Answer: option B. it has the highest y-intercept.
Explanation:
1) point -slope equation of the line
y - y₁ = m (x - x₁)
2) Replace (x₁, y₁) with the point (5,3):
y - 5 = m (x - 3)
3) Expand using distributive property and simplify:
y - 5 = mx - 3m ⇒ y = mx + 5 - 3m
4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept
⇒ slope = m
⇒ b = 5 - 3m = y - intercept.
Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.
Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).
Answer:
<h3>180</h3>
Step-by-step explanation:
<h3>45 × -6 = 45 × [10+(-6)]</h3><h3>45 × (10-6)</h3><h3>45 × 4</h3><h3>180</h3>
Just by estimating, 54% is a little over 1/2 of 168. You know by that, that neither A or B is close. The real answer is 90.72, so if your instructor wants you to round up, it would be D
Answer:
387, or you can do it another way in the problem if you like/.
Step-by-step explanation:
3x9=27
4x9=36
36+2=38
387
The solution of this equation is x = 5 and x = 9.
<h3>What is the solution?</h3>
Let us recall that what we have here is a radical equation as follows;
√7x+1 - √x-5 = 6
When we isolate we have';
√7x+1 = √x-5+6
Taking the square of both sides;
(√7x+1)^2 = (√x-5+6)^2
Hence;
7x+1 = x-5+36+12√x-5
-12√x-5 = -7x-1+x-5+36
12√x-5 = 6x-30
Raising this equation to power 2
144x-720 = 36x^2-360x+900
When we rearrange we obtain;
36x2 - 504x + 1620 = 0
Hence;
x = 5 and x = 9
Learn more about radical equation:brainly.com/question/8606917
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