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mr Goodwill [35]
3 years ago
8

Which ordered pairs are solutions to the inequality y − 4x ≤ −6?

Mathematics
1 answer:
Troyanec [42]3 years ago
7 0
Choice a:
The order pair given is (<span>1, 3)
y-4x = 3-4(1) = -1
-1 is greater than -6
Therefore, this choice is wrong

Choice b:
</span>The order pair given is (-2, -14)
y-4x = -14-4(-2) = -6
-6 is equal -6
Therefore, this choice is correct

Choice c:
The order pair given is (-1, -9)
y-4x = -9-4(-1) = -5
-5 is greater than -6
Therefore, this choice is wrong

Choice d:
The order pair given is (3, 5)
y-4x = 5-4(3) = -7
-7 is less than -6
Therefore, this choice is correct

Choice e:
The order pair given is (0, -5)
y-4x = -5-4(0) = -5
-5 is greater than -6
Therefore, this choice is wrong
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2 years ago
What are the coordinates of the vertex of the parabola described by the equation below? y=7(x+5)^2-4
Ipatiy [6.2K]

Answer:

y= 7(x+5)^2 -4

The vertex form for a parabola is given by this expression:

y = a(x-h)^2 +k

By direct comparison we see that for this case:

a = 7, h = -5 and k=-4

And we know from the general expression that the vertex is:

V= (h,k)

So then the vertex for this case is:

V= (-5,-4)

Step-by-step explanation:

For this case we have the following function:

y= 7(x+5)^2 -4

And we need to take in count that the vertex form for a parabola is given by this expression:

y = a(x-h)^2 +k

By direct comparison we see that for this case:

a = 7, h = -5 and k=-4

And we know from the general expression that the vertex is:

V= (h,k)

So then the vertex for this case is:

V= (-5,-4)

4 0
2 years ago
Of all the people that attend movies 67% are in the 12-29 age group. At one theater, 300 people attended a showing of a certain
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Solve for x 1/3(x+1)+2x=2
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Answer:

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Step-by-step explanation:

See answer above pls____

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Read 2 more answers
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