All categories

2 years ago

Which of the following statements is true?

Mathematics

1 answer:

sdas [7]2 years ago

7 0

Answer:

Option The product of $(-x+4)(x^2+3x-3)$ is

$-x^3+x^2+15x-12$ is correct.

That is $(-x+4)(x^2+3x-3)=-x^3+x^2+15x-12$

Step-by-step explanation:

Given expression is $(-x+4)(x^2+3x-3)$

To find the product of the given expression :

$(-x+4)(x^2+3x-3)$

( By using the distributive property each term in the factor is multiplied by each term in the another factor )

$=[-x(x^2)+(-x)(3x)+(-x)(-3)]+[4(x^2)+4(3x)+4(-3)]$

$=-x^3-3x^2+3x+4x^2+12x-12$ ( adding the like terms )

$=-x^3+x^2+15x-12$

Therefore $(-x+4)(x^2+3x-3)=-x^3+x^2+15x-12$

Therefore Option The product of

$(-x+4)(x^2+3x-3)$ is $-x^3+x^2+15x-12$ is correct.

That is $(-x+4)(x^2+3x-3)=-x^3+x^2+15x-12$

You might be interested in

1/3·(−3x+4y−5z) help plz

Maksim231197 [3]

Answer:

To solve this we need to form 2 equations with only 2 variables.

x+4y-5z=-7

2x+y+5z=8

3x+5y=1

15x+10y+15z=35

6x+3y+15z=24

9x+7y=11

Now we need to use these to find x and y

9x+15y=3

9x+7y=11

8y=-8

y=-1

Therefore:

x=2

From this we can find that:

2(2)-1+5z=8

Therefore z=1

The answer is x=2, y=-1, z=1

7 0

2 years ago

Read 2 more answers

Write the order of operations down using your own words

dybincka [34]

The order of operations is:

Parentheses, Exponent, Division, Multiplication, Addition, Subtraction.

Or PEMDAS.

hope it helps!

6 0

2 years ago

Pls help i will mark brainliest!:) thank you!;D

pashok25 [27]

<h2>ANSWER</h2>

Here the two points given on the graph A and B

To find : The distance in between the two points we know distance in between two point on a graph 

= 

 $\sqrt{ {(x2 - x1)}^{2} } + \sqrt{ {(y2 - y1)}^{2} }$ 

The Point A = (0,0)

The point B = (3,6)

so the distance in between points A and B 

 $\sqrt{ {(0 - 0)}^{2} } + \sqrt{ {(6 - 3)}^{2} }$ 

 $\sqrt{ {3}^{2} }$ 

 $3$ 

So 3.0 is the distance

Hope it helps

7 0

2 years ago

20 POINTS WILL MARK AS BRAINLIEST AND SAY THANKS In 2000, the cost of many items increased because the increase in the cost of g

antoniya [11.8K]

Let the cost of gasoline in the year 2000 be represented b the equation
y = a + b*x
where
x = months, counted from January
y = cost, dollars

The given data in the table is
Month: Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
x, months: 1 2 3 4 5 6 7 8 9 10 11 12
y, dollars: --- --- --- --- 1.76 2.13 --- --- --- --- --- ---

When x = 5, y = 1.76.
Therefore
a + 5b = 1.76 (1)

When x = 6, y = 2.13
Therefore
a + 6b = 2.13 (2)

Subtract equation (1) from (2).
a + 6b - (a + 5b) = 2.13 - 1.76
b = 0.37

From (1), obtain
a = 1.76 - 5b
= 1.76 - 5*0.37
= -0.09

The required equation is
y = 0.37x - 0.09
The graph shows the line, with the given data for May and June.

Answer: D. y = 0.37x - 0.09

7 0

3 years ago

pretende-se guardar um cano de 42cm de comprimento em uma caixa de ferramentas retangular, cuja as medidas são 36cm de comprimen

galina1969 [7]

Answer:

Step-by-step explanation:

Não porque a caixa seria muito menor que o cano.

3 0

2 years ago