What is the slope and y-intercept?
What is the slope and y-intercept? - 1

Answers

Answer 1
Answer: slope=rise/run
yintercept is where the line crosses the y axis
y=mx+B
m=slope
b=yint
intercept at -3
y=mx-3
pick  a point
(5,0)
x=5,y=0
0=m(5)-3
add 3
3=5m
divide 5
3/5=m

slope=3/5
y int=-3

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Answers

Option D:

Difference between g(x) and f(x) is 44.

Solution:

Let us first write the function of f(x).

Take any two points on the line (0, -1) and (-2, 0).

Here, x_1=0, y_1=-1, x_2=-2, y_2=0

Equation of a line:

$(y-y_1)/(x-x_1) =(y_2-y_1)/(x_2-x_1)

$(y-(-1))/(x-0) =(0-(-1))/(-2-0)

$(y+1)/(x) =(1)/(-2)

Do cross multiplication.

-2(y + 1) = x

-2y - 2 = x

Add 2 on both sides.

-2y = x + 2

Divide by -2 on both sides.

$y=-(1)/(2)x-1

y = -0.5x - 1

f(x) = -0.5x - 1

At x = 20,

f(20) = -0.5(20) - 1 = -11

g(x) = 1.5x + 3

g(20) = 1.5(20) + 3 = 33

Difference between g(x) and f(x)

            = g(20) - f(20)

            = 33 - (-11)

            = 33 + 11

            = 44

Difference between g(x) and f(x) is 44.

Option D is the correct answer.

without looking not picking a red hat from a box that holds 20 red hats, 30 blue hats, 15 green hats, and 25 white hats

Answers

there are 90 hats all together. from just red the fraction is 20/90. 20 divide by 90 = .22
there is a 22% chance.

Answer:

the box

Step-by-step explanation:

There are 26 baseball teams in the league. Each team has 18 players. Write a number sentence that will provide a reasonable estimate for the number of players in the league. Explain how you found your estimate

Answers

since one team has 18 players, and there are 26 teams, so it would be 26 times 18 which is 468 players

Write #9/6 as a mixed number in simplest form. HELOP

Answers

the answer is 1 3/6 because  6 goes into 9 1 time and  the remainder is 3  then simplified is 1 and 1/2

Cheddar cheese costs £7.50 for 1kg
Marie buys 200g of cheese
How much does she pay

Answers

1kg = 1000g
1000 divided by 5 = 200
7.50 divided by 5 = 1.5
= £1.50

If you add 5 to me and then divide by 9, you get3. What number am I

Answers

First we need to reverse all of these operations. So, you need to start with three. It says to divide by nine, so then you multiply three by nine. Three times nine is equivalent to 27.

Now you have the number 26. Reverse the addition to subtracting and you get the final answer 22.

Let's check it. 22 plus five is 27. 27 divided by nine equals three.

So you final answer is three.

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x-number\n\n(x+5)/(9)=3\ \ \ \ \ \ |\cdot9\n\nx+5=27\n\nx=27-5\n\nx=22\n\nYou\ are\ 22