Answer:
y = 10/3x + 20
Step-by-step explanation:
First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).
m = y₁ - y₂ / x₁ - x₂
m = 30 - 40 / 3 - 6
m = -10/-3
m = 10/3
Now we know the slope is 10/3.
In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.
Answer:
<em>Bree spoke at 55 assemblies in this district.</em>
Step-by-step explanation:
Bree speaks at school assemblies charging a school district a total cost C modeled by the equation:
C(a) = 50a+1,500
Being a the number of assemblies attending the meeting.
It's given Bree charged the Escambia City School District $4,250 to speak at school assemblies.
We can find the number of assemblies by solving the equation:
50a+1,500=4,250
Subtracting 1,500:
50a=4,250-1,500=2,750
Dividing by 50;
a = 2,750 / 50=55
Bree spoke at 55 assemblies in this district.
Answer:
28 = x
Step-by-step explanation:
62 = angle BAC since they are vertical angles
angle ABC is a right angle since KL is perpendicular to FG
Adding the angles in triangle ABC
BAC + ABC + BCA = 180
62 + 90 + BCA = 180
152 + BCA = 180
BCA = 180-152
BCA = 28
BCA = x since they are vertical angles
28 = x
Answer:
x = 5
Step-by-step explanation:
Answer:
6ab(2a-3b-5b²)
Step-by-step explanation:
6(2a²b-3ab²-5ab³)
6a(2ab-3b²-5b³)
6ab(2a-3b-5b²)
