change.
Answer:
Step-by-step explanation:
a. Since the parabola is compressed by a factor of 1/3 we can state:
- a parabola is written this way : y=(x-h)²+k
- h stands for the translation to the left ⇒ 2*3=6
- k for the units down ⇒4*3=12
So the equation is : y=(x-6)²+12
b.Here the parabola is stretched by a factor of 2 so we must multiply by 1/2
- We khow that a parabola is written this way : y=(x-h)²+k
- (h,k) are the coordinates of the vertex
- the maximum value is 7*0.5=3.5
- we khow tha the derivative of a quadratic function is null in the maximum value
- so let's derivate (x-h)²+k= x²+h²-2xh+k
- f'(x)= 2x-2h h is 1 since the axe of simmetry is x=1
- f'(x)=2x-2 ⇒2x-2=0⇒ x= 1
- Now we khow that 1 is the point where the derivative is null
- f(1)=3.5
- 3.5=(x-1)²+k
- 3.5= (1-1)²+k⇒ k=3.5
So the equation is : y=(x-1)²+3.5
7.
the maximum height is where the derivative equals 0
- h= -5.25(t-4)²+86
- h= -5.25(t²-8t+16)+86
- h=-5.25t²+42t-84+86
- h=-5.25t²+42t+2
Let's derivate it :
- f(x)= -10.5t+42
- -10.5t+42=0
- 42=10.5t
- t= 42/10.5=4
When the height was at max t=4s
- h(max)= -5.25(4-4)²+86 = 86 m
h was 86m
Answer:
Please see the answers below:
Step-by-step explanation:
The wrong answers are deleted only the correct answers are listed below:
- Ryan earns $45 for 5 hours of work. The unit rate is $9 for 1 hour.
- Jenna can drive her car 110 miles on 5 gallons of gasoline. The unit rate is 22 miles per gallon.
- Claire saves $320 in 16 weeks. The unit rate is $20 per week.
- % increase in price of gas = [(New Price - Original Price) / Original Price] x 100
% increase in price of gas = [($2.48 - $2.18) / $2.18] x 100
% increase in price of gas = [$0.3 / $2.18] x 100
% increase in price of gas = 13.76%
$80 hourly used limousine
80 * .20 = $16 tip
$80 + $16 = $96 <span>he spent hourly charges plus tip
$96 * 4 = $384 total for 4 hours plus tip</span>
