Which ordered pair is the best estimate for the solution of the
1 answer:
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Answer:
x = 15 or x = -
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = -
The workings to the answers are in the attachments below. Open them up in a new window to see them in full.
Lowest Point On The Graph:
(4.480878208, -61.32441280)
Highest Point On The Graph:
(1.155422854, 17.23818241)
2nd Lowest Point On The Graph:
(-0.3863010618, 7.23076164)
Lowest Point On The Graph:
(4.480878208, -61.32441280)
Highest Point On The Graph:
(1.155422854, 17.23818241)
2nd Lowest Point On The Graph:
(-0.3863010618, 7.23076164)
Answer:
A) slope of f(x) = 3 , slope of g(x) = 7
B) y intercept of f(x) is 0 and g(x) is 2
So g(x) has greater y intercept
Step-by-step explanation:
Lets find equation of f(x) using the given table
LEts take two points from the table (0,0) (1,3)
we use equation y=mx+b
where m is the slope and b is the y intercept
we got m = 3, we use (0,0) and find out b
y=mx+b
0 = 3(0) + b
so b=0
So equation for f(x)= 3x +0
slope =3 and y intercept = 0
For equation g(x) = 7x +2 , slope = 7 and y intercept = 2