All categories

2 years ago

Rewrite in simplest terms: 4(-5u+3)-4(8u-1)4(−5u+3)−4(8u−1)

Mathematics

1 answer:

babymother [125]2 years ago

3 0

Answer:

640u

2

−492u+55

Step-by-step explanation:

notsure

You might be interested in

A town had about 2120 acres of pine trees 40 years ago only about 13% of the Pine trees remain how many acres of pine trees rema

Vika [28.1K]

2120*(13/100)
2120*.13= 275.6 acres

7 0

3 years ago

Read 2 more answers

The radius of a cylindrical construction pipe is 3.5 ft. If the pipe is 37 ft long, what is its volume?

Crazy boy [7]

Answer:

10651.7 gallons

Step-by-step explanation:

5 0

3 years ago

Solve the equation x= [2/5] to the 3 power

steposvetlana [31]

0.016

Is this the right answer?

4 0

3 years ago

Read 2 more answers

Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3. (2 points) Select one: a. x = -4

Kay [80]

Answer:

Step-by-step explanation:

$\dfrac{4}{x}+\dfrac{4}{x^2-9}=\dfrac{3}{x-3}$

Domain:

$x\neq0\ \wedge\ x^2-9\neq0\ \wedge\ x-3\neq0\\\\x\neq0\ \wedge\ x\neq\pm3$

solution:

$\dfrac{4}{x}+\dfrac{4}{x^2-3^2}=\dfrac{3}{x-3}$

use (a - b)(a + b) = a² - b²

$\dfrac{4}{x}+\dfrac{4}{(x-3)(x+3)}=\dfrac{3}{x-3}$

multiply both sides by (x - 3) ≠ 0

$\dfrac{4(x-3)}{x}+\dfrac{4(x-3)}{(x-3)(x+3)}=\dfrac{3(x-3)}{x-3}$

cancel (x - 3)

$\dfrac{4(x-3)}{x}+\dfrac{4}{x+3}=3$

subtract $\frac{4(x-3)}{x}$ from both sides

$\dfrac{4}{x+3}=3-\dfrac{4(x-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x}{x}-\dfrac{(4)(x)+(4)(-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-\bigg(4x-12\bigg)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-4x-(-12)}{x}\\\\\dfrac{4}{x+3}=\dfrac{-x+12}{x}$

cross multiply

$(4)(x)=(x+3)(-x+12)$

use FOIL

$4x=(x)(-x)+(x)(12)+(3)(-x)+(3)(12)\\\\4x=-x^2+12x-3x+36$

subtract 4x from both sides

$0=-x^2+12x-3x+36-4x$

combine like terms

$0=-x^2+(12x-3x-4x)+36\\\\0=-x^2+5x+36$

change the signs

$x^2-5x-36=0\\\\x^2-9x+4x-36=0\\\\x(x-9)+4(x-9)=0\\\\(x-9)(x+4)=0$

The product is 0 if one of the factors is 0. Therefore:

$x-9=0\ \vee\ x+4=0$

$x-9=0$ add 9 to both sides

$x=9\in D$

$x+4=0$ subtract 4 from both sides

$x=-4\in D$

7 0

3 years ago

According to a recent survey, the probability that the driver in a fatal vehicle accident is female (event F) is 0.2805. The p

Aleks [24]

Question d:

(D) Find the probability of F'nA'

Answer:

0.4140

0.7619

0.2381

0.9576

Step-by-step explanation:

Given that :

Female in fatal accident P(F) = 0.2805

Driver is 24 years or less P(A) = 0.1759

Driver is female and 24 years or less P(FnA) = 0.0424

A.) Find the probability of FUA.

P(FUA) = P(F) + P(A) - P(FnA)

= 0.2805 + 0.1759 - 0.0424

= 0.4140

(b) Find the probability of F'UA.

P(F'UA) = 1 - P(F) + P(FnA)

= 1 - 0.2805 + 0.0424

= 0.7619

C.) P(FnA') = 1 - P(F'UA)

= 1 - 0.7619

= 0.2381

(d) Find the probability of F'nA'

P(F'nA') = (FnA)' = 1 - (FnA)

= 1 - 0.0424

= 0.9576

4 0

2 years ago