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Montano1993 [528]
3 years ago
11

Find (f+g)(x) when f(x)=x^3-2x^2+1 and g(x)=4x^3-5x+7

Mathematics
1 answer:
Oliga [24]3 years ago
8 0

Answer:

5x³ - 2x² - 5x + 8

Step-by-step explanation:

[ Refer to the attachment ]

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△DEF is shown below.<br><br>Triangle DEF<br><br>What is m∠DEF?​
S_A_V [24]

Answer:

m∠DEF = 50

Step-by-step explanation:

∠DEG = ∠GEF

3y + 4 = 5y - 10

subtract 4 from both sides

3y = 5y - 14

subtract 5y from both sides

-2y = -14

divide by -2

y = 7

Add 7 into the equations:

3y + 4 + 5y - 10

3(7) + 4 + 5(7) - 10

21 + 4 + 35 - 10

25 + 25

50

4 0
3 years ago
Difference in the following polynomials (6x^3 - 2x^2 + 4)<br> -(2x^3 + 4x^2 - 5)
Colt1911 [192]

\bold{[ \ Answer \ ]}

\boxed{\bold{4x^3-6x^2+9}}

\bold{[ \ Explanation \ ]}

  • \bold{Find \ Difference: \ \left(6x^3\:-\:2x^2\:+\:4\right)-\left(2x^3\:+\:4x^2\:-\:5\right)}

\bold{-----------------------}

  • \bold{Remove \ Parenthesis}

\bold{6x^3-2x^2+4-\left(2x^3+4x^2-5\right)}

  • \bold{Remove \ Parenthesis \ / \ Simplify}

\bold{-\left(2x^3+4x^2-5\right): \ -2x^3-4x^2+5}

  • \bold{Rewrite}

\bold{6x^3-2x^2+4-2x^3-4x^2+5}

  • \bold{[Simplify \ 6x^3-2x^2+4-2x^3-4x^2+5] \ 4x^3-6x^2+9}

\bold{4x^3-6x^2+9}

\boxed{\bold{[] \ Eclipsed \ []}}

6 0
3 years ago
A and B are two cities.
Yuri [45]
<h2><u>Answer: </u></h2>

The bearing of B from A is 28 degrees, approximately

The bearing of A from B is 180+28=208 degrees, approximately.

Step-by-step explanation:

The bearing of B from A is 28 degrees, approximately

The bearing of A from B is 180+28=208 degrees, approximately.

The reason for approximation is from distortion of image.

See attached image to understand ohw the measurement has been obtained.

5 0
2 years ago
15
Evgesh-ka [11]

Answer:

Height = 14.4

Step-by-step explanation:

The diagonals meet at right angles. Interesting property.

The hypotenuse is the side of the rhombus = 15 cm

One of the sides of the small triangles created by the intersection of the diagonals = 24/2 = 12

You can find the other side of the the triangle by using the Pythagorean Theorem

a^2 + b^2 = c^2

c = 15

a = 12

b = ?

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225 - 144

b^2 = 81

b = 9

The area of this right angle = 9 * 12/2 = 54

There are 4 of them so 4 * 54 = 216

That's the area of the rhombus.

The h= Area / b

b = 15

h = 216/15

h = 14.4

8 0
2 years ago
HELP!!!!!!!!!!!!!!!!
lesya [120]
2x^{2} is a monomial (since it is all connected by multiplication) and since it is in the degree of 2, that makes it a quadratic. 

-2 is a constant (since it doesn't have variables) and it is a monomial (since it is all connected by multiplication)

3x-9 is a binomial (since it has two terms, not connected by multiplication) and since it has x in the power of 1, that makes it a linear equation.

Finally, -3x^{2} -6x + 9 is a trinomial (since it has 3 terms connected by either addition or subtraction) and since the degree of the polynomial is 2, that makes it a quadratic. 
8 0
3 years ago
Read 2 more answers
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