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Paraphin [41]
3 years ago
5

Simplify the following expression.

Mathematics
1 answer:
expeople1 [14]3 years ago
3 0

Answer: 3x^{2}-24x


Step-by-step explanation:

 1. To simplify the expression given in the problem, you must apply a property of exponents called Quotient of powers, which states that when you divide two powers that have the same base, you must subtract the exponents.

2. Keeping this property on mind you have, you can rewrite the expression as following and simplify:

 \frac{-12x^{4}}{-4x}+\frac{96x^{2}}{-4x}=3x^{2}-24x



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The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m
vagabundo [1.1K]

<u>Answer-</u>

The equation that describes the pattern is,

\boxed{\boxed{y=2{x}+30}}

<u>Solution-</u>

P = Number of minutes Rodney spends practicing playing the piano

G = Number of minutes Rodney spends practicing playing the guitar

Taking P on x axis and G on y axis, the points are,

(0,30),(15,60),(30,90),(45,120)

Taking first two points i.e (0,30),(15,60), the line equation will be,

\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}

\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}

\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}

\Rightarrow 15(y-30)=30{x}

\Rightarrow y-30=2{x}

\Rightarrow y=2{x}+30

Putting the other two points i.e (30,90),(45,120) in the equation, they also satisfy the equation. That means they are also on the same line y=2{x}+30.

From the result, it is evident that P and G are linearly related.

3 0
4 years ago
A line and two points are guaranteed to be coplanar if
kicyunya [14]
The points lie on the line, I believe, since they're part of it. 
5 0
3 years ago
Translate this sentence into an equation.
Aliun [14]
14+m=56
m=56-14(minus 56 from both side)
M=42
5 0
3 years ago
I saved the best for last :]
harkovskaia [24]

Answer:

a¹⁸b²⁴c⁵⁴

Step-by-step explanation:

(aᵇ)ᶜ = aᵇᶜ = aᵇ×ᶜ

(-aⁿ)ᵒᵈᵈ = -aⁿ

(-aⁿ)ᵉᵛᵉⁿ = aⁿ

aⁿ × aⁿ = aⁿ⁺ⁿ

_________

In this situation, 6 is an even exponent which means that the negative coefficient of this 9th degree monomial will be positive. Now the only step is to multiply the exponents by the exponent outside of the perenthesis which is 6.

so (-a³b⁴c⁹)⁶ = ((-a³)⁶(b⁴)⁶(c⁹)⁶) = ((a³ˣ⁶)(b⁴ˣ⁶)(c⁹ˣ⁶)) = ((a¹⁸)(b²⁴)(c⁵⁴)) = <em>a¹⁸b²⁴c⁵⁴</em>

4 0
3 years ago
NASA launches a rocket at
Lapatulllka [165]

Answer:

the  height is :  2365.48  m

Step-by-step explanation:

hello :

h(t) = − 4.9 t 2 + 211 t + 94 .

the vertex of this parabola is : (-b/2a  , h(-b/2a) when : a= -4.9  and b=211

-b/2a = -(211)/2(-4.9) = 21.53

h(21.53) = -4.9(21.53)²+211(21.53)+94 = 2365.48  m

4 0
3 years ago
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