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brilliants [131]
2 years ago
5

Has to be turned in soon at 9:00 it's 7:50

Mathematics
1 answer:
disa [49]2 years ago
7 0

Answer:

A

Step-by-step explanation:

b must always be greater than 0 since 12b-15 must always be greater than 21. You can simplify the ineqaulity to see things easier; 12b>36. Again, this ineqaulity can be simplified; b>3. A is the closest answer here, but there should be an open interval at 3 for A to be correct.

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What is the y-intercept, axis of symmetry and vertex of the following function.
Pepsi [2]

Complete the square:

F(x) = -3x² - 6x - 5

F(x) = -3 (x² + 2x) - 5

F(x) = -3 (x² + 2x + 1 - 1) - 5

F(x) = -3 ((x + 1)² - 1) - 5

F(x) = -3 (x + 1)² + 3 - 5

F(x) = -3 (x + 1)² - 2

The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :

F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5

The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.

The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from

(x + 1)² ≥ 0   ⇒   -3 (x + 1)² ≤ 0   ⇒   -3 (x + 1)² - 2 ≤ -2

This is to say, every point on the parabola has a y-coordinate no greater than -2.

As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.

4 0
2 years ago
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Bumek [7]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Easy 100 points, plz answer ASP! Please include an explanation!!
valina [46]

Answer:

The third option

Step-by-step explanation:

the most reasonable

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3 years ago
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What is the value of x? −7.5(x−3)=3.75
Elena L [17]

{\boxed{ \Huge{ \blue{ \mathcal{{ Answer}}}}}}

⇛-7.5(x−3) = 3.75

⇛-7.5x + 22.5 = 3.75

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⇛-7.5x = -18.75

⇛x = -18.75 ÷ -7.5

⇛x = -18.75/-7.5

⇛x = 2.5

8 0
2 years ago
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What is the slope of the line on the graph below
Nuetrik [128]
B) 2/1
find a point, you go up 2 and then over 1!
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