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zhenek [66]
3 years ago
13

Solve the following quadratic by completing the square. y = x2 - 6x + 7

Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0

Answer:

x = 5  or   x = 1

Step-by-step explanation:

 x² - 6x + 7 = 0

x² - 6x = -7

x² - 6x + 9 = -7 + 9      1/2 of the x term than square it and add it the both sides.

(x - 3)(x - 3) = 2

( x -3)² = 2

\sqrt{(x - 3)^2 = \sqrt{2}

(x -  3) = ± 2

x - 3 = 2  or  x - 3 = -2

x = 5     or  x = 1

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A city has a population of 240,000 people. Suppose that each year the population grows by 7.75%. What will the population be aft
emmasim [6.3K]

Answer:

\large\boxed{\sf \ \ \   404,699 \ \ \ }

Step-by-step explanation:

Hello,

At the beginning the population is 240,000

After 1 year the population will be

   240,000*(1+7.75%)=240,000*1.0775

After n years the population will be

   240,000\cdot1.0775^n

So after 7 years the population will be

   240,000\cdot1.0775^7=404699.058...

So rounded to the nearest whole number gives 404,699

Hope this helps

7 0
4 years ago
What is the answer to a and b please and thank you
vagabundo [1.1K]
A.) according to the graph, Austin appears to be burning 10 calories per minute. If you look at a perfect point on the graph, which I chose (50,5) and you do x over y or calories per minute, you get a unit rate of 10 calories per minute.

b.) Since you have already found the unit rate in question a, your slope would be 10. 
5 0
4 years ago
PLEASE HELP!!! HELP ME ANSWER A
olga nikolaevna [1]

Answer:

125,000 * 1.0625^t years

Step-by-step explanation:

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100 + 6.25 = 106.25

106.25/100 = 1.0625

therefore, 125,000 * 1.0625^years

6 0
3 years ago
What is the multiplicative inverse of -5 1/2​
stira [4]

Answer:

idk

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A display case for the artifact is in the shape of a cube. Each side of the display case is three times longer than the width ww
Katena32 [7]
A cube is a 3d object bounded by  6 square faces. 

Each side of the display case is 3 times longer than the width of the artifact.

width of the artifact = w
side of the cube = 3w

<span>a. Write an expression for the volume of the case.
 volume of a cube is the measure of its side raised to the power of 3.

Volume = (3w)</span>³

<span>Volume = 27w</span>³<span>

</span>
6 0
3 years ago
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