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Lostsunrise [7]
2 years ago
12

A parabola opens up and passes through (-4, 2) and (6, -3). How do you know that (-4, 2) is not the vertex

Mathematics
1 answer:
Ainat [17]2 years ago
4 0

Answer:

Step-by-step explanation:

The minimum is at the vertex of this parabola because it opens up.

Now if (-4, 2) is the minimum then  all the y values on the parabola must be > 2,

But we are given that  y = -3 is on the graph ( the point (6,-3) - that is y < 2 here,

Therefore (-4, 2)  cannot be the vertex .

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Three research departments have 9 , 6 , and 8 members, respectively. Each department is to select a delegate and an alternate to
erastova [34]
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3 years ago
graph the solution to the following system of inequalities y&lt;-2x+7, y greater than or equal to 2x - 3 ​
Alex777 [14]

Answer:

See attached diagram

Step-by-step explanation:

Graph the solution of the inequality y First, draw the dotted line y=-2x+7 (dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).

Graph the solution of the inequality y\ge 2x-3. First, draw the solid line y=2x-3 (solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).

The intersection of both regions is the solution of the system of two inequalities.

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3 years ago
Is an angle that is greater than 90 degrees is acute True or False
Brilliant_brown [7]
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7 0
3 years ago
Read 2 more answers
3.27x+1.28y+1.83x−2.77y
Firdavs [7]

Answer:

5.1x - 1.49y

Step-by-step explanation:

We need to add or substract like terms.

like terms are the terms that have the same variable, in this case:

3.27x and 1.83x are like terms, and adding them we get:

3.27x + 1.83x = 5.1x (you add only the coefficients and the x stays the same)

we do the same for the terms with 'y':

1.28y and −2.77y are like terms, but in this case we must substract because of the − sign:

1.28y −2.77y = -1.49y

the final answer is the conjunction of the two results that we obtained:

5.1x - 1.49y

8 0
3 years ago
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Fiesta28 [93]

Answer:

C

Step-by-step explanation:

subtract 5 from both sides

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3 years ago
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