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3 years ago

The quotient of 52 and the sum of - 4 and -9

Mathematics

1 answer:

vampirchik [111]3 years ago

7 0

Answer:

Step-by-step explanation:

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Identify the equation of the linear function through the points (- 2,- 7) and (1,2). Then state the rate of change of the

Assoli18 [71]

Answer:

The equation of line is y = 3 x - 1 , i.e option A .

The rate of change = m = 3

Step-by-step explanation:

Given as :

The points are

( $x_1$ , $y_1$ ) = (- 2, -7)

( $x_2$ , $y_2$ ) = (1 , 2)

Let The slope = m

<u>Now, The slope is calculated in points form</u>

So, Slope = $\dfrac{y_2-y_1}{x_2-x_1}$

I.e m = $\dfrac{2-(-7)}{1-(-2)}$

or, m = $\dfrac{9}{3}$

I.e m = 3

So, The slope of points = m = 3

I,e Rate of change = m = 3

<u>Now, the equation of line in slope - point form can be written as</u>

y - $y_1$ = m ( x - $x_1$ )

where m is the slope of line

i.e y - (-7) = ( 3 ) × ( x - (-2) )

or, y + 7 = 3 × (x + 2)

∴ y + 7 = 3 x + 6

Or, y = 3 x + 6 - 7

Or, y = 3 x - 1

So, The equation of line is y = 3 x - 1

Hence, The equation of line is y = 3 x - 1 , i.e option A .

And The rate of change = m = 3 Answer

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4 years ago

Meg read a book in 3 weeks,2 days, and 3 hours. how many hours did she spend reading a book I need help

san4es73 [151]

Shesp ends reading 219 hours reading that book

5 0

3 years ago

The directrix of a parabola is y=−4y=−4 . The focus of the parabola is (−2,−2)(−2,−2) .

salantis [7]

Refer to the diagram shown below.

The directrix is y = -4 and the focus is (-2, -2).
Therefore the vertex is at (-2, -3).

Consider an arbitrary point (x,y) on the parabola.
The square of distance from the focus to the point is
(x+2)² + (y+2)²
The square of the distance from the point to the directrix is
(y+4)²

Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3

Answer: $y = \frac{1}{4} (x+2)^{2} - 3$

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3 years ago

Please help meeeeeeee

slavikrds [6]

D no Solution would be the answer

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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

adelina 88 [10]

Answer:

$L = 10(\frac{1}{2} )^{t-4}$

Step-by-step explanation:

If t is the number of days since Sofia took the medication of 10 mg, then the amount of medication in her system after t days will be $S = 10(\frac{1}{2} )^{t}$ .

So, the concentration of medicine in blood decreases by a factor of one half every day.

If we count the number of days from today and Lexi takes 10 mg of the same medicine four days later then the amount of medicine left on her body after t days will be $L = 10(\frac{1}{2} )^{t-4}$ . (Answer)

3 0

3 years ago

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