Answer:
the answer is $12.67
Step-by-step explanation:
Answer:
Option A is correct answer
Answer:
b = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = - 2 , then
y = - 2x + b ← is the partial equation
To find b substitute (5, - 7 ) into the partial equation
- 7 = - 10 + b ⇒ b = - 7 + 10 = 3
Answer:
B, E
Step-by-step explanation:
The equation of that line in slope intercept form is y = -2/5x + 2
The slope of a line parallel to that line will be the same as its slope, so -2/5.
To find the y-intercept of a line that passes through the point (-5, 1) with that slope, you will have to plug in the x and y values of that point into what you know of the equation of the line.
y = -2/5x + b
1 = -2/5(-5) + b
1 = 2 + b
-1 = b
From this, you can construct an equation.
y = -2/5x - 1
However, this is not an answer choice.
It cannot be A because this line does not have a slope of -1.
2x + 5y = 15
5y = -2x - 5
y = -2/5x - 1
It can be B because this line is the same as the equation we came up with.
It cannot be C because this line does not have a slope of -1 or a y-intercept of -3.
2x + 5y = -15
5y = -2x - 15
y = -2/5x - 3
It cannot be D because this line does not have a y-intercept of -3.
y - 1 = -2/5(x + 5)
y - 1 = -2/5x - 2
y = -2/5x - 1
It can be E because this equation matches the one we came up with.
2 Answers:
Choice C) It will use a closed circle
Choice D) The ray will move to the left
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Explanation:
The inequality
means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was
to exclude the endpoint -8.
The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.
In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.