The equation of the blue line is y=-x+5. Manipulate
the orange line by setting the sliders so its slope, m, is
-1 and its y-intercept, b, is-3.
Does the system appear to have a solution after the
changes?
Yes. The lines intersect at one point.
Yes. The lines intersect at many points.
No. The lines do not seem to intersect.

Answer:

The inequality which correctly compares Three-fourths, One-seventh, and Five-sixths is : One-seventh < Three-fourths < Five-sixths.

The first option is correct.

Step-by-step explanation:

To determine which inequality correctly compares Three-fourths, One-seventh, and Five-sixths, we will arrange them in ascending order.

To do this, first, we will determine the LCM of the fractions denominators..

Three-fourths, One-seventh, and Five-sixths

[tex]\frac{3}{4}, \frac{1}{7}, and \frac{5}{6}[/tex]

The denominators are 4, 7 and 6.

LCM of 4,7 and 6 is 84

Then, we will write the fractions in a form whereby they all have the same denominators.

[tex]\frac{3}{4}, \frac{1}{7}, and \frac{5}{6}[/tex]  can be written as

[tex]\frac{63}{84}, \frac{12}{84}, and \frac{70}{84}[/tex]

The resulting order of the numerators gives the order of the fractions.

Now, we will arrange [tex]\frac{63}{84}, \frac{12}{84}, and \frac{70}{84}[/tex] in ascending order. This becomes

[tex]\frac{12}{84}, \frac{63}{84},and \frac{70}{84}[/tex].

∴ The ascending order of the fractions is [tex]\frac{1}{7}, \frac{3}{4},and \frac{5}{6}[/tex].

That is, One-seventh, Three-fourths, and Five-sixths.

Hence, we can write that

One-seventh < Three-fourths < Five-sixths.

This is the inequality which correctly compares Three-fourths, One-seventh, and Five-sixths

Answer:

d

Step-by-step explanation:

Answer:

The third option is wrong becuase x isn't a defined variable, and they specified that the book must be at least 250 pages, which means that it can't be less.

Step-by-step explanation:

A non negative integer is an integer that that is either positive or zero. It's the union of the natural numbers and the number zero

Answer:

slope, m

y-intercept

Step-by-step explanation:

When writing an equation in slope-intercept form, there will be need for slope and y- intercept.

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here m is slope and c is constant.

To writing the slope intercept form of the equation,

There will be requirement of slope,

and y intercept, it will be in form of (0, a), here a will be value of y coordinate.

To know more about Slope intercept form :

https://brainly.com/question/9682526

#SPJ2

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The average rate of change can be found by using the following formula

[tex]\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}[/tex]

Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.

By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.

Now that we know this, we can simply plug these values into the formula!

[tex]\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}[/tex]

Good luck!

Answer:

-1

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

72 ÷ 3 = 24

so you know that the men is 24 × 2 = 48

48:72 = 2:3

i looked it up and it says x=4 and theres 12 men but i dont think that helps im so sorry i couldnt find anything:(

Answer:The race is 111.6

Step-by-step explanation:The race is 111.6 m long.

8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1

Add to this the distance to the first hurdle and the distance from the last hurdle:

86.1+15+10.5 = 111.6 m

Step-by-step explanation:

Answer:

If I am incorrect, please let me know.

Step-by-step explanation:

This is the work I did.

Please mark me brainliest :)

Answer:

C: 147°

Step-by-step explanation:

Based on looking, the most appropriate answer should be C, which is 147°.

Answer:

Step-by-step explanation:

Answer: 57 cents each

Answer:

57 cents

Step-by-step explanation:

divide the amount of money by the amount of oranges to find the amount each of them are. so if each of them are 57 then 1 is 57.

Step-by-step explanation:

So first thing is to determine which trigonometric ratio we use here. Theta is adjacent to 5 and 8 is the hypotenuse, so we should be using Cosine.

So we set up the equation

cos θ = adj/hype

cos θ = 5/8

θ = [tex]cos^{-1} (5/8)[/tex]

θ=51.3178125...

θ=51°

Answer: x + 17

Step-by-step explanation:

if capacity is x, 17 is added to x, hence x + 17

Answer:

2

Step-by-step explanation:

Answer: It’s 4

Step-by-step explanation:

Answer:

0.6 over 0.6. Or just 1.

Step-by-step explanation:

Answer:

189

Step-by-step explanation:

If mark uses 19 gallons to travel 399 miles, that means he was able to travel 21 miles per gallon.

We get this by taking 399 divided by 19.

So if mark travels on 9 gallons of gas and goes 21 miles per gallon, he will have traveled 189 miles.

We get this by taking 21 times 9

Long division is easier than you think. Here's how to solve this problem:

1. See how many times 36 can go into 66.

Multiply until you reach a number that is closest (or exact) to 66.

36 x 1 = 36; 36 x 2 = 72.

72 is over 66, so 2 doesn't work. Therefore, we'd put "1" in the first space on the shelf (right above the 6).

2. Subtract.

Now that we have "1" on the shelf, you need to subtract 36 by 66. We do this because 36 x 1 is 36. If it were the number "2" on the shelf, we'd subtract 72, and so on.

66 - 36 = 30.

3. See how many times 36 can go into 30.

Since it can't go into 30, we bring the 3 down (hence the arrow pointing down). The number is now 303.

4. See how many times 36 can go into 303.

I won't write it all out, but after multiplying 1-7 by 36, we find that the closest solution is 36 x 8 = 288.

We put "8" on the shelf, next to "1".

5. Subtract.

Now that "8" is on the shelf, we subtract 288 by 303, which gives us 15.

Since 36 cannot go into 15, and there are no more numbers we can drag down, your remainder is 15.

Your answer is:

36 R 15

The first two boxes under 663 should be filled with 36, the next three under that should have 303, the next three should have 288, and the final two boxes should have 15.

I hope this helped!

Answer:

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1) = (9+6)/(-8-1) = -15/9

= -5/3

Answer:

12 pounds

Step-by-step explanation:

You have to divide the mass value by 16.

Answer:

answer can vary

Step-by-step explanation:

it can be 4,5,6,7,8

answer

it can be 4,5,6,7,8.

Answer:

60

Step-by-step explanation:

all angles in a triangle measures 180°

Answer: Jarrah has to rake 25 bags.

Step-by-step explanation: Jarrah

Jarrah needs to get $159 dollars, right? Well since he already has $38, we just need to subtract 159 and 38. 159-38 is 121. (121 is how much heneeds  )Each bag raked costs $5, and 5 can't go into 121, so it's best to have more than less. Multiply 5 and 25, and you will get $125. That is more than enough, you cannot do 5x24 because it would be 120, which is too low. Therefore, Jarrah needs to rake 25 bags.

2 = Distributive Property (you are distributing the -5 to the x and the -6)

1 = Given (its the original equation)

3 = Addition Property of Equality (you add 5x to both sides)

4 = Division Property of Equality (you divide both sides by 15)

Answer:

Step-by-step explanation:

Correct ratios as per diagram are:

2nd and 3rd equations are incorrect as showing incorrect ratios or not corresponding sides.

Answer:

mine is in different order

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

if you suntract the 2 you, 3x cancels 2y cancels, 8-6 is 2

Answer:  Line BC is parallel to line AD. The system of equations has the sum 0 = 14. Since this is a false equation, the system has no solution, which means the lines will never intersect.

Step-by-step explanation: