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3 years ago

If f(x) =x-1 and g(x)=5x-2, then (f+g)(x)=

Mathematics

1 answer:

Dvinal [7]3 years ago

8 0

Answer:

5x²-7x+2

step by step explanation:

(f•g)(x) = f(x)•g(x)

(x-1)•(5x-2)

x×5x-2x-5x-1×(-2)

5x²-2x-5x+2

=5x²-7x+2

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4 SPARSE BAYESIAN LEARNING

Scorpion4ik [409]

Answer:

Answer:

WF=34

Step-by-step explanation:

Point I lies between points W and F.

It means point WI + IF = WF

SO WI + IF = WF

WF = 15x – 21

WI= 7x-3

IF= 2x+4

WI + IF = WF

7x-3 +2x+4= 15X-21

7x+2x-15x= -21-4+3

-6x = -22

X= -22/6

X= 11/3

So WF = 15x – 21

WI= 7x-3

IF= 2x+4

WI + IF = WF

7X-3 +2x+4= 15x-21

7x+2x-15x= -21-4+3

-6x = -22

X= -22/6

X= 11/3

So WF = 15x – 21

WF= 15(11/3) -21

WF= 55-21

WF=34

7 0

2 years ago

A triangle has side lengths of (2.4b+3.1)(2.4b+3.1) centimeters, (5.9b-9.7)(5.9b−9.7) centimeters, and (5.9c-5.3)(5.9c−5.3) cent

Masja [62]

101010100110011010101010101

7 0

2 years ago

The 3 × 3 matrix P satisfies the matrix equation P^2 = P.

riadik2000 [5.3K]

Answer: The answers are given below.

Step-by-step explanation: Given that a 3 × 3 matrix P satisfies the matrix equation P² = P.

We are to

(a) find the possibilities for the determinant of P.

(b) explain the reason behind there are no other possibilities.

(c) give an example of P, for each possible determinant.

(a) According to the given information, we have

$P^2=P\\\\\Rightarrow P^2-P=0\\\\\Rightarrow P(P-I)=0\\\\\Rightarrow P=0,~~~P=I.$

So, P can be either a zero matrix of order 3 or an identity matrix of order 3.

If P = 0, then det(P) = 0 and if P = I, then det(P) = 1.

Therefore the possible determinants of P are 0 and 1.

(b) There can be any other determinant other than 0 and 1, because if so, then the given equation P² = P will not be satisfied.

(c) If |P| = 0, then the matrix P can be can be of the form as follows:

$P=\left[\begin{array}{ccc}0&0&0\\0&0&0\\0&0&0\end{array}\right] .$

If |P| = 1, the the matrix P can be of the form as follows :

$P=\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] .$

Thus, all the parts are answered.

4 0

3 years ago

Solve for x: 3x − 2 > 5x + 10. (5 points)<br> 1) x > 6<br><br> 2) x −6

san4es73 [151]

Answer:

$x$

Step-by-step explanation:

$3x-2>5x+10$

Add 2 to both sides

$3x-2+2>5x+10+2$

Simplify

$3x>5x+12$

Subtract $5x$ from both sides

$3x-5x>5x+12-5x$

Simplify

$-2x>12$

Multiply both sides by $-1$ (reverse the inequality)

$(-2x)(-1)$

Simplify

$2x$

Divide both sides by $2$

$\frac{2x}{2}$

Divide the numbers: $\frac{2}{2} =1$

$=x$

Divide the numbers: $\frac{-12}{2}$

Apply fraction rule: $\frac{-a}{b} =-\frac{a}{b}$

$=\frac{12}{2}$

Divide the numbers: $\frac{12}{2} =6$

$=-6$

$x$

7 0

2 years ago

Read 2 more answers

Take a square sheet of paper 20 cm by 20 cm, cut identical squares from each corner, and fold up the flaps to make a box (withou

iris [78.8K]

The maximum possible volume of this type of box that can be made from a 20 cm by 20 cm square of paper is 512cm³.

<h3>How to calculate the volume?</h3>

From the information, when the side of 1cm are cut, this will become an open box. The volume will be:

= 18 × 18 × 1

= 324cm³

Also, when 2cm is cut, the volume will be:

= 16 × 16 × 2

= 512cm³

Learn more about volume on:

brainly.com/question/1972490

#SPJ1

3 0

2 years ago