Answer: imma say A
Step-by-step explanation: sorry if wrong
<h2>
For a = 1 and b = 10 x+1 and x+2 factors of x³-ax²-bx-8 = 0</h2><h2>
Other factor is (x-4)</h2>
Step-by-step explanation:
We have
x³-ax²-bx-8 = 0
Its factors are x+1 and x+2
That is x = -1 and x = -2 are its roots
Substituting x = -1
(-1)³-a(-1)²-b(-1)-8 = 0
-1 - a + b - 8 = 0
b - a = 9 ---------------------eqn 1
Substituting x = -2
(-2)³-a(-2)²-b(-2)-8 = 0
-8 - 4a + 2b - 8 = 0
2b - 4a = 16 ---------------------eqn 2
eqn 1 x -2
-2b + 2a = -18 ---------------------eqn 3
eqn 2 + eqn 3
-2a = -2
a = 1
Substituting in eqn 1
b - 1 = 9
b = 10
For a = 1 and b = 10, x+1 and x+2 factors of x³-ax²-bx-8 = 0
The equation is x³-x²-10x-8 = 0
Dividing with x + 1 we will get
x³-x²-10x-8 = (x+1)(x²-2x-8)
Dividing (x²-2x-8) with x + 2 we will get
x²-2x-8 = (x+2)(x-4)
So we have
x³-x²-10x-8 = (x+1)(x+2)(x-4)
Other factor is (x-4)
The last gas station she stopped at she got 6.6 gallons and paid $20.39
If they lower the price by 6%, that means she would pay 94% of the original amount ( 100% - 6% = 94%)
Multiply the amount she paid by 94%:
20.39 x 0.94 = 19.17
She would pay $19.17 total.
Now divide that by the number of gallons bought:
19.17 / 6.6 = $2.90 per gallon ( Rounded to the nearest cent).
The x-intercept of a function is the point where it crosses the x-axis.
The x-intercept of g(x)=log(x + 4) is -3
<h3>How to determine the x-intercept</h3>
We have:
f(x) = log(x)
Rewrite as:
y = log(x)
Apply the exponent rule
Set y to 0
Given that f(x) is shifted 4 units left to get g(x).
The x-intercept of g(x) is then calculated as:
Hence, the x-intercept of g(x)=log(x + 4) is -3
Read more about intercepts at:
brainly.com/question/570062
Answer:
The points present in the first quadrant are of the form (a, b) where a, b>0.
Step-by-step explanation:
The points present in the first quadrant are of the form (a, b) where a, b>0.
In the first quadrant both the abscissa and ordinate are positive.
In the second quadrant the abscissa is negative and ordinate is positive.
In the third quadrant both the abscissa and ordinate are negative.
In the forth quadrant both the abscissa is positive and ordinate are negative.
The examples of points in the first quadrant are (1,0), (2,3), (11,4) and many other.
For more explanation, refer the following link:
brainly.com/question/25038683
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