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Tpy6a [65]
2 years ago
15

Whats the extreme value?y=3(x+5)^(2)-4

Mathematics
1 answer:
natta225 [31]2 years ago
6 0

Answer:

-4

Step-by-step explanation:

  • y = 3(x+5)²-4
  • y= 3(x²+10x+25)-4
  • y= 3x²+30x+75-4
  • y= 3x²+30x+71

Derivate the function

  • y' = 6x+30

solve the equation y'= 0

  • y'= 6x+30
  • 6x+30= 0
  • 6x= -30
  • x = -5

The extrme value of y is reached in -5

y = 3(-5+5)²-4= -4

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Answer:
6580cm
Step-by-step explanation:
The answer is 6580cm because....
Step one First let's figure out what the smaller shape's volume is. To do so we need to multiply ( LxWxH ) so 6x5x? it does not list what the height is so we know it has the same height as the larger shape and it's height is 14cm so we will use 14cm. 6x5x14=420cm
Step two Now lets find the Volume of the larger shape. So lets do LxWxH so Lx?x14 it does not give us the length so we need to add up all of the numbers along the line. We got 7cm then 5 from the bottom of the smaller shape and 10cm. all ads up to 22cm so 20x22x14=6160
Finally we add up the following shapes Volume which are 6160+420=6580cm
3 0
3 years ago
Tom has a water tank that holds 5 gallons of water.Tom uses water from a full tank to fill 6 bottles that each hold 16 ounces an
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1/2 Gallon is equal to 64 ounces
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7 0
3 years ago
Write an equation of the line
stellarik [79]
Y = -2 + 6 should be the equation
5 0
3 years ago
Alvin is planning to be out of town for the day, so he asks a friend to dog-sit his 3 dogs. Each dog eats 0.5 pounds of food eve
german

Answer:

2 cans

Step-by-step explanation:

Calculate how many pounds he needs for one day:

3(0.5)=1.5 pounds for each day Alvin is gone ( 3 represents his dogs, .5 is each dog's food)

Convert into ounces:

1.5*16=24 ounces for one day

Question: If dog food is sold in 12 oz cans, how many will he need?

24/12=2 cans

Thus, he will need 2 cans

6 0
2 years ago
2 different companies offer online subscriptions. Company A charges $75 upfront and $20 per month. Company B does not charge the
ki77a [65]

Answer:

15 months

Step-by-step explanation:

Given that company A charges  \$75 upfront and \$20 per month and company B does not charge the upfront fee but charges \$35 per month.

Let after n months both the company charges the same amount.

Total charges by the company A=\$ (75+n\times 20) and total charges by the company B=\$ (n\times 35).

Now, from the given condition both the charges are equal, so

75+n\times 20=n\times 35 \\\Rightarrow 75= 35 n - 20 n\\\Rightarrow 75= 15 n \\\Rightarrow n= \frac {75}{5} \\\Rightarrow n= 15

Hence, after 15 months both the company charges the same amount.

4 0
3 years ago
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