Answer:
(a) f(7) = 23
(b) x = 13/3
Step-by-step explanation:
Step 1: Define
f(x) = 3x + 2
(a) f(7) is x = 7
(b) f(x) = 15
Step 2: Substitute and Evaluate
(a) f(7) = 3(7) + 2
f(7) = 21 + 2
f(7) = 23
(b) 15 = 3x + 2
13 = 3x
x = 13/3
The reason they have to be simplified is that you cannot add radical unless the number under the radical is the same on all of them.
For example:
If you add √8 + √32 without simplifying, the best you could do is an estimate. But if you're required to put your answer in standard radical form this would be an issue.
So, you would have to simplify to combine:
√4√2 + √16√2
2√2 + 4√2
6√2
Hope this helped!
Answer: Normally C/C++
Step-by-step explanation:
Answer:
rom the relation for linear regression formula, Y = b·X + a, we have ;
For car 1
ΣXY = 102780
(ΣX)² = 36
ΣX = 6
ΣY = 52390
ΣX² = 14
N = 3
b = -1000
a = 19463
Y = -1000×X + 19463
For Car 2
ΣXY = 102539.8
(ΣX)² = 36
ΣX = 6
ΣY = 52346.6
ΣX² = 14
N = 3 .
b = -1076.7
a = 19602
Y = -1076.7×X + 19602
Step-by-step explanation:
part B ^
Answer:
y - value of the vertex is 49.
Step-by-step explanation:
Given function is f(x) = -(x - 3)(x + 11)
f(x) = -(x² - 3x + 11x - 33)
= -(x² + 8x - 33)
= -(x² + 8x + 16 - 49)
= -[(x + 4)² - 49]
= -(x + 4)² + 49
Comparing this equation with the vertex form of a quadratic function,
f(x) = -(x - h)² + k
Where (h, k) is the vertex of the function.
Vertex of the parabola is (-4, 49)
Therefore, y-value of the vertex is 49.