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>
The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.
<h3>
What can we say about the x-intercepts of the given functions?</h3>
For a function f(x), the x-intercept is the value of x such that:
f(x) = 0.
Here we have:
p(x) = log₂(x - 1)
Remember that:
logₙ(1) = 0
For any base n, then the x-intercept of p(x) is x = 2, because:
p(2) = log₂(2 - 1) = log₂(1) = 0.
The other function is:
g(x) = 2ˣ - 1
Remember that any number to the power of zero is equal to 1, then:
g(0) = 2⁰ - 1 = 1 - 1 = 0
The x-intercept of p(x) is x = 2, the x-intercept of g(x) is x = 0, then the correct option is B.
If you want to learn more about x-intercepts:
brainly.com/question/3951754
#SPJ1
<span>
1/4 n (-24+8m-100p)
= -24n/4 + 8mn/4 - 100np/4
= -6n + 2mn - 25np
answer
</span>A. -6n + 2mn - 25np
Answer:
The value of y is y=15
Step-by-step explanation:
We have:
AB = 6y – 3, BC = 4y – 5, and CD = 7y – 18
We define the isosceles trapezoid as it has two opposites parallel, the two other opposites legs are equal and also the diagonals are equal.
Here AB = CD
6y-3 = 7y-18
Combine the like terms:
18-3 = 7y-6y
15 = y
It means the value of y is y=15....
<h3>
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➷ Standard deviation = 
Substitute the values in:
= 8.1975...
This can be rounded to give an approximate answer of 8.2
The answer is option A.
<h3><u>
✽</u></h3>
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