Answer:
6
Step-by-step explanation:
Recall the area of a triangle formula
where b = base and h = height
The triangle shown has a height of 4cm and a base length 3cm
Using this information we plug in the values into the formula
Hence, the area of the triangle is 6 square centimeters
Answer:
b. 
Step-by-step explanation:
Here,
N = { x ∈ U | x subscribes to News Magazine },
D = { x ∈ U | x subscribes to The Daily Informer },
Such that N∩D ≠ ∅,
Now, the number of the set of people surveyed who subscribe only News Magazine
= Subscribe News Magazine and not Daily Informer
= 
Similarly, the number of the set of people surveyed who subscribe only Daily informer
= Subscribe Daily informer and not subscribe News Magazine
= 
Hence, the set of people surveyed who subscribe to exactly one of the two news sources given
= Subscribe News Magazine and not subscribe Daily Informer or subscribe Daily informer and not subscribe News Magazine
Answer:
I think it's B
Step-by-step explanation:
750 has to be greater so that eliminates the last two. Then it said the number of weeks after starting his collection. He was purchasing 25 cards of week before starting his collection. It may not make sense so don't trust me whatsoever but I hope it helped?
Answer:
a
Step-by-step explanation:
Answer:
6) y = x^(5/3)
7) B
8) C
10) A
Step-by-step explanation:
6) The fifth root is the same as raising to the 1/5 power, so we can write this in exponent form as:
f(x) = (x^(1/5))³
f(x) = x^(3/5)
To find the inverse, switch x and y and solve for y.
x = y^(3/5)
y = x^(5/3)
7) f(x) = 2√(x − 4) + 8
Switch the x and y and solve for y:
x = 2√(y − 4) + 8
x − 8 = 2√(y − 4)
(x − 8) / 2 = √(y − 4)
(x − 8)² / 4 = y − 4
(x² − 16x + 64) / 4 = y − 4
¼x² − 4x + 16 = y − 4
y = ¼x² − 4x + 20
8) Find the inverse:
x = 5√(y + 3) − 2
x + 2 = 5√(y + 3)
(x + 2) / 5 = √(y + 3)
(x + 2)² / 25 = y + 3
y = -3 + (x + 2)² / 25
The inverse function is an upwards parabola with a vertex at (-2, -3). The best fit is C.
desmos.com/calculator/fbabg5wc8b
10) √(4x − 31) = x − 7
Square both sides:
4x − 31 = (x − 7)²
4x − 31 = x² − 14x + 49
Combine like terms:
0 = x² − 18x + 80
Factor:
0 = (x − 8) (x − 10)
x = 8 or 10
Check for extraneous solutions.
√(4×8 − 31) = 8 − 7
1 = 1
√(4×10 − 31) = 10 − 7
3 = 3
x = 8 and x = 10 are both solutions.
