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PolarNik [594]
3 years ago
7

5(-12x+3)+6(10x+7)=9-x+3x+10​

Mathematics
1 answer:
tia_tia [17]3 years ago
8 0

Answer: x = 19

Step-by-step explanation:

5(-12x+3) + 6(10x + 7) = 9 - x + 3x + 10     Distribute on the left side

-60x + 15 + 60x + 42 = 9 + 2x + 10   combine like terms on the left side

   57 = 9 + 2x + 10        Now combine like terms on the right side

57 = 2x + 19        Subtract 19 from both sides

-19           -19

 38 = 2x       Divide both sides by 2

x = 19

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Find the values of a and b that make f continuous everywhere. f(x) = x^2 − 4 / x − 2 if x < 2 ax^2 − bx + 3 if 2 ≤ x < 3 4
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What is the volume of the entire figure?<br><br> ____cm3
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Solve for x and y.<br><br> 4x-3y=16<br> -2x+4y=-2<br><br> DUE 2/7/17!
Trava [24]
\left \{ {{4x-3y=16\:(I)} \atop {-2x+4y=-2\:(II)}} \right.

<span>Multiply the 2nd equation by (-4). This will eliminate the x's when you add the two new equations together.
</span>\left \{ {{4x-3y=16\:\:\:\:\:\:\:\:\:\:} \atop {-2x+4y=-2\:*(-4)}} \right.
\left \{ {{\diagup\!\!\!\!4x-3y=16} \atop {-\diagup\!\!\!\!4x+8y=-4}} \right.
--------------------
5y = 12
\boxed{\boxed{y =  \frac{12}{5}}}\end{array}}\qquad\quad\checkmark

Let's replace the value found in the first equation:
4x-3y=16\:(I)
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least common multiple (5)
\frac{20x}{\diagup\!\!\!\!5} - \frac{36}{\diagup\!\!\!\!5} = \frac{80}{\diagup\!\!\!\!5}
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x = \frac{116}{20} \frac{\div4}{\div4} \to\: \boxed{\boxed{x = \frac{29}{5} }}\end{array}}\qquad\quad\checkmark



4 0
3 years ago
HELP ASAP:
tekilochka [14]

Answer:

Here's how I would do it.  

Step-by-step explanation:

If two triangles are similar, corresponding sides are in the same ratio.

We know the measures of b and a, so we can calculate the ratio b/a.

d and b are in the same ratio, so

\begin{array}{rcl}\dfrac{d}{c}& = & \dfrac{b}{a}\\d & = & c \times \dfrac{b}{a}\\\end{array}

We know the measures of c, b, and a, so we can calculate the value of d.

5 0
3 years ago
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