Answer:
if ypu are looking for the minimum it is ( - 5/2 , 3/4) but if you are looking for the vertical intercept it is ( 0 , 7)
Answer: -9 for the first one -1440 i think
Step-by-step explanation:
Answer:
(- 1, 8 ) and (5, 2 )
Step-by-step explanation:
Given the 2 equations
y = - x + 7 → (1)
y = 0.5(x - 3)² → (2)
Substitute y = 0.5(x - 3)² into (1)
0.5(x - 3 )² = - x + 7 ← expand and simplify left side
0.5(x² - 6x + 9) = - x + 7 ( multiply both sides by 2 )
x² - 6x + 9 = - 2x + 14 ( subtract - 2x + 14 from both sides )
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = 1 + 7 = 8 ⇒ (- 1, 8 )
Answer:
7th term = -2187
Step-by-step explanation:
The formula for nth term of a geometric sequence is given by:
Where
- a is the first term,
- r is the common ratio,
- n is the nth term (term number)
Since the question gives us the formula and wants to know 7th term, we just plug in 7 into n:
∠1 and ∠2 are supplementary angles, and so they will equal 180°
note that:
m∠1=4x+3
m∠2=3x−5
Plug in the corresponding expression for the angle
(4x + 3) + (3x - 5) = 180
Simplify. Combine like terms
7x - 2 = 180
Isolate the x. Note the equal sign. What you do to one side you do to the other.
Add 2 to both sides
7x - 2 (+2) = 180 (+2)
7x = 182
Divide 7 from both sides
7x/7 = 182/7
x = 182/7
x = 26
26 is your answer for x.
hope this helps
