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alina1380 [7]
3 years ago
14

What is the expression in factored form? 4x^2+11x+6Show work please!!

Mathematics
2 answers:
Irina18 [472]3 years ago
6 0
To solve this I'm going to split the middle term.
First multiply the first and last terms:
24x^2
So find two numbers that multiply to 24x^2 and add to 11x.
This would be 3x and 8x
Rewrite the problem as
4x^2+3x+8x+6
Take the first and 3rd and 2nd and 4th terms
4x^2 and 8x
and
3x and 6
Factor by grouping
Take out a 4x for the first group to get 4x(x+2)
Take out a 3 for the 2nd group to get 3(x+2)
Rewrite as (4x+3)(x+2)
Hope this helps.

pshichka [43]3 years ago
5 0
4x²+11x+6 in factored form is (4x+3) (x+2)
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tekilochka [14]

Answer:

Part 1) f(-3)=21

Part 2) g(3)=9+21r

Step-by-step explanation:

Part 1) Find the value of f(-3)

we have

f(x)=-6x+3

we know that

f(-3) is the value of the function f(x) for x=-3

so

substitute the value of x=-3 in the function to find f(-3)

f(-3)=-6(-3)+3

f(-3)=18+3

f(-3)=21

Part 2) Find the value of g(3)

we have

g(x)=3x+21r

we know that

g(3) is the value of the function g(x) for x=3

so

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g(3)=3(3)+21r

g(3)=9+21r

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Xelga [282]
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What is the slope of a line perpendicular to the line whose equation is 6x+8y=−128. Fully simplify your answer.
alexgriva [62]

The slope of a line perpendicular to the line 6x + 8y = -128 is 4/3.

Given,

The equation of a line = 6x + 8y = -128

We have to convert this into standard form of linear equation, y = mx + b :

So,

6x + 8y = -128

Add -6x to both sides,

6x + 8y - 6x = -6x - 128

Now,

8y = -6x - 128

Divide 8 on both sides

8y/8 = (-6x - 128) / 8

We get,

y = -6/8x - 16

Here, this is in standard form of linear equation.

Here slope of line, m₁ = -6/8

We have to find the slope of line(m₂) which is perpendicular to the given line.

If the line is perpendicular, the slope(m₂) will be the negative reciprocal of the slope(m₁) of the given line.

That is,

Slope of line, (m₂)= -(m₁) =  - (-8/6) = 8/6 = 4/3

That is, the slope of the line which is perpendicular to the given line is 4/3.

Learn more about slope of the line here:

brainly.com/question/16616984

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2 years ago
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Answer:

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