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Greeley [361]
3 years ago
11

A linear function g(x) passes through the points (3, -1) and (-6, -4). What is the y-intercept of the function? Write the soluti

on as an ordered pair. * ··· /1 Captionless Image

Mathematics
2 answers:
rosijanka [135]3 years ago
8 0

Answer:

the y-intercept of this function is -2 or (0, -2)

Step-by-step explanation:

pashok25 [27]3 years ago
6 0

Answer:

the y-intercept of this function is -2 or (0, -2)

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Is x+y+1=0 a tangent of both y^2=4x and x^2=4y parabolas?
Lubov Fominskaja [6]

Answer:

  yes

Step-by-step explanation:

The line intersects each parabola in one point, so is tangent to both.

__

For the first parabola, the point of intersection is ...

  y^2 = 4(-y-1)

  y^2 +4y +4 = 0

  (y+2)^2 = 0

  y = -2 . . . . . . . . one solution only

  x = -(-2)-1 = 1

The point of intersection is (1, -2).

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For the second parabola, the equation is the same, but with x and y interchanged:

  x^2 = 4(-x-1)

  (x +2)^2 = 0

  x = -2, y = 1 . . . . . one point of intersection only

___

If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.

_____

Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.

7 0
3 years ago
3x-6y=15<br> -3x-9y=-30<br><br> Please help!! Its due in 30 minutes!!
olchik [2.2K]

Step-by-step explanation:

Refer to the attachment.

I hope it helps:)

3 0
3 years ago
The functions f and g are defined by these sets if input and output values.
erastovalidia [21]
(x,y)
x=input
y=output
example
we see
g=(1,2)
theefor
g(1)=2


a.
f(4)=1
g(1)=2
g(f(4))=2

b.
g(-2)=4
f(4)=1
f(g(-2))=1

c.
f(3)=5
g(5)=5
f(5)=0
f(g(f(3)))=0
5 0
3 years ago
#8 please. GCF of 117, 99, and 126
Advocard [28]
The factors of 117 are: 1, 3, 9, 13, 39, and 117
The factors of 99 are: 1, 3, 9, 11, 33, and 99 
The factors of 126 are: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126

The greatest common factors of 117, 99, and 126 are: 1, 3, and 9. And according to your answer choices your answer is C. 9
7 0
3 years ago
The mean life of a tire is 30,000 km. The standard deviation is 2000 km. 95% of all tires will have a life between___ km and ___
Llana [10]

Answer:Need more infromation

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3 years ago
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