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Kipish [7]
3 years ago
15

What is the vertex for the equation f(x)=3(x+4)^2-5

Mathematics
2 answers:
Strike441 [17]3 years ago
5 0
F(x) = 3(x + 4)² - 5
f(x) = 3(x + 4)(x + 4) - 5
f(x) = 3(x² + 4x + 4x + 16) - 5
f(x) = 3(x² + 8x + 16) - 5
f(x) = 3(x²) + 3(8x) + 3(16) - 5
f(x) = 3x² + 24x + 48 - 5
f(x) = 3x² + 24x + 43
Ivahew [28]3 years ago
4 0
Take derivative..
f'(x) = 3*2*(x+4)
f'(x) is must be equal to 0.
6*(x+4)=0
x=-4

for x=-4; what is the y value?
for x=-4; f(x)=-5

the vertex is (-4,-5)<span />
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Melanie connected a brown garden hose, a green garden hose, and a black garden hose to make one long hose. The brown hose is 10.
natta225 [31]

Answer:

35.65 feet

Step-by-step explanation:

Melanie connected a brown garden hose , a green garden hose and a black garden hose to make one long hose

The brown hose is 10.75 feet

The green hose is 16.4 feet

The black hose is 8.5 feet

Therefore the farthest distance that the one hose can reach can be calculated as follows

= 10.75 + 16.4 + 8.5

= 35.65 feet

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3 0
3 years ago
Plz help me with this
goldenfox [79]
Area of triangle=1/2(base×height)
360=1/2((4x-2)(7x+5))
720=(4x-2)(7x+5)
FOIL the binomial
720=28x^2+6x-10
Bring 720 to the other side
28x^2+6x-10-720=0
28x^2+6x-730=0
Factor 2 out
2(14x^2+3x-365)=0
Factor 2(14x+73)(x-5)=0
x-5=0
x=5
It can't be 14x-73=0 because the length can't be negative.
You're welcome.
5 0
3 years ago
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uranmaximum [27]

Answer:

addition property

Step-by-step explanation:

See attached image.

7 0
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