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3 years ago

find the solution to the system of equations. 4c = 3d 3 c = d - 1 c = 6, d = 7 c = 3, d = 4 c = 8, d = 7 c = 5, d = 4

1 answer:

6 0

If you would like to find the solution to the system of equations, you can do this using the following steps:

4c = 3d + 3
c = d - 1
___________
4 * (d - 1) = 3d + 3
4d - 4 = 3d + 3
4d - 3d = 3 + 4
d = 7

c = d - 1 = 7 - 1 = 6

The correct result would be c = 6, d = 7.

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Factor the equation please help

LiRa [457]

Answer:

For A

${ \rm{6 {x}^{2}(x + 1) - 2x(x + 1) }}$

• The equation above has a common bracket "(x + 1)". So, let's first factorise out that bracket:

$\dashrightarrow \: { \rm{(x + 1) \{6 {x}^{2} - 2x \} }}$

• now in the second bracket, the common factor is x and 2.

$\dashrightarrow \: { \rm{(x + 1) \{2x(3x - 1) \}}}$

• Final answer;

${ \boxed{ \boxed{ \rm{ \dashrightarrow \: 2x(x + 1)(3x - 1) \: \: }}}}$

For B

${ \rm{3(x - 1)(x + 2) + ( {x}^{2} - x)(x + 2) }}$

• In the equation, the common bracket is (x + 2).

So let's first factorise it out:

$\dashrightarrow \: { \rm{(x + 2) \{3(x - 1) + ( {x}^{2} - x) \}}} \\ \\ { \rm{(x + 2) \{3(x - 1) + x(x - 1) \}}}$

• In the second major bracket, the common bracket is (x - 1). so factorise it out:

${ \rm{(x + 2) (x - 1) \{3 + x \}}}$

• Final answer:

${ \boxed{ \boxed{ \rm{ \dashrightarrow \: (x + 2)(x + 3)(x - 1) \: \: }}}}$

8 0

3 years ago

Solve the equation for x. 2x + 22 = 4(x+3)

shusha [124]

Answer:

x = 5

Step-by-step explanation:

We have the algebraic expression and are asked to solve for x.

To solve, we need to isolate x.

2x + 22 = 4(x + 3)

Distribute :

2x + 22 = (4(x) + 4(3))

2x + 22 = 4x + 12

Subtract 12 from both sides :

2x + 10 = 4x

4x = 2x + 10

Subtract 2x from both sides :

2x = 10

Divide 2 from both sides to get x alone :

x = 5

5 0

3 years ago

Read 2 more answers

A recent poll found that 35% of those surveyed are worried about aggressive drivers on the road. If three people are selected at

Ugo [173]

The probability that all three people surveyed is an independent probability and the calculated probability is 0.1225

The probability a surveyed driver is worried = 35%

P(worried) = 0.35

Number of people surveyed = 3

Since the probability of being worried is independent ;

Probability = P(A) × P(B) × P(C)

The probability that all 3 surveyed are worried :

P(worried) × P(worried) × P(worried)
(0.35 × 0.35 × 0.35) = 0.1225

Therefore, the probability that all three people surveyed are worried is : 0.1225

Learn more : brainly.com/question/18153040

5 0

2 years ago

What is the slope of a line perpendicular to the line with equation y = 5x – 2?

LekaFEV [45]

Answer:

- $\frac{1}{5}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 2 ← is in slope- intercept form

with slope m = 5

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{5}$

4 0

3 years ago

Given f(x)= √7x and g(x) = 1/x-8 which value is in the domain of f^o g

bekas [8.4K]

Answer: x>8

Step-by-step explanation: when we plug g(x) into f(x) we get sqrt7(1/x-8) and when you graph (as shown below) this you see that the graph has a vertical asymptote of 8 therefore the domain is x>8

8 0

3 years ago