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3 years ago

Determine whether the function f(x) = 0.25 (2x - 15)^2 + 150 has a maximum or minimum.

Mathematics

1 answer:

AnnyKZ [126]3 years ago

6 0

Answer:

minimum

Step-by-step explanation:

Given a quadratic function in vertex form

f(x) = a(x - h)² + k

• If a > 0 then f(x) is a minimum

• If a < 0 then f(x) is a maximum

f(x) = 0.25(2x - 15)² + 150 ← is in vertex form

with a = 0.25 > 0

Thus f(x) has a minimum turning point

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Round the decimal to a place of the underlined digit 5.657

kipiarov [429]

Answer:

5.6

Step-by-step explanation:

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3 years ago

Angela practices piano for 5 hours on Sundays amd for 3 hours on all other days of the week. How many hours doea Angela practice

Kitty [74]

Answer:8 x 365=2920

Step-by-step explanation:

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Pretty sure this is right, hope it helps.

7 0

2 years ago

Could someone help me understand how to solve this?

monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula $I=P\cdot r\cdot t,$ where

I = interest

P = principal

r = rate (as decimal)

t = time.

<u>4% account:</u>

$P_1=x\\ \\r_1=0.04\\ \\t_1=1,$

then

$I_1=x\cdot 0.04\cdot 1=0.04x$

<u>5% account:</u>

$P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,$

then

$I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)$

You have earned $69.50 in total, so

$I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950$

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Amount in 5% account: $950

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3 years ago

Help needed ASAP will give brainliest AND 5 STARS

blsea [12.9K]

Answer:

Step-by-step explanation:

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3 years ago