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Tasya [4]
4 years ago
15

(9x - 4x2 + 9) + (-x3 + 4x2 - 3)

Mathematics
2 answers:
Schach [20]4 years ago
8 0

Answer:

- x^{3\\} + 9x + 6

Step-by-step explanation:

First, you need to combine like terms. Like terms, when dealing with exponents can be categorized by their powers.

hIn this case, 9x stands alone, because there is no other coefficient with the power of just x.

9x

Next, we can look at the -4x^2. The other similar coefficient is + 4x^2. We can combine both of those, which will equal out to 0.

Next, you have 9. It can be combined with -3, since none of them have an exponent attached. It will equal 6

9x + 6

We also have a -x^3 left over. There is no like term to combine with it, so we can leave it as is.

Our problem now looks like

9x + 6 - x^{3}

You can rearrange them in the proper order, so it will look like,

- x^{3} + 9x + 6.

And there you have it!

____ [38]4 years ago
5 0

Answer:

The solution to the given expression is -x³ + 9x + 6

Step-by-step explanation:

(9x - 4x² + 9) + (-x³ + 4x² - 3)

Since there is a positive sign in front of the second parentheses, then the terms inside will stay the same.

9x - 4x² + 9 - x³ + 4x² - 3

Group terms together that are alike. Also known as like terms.

-x³ + (-4x² + 4x²) + 9x + (9 - 3)'

Combine like terms.

-x³ + 9x + 6

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Difference between a number and its positive square root is 12 Find the number.
SVETLANKA909090 [29]

Answer:

156

Step-by-step explanation:

x - √+ = 12

= 12^2= 144

x = 144

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Estimate the perimeter and area of the figure to the nearest whole number. Please help!!
solniwko [45]

Answer:

29 ; 37

Step-by-step explanation:

The figure is composed by a square, a rectangle, and a right triangle

The perimeter of the square is 6 units

The perimeter of the rectangle is 10 units

The triangle is composed by a side of 6 units and a side of 5 units

The third side can be find with the Pythagorean theorem

\sqrt{6^2 + 5^2} = \sqrt{36 + 25} = \sqrt{61} = 7,81025

The total perimeter is

6 + 10 + 5 + 7,81025 = 28,81025 = 29

Area of the square = 2^2 = 4 square units

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8 0
3 years ago
Read 2 more answers
Consider the graph of the expotential function y= 3(2)^x
victus00 [196]

Answer:

<h2>y-intercept = 3</h2><h2>x-intercept - not exist</h2><h2>the graph is increasing</h2>

Step-by-step explanation:

The exponential function:

f(x)=b(a)^x

has y-intercept for x = 0

hasn't x-intercept

if a > 1, then is increasing

if 0 < a < 1, then is decreasing

We have

y=3(2)^x

a = 2 >1 - increasing

for x = 0:

y=3(2)^0=3(1)=3

8 0
4 years ago
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