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4 years ago

9

Mario was given some birthday money. He puts the money in an account. Every month after that, he deposits the same amount of mon

ey.The equation that models this situation is y = 75x + 50, where y is the amount of money in the account and x is the number of deposits.What does the y-intercept mean in this situation? A. He puts $75 in the account each month. B. He puts $50 in the account each month. C. He was given $75 for his birthday. D. He was given $50 for his birthday.

2 answers:

kap26 [50]4 years ago

8 0

Answer:

D. He was given $50 for his birthday.

Step-by-step explanation:

APEX

Sedbober [7]4 years ago

5 0

Answer:

C.He was given $50 for his b-day.....APEX

Step-by-step explanation:

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What is the equation of the line that passes through (-2,3) and is parallel to 2x+3y=6?

Vsevolod [243]

Answer:

<h2>2x + 3y = 5</h2>

Step-by-step explanation:

$\bold{METHOD\ 1:}$

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

Let $k:y=m_1x+b_1,\ l:y=m_2x+b_2$

then

$l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have the equation of a line:

$2x+3y=6$

Convert to the slope-intercept form:

$2x+3y=6$ <em>subtract 2x from both sides</em>

$3y=-2x+6$ <em>divide both sides by 3</em>

$y=-\dfrac{2}{3}x+2\to m_1=-\dfrac{2}{3}$

therefore the slope is $m_2=-\dfrac{2}{3}$

Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{2}{3}(-2)+b$

$3=\dfrac{4}{3}+b$ <em>subtract 4/3 from both sides</em>

$\dfrac{9}{3}-\dfrac{4}{3}=b\to b=\dfrac{5}{3}$

Finally:

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$

Convert to the standard form (Ax + By = C):

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$ <em>multiply both sides by 3</em>

$3y=-2x+5$ <em>add 2x to both sides</em>

$2x+3y=5$

$\bold{METHOD\ 2:}$

Let $k:A_1x+B_1y=C_1,\ l:A_2x+B_2y=C_2$ .

Lines <em>k</em> and <em>l</em> are parallel iff

$A_1=A_2\ \wedge\ B_1=B_2\to\dfrac{A_2}{A_1}=\dfrac{B_2}{B_1}$

We have the equation:

$2x+3y=6\to A_1=2,\ B_1=3$

then the equation of a line parallel to given lines has the equation:

$2x+3y=C$

Put the coordinates of the point (-2, 3) to the equation:

$C=2(-2)+3(3)\\\\C=-4+9\\\\C=5$

Finally:

$2x+3y=5$

4 0

3 years ago

What is the equation of the line whose y-intercept is 3 and slope is 1? A.y = x + 3 B.y = 3x + 1 C.y = x - 3

mario62 [17]

Answer:

The answer is option A

Step-by-step explanation:

Equation of a line is y = mx + b

where

m is the slope

b is the y intercept

From the question

b / y intercept = 3

m / slope = 1

Substitute these values into the below equation

y = mx + b

We have the answer as

y = x + 3

Hope this helps you

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3 years ago

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There are 3 white marbles and 7 blue marbles in a bag. Jamie will randomly pick two marbles out of the bag without replacing the

Novosadov [1.4K]

$|\Omega|=10\cdot9=90\\ |A|=3\cdot7=21\\\\ P(A)=\dfrac{21}{90}=\dfrac{7}{30}\approx23\%$

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3 years ago

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kayleigh buys buys boxes of girl scout cookies that each have the same cost, c. she represents the cost of 4 boxes of thin mints

rusak2 [61]

4c+c+5c = 5c+5c= 10c

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3 years ago

Evaluate the exponential function<br> f(x) = 3x ; x = -2

lord [1]

Answer:

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Step-by-step explanation:

Plug (-2) in for X in the equation

3(-2)

-6

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