Answer: y = -x + 5
Step-by-step explanation:
A slope-intercept equation is in the form y = <em>m</em>x + <em>b</em> where <em>m</em> is the slope and <em>b</em> is the <em>y</em>-intercept. Since we are given the slope, we will plug it in with the point they gave us, and solve for <em>b</em>.
y = <em>m</em>x + <em>b</em>
(1) = (-1)(4) + <em>b</em>
1 = -4 + b
5 = b
Lastly, we will write our equation by substituting <em>m</em> with -1 and <em>b</em> with 5.
y = <em>m</em>x + <em>b</em>
y = -1x + 5 or y = -x + 5
<em> Read more about </em><em>slope-intercept equations</em><em> here:</em>
<em>brainly.com/question/27497166</em>
A of the yard= L*l=16*14= 224 feet²
A of the fountain= πR²
d=2R
4=2R
R=4:2=2
A of the fountain= 2²π=4 *3,14= 12,56 feet²
A of the grass portion= 224-12,56= 211,43 feet²
answer d)211,43 feet²
Answer:
(0, - 3 ) and (- 1, - 5 )
Step-by-step explanation:
Given the 2 equations
y = 4x² + 6x - 3 → (1)
y = 2x - 3 → (2)
Substitute y = 4x² + 6x - 3 into (2)
4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
4x² + 4x = 0 ← factor out 4x from each term
4x(x + 1) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )
Answer:
(x, y) = (3, 5)
Step-by-step explanation:
To solve these equations graphically, you plot each one, then identify the coordinates of the point of intersection.
The first equation can be graphed using the y-intercept of -1 and the slope of 2.
The second equation has a y-intercept of 18/3 = 6, and a slope of -1/3. The x-intercept of 18 is off the chart, so the slope and intercept are a good way to plot this line, too.
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The slope is the "rise" divided by the "run". A slope of 2 means the line goes up 2 units for each unit to the right. A slope of -1/3 means the line goes down 1 unit for each 3 units to the right.
The solution is (x, y) = (3, 5).
Question: Mia and Kai want to rent a canoe at the boathouse on the river. It costs $6.95 to rent a canoe for 1 hour. The price per hour stays the same for up to 3 hours of rental. After 3 hours, the cost decreases to $4.50 per hour. How much would it cost Mia and Kai to rent a canoe for 4 hours?
Answer:
$23.30
Step-by-step explanation:
To do this I did 6.45(3) + 6.45-4.50
20. 85 + 2.45
23.30
Hope this helps ya!
