The slope and y-intercept of this function is
B. The slope is 5/6, The y-intercept is (0, -3
<h3>How to find the slope and the y-intercept</h3>
Linear function is a function of the form y = mx + c
m = slope
c = intercept
The slope is represented as m, The slope by definition is the ratio change of the output values to the input values
the slope, m calculated using the points (0, -3) and (6, 2)
m = (y₀ - y₁) / (x₀ - x₁)
m = (2 - -3) / (6 - 0)
m = (5) / (6)
m = 5/6
c = y intercept, from the table
c = -3
Learn more about slope of linear functions at:
brainly.com/question/29323505
#SPJ1
Answer:
C
Step-by-step explanation:
Line AC is equal to line DF.
Answer:
2602.142857 (you can simplify if you want)
Step-by-step explanation:
just act like the fraction sign is a division sign and then divide the two number.
Hope this helped!
Answers and Step-by-step explanations:
9-18.
a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.
Then, we can just solve for x by subtracting 30 and 115 from both sides:
x = 180 - 115 - 30 = 35 degrees
b) Again all three angles should add up to 180, so:
x + x + x = 180 ⇒ 3x = 180 ⇒ x = 180/3 = 60 degrees
9-19.
a) These angles add up to 180:
2x + x + 30 = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50
2x = 50 * 2 = 100
The missing angles are 100 degrees and 50 degrees.
b) Again, these add up to 180:
x + 10 + x + 90 = 180 ⇒ 2x + 100 = 180 ⇒ 2x = 80 ⇒ x = 40
x + 10 = 40 + 10 = 50
The missing angles are 50 degrees and 40 degrees.
Hope this helps!
The series converges to 1/(1-9x) for -1/9<x<1/9
Given the series is ∑ 
We have to find the values of x for which the series converges.
We know,
∑ 
converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, ∑ 
is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for -1/9<x<1/9
And geometric series converges to a/(1-r)
Here, a = 1 and r = 9x
Therefore, a/(1-r) = 1/(1-9x)
Hence, the given series converges to 1/1-9x for -1/9<x<1/9
For more information about convergence of series, visit
brainly.com/question/15415793
#SPJ4
