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3 years ago

What is (x-4) (x+5\6)

1 answer:

7 0

$(x - 4)( \frac{x + 5}{6} ) \\ = \frac{(x - 4)(x + 5)}{6} \\ = \frac{x(x) +x(5) + ( - 4)(x) + ( - 4)(5)}{6} \\ = \frac{ {x}^{2} + 5x + ( - 4x) + ( - 20) }{6} \\ = \frac{ {x}^{2} + 5x - 4x - 20 }{6} \\ = \frac{ {x}^{2} + x - 20 }{6}$

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Can someone please help me!

Anton [14]

Answer:

Step-by-step explanation:

Let's derive the equations for the two graphs;

For the graph towards the right,

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(2,1) and (3,2)

The slope = 2-1/ 3-2 = 1/1 = 1

From the general equation of a line

y = mx + c = 1× x + (-1) = x-1

y = x-1

Similarly for that towards the left we have;

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(2,1) and (3,2)

The slope = 2-1/ 3-2 = 1/1 = 1

From the general equation of a line

y = mx + c = 1× x + (-1) = x-1

y = x-1

Similarly for that towards the left we have;

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(-7,0) and (-4,-3)

Slope = -3-0/ -4-(-7) = -3/ 3 = -1

From the general equation of a line

y = mx + c = -1× x + c = -x + c

Since c is not obvious we can find the equation by picking just a point along the graph along side an arbitrary (x,y) point hence we have for slope;

If we pick (-7,0)

y-0 / x-(-7) = -1

y / x+7 = -1

y = -x -7

The equations of the graphed lines are;

y=x-1

y=-x-7

Look at option D you we see it's the same as the equation of the graph towards the right y=x-1

For the records

y=[x+3]-4 = x+3-4 = x-1

4 0

3 years ago

Which ordered pairs are in a proportional relationship with (0.2, 0.3)?

MAXImum [283]

Answer:

C and E

Step-by-step explanation:

We are given that

$x_1=0.2,y_1=0.3$

$\frac{y}{x}=\frac{0.3}{0.2}=\frac{3}{2}$

$k=\frac{y}{x}=\frac{3}{2}$

A. $x_2=1.2,y_2=2.3$

$\frac{y_2}{x_2}=\frac{2.3}{1.2}=\frac{23}{12}\neq=\frac{3}{2}$

Hence, it is not in proportional relationship with (0.2,0.3)

B.(2.7,4.3)

$x_3=2.7,y_3=4.3$

$\frac{y_3}{x_3}=\frac{4.3}{2.7}=\frac{43}{27}\neq\frac{3}{2}$

Hence, it is not in proportional relationship with (0.2,0.3).

C.(3.2,4.8)

$x_4=3.2,y_4=4.8$

$\frac{y_4}{x_4}=\frac{4.8}{3.2}=\frac{3}{2}$

Hence, the ordered pair (3.2,4.8) are in a proportional relationship with (0.2,0.3).

D.(3.5,5.3)

$\frac{y_5}{x_5}=\frac{5.3}{3.5}=\frac{53}{35}\neq \frac{3}{2}$

Hence, the ordered pair (3.5,5.3) are not in a proportional relationship with (0.2,0.3).

E.(5.2,7.8)

$\frac{y_6}{x_6}=\frac{7.8}{5.2}=\frac{3}{2}$

Hence, the ordered pair (5.2,7.8) are in a proportional relationship with (0.2,0.3).

4 0

2 years ago

A video game system and several games are sold for $ 648. The cost of the games is 3 times as much as the cost of the system. Fi

podryga [215]

First set up the equation.

x + 3x = 648

Then solve for x.

4x = 648

Divide both sides by 4.

x = 162. So the answer for the system would be $162 and the price for the games would be $486. Add the two up to check your work and you will get $648. Hope this helped!

-TTL

5 0

3 years ago

Solve for a <br> -3= 5a/7+4/7

Nastasia [14]

Answer:

a = -5

Step-by-step explanation:

4 0

2 years ago

Mary spent $4 more than 1/8 of her original amount of money on a bag. She then

Tanzania [10]

Answer:

464 $

Step-by-step explanation:

8 0

2 years ago