The function f(t) that describes this scenario will be A = -42.57t + 1399.28
- Let the amount of oil remaining after time t be A
- Let the time taken be "t"
This required linear expression will be given as A= mt + b
Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)
m is the rate of change = 633-931/18-11
m = -298/7
m = -42.57
Get the intercept;
633 = -42.57(18) + b
633 = -766.29 + b
b = 1,399.28
Heence the function f(t) that describes this scenario will be A = -42.57t + 1399.28
Learn more on functions here; brainly.com/question/17431959
Answer:
equation is: width = area / length
width = 62.5 yd
Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²
For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd
Hope this helps :)
Answer:
1.a=2
2. C x=2 and x=-3
Step-by-step explanation:
The standard form for the quadratic function is
ax^2 +bx+c
so we need to rewrite the function to be in this form
2x^2 -10 = 7x
Subtract 7x from each side
2x^2 -7x-10 = 7x-7x
2x^2 -7x-10 = 0
a =2, b= -7 c=-10
2. The quadratic formula is
-b ± sqrt(b^2 -4ac)
----------------------------
2a
2x^2 + 2x=12
Lest get the equation in proper form
2x^2 + 2x-12 = 12-12
2x^2 +2x-12 =0
a=2 b=2 c=-12
Lets substitute what we know
-2 ± sqrt(2^2 -4(2)(-12))
----------------------------
2(2)
-2 ± sqrt(4+96)
----------------------------
2(2)
-2 ± sqrt(100)
----------------------------
4
-2 ± 10
----------------------------
4
-2 + 10 -2-10
----------- and --------------
4 4
8/4 and -12/4
2 and -3
Answer:
Trustworthiness
Step-by-step explanation:
For qualitative researchers, we have
1. Credibility
2. Transferability
3. Dependability
4. Confirmability and
5. Trustworthiness
While for quantitative researchers, we have
1. Internal validity
2. External validity
3. Reliability
4. Objectivity.
Trustworthiness is the qualitative research counterpart of validity and reliability.
25 - 5x = 80
+ 5x + 5x
25 = 5x + 80
- 80 -80
-55 = 5x
-55/5 = 11
x = 11
Hope I helped!
Let me know if you need anything else!
~ Zoe
