Because
![\frac{f(x)}{x-3} = 2x^{2} + 10x - 1](https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%28x%29%7D%7Bx-3%7D%20%3D%202x%5E%7B2%7D%20%2B%2010x%20-%201)
therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k = constant.
Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
= 2x³ + 4x² - 31x + 7
Answer: f(x) = 2x³ + 4x² - 31x + 7
Answer:NO SOL
Step-by-step explanation:
Simplifying and applying the distributive property, we get 10x-1=10x+8. Subtracting 10x from both sides, we get -1 = 8, which is impossible. Thus, there are no solutions.
Answer:
The y-intercept is the point (0,5)
Step-by-step explanation:
we know that
The y-intercept is the value of y when the value of x is equal to zero
In this problem the value of y is a constant for all values of x
so
For x=0
The value of y=5
therefore
The y-intercept is the point (0,5)
Answer:
The number of ways to draw 2 cards from a deck of 52 cards
Probability of drawing the ace of spades: P = 1/52 (there is 1 ace of spade)
Probability of drawing a king: P = 4/52 (there is 4 kings)
The first card is replaced before the 2nd card is drawn, then:
=> Probability of drawing the ace of spades and any king:
P = Probability of 1st drawing the ace of spades and 2nd drawing any king +
Probability of 1st drawing any king and 2nd drawing the ace of spades.
= (1/52) x (4/52) + x (4/52) x (1/52)
= (1/52) x (4/52) x 2
= 0.003
Hope this helps!
:)
Answer:
In composite figures the total area of the composite figure should be broken up into smaller area comprising of rectangles, squares, circle, semi-circles, right angle triangles, isosceles triangles and right angled triangles.
All the areas should be calculated separately and finally should be added to give the total area of the composite area,
The need for subtraction arises only if the dimensions of each smaller area are not given.
Step-by-step explanation:
In composite figures the total area of the composite figure should be broken up into smaller area comprising of rectangles, squares, circle, semi-circles, right angle triangles, isosceles triangles and right angled triangles.
All the areas should be calculated separately and finally should be added to give the total area of the composite area,
The need for subtraction arises only if the dimensions of each smaller area are not given.