<span>1x + 2x = 15
3x = 15
3x/3 = 15/3
x = 5
Gemma = 1x, Zak = 2x therefore Gemma = 5 and Zak = 10</span>
The expression (5x + 4)^3 in expanded form is 125 x3 + 300
x2 + 240 x + 64. The expression will
have also a root of x = -4/5. This is the form of trinomial expansion and can
be solve by multiplying the the term 3
times.
Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
Answer:
Obtuse angles have a measure that is greater than 90 but less than 180 degrees, while acute angles have a measure that is less than 90 but greater than 0.
Step-by-step explanation:
Obtuse angles have a measure that is greater than 90 but less than 180 degrees because 180 degree angle is a straight angle. Any angle that is greater than 181 but less than 360 degrees is known as a reflex angle. Acute angles have a measure that is less than 90 but greater than 0 because anything with a higher of lower degree of measure would be consider a different angle.
