If it's a reflection over the x-axis, it should be (6,3)
Answer:
150
Step-by-step explanation:
45........0.3
x ..........1 (same as 100%)
x = 450/3 = 150
:)
Answer:
291870 kilotons
Step-by-step explanation:
Since the country cuts its carbon content by 1.1% each year. The initial value at the first year is 50000. Therefore this can be represented by the exponential function:
y = a(b)ˣ ⁻ ¹
where y is the amount of carbon emission in kilotons in x years.
a = 50000, b = 100% - 1.1% = 98.9% = 0.989
y = 50000(0.989)ˣ ⁻ ¹
In the first year: y = 50000(0.989)¹ ⁻ ¹ = 50000
In the second year: y = 50000(0.989)² ⁻ ¹ = 49450
In the third year: y = 50000(0.989)³ ⁻ ¹ = 48906
In the fourth year: y = 50000(0.989)⁴ ⁻ ¹ = 48368
In the fifth year: y = 50000(0.989)⁵ ⁻ ¹ = 47836
In the sixth year: y = 50000(0.989)¹ ⁻ ¹ = 47310
The total emission in 6 years = 50000 + 49450 + 48906 + 48368 + 47836 + 47310 = 291870 kilotons
A college admissions office uses the following equation to predict the grade point average of an incoming student:
z = 0.003x + 0.8y − 4,
where z is the predicted college GPA on a scale of 0 to 4.3, and x is the sum of the student’s SAT Math and SAT Verbal on a scale of 400 to 1600, and y is the student’s high school GPA on a scale of 0 to 4.3. The college admits students whose predicted GPA is at least 2.3.
Will a student with SATs of 1050 and high school GPA of 3.0 be admitted
Answer:
A. No because Z = 1.55 which is less than the required predicted college gpa of 2.3 for admission.
Step-by-step explanation:
Z = 0.003x + 0.8y - 4
X = sat score
Y = high school gpa
Z = predicted college gpa
X =1050
Y = 3.0
Z = .003 *(1050) + 0.8*(3.0) -4
Z = 1.55 which is less than the required predicted college gpa of 2.3 for admission
5x+2-x=9
-2 -2
5x-x=7
4x=7
--- ---
4 4
X= 1.75
