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2 years ago

In the equation above,a,b, and c are constants. If the equation is true for all values of x, what is the value of b?

Mathematics

2 answers:

DIA [1.3K]2 years ago

6 0

Hope this answer helps.

oksano4ka [1.4K]2 years ago

4 0

Answer:

b=19

Step-by-step explanation:

We are given that an equation

$2x(3x+5)+3(3x+5)=ax^2+bx+c$

Given that the equation is true for all x

We have to find the value of b

$2x(3x+5)+3(3x+5)=ax^2+bx+c$

$6x^2+10x+9x+15=ax^2+bx+c$

$6x^2+19x+15=ax^2+bx+c$

Comparing coefficients of $x^2$ xand constant value on both side then we get

$a=6,b=19,c=15$

Hence, the value of b=19

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Neporo4naja [7]

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2 years ago

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Irina-Kira [14]

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2 years ago

Which subset of the real numbers contains the square root of 50

DENIUS [597]

The first thing you should do in this case is to know that you can rewrite the expression.
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3 years ago

Evaluate f(x) = -2x square Root -4 for x=3

lesya [120]

Answer:

Step-by-step explanation:

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3 years ago

Triangle AOC intersects a circle with center O. side AO is 10 inches and the diameter of the circle is 12 inches. What is the le

zvonat [6]

Answer:

$AC=8inches$

Step-by-step explanation:

It is given that triangle AOC intersects a circle with center O, side AO is 10 inches and the diameter of the circle is 12 inches, thus

OC is the radius of the circle and is equal to $\frac{D}{2}=\frac{12}{2}=6 inches$ .

Now, From ΔAOC, using the Pythagoras theorem, we get

$(OA)^{2}=(OC)^{2}+(AC)^{2}$

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⇒ $100=36+(AC)^2$

⇒ $64=(AC)^2$

⇒ $AC=8inches$

4 0

2 years ago