Points F and G lie on the graph of the equation y = −0.25x.What are the y-coordinates for each point?

Point F: (4,
) Point G: (–8,
)

Answers

Answer 1

Answer: All we need to do is apply these points into the function themselves.

For point F, y = -0.25(4) = -1
For point G, y = -0.25(-8) = 0.25(8) = 2

Point F's y-coord is -1 and Point G's y-coord is 2.

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What is the point-slope form of the equation of a line that passes through the point (1, 4) and has a slope of −3?A. Y - 1 = -3 (X - 4)

B. Y + 4 = 3(X + 1)

C. Y + 4 = -3 (X + 1)

D. Y - 4 = -3 (X - 1)

Answers

The point slope form equation is: y – y1 = m(x – x1)

Then just plug in the numbers:
Y – 4 = -3 ( x – 1) ANSWER D

Smith drives his car and covers 450 miles in 10 hours.At the same speed, how many hours will it take to cover 540 miles?Plz help

Answers

$450\ miles\ in\ 10\ hours\n\n540\ miles\ in\ x\ hour\n\nmaking\ proportion:\n450-10\n540-x\n\ncross\ multiplication\n\n450=540*10\n\n450x=5400\ \ \ \ \ | divide\ by\ 450\n\nx=12\n\nIt\ will\ take\ 12\ hours.$

450/10=540/x and than do cross multiply, 450x=5400 divide both side by 450 = 12 hours

gertrude won the jump rope contest four more times than elena. they have won a combined total of 18 jump rope contest. write and solve a system of equations to find the number of contest Gertrude won and the number of contest Elana won

Answers

g = how many contests that Gertrude won
e = how many contests Elena won

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Tim can paint a house in 6 days. Tara can paint a house in 3 days. a. What fraction of the house can Tim paint in one day? What fraction of the house can Tara paint in one day?
b. What fraction of the house can Tim paint in d days? What fraction of the house can Tara paint in d days?
c. What fraction of the house can Tim and Tara together paint in one day? What fraction of the house can Tim and Tara together pain in d days?
d. Write and solve an equation to find the number of days it will take Tim and Tara to paint the whole house working together?

Answers

There are so many parts to this question that I would normally skip it ...
I mean, even though there are only 4 letters, it needs 7 answers.
But I was so overcome with shock and awe at the sight of the bountiful
5 points at the end of the rainbow that I just couldn't pass it by.

Tim can paint a house in 6 days.
Tara can paint a house in 3 days.

a). Tim paints 1/6 of a house in one day.
Tara paints 1/3 of a house in one day.

b). In 'd' days, Time can paint d/6 of a house.
      In 'd' days, Tara can paint d/3 of a house.

c). In one day, Tim and Tara together can paint (1/6 + 1/3) = 1/2 of a house.
In 'd' days, Tim and Tara together can paint (d/6 + d/3) = d/2 of a house.

d). The number of days it will take Tim and Tara together to paint
   a whole house is
   N = 1 / (1/6 + 1/3)

   N = 1 / (1/2)

   N = 2 .

4(x + 3) + 2x = 6(x + 2)5 + 2(3 + 2x) = x + 3(x + 1)

5(x + 3) + x = 4(x + 3) + 3

4 + 6(2 + x) = 2(3x + 8)

which one has no solutions ?

Answers

The second option is your answer.

5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 4x = x + 3x + 3
11 + 4x = 4x + 3

Subtract 4 from both sides. You are left with an untrue statement:
11 = 3
11 ≠ 3 so therefore your answer is no solution.

Let’s try to look at each one.

First one:
4(x+3)+2x=6(x+2)
We can multiply.
4x+12+2x=6x+12
By looking at this, you can tell it’s equal due to the fact when you add like terms, they will have to same answer.

Second one:
5+2(3+2x)=x+3(x+1)
Let’s multiply.
5+6+4x=x+3x+1
I can already tell this isn’t equal. One has +11 and the other has +1. To make sure, let’s have x=1
5+2(3+2)=1+3(1+1)
5+2(5)=1+3(2)
5+10=1+6
15=7
7 and 15 are not the same number, so the second one doesn’t have any solutions.

Hey can you help me round the fallowing numbers to the nearest 10