Answer:
Step-by-step explanation:
<u>First, find the equation of the line</u>.
<em>Slope-intercept form</em> of a linear equation: 
(where m is the slope and b is the y-intercept)
From inspection of the graph, the y-intercept is at (0, -4)
Therefore, b = -4
Choose another point on the line, e.g. (7, 0)
Now use the slope formula to find the slope:
where:
Therefore, the equation of the line is:
For an inequality, the dashed line means < or > (whereas a solid line means ≤ or ≥)
As the shading is below the line, we need to use <
Therefore, the final inequality is:
Answer:
subscribe to nu tella
Step-by-step explanation:
if u cant find him search up <u>5 minute led lights. Enjoy!</u>
Answer:
33, 44
Step-by-step explanation:
11 feet in 9 minutes
27 minutes is 3 times as long as 9 minutes, meaning it would be 3 times as more feet. it would crawl 33 feet in 27 minutes.
36 minutes is 4 times as long as 9 minutes, meaning it would be 4 times as more feet. It would crawl 44 feet in 36 minutes.
Working step by step I first see all my different groups then add them all together
so
12 - cats
15 - dogs
6 - both
9 - neither
12 students + 15 students + 6 students + 9 students = 42 students
therefore 42 students are in the class
16 + 10 + 3 + 12 = 41
I’m sorry if i got it wrong!
Answer:
The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)
Step-by-step explanation:
we have
This is a vertical parabola open upward (the leading coefficient is positive)
The vertex is a minimum
The coordinates of the vertex is the point (h,k)
step 1
Find the vertex of the quadratic function
Factor the leading coefficient 2
Complete the square
Rewrite as perfect squares
The vertex is the point (-\frac{3}{4},-\frac{49}{8})
step 2
Find the x-intercepts (values of x when the value of f(x) is equal to zero)
For f(x)=0
take the square root both sides
therefore
The function f(x) is negative in the interval (-2.5,1)
The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)
see the attached figure to better understand the problem
