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ryzh [129]
3 years ago
13

Given the functions f(x)=2x^2-3x-8 and g(x)=3x2+5x+1

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0

Answer:

B

Step-by-step explanation:

the product (2x² - 3x - 8)(3x² + 5x + 1) is required

multiply each term in the second factor by each term in the first factor.

= 2x²(3x² + 5x + 1) - 3x(3x² + 5x + 1) - 8(3x² + 5x + 1) ← distribute

= 6x^{4} + 10x³ + 2x² - 9x³ - 15x² - 3x - 24x² - 40x - 8

collecting like terms gives

6x^{4} + x³ - 37x² - 43x - 8 → B


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Use the quadratic formula to solve the equation if necessary round to the nearest hundredth x^2+x-30=0
yaroslaw [1]

Answer:

(x-5)(x+6)=0

Step-by-step explanation:

hehe i doing the smae unit rn.

if a=1 (which it does do ac factoring)

you need two numbers that multiply to -30 and add to 1. those numbers  are 5 and -6.

substitute 1x for -5x + 6x.

group the numbers into pairs and find their gcf's

x(x-5)    6(x-5)

since the parenthesis r the same yo only need one. Now you need to put x and 6 in a parenthesis.

FINAL: (x-5)(x+6) hope this helps

6 0
3 years ago
Quadratic form of f(x)=(x+7)^2
Triss [41]

Answer:

x^2 + 14x + 49

Step-by-step explanation:

Use the distributive property:

(x + 7)(x + 7) = x^2 + 7x + 7x + 49 = x^2 + 14x + 49

3 0
2 years ago
A function f(x) is graphed on the coordinate plane.
Sidana [21]

Answer: y = - 4x + 2


Explanation:


The graph shows a linear function, which is a first degree polynomial, whose form is ax + b.


The rule or fucntion is f(x) = y = ax + b. This form is called the slope-intercept form, because the coefficient a is the slope of the line and b is the y-intercept.


The graph permits you to calculate both parameters.


1) The slope, a is defined in this way:

  • a = rise / run = [change in y] / [change in x] = [y₂ -y₁] / [x₂ - x₁]
  • you can use the points (0, - 2) and (-1,2):

       ⇒ a = [ 2 - (-2) ] / [ -1 - 0 ] = 4 / (-1) = - 4

2) b, the y-intercept, is the value of the function, y, when x = 0. In the graph you can see that this is - 2. b =  - 2.


3) Substituting the values of a and b in the form y = ax + b, you the rule:

  • y = - 4x - 2


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