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ludmilkaskok [199]
3 years ago
9

Fourteen students are surveyed about their favorite color. Four students choose green, two choose black, five choose orange, one

chooses gray, and two choose blue. If 28 different students are surveyed, predict how many of the students will pick blue as their favorite color using the results from the survey.
Mathematics
2 answers:
Leya [2.2K]3 years ago
7 0

Answer:

Its 4 students that will pick blue

hammer [34]3 years ago
6 0

4 students will pick blue.

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Use the quadratic formula to solve x^2+8x+9=0
Tju [1.3M]
None of your options, not via complete the square nor quadratic the formula.

Solve for x over the real numbers:
x^2 + 8 x + 9 = 0

x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2

sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2

(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)

(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:

Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________

Solve for x:
x^2 + 8 x + 9 = 0

Subtract 9 from both sides:
x^2 + 8 x = -9

Add 16 to both sides:
x^2 + 8 x + 16 = 7

Write the left hand side as a square:
(x + 4)^2 = 7

Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)

Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)

Subtract 4 from both sides:
Answer:  x = sqrt(7) - 4 or x = -4 - sqrt(7)
4 0
3 years ago
Sylvia wants to save up $1375 to go on vacation to the beach and amusement parks. She saves $55 each week and now has $165 saved
laiz [17]

Answer:

Step-by-step explanation:

55x + 165 = 1375

so just add 55 till you get there

22

6 0
4 years ago
, list the first five terms of each sequence.<br> f(n + 1) = −2f(n) + 8 and f(1) = 1 for n ≥ 1
svet-max [94.6K]

Answer: 1, 7, 1, 7, 1.

Step-by-step explanation:

The given function :  f(n+1)=-2f(n)+8 and  f(1) = 1 for n ≥ 1

We put value of n=1,2,3,4 , we get

For n=1  , f(2)=f(1+1)=-2f(1)+8=-1(1)+8=-1+8=7

For n=2  , f(3)=f(2+1)=-2f(2)+8=-1(7)+8=1

For n=3  , f(4)=f(3+1)=-2f(3)+8=-1(1)+8=7

For n=4  , f(5)=f(4+1)=-2f(4)+8=-1(7)+8=1

Hence, the  first five terms of the given sequence are 1, 7, 1, 7, 1.

7 0
4 years ago
Y=3x-1 identify the slope and y-intercerpt
soldier1979 [14.2K]

Answer: The slope is 3 and the y-intercept is -1

Step-by-step explanation: This is right bro. 100%

7 0
3 years ago
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The key idea of the transformation called a rotation is the moving of the plane a certain about a ______ point.
Svetlanka [38]
The key idea of the transformation called a rotation is the moving of the plane a certain angle around a fixed point.

5 0
3 years ago
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