Answer:
the second option is the correct one
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)
m = 
= 
= 
Use either of the 2 points as (a, b)
using (- 4, - 1), then
y- (- 1) = (x - (- 4)), that is
y + 1 = (x + 4)
Answer:
$8.1
Step-by-step explanation:
Convert 45 yards of ribbon to feet through proper conversion factor.
(45 yards)(3 ft / 1 yard) = 135 feet
Divide this number by 5 to determine the number of 5-ft ribbon that customers can purchased.
n = 135 ft / 5 ft = 27
Then, multiply by $0.80.
R = (27)($0.80) = $21.6
The profit is equal to $21.6 and $13.50,
P = $21.6 - $13.50 = $8.1
Answer: $8.1
Answer:
- f⁻¹(x) = (x + 1) / (x - 2)
- f⁻¹(1 ) = - 2
Step-by-step explanation:
<u>Given function:</u>
- f(x) = (2x + 1) / (x - 1)
<u>Find its inverse, substitute x with y and f(x) with x, solve for y:</u>
- x = (2y + 1) / (y - 1)
- x(y - 1) = 2y + 1
- xy - x = 2y + 1
- xy - 2y = x + 1
- y(x - 2) = x + 1
- y = (x + 1) / (x - 2)
<u>Substitute y with f⁻¹(x):</u>
- f⁻¹(x) = (x + 1) / (x - 2)
<u>Find f⁻¹(1 ):</u>
- f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2
X^2-7x+38=5x+3
x^2-7x+38-5x-3=5x+3-5x-3
x^2-12x+35=0
Factoring:
(x-5)(x-7)=0
Two solutions:
x-5=0→x-5+5=0+5→x=5
x-7=0→x-7+7=0+7→x=7
Answer: x=5 and x=7
Answer: Options B. 7 and D. 5
