Answer:
<h3>2x + 5y = –15.</h3>
Step-by-step explanation:
We are given coordinates of the line passed through (–5, –1) and (10, –7) .
Applying slope formula,
Therefore,
Therefore, slope is .
Applying point-slope form we get
On multiplying both sides by 5, we get
5y+35=-2(x-10)
5y+35=-2x+20
Adding 2x on both sides, we get
5y+25+2x=-2x+20+2x
2x+5y+35=20
Subtracting 35 from both sides, we get
2x+5y+35-35=20-35
2x+5y=-15.
Therefore, required equation is :
<h3>2x + 5y = –15.</h3>
Considering the vertex of the parabola, the correct statement is given by:
The range of the function is all real numbers less than or equal to 9.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point, which means that the range is all real numbers less than or equal to .
- If a > 0, the vertex is a minimum point, which means that the range is all real numbers greater than or equal to .
In this problem, we have that:
- a = -1 < 0, hence the vertex is a maximum point.
Hence the range is described by:
The range of the function is all real numbers less than or equal to 9.
More can be learned about the vertex of a parabola at brainly.com/question/24737967
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The expression for the amount of money, in dollars, Teri has is x-2.
Since Jennie has x dollars while Teri has $6 less than does Jennie, this means that Teri will have: x - 6
Since Teri does not spend any money and earns $4, the the total amount that Teri has will be:
= x - 6 + 4
= x - 2
Therefore, Teri has x-2.
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