Answer:
its so easy just try
Step-by-step explanation:
you dont need this app to be smart but it is very helpful
>, When 2=x 6 times 8-2x is 44 while 6(5+x) is 42
Answer:
(0, - 3) and (4, 5)
Step-by-step explanation:
Given the 2 equations
y = x² - 2x - 3 → (1)
y = 2x - 3 → (2)
Substitute y = x² - 2x - 3 into (2)
x² - 2x - 3 = 2x - 3 ← subtract 2x - 3 from both sides
x² - 4x = 0 ← in standard form
x(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x - 4 = 0 ⇒ x = 4
Substitute these values into (2) for corresponding values of y
x = 0 → y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = 4 → y = 2(4) - 3 = 8 - 3 = 5 ⇒ (4, 5 )
Answer:
max height = 7.5 ft
1.3 ft far
Please check below for the detailed answer
Step-by-step explanation:
<u>Given: </u>
f(x) = −0.3x^2 + 2.1x + 7
a) To obtain the maximum height , find f'(x)
f'(x) = - 0.6x + 0.8 = 0
=> x = 0.8 / 0.6 = 1.33 feet
So f(x) is maximum at a horizontal distance of 1.33 ft
To find the max height , find f(1.33)
f(x) = −0.3x^2 + 2.1x + 7, plug in 1.33 for x
=> f(1.33) = −0.3(1.77) + 0.8(1.33) + 7 = 7.5 ft
So the answer is
Maximum height = 7.5 ft , and 1.3 ft far from where it was thrown.