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defon
3 years ago
13

Expand and simplify x(x + 1)(x + 2)

Mathematics
1 answer:
zimovet [89]3 years ago
6 0

Answer:

x^3 + 3x^2 + 2x

Step-by-step explanation:

x(x^2 + x + 2x + 2)

x ( x^2 + 3x + 2)

x^3 + 3x^2 + 2x

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87.5% of what number is 49?
kozerog [31]
Answer=56

87.5%*y=49
.875y=49
____   ___
.875    .875
divide both sides by .875
y=56


7 0
3 years ago
If 3x^2 + y^2 = 7 then evaluate d^2y/dx^2 when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -,
S_A_V [24]
Taking y=y(x) and differentiating both sides with respect to x yields

\dfrac{\mathrm d}{\mathrm dx}\bigg[3x^2+y^2\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[7\bigg]\implies 6x+2y\dfrac{\mathrm dy}{\mathrm dx}=0

Solving for the first derivative, we have

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y

Differentiating again gives

\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0

Solving for the second derivative, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}

Now, when x=1 and y=2, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}\bigg|_{x=1,y=2}=-\dfrac{3\cdot2^2+9\cdot1^2}{2^3}=\dfrac{21}8\approx2.63
3 0
3 years ago
Robert sketches two rectangular prisms, A and B. Prism A's side lengths are 5 centimeters, 6 centimeters, and 7 centimeters. Pri
erik [133]

Answer:

90

Step-by-step explanation:

10+67

7586+65

576845=8757685

2+88=90

4 0
3 years ago
What is the distance between (-3, 4) and (-3, 10)?
xxTIMURxx [149]

Answer:

6 is the the distance between the points

5 0
3 years ago
What is the value of b?<br><br> ​ 0.4(3b+10)=19 ​
svet-max [94.6K]

Hello!!


Isolate the variable by dividing each side by factors that don't contain the variable.


Your answer is 12.5.


Hope that you pass your test!!


7 0
2 years ago
Read 2 more answers
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