Answer:
4,4
Step-by-step explanation:
80×5,5%
80/1×5,5/100
4/1×5,5/5
22/5 = 4 2/5
4 2/5 = 4 4/10 = 44/10 = 4,4
Answer:
y=4x-1 i think
Step-by-step explanation:
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)
(4x + 7)² = 60
(4x + 7)(4x + 7) = 60
(4x² + 28x + 28x + 49) = 60
4x² + 56x + 49 = 60
<u> -49 -49</u>
4x² + 56x = 11
4x² + 56x - 11 = 11 - 11
4x² + 56x - 11 = 0
x = <u>-56 +/- √(56² - 4(4)(-11))</u>
2(4)
x = <u>-56 +/- √(3136 + 88)</u>
8
x = <u>-56 +/- √(3174)</u>
8
x = <u>-56 +/- 56.34</u>
8
x = -7 +/- 7.0425
x = -7 + 7.70425 x = -7 - 7.70425
x = 0.70425 x = -14.70425
Answer: C. y=1/3x+3
Step-by-step explanation:
The line hits the y axis at 3 so 3 is the y intercept and the line rises one accross 3 so 1/3 is your slope. Together its y=1/3x+3
