From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, when x increases by 20, y decays by 6, hence the slope is given by:
Then:
y = -0.3x + b.
When x = -54, y = 12, hence:
y = -0.3x + b
12 = -0.3(-54) + b.
b = -4.2.
Thus, the equation is:
y = -0.3x - 4.2.
The x-intercept is the value of x when y = 0, hence:
-0.3x - 4.2 = 0.
x = -4.2/0.3
x = -14
More can be learned about linear functions at brainly.com/question/24808124
Answer:
840
Step-by-step explanation:
2,000(0.07) = 140
find the amount of interest per year
140(6) = 840
hope it helps!
Answer:
yes make the triangle 2/3 the size it is right now most likely by dragging it inwards
Step-by-step explanation:
Answer:
x = -20
Step-by-step explanation:
Solve for x:
50 = 5 x - 8 x - 7 - 3
Grouping like terms, 5 x - 8 x - 7 - 3 = (5 x - 8 x) + (-3 - 7):
50 = (5 x - 8 x) + (-3 - 7)
5 x - 8 x = -3 x:
50 = -3 x + (-3 - 7)
-3 - 7 = -10:
50 = -10 - 3 x
50 = -3 x - 10 is equivalent to -3 x - 10 = 50:
-3 x - 10 = 50
Add 10 to both sides:
(10 - 10) - 3 x = 10 + 50
10 - 10 = 0:
-3 x = 50 + 10
50 + 10 = 60:
-3 x = 60
Divide both sides of -3 x = 60 by -3:
(-3 x)/(-3) = 60/(-3)
(-3)/(-3) = 1:
x = 60/(-3)
The gcd of 60 and -3 is 3, so 60/(-3) = (3×20)/(3 (-1)) = 3/3×20/(-1) = 20/(-1):
x = 20/(-1)
Multiply numerator and denominator of 20/(-1) by -1:
Answer: x = -20
Answer:
7 1/4
Step-by-step explanation:
58/8=29/4=7.25=7 1/4
