Answer:
Step-by-step explanation:
I uploaded a picture of the graph, but you can go to the site, Desmos. Just plug in your equation, and you will get the equation graphed.
Answer:
see explanation
Step-by-step explanation:
given the 2 equations
y = x² - 2x - 19 → (1)
y + 4x = 5 → (2)
substitute y = x² - 2x - 19 into (2)
x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )
x² + 2x - 24 = 0 ← in standard form
(x + 6)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
substitute each value of x into (1) for corresponding y- coordinate
x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)
x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)
the solutions are (- 6, 29), (4, - 11)
Answer:
Each hat is $5
Each mask is $3
Step-by-step explanation:
Hat= x dollars
Mask= y dollars
Now,
3 hats and 4 mask sold = $27
We can write
3x + 4y = 27
Adding the second equation (-1 times 1st equation) gives us;
3x + 6y = 33
-1* (3x + 4y = 27)
3x + 6y = 33
-3x -4y = 27
2y = 6
y = 6/2
***y = 3***
Now we replace y= 3 into 1st equation and solve for x:
3x + 4y = 27
3x + 4(3) = 27
3x + 12 = 27
3x + 15
x = 15/3
***x= 5***
Each hat costs $5
Each mask costs $3
Answer:
Step-by-step explanation:
1) Initial water level = 30 feet
2) Rate of change = (30 - 25) / (0 - 1) = 5/(-1) = -5
5ft per hour
3) y-intercept = 30
