All categories

3 years ago

Is 1 +4(3x-10)-12x equivalent to -9

Mathematics

1 answer:

STALIN [3.7K]3 years ago

6 0

Answer:

This expression is not equivalent to -9.

Step-by-step explanation:

Given the expression

$1+4(3x-10)-12x$

Use distributive property to eliminate the brackets:

$1+4\cdot 3x-4\cdot 10-12x\\ \\=1+12x-40-12x$

Use commutative property to rearrange the terms:

$1+12x-40-12x\\ \\=(12x-12x)+(1-40)\\ \\=0+(-39)\\ \\=-39$

Hence, this expression is not equivalent to -9.

You might be interested in

Find k so that the following function is continuous on any interval: . . f(x)=kx if 0<=x<3 and f(x)=8x^2 if 3<=x. . K=?

Tasya [4]

In finding the value of this inequality first is to substitute the X to the F(x) so that it would be rearrange to get the value of k. So if 3<=x, K is directly proportional to X so it means that K >=3

8 0

3 years ago

A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with t

zaharov [31]

Answer:

a. 0.2

b. 0.42

c. 0.7

d. the solution is in the explanation

e. x and y are not independent

Step-by-step explanation:

a. from the joint probability mass function table,

p(x=1) and p(Y= 1)

= p(1,1) = 0.2

b. prob(0,0)+prob(0,1)+prob(1,0)+prob(1,1)

= 0.10 + 0.04 + 0.08 + 0.20

= 0.42

P(X ≤ 1 and Y ≤ 1) = 0.42

c. prob {X ≠ 0 and Y ≠ 0}

= prob(1,1) + prob(1,2) + prob(2,1) + prob(2,2)

= 0.20 + 0.06 + 0.14 + 0.30

= 0.7

d. we have to calculate the marginal pmf of x and y here.

we have the x values as 0,1,2

prob(x=0) = 0.1 + 0.04 + 0.02

= 0.16

prob(x=1) = 0.08 + 0.2 + 0.06

= 0.34

prob(x=2) = 0.06+0.14+0.3

= 0.50

we have y values as 0,1,2

prob(y=0) = .1+.08+.06

= 0.24

prob(y=1) = .04+.2+.14

= 0.38

prob(y = 2) = 0.02+0.06+0.3

= 0.38

P(X ≤ 1) = prob(x=0)+prob(x=1)

= 0.34+0.16

= 0.50

e. from the joint table we have this,

prob(1,1) = 0.2

prob(x=1) = 0.34

prob(y=1) = 0.38

then prob(x=1)*prob(y=1)

= 0.34*0.38

= 0.1292

therefore prob(1,1) is not equal to prob(x=1)*prob(y=1)

0.2≠0.1292

x and y are not independent

7 0

3 years ago

Help solve with steps -6(4-x)<-4(x+1) --

ASHA 777 [7]

Answer:

$\[x$

Step-by-step explanation:

Given inequality is $\[-6(4-x)$

Simplifying the inequality by rearranging the terms:

$\[-24+6x$

=> $\[10x$

=> $\[x$

So the given inequality can be simply expressed as $\[x$

Hence x can take all values in the domain which are less than 2.

6 0

3 years ago

Find the value of c that makes the expression a perfect square trinomial. x2 + 4x + c

masha68 [24]

the value of c that makes the expression a perfect square binomial is c=4 .

Step-by-step explanation:

Here we have , an expression x2 + 4x + c or , $x^2 + 4x + c$ . We need to find the value of c that makes the expression a perfect square binomial. Let's find out: