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SSSSS [86.1K]
3 years ago
12

Solve x2 + 20x + 100 = 36 for x. Use completing the sqaure

Mathematics
1 answer:
Papessa [141]3 years ago
7 0
X^2+20x+100=36
-subtract 100 and move to other side
x^2+20x____=36-100
-divide 20 by 2 which gives you 10.
-square 10= (10)^2 which gives you 100.
-add the 100 to the right side of the equation.
(x+10)^2 = 36-100+100
(x+10)^2=36
-cancel out the square root and square root 36
(x+10)= 6
-subtract 10
x=-4

*Plug in (-4) into the equation to check your work*
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H(t)=-16t^2+96x+256. what is the initial value?
Eduardwww [97]

Answer:

256

Step-by-step explanation:

The intial value should be where it started which in this case would be when

t = 0

So if you make t = 0

h(0) = 16(0)^2+96(0)+256

h(0)= 256

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3 years ago
2(x-1)=x+4 don't understand how to solve this
Masteriza [31]

Answer:

x=6

Step-by-step explanation:

2(x-1)=x+4    multiply 2 to x and -1

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7 0
3 years ago
An element with a mass of 550 grams decays by 18.8% per minute. To the nearest minute, how long will it be until there are 60 gr
dmitriy555 [2]

Answer:  11

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab  

x

 

a=\text{starting value = }550

a=starting value = 550

r=\text{rate = }18.8\% = 0.188

r=rate = 18.8%=0.188

\text{Exponential Decay:}

Exponential Decay:

b=1-r=1-0.188=0.812

b=1−r=1−0.188=0.812

\text{Write Exponential Function:}

Write Exponential Function:

y=550(0.812)^x

y=550(0.812)  

x

 

Put it all together

\text{Plug in y-value:}

Plug in y-value:

60=550(0.812)^x

60=550(0.812)  

x

 

\frac{60}{550}=\frac{550(0.812)^x}{550}

550

60

​  

=  

550

550(0.812)  

x

 

​  

 

Divide both sides by 550

0.109091=0.812^x

0.109091=0.812  

x

 

\log 0.109091=\log 0.812^x

log0.109091=log0.812  

x

 

Take the log of both sides

\log 0.109091=x\log 0.812

log0.109091=xlog0.812

use power rule to bring x to the front

\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}

log0.812

log0.109091

​  

=  

log0.812

xlog0.812

​  

 

Divide both sides by log(0.812)

10.638757=x

10.638757=x

x\approx 11

x≈11

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Answer:

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