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3 years ago

11

Is the relationship shown by the data linear? If so, model the data with an equation. x= -7, -5, -3 ,-1 , y = 5, 9, 13, 17

1 answer:

sergey [27]3 years ago

4 0

The data is linear as the x and y are both increasing at a set amount.
X increases by 2 each time Y increases by 4.
Our slope would be 2x because every time x goes up 1 y goes up 2.
With that knowledge I can figure that if you increased the point -1,17 by the slope to get 0,21 that would be the y intercept.
Thus the equation should be y=2x+21

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<img src="https://tex.z-dn.net/?f=9%28x%2B1%29%20-4x%20%3D%205-%28x-3%29" id="TexFormula1" title="9(x+1) -4x = 5-(x-3)" alt="9(x

nekit [7.7K]

Answer:

$x=\frac{-1}{6}$

Step-by-step explanation:

$9(x+1) -4x = 5-(x-3)$

$9(x+1) -4x = 5-(x-3) \\$

$9x+9\cdot1-4x=5-\left(x-3\right)$

$9x+9-4x=5-\left(x-3\right)$

$\left(9x-4x\right)+9=5-\left(x-3\right)$

$5x+9=5-\left(x-3\right)$

$5x+9=5-x+3$

$5x+9=-x+\left(5+3\right)$

$5x+9=-x+8$

$5x+9=-x+8$

$5x+9+x=-x+8+x$

$5x+x+9=-x+8+x$

$6x+9=-x+8+x$

$6x+9=-x+x+8$

$6x+9=8$

$6x+9=8$

$6x+9-9=8-9$

$6x=8-9$

$6x=-1$

$\frac{6x}{6}=\frac{-1}{6}$

$x=\frac{-1}{6}$

4 0

3 years ago

Sofia takes 10mg of a medicine whose concentration in blood decreases by a factor of one half every day. Let t be the number of

bazaltina [42]

Answer: Medication in Lexi's system on day t becomes,

$L=10.625(\frac{1}{2})^{t-4}$

Step-by-step explanation:

Since we have given that

Initial amount Sofia takes of a medicine = 10 mg

Concentration in blood decreases by a factor of one half every day.

So, it becomes,

$S=10(\frac{1}{2})^t\\\\here,\text{ t denotes number of days}$

According to question, four days later, it becomes,

$S=10(\frac{1}{2})^4\\\\S=\frac{10}{16}\\\\S=0.625\ mg$

We have given that Lexi takes 10 mg of the same medicine.

So, it becomes,

$10+0.625\\\\10.625\ mg$

Hence, Medication in Lexi's system on day t becomes,

$L=10.625(\frac{1}{2})^{t-4}$

3 0

3 years ago

Read 2 more answers

What is the LCD for fractions <br><br> 5/7 And 1/21. ?

Kryger [21]

For the denominators (7, 21) the least common multiple<span> is </span>21.

Therefore, the least common denominator (LCD<span>) is </span>21.

<span>Rewriting the original inputs as equivalent fractions with the </span>LCD:
<span>15/21, 1/21</span>

4 0

3 years ago

PLEASE HELP ME <br> There is supposed to be two answers

Nuetrik [128]

A and D:)
Hope I helped!

6 0

3 years ago

Drag each label to the correct location on the image.

mash [69]

Answer:

Scientific: 5.91E10, 2.66 × 10-3

Standard: 0.0000734, 641,000,000,000

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers