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3 years ago

HELP PLZ!!!! WILL MAKE BRAINLIEST

Mathematics

1 answer:

nadya68 [22]3 years ago

6 0

Answer:

0.05 decimal

1/20 fraction

Step-by-step explanation:

-1/2x-3=-9-1/5x

Add 1/2 to -1/5 and add 9 to -3

6=3/10

Put 3/10 to decimal

6=0.3

.3/6

0.05

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Choose the correct simplification of the expression (2x - 6)(3x2 - 3x - 6). (4 points) Select one: a. 6x3 - 24x2 + 6x + 36 b. 6x

attashe74 [19]

Answer:

a. 6x^3 - 24x^2 + 6x + 36

Step-by-step explanation:

These are expanded using the distributive property, which is also used for collecting terms.

(2x - 6)(3x2 - 3x - 6) = 2x(3x^2 - 3x - 6) - 6(3x^2 - 3x - 6)

= 6x^3 -6x^2 -12x -18x^2 +18x +36

= 6x^3 +(-6-18)x^2 +(-12 +18)x +36

= 6x^3 -24x^2 +6x +36 . . . . . . matches selection A

_____

<em>Comment on strategy</em>

For multiple-choice questions, it often works well to find a way to identify a viable answer with the minimum amount of work. Comparing these answer choices, you can see that determining the correct values of the x-term and the constant term will let you pick the right choice.

The constant term is easy, because it is simply the product of the constants (-6)(-6) = 36. This narrows the choices to A and C.

The x-term will be the sum of products of x-terms and constants:

2x(-6) +(-6)(-3x) = -6(2x-3x) = -6(-x) = 6x

This narrows the choices to A alone.

5 0

4 years ago

Associative Property of Addition to enter an equivalent expression. 5 + (a + b)

Lynna [10]

Step-by-step explanation:

=a+b+5 this is the answer

7 0

3 years ago

16. From past experience, a company has found that in cartons of transistors, 92% contain no defective transistors, 3% contain o

Lynna [10]

Answer:

E(x)=0.15

V(x)=0.3075

S(x)=0.5545

Step-by-step explanation:

The mean of a discrete variable is calculated as:

$E(x)=x_1*p(x_1)+x_2*p(x_2)+...+x_n*p(n)$

where $x_1,x_2,...,x_n$ are the values that the variable can take and $p(x_1),p(x_2),...,p(x_n)$ are their respective probabilities.

So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

$E(x)=(0*0.92)+(1*0.03)+(2*0.03)+(3*0.02)=0.15$

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.

At the same way, the variance V(x) is calculated as:

$V(x)=E(x^2)-(E(x))^2$

Where $E(x^2)=x_1^2*p(x_1)+x_2^2*p(x_2)+...+x_n^2*p(n)$

So, the variance V(x) is equal to:

$E(x^2)=(0^2*0.92)+(1^2*0.03)+(2^2*0.03)+(3^2*0.02)=0.33\\V(x)=0.33-(0.15)^2\\V(x)=0.3075$

Finally, the standard deviation is calculated as:

$S(x)=\sqrt{V(x)} \\S(x)=\sqrt{0.3075} \\S(x)=0.5545$

8 0

3 years ago

Read 2 more answers

Steps for x squared plus y squared minus 8x + 12 y + 27 equals 0

Sphinxa [80]

X²+y²-8x+12y+27=0
x²+y²-8x+12y=-27
x²-8x +y²+12y = -27
x²-8x+16 + y+12y+36 = -27+16+36=25
(x-4)² + (y+6)² = 25

a circle centered at (4,-6) with a radius of 5

6 0

3 years ago

In the given figure, O is centre of the circle. Find the value of x and y?

jok3333 [9.3K]

Answer:

x=30 cm

y=24 cm

Step-by-step explanation:

y=24 cm

x=√(24²+18²)=√[6²(4²+3²)]=6√(16+9)=6√25=6×5=30 cm

4 0

2 years ago

Read 2 more answers

HELP PLZ!!!! WILL MAKE BRAINLIEST​

HELP PLZ!!!! WILL MAKE BRAINLIEST