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Masja [62]
2 years ago
7

Find the solutions to the system:

Mathematics
1 answer:
Arlecino [84]2 years ago
5 0

Answer:

x = 3 - y\\  {(3 - y)}^{2}  +  {y}^{2}  = 9 \\  \\ y = 0 \:  \: x =  3 \\ y = 3  \:  \:  \: x = 0\\  \\  \\ b \: is \: corret \: answer

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When a number is added to six times its square, the result is twelve. Find the number.
7nadin3 [17]
Let's represent our number as x.
x is being added to 6 * x², and it equals 12
x + 6x^{2}=12\\6x^{2}+x-12=0
Factor:
6x^{2}+x-12=0\\(2x+3)(3x-4)=0
Solve for x:
(2x+3)=0\\2x=-3\\x=\frac{-3}{2}\\\\(3x-4)=0\\3x=4\\x=\frac{4}{3}

Therefore, x = -3/2 and 4/3.
6 0
2 years ago
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The number of students enrolled at a college is 15,000 and grows 4% each year
Kipish [7]

Answer:

15,000

Step-by-step explanation:

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6 0
2 years ago
A line that includes the point (-3,-4) and (-4,f ) has a slope of 6. What is the value of f?
Eduardwww [97]

Answer:

f = -10

( -3, -4) ( - 4 , -10)

Step-by-step explanation:

Formula for slope

m =( y_2 - y_1)/(x _2 - x _1)

m = 6

6 = (y_2 - y_1) / (x _2 - x_1)

Substitute the points

( -3 , -4) ( -4 , f)

x_1 = -3

y_1 = -4

x_2 = -4

y_2 = f

Insert the values into

6 = (y_2 - y_1) / (x_2 - x_1)

6 = (f - (-4))/ ( -4 - (-3)

6 = ( f + 4)/ ( -4 + 3)

Cross multiply

6 ( -4 + 3) = f + 4

6 ( -1) = f + 4

-6 = f + 4

-6 - 4 = f

f = -6 - 4

f = -10

( -3 , -4) ( -3 , f)

The value of f is -10

( -3 , -4) ( -3 , -10)

8 0
3 years ago
Help plz????Real answers only!!!
Contact [7]

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Answer: 0

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

7 0
2 years ago
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For the function f(x)=3xsquared- 2x+5 find f(1) f(-2) and f(a)
Oksanka [162]
f(x)=3x^2-2x+5\\\\&#10;f(1):\ \ Substitude\ 1 \ as\ x\ into\ function:\\&#10;f(1)=3*1^2-2*1+5=3-2+5=\textbf{6}\\\\&#10;f(-2)\ \ Substitude\ x=-2\\&#10;f(-2)=3*(-2)^2-2*(-2)+5=3*4+4+5=12+4+5=\textbf{21}\\\\&#10;f(a)\ \ substitude\ x=a\\&#10;f(a)=\underline{3a^2-2a+5}
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3 years ago
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