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kolezko [41]
3 years ago
10

The line passes through (-5,6), slope=3. Write the equation in point-slope form​

Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0

Answer:

y = 3x + 21

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula  

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An estate of $686,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receive
gregori [183]

Answer:

The oldest gets -> $335,500

The middle gets -> $182,750

The youngest gets -> $167,750

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

<em>686,000 = 2y + (15,000 + y) + y</em>

<u>Step 2:  Solve for y</u>

686,000 - 15,000 = 2y + 15,000 + y + y - 15,000

671000 / 4 = 4y / 4

<em>167,750 = y</em>

<u>Step 3:  Figure the amount of money the middle sibling gets</u>

m = y + 15,000

m = 167,750 + 15,000

<em>m = 182,750</em>

<u>Step 4:  Figure the amount of money the oldest sibling gets</u>

o = 2y

o = 2(167,750)

<em>o = 335,500</em>

Answer:  The oldest gets -> $335,500

                The middle gets -> $182,750

                The youngest gets -> $167,750

3 0
3 years ago
Read 2 more answers
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
lara31 [8.8K]

Answer:

the correct answer is

C.

StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction

3 0
3 years ago
Find the value of k for which equation k2x2+2kx=4x-6 has no real roots.
hoa [83]

Answer:

Step-by-step explanation:

6 0
3 years ago
2. How many solutions does the below system of equations have?
bearhunter [10]
Y=5x-4

3y=15x-8
3(5x-4)=15x-8
15x-12=15x-8
??

Therefore, there is no solution.
8 0
3 years ago
Read 2 more answers
A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. let w = quarts of water left in the tub and t =
Sholpan [36]

This is a linear relationship. The slope-intercept form of the linear equation is:

y=mx+c

Where,

  • m is the rate of change (positive if increasing rate and negative if decreasing rate)
  • c is the y intercept, or the initial value

<u><em>Rate of change is 2.5 quarts per minute (it is decreasing so m is -2.5)</em></u>

<u><em>Initial value is 50 quarts, so c is 50.</em></u>

Plugging in the values we get y=-2.5x+50.


Changing variables to w instead of y and t instead of x, gives us,

w=50-2.5t. Where w is warts of water left in the tub and t is the time in minutes.


There is no viable solution when t=30 because at t=20, w=0 (0=50-2.5(20)). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.


ANSWER:

Modelling equation: w=50-2.5t

When t=30, there is no VIABLE solution

5 0
3 years ago
Read 2 more answers
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