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2 years ago

WILL GIVE YOU BRILLIANT

Mathematics

1 answer:

IgorLugansk [536]2 years ago

7 0

Answer:

The relationship will be a solid line.

Step-by-step explanation:

The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.

The relationship will be a solid line as it is a linear and common slope. Each time you buy lunch, the amount in the card will decrease by $4.

Let the number of lunches you buy be = x

Let the amount remaining in the card be = y

So, equation forms:

When you buy 1 lunch, or x = 1

When x = 2

When x = 3

We can see that the decrease is gradual and same.

You can also see the graph attached that a straight line is formed.

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A point is chosen at random on a line segment of length L. Interpret this statement, and find the probability that the ratio of

Flauer [41]

Answer:

Probability=2/5

Step-by-step explanation:

Let the line segment be AB of uniform length and x is distance

$P(\frac{min(x,L-x)}{max(x,L-x)} )$

Case 1 min(x,L-x) then

$=\frac{x}{L-x}\leq 1/4\\x$

Case 2 min(x,L-x)=L-x then

$=\frac{L-x}{x}\frac{4L}{5}\\$

So Probability

$P=\int\limits^{L/5}_0 {f(x)} \, dx+\int\limits^{L}_{4L/5} {f(x)} \, dx\\ P=\int\limits^{L/5}_0 {\frac{1}{L} } \, dx+\int\limits^L_{4L/5} {\frac{1}{L} } \, dx\\ P=\frac{1}{L}(\frac{L}{5} -0+L-\frac{4L}{5} )\\ P=\frac{1}{L} (2L/5)\\P=\frac{2}{5}$

6 0

3 years ago

I NEED YOUR HELP IF YOU KNOW HOW TO DO IT OR EVEN HAVE A GREAT QUESS I WOULD LOVE TO HEAR IT SO PLEASE HELP ME PLEASE

Brut [27]

Answer:

±1,±1/3,±5,±5/3,±25,±25/3

Step-by-step explanation:

Rational roots test (p/q)

p= factors of constant

q= factors of number with highest degree

In this equation, the number with the highest degree (power) is 3.

The factors of 3 are 3 and 1.

The constant term is 25.

Factors of 25 are 25, 1, 5, 5

so, basically,

p/q = factors of constant/ factors of number w/ highest degree.

25, 1, 5/ 3,1

so, 25/3, 25/1, 1/3, 1/1, 5/3, 5/1

8 0

3 years ago

You want to rent a limousine for a trip to the city. The limo costs $700 for the night and $0.15 per mile. You have $750 to spen

Svetradugi [14.3K]

We know:
You have $750 to spend.
A limo costs $700.
They charge $0.15 per mile.

Since we want both sides to balance out, we simply put the solution (how much we have to spend) on one side of the equation, and then the rest on the other side as shown here:

$750 (balance) = $700 (how much renting the limo costs) + 0.15x (it's a decimal since it's 15 cents per mile; the x represents however many miles the limo can travel before it reaches the $750 cap (on the left side of the equation))

Basically:
$750 = $700 + $0.15x

Now, if you want to solve how many miles the limo can travel, simply subtract $700 from both sides (subtract it from the $750).
$750 - $700 = $50

The equation should now be $50 = $0.15x
Isolate x (divide $0.15 to both sides) so:
$50 ÷ $0.15 = 333

The limo can travel a maximum of 333 miles.

5 0

3 years ago

denpristay [2]

Answer:

x = 10, y = 0

Step-by-step explanation:

x + y = 10 ---> x = 10 - y

3x + 2y = 30

3 (10 - y) + 2y = 30

30 - 3y + 2y = 30

y = 0

x + 0 = 10

x = 10

3 0

3 years ago

Select the statements that are true about the graph.

torisob [31]

Answer:It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.

Step-by-step explanation:

The Y intercept of a straight line is simply where the line crosses the Y axis.

Example

Y intercept

In the above diagram the line crosses the Y axis at 1.

The Y intercept is equal to 1 and the point is written as (0,1). Notice that for the y-intercept the x-coordinate of the point is always zero..

8 0

3 years ago