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Romashka [77]
4 years ago
8

What are the factors of the quadratic equation? 6=x2 +5x

Mathematics
2 answers:
lutik1710 [3]4 years ago
8 0
Explain the question please
disa [49]4 years ago
4 0
X2 + 5x - 6 =0
(x +6)(x-1)=0

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Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among
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Answer:

Step-by-step explanation:

Each child received two pieces.

So total   pieces received by 4 children = 4*2 = 8

Total pieces = 10 + 8 = 18

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3 years ago
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(x² + 6x − 16)(x − 2) = ax³ + bx² + cx + d
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B is the right answer to this question
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3 years ago
leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. the triangular base has a
Georgia [21]
The answer is x =  \frac{-7+ \sqrt{193} }{4}.

There is very similar question on Brainly, in which dimensions of the living room are given (20 feet, 30 feet).
So, knowing this, we first need to calculate how much 6% of the living room is.
The area of the living room is 600 square feet, since it is rectangle-shaped:
P = a * b = 200 feet * 30 feet = 600 square feet.

6% of 600 square feet is 36 square feet:
600 square feet : 100% = A : 6%
A = 600 * 6 / 100 = 36 square feet

The area of the triangular-based cabinet (A) is A = \frac{a*h}{2}, where a is the base, and h is the height of the triangle.
It is given:
A = 36
a = 2x + 3
h = 3x + 6

Now, let's implement this to the formula A =  \frac{a*h}{2}:
36 =  \frac{(2x+3)(3x+6)}{2}
⇒ 36*2=6 x^{2} +12x+9x+18
72=6 x^{2} +21x+18

Let's both sides divide by 3:
24=2 x^{2} +7x+6
⇒ 2 x^{2} +7x-18=0

This is the quadratic formula (a x^{2} +bx+c=0) for which
x =  \frac{-b+\sqrt{b^{2} -4ac} }{2a} or
<span>x = \frac{-b-\sqrt{b^{2} -4ac} }{2a}.
</span>We will use only <span>x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}, because the length cannot have negative value.</span>


<span>From the equation 2 x^{2} +7x-18=0, we know that
</span>a = 2
b = 7
c = -18

Thus, <span> x = \frac{-7+ \sqrt{193} }{4}:
</span>x= \frac{-b+ \sqrt{ b^{2} -4ac} }{2a} = \frac{-7+ \sqrt{ (7)^{2} -4*2*(-18)} }{2*2} = \frac{-7+ \sqrt{49+144} }{4} = \frac{-7+ \sqrt{193} }{4}

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3 years ago
Use the figure below to answer questions 3 and 4.
Kobotan [32]

Answer:

?

Step-by-step explanation:

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Graph 3x-y-2=0 using the x- and y-intercepts
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Step-by-step explanation:

I used an app called DESMOS It Is usually super helpful!!!

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