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3 years ago

2/3 (x - 7 ) = -2 AL y = 5/3 B: 8 1/3 C: 10 D: 4

Mathematics

1 answer:

nika2105 [10]3 years ago

8 0

Answer:

D: 4

Step-by-step explanation:

1. Solve the equation

$\begin{array}{rcl}\dfrac{2}{3}(x - 7) & = & -2\\\\2(x - 7) & = & -6\\x - 7 & = & -3\\x & = & \mathbf{4}\\\end{array}$

2. Check

$\begin{array}{rcl}\dfrac{2}{3}(4 - 7) & = & -2\\\\\dfrac{2}{3}(-3) & = & -2\\\\-2 & = & -2\\\end{array}$

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Round 545,999 to the nearest hundred thousand

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545,999 rounded to the nearest hundred thousand is 546,000.

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4 years ago

Two babies, Carter and Alyssa, were due on the same day. Carter was born 9 days before his due date. If Alyssa was born two week

VikaD [51]

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3 years ago

Which statement is false?

Zarrin [17]

Let's analyze our choices:
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4. People will perceive media messages differently. Have you ever watched a debate and thought that one side did a better job than the other, and then your friend starts an argument with you as they think that's total baloney? This statement is true too.

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Did that answer your question?

7 0

4 years ago

Solve the system of equations

Solnce55 [7]

Hey, there!!

Given that:

y = 3x.........(i)

$y = {x}^{2} + 3x - 16.......(ii)$

Putting the value of y in equation (ii)

${3x}^{} = {x}^{2} + 3x - 16$

${x }^{2} - 16$ =0

$( {x)}^{2} - {4}^{2} = 0$

$(x + 4)(x - 4) = 0$

Therefore,

Either Or

(x+4)=0 (x-4)=0

x= -4 x= 4

so, x= (+ -)4

And if you wanna get value of y, just keep value of x in equation (i).

y= 3x

y= (3×4) or (3×-4)

y= 12 or -12

{As it is the quadratic equation it has two values. }

Hope it helps....

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3 years ago

Which equation is the slope-intercept form of the line that passes through (6, –11) and is parallel to the graph of y = –2/3x +

IRINA_888 [86]

Answer:

<h2>The answer is option A</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - ⅔x + 12

Comparing with the general equation above

Slope = -⅔

Since the lines are parallel their slope are also the same

Slope of parallel line = - ⅔

The equation of the line using point

(6, –11) and slope - ⅔ is

$y + 11 = - \frac{2}{3} (x - 6) \\ y + 11 = - \frac{2}{3} x + 4 \\ y = - \frac{2}{3} x + 4 - 11$

We have the final answer as

$y = - \frac{2}{ 3 } x - 7 \\$

Hope this helps you

3 0

3 years ago