F(x) = 3x
F(7) = 21
g(x) = -x + 1
g(7) = -7 + 1 = -6
(F x g)(7) = (21) (-6) = -126
Sorry don't follow what I just said I misread the question.
20% because the 15-12=3 and then you cross multiply 3 and 100 and then you divide by 15. Which is 20.
3. x
-- --
15 100
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
Answer:
x = 9 ⇒ second answer
Step-by-step explanation:
∵ (a + 3)(-2a² + 15a + 6) =
-2a³ + 15a² + 6a - 6a² + 45a + 18 =
-2a³ + 9a² + 51a + 18
∵ (a + 3)(-2a² + 15a + 6) = -2a³ + xa² + 51a + 18
∴ -2a³ + 9a² + 51a + 18 = -2a³ + xa² + 51a + 18
∴ x = 9
