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andreyandreev [35.5K]
3 years ago
14

Factor completely 4x^3 + 8x^2 − 25x − 50.

Mathematics
2 answers:
n200080 [17]3 years ago
8 0
<span>First factor like terms
4x³ + 8x² - 25x - 50
4x²(x + 2) - 25(x + 2)

See that the factor in parenthesis is the same? Because they are the same, you can pair the outside factors together in a parenthesis. 

(4x² - 25)(x+2)

factor (4x² - 25) = (2x + 5)(2x - 5)

= (2x - 5)(2x + 5)(x + 2)
</span>
matrenka [14]3 years ago
3 0
Hello there!

\boxed{ (((4 * (x^3)) +  23x^2) -  25x) -  50} \\ \\ \boxed{ ((2^2x^3 +  23x^2) -  25x) -  50} \\ \\ 4x3+8x2-25x-50   \ (is \ not \ a \ perfect \ cube.) \\ \\ We \ then \ factor \ \boxed{\boxed{ (2x + 5)  *  (2x - 5) }} \\ \\ (FINAL \ RESULT) \\ \\   \left[\begin{array}{ccc}\boxed{(2x - 5)(2x + 5)(x + 2)}\end{array}\right]

Your correct answer would be (option c).

I hope this helps you!
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What is the approximate distance between point A and B? A(1,4),B(-2,-3)
nata0808 [166]

Answer:

√58 or 7.61 units

Step-by-step explanation:

Given points are:

A(1,4)

B(-2,-3)

The distance formula is used to find distance between two points.

The distance formula is:

d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\Putting\ the\ values\\d=\sqrt{(-2-1)^{2}+(-3-4)^{2}}\\=\sqrt{(-3)^{2}+(-7)^{2}}\\=\sqrt{9+49}\\=\sqrt{58}\\

So the approximate distance is √58 or 7.61 units ..

4 0
3 years ago
A solid metal sphere with diameter 6cm needs to be covered with a protective
lidiya [134]

Answer:

It will cost: £28.28

Step-by-step explanation:

Area of sphere = 4 x π x r2

Area of Circle = 4 x π x 3^2 = 113.097 (radius is half of diameter)

113.097 / 0.25 = 28.28

8 0
3 years ago
Work out the length of the perimeter.
PilotLPTM [1.2K]
Try this option:
According to property such triangle
1. area=0.5*a*b, where a and b - the sides of angle 90°.
Using this equation: 180=0.5*40*b, ⇒ b=9.
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3 0
3 years ago
Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex
Kryger [21]

Answer:

x^3-8

Step-by-step explanation:

apply the inverse properties of logarithmic and exponential functions to simplify  

- 8 + e^{lnx^3}

Inverse property of log says that

e^{ln(x)=x

we apply this property in our problem. ln has same base 'e' . so ln and e gets cancelled

e^{ln(x^3)=x^3

- 8 + e^{lnx^3}

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4 0
3 years ago
If the graph of the equation y=(x+2)^2 is reflected with respect to the y-axis, what is the equation of the resulting graph?
alexandr1967 [171]

Answer:

Is important to remember that the reflection of the point (a,b) across  the y-axis is the point (-a,b).

Our original equation is y= (x+2)^2

And after the reflection respect x we got:

y= (-x+2)^2

Step-by-step explanation:

Is important to remember that the reflection of the point (a,b) across  the y-axis is the point (-a,b).

Our original equation is y= (x+2)^2

And after the reflection respect x we got:

y= (-x+2)^2

7 0
3 years ago
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