Find the slope and y-intercept for the table.



slope:

y-intercept:

Answer:

Orville caught up with Wilbur in 2.5 hours

Step-by-step explanation:

Here, we want to calculate the number of hours it took for Orville to catch up to Wilbur

Mathematically,

distance = speed * time

The distance traveled before Orville restarted his own journey is ;

distance = 10 mph * 0.5 = 5 miles

(30 minutes is 30/60= 0.5 hours)

So this means that Wilbur was now 5 miles ahead of Orville

Now, let the number of hours it took to

catch up Wilbur be h

In h hours,

Wilbur would have traveled 5 miles + 10h

In this same time, Orville would have traveled

12 * h = 12h

So the distance traveled by the two will be equal at this h hour

5 + 10h = 12h

12h-10h = 5

2h = 5

h = 5/2

h = 2.5 hours

Answer:

[tex] \frac{3x}{5} - \frac{1}{10} = \frac{x + 2}{10} - 2 \\ \frac{6x - 1 = x + 2 - 20}{10} \\ 6x - x = - 18 + 1 \\ 5x = - 17 \\ x = - \frac{17}{5} [/tex]

Answer:

x= -17/5 or x=-3.4

Step-by-step explanation:

1. multiply both sides of equation by 10 (6x-1 = x+2-20)

2, calculate the difference (6x -1=x-18)

3. move the terms ( 6x-x-1=-18)

4. collect like terms ( 5x=-18+1)

5. divide both sides (x=-17/5)

Answer:

138 nonfiction

Step-by-step explanation:

Ratio problem, we are going to use the part to all approach

Step one:

given data

the ratio of nonfiction to fiction books is 2 to 5

otherwise expressed as 2:5

the total ratio is 2+5= 7

the total number of books is 161,

applying the part to all approach

nonfiction to all is

let the nonfiction be x

2/7=x/161

cross multiply we have

7x= 161*6

7x=966

divide both sides by 7

x=966/7

x=138 nonfiction

138 nonfiction

Answer:

We have to multiply 4 with 3 to make it equal to 12.

Step-by-step explanation:

Given the two equations:

[tex]6x - 5y = 21\\ 4x + 7y = 15[/tex]

In elimination method for solving two linear equations in two variables, one variable is eliminated by making the coefficients of the variable equal to each other and then the equations are subtracted from each other so that only one variable remains.

Here, we have to eliminate [tex]x[/tex].

The coefficients are 6 and 4.

The least common multiple of 6 and 4 is 12.

So, we multiply 6 by 2 to make it equal to 12.

and we have to multiply 4 with 3 to make it equal to 12.

And then the two equation have to be subtracted from each other.

Answeer

what the other person said was right

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function

Finding zero's

Zero's are

See the graph attached

Correct end behavior as per graph:

Answer:

As x approaches negative infinity, f(x) approaches negative infinity

Step-by-step explanation: Plato

Answer:

12.6

Step-by-step explanation:

The y intercept means that x=0, therefore you will plug in 0 in your equation.

f(x) = -5.4x + 12.6

f(0) = -5.4(0) + 12.6

f(0) = 0 + 12.6

=12.6

Answer:

1 ft / 0.3048 m

Step-by-step explanation:

Answer:

20x + 5 < 30

Step-by-step explanation:

To make a profit, the price on supplies must be less than the amount at which they sold their wares

Since they received $5 in tip, the amount of profit left to be accounted for is 30-5 = 25

So now, we need the smallest price at which they will sell per lemonade to make a profit

Mathematically, that will be;

20x + 5 > 30

Using this inequality X they will know the value of x that will give them profit

Answer:

x=-1

Step-by-step explanation:

Answer:

x=3/5 y=-2.5

Step-by-step explanation:

3x-2y=5, first find the x value which is 3x get rid of the 2y by during 2 times ,then 5/3 since you can't lower it down keep it 5/3, after is 2y same thing you did for 2y to get rid of it you will do 3x, now is 5/2 to get 2.5 or 5/2.

Answer:

x = 1.6

Step-by-step explanation:

Given f(x) = 10x + 3 and f(x) = 19, then equate right sides, that is

10x + 3 = 19 ( subtract 3 from both sides )

10x = 16 ( divide both sides by 10 )

x = 1.6

Answer:

Step-by-step explanation:

Given

and

Solution

Answer:

Chelsea can buy 5 shirts.

Step-by-step explanation:

You can't split shirts when buying them, so Chelsea can buy 5 shirts.

Answer:

8.7 * 10^7

Step-by-step explanation:

Scientific notation is a representation of huge but countable numbers at it's unit place with an expansion of the powers of 10.

Hence,

87,000,000

=87*10^6

=8.7*10^7

Answer:

 ≈ 3.4

Step-by-step explanation:

Coordinates of the point that divide segment with endpoints A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] ) in a ratio a : b are

[tex]\frac{bx_{1} +ax_{2} }{a+b}[/tex] , [tex]\frac{by_{1} +ay_{2} }{a+b}[/tex] )

A(- 4, - 7)

B(8, - 4)

Ratio 8 : 5

x-coordinate is [tex]\frac{5(-4)+8(8)}{8+5}[/tex] = [tex]\frac{44}{13}[/tex] ≈ 3.4

Answer:

7x+15y

Step-by-step explanation:

Answer:

15y+7x

Step-by-step explanation:

Simply the equation by combining like terms

Answer:

The answer is $68.58

Step-by-step explanation:

The total cost of the tax is $5.08 so if you add that to $63.50 you get $68.58.

PLEASE MARK BRAINLIEST

Answer:

109°

Step-by-step explanation:

there are two ways to slove this kind of questions.

simply,x = 64 + 45

or x = 180-(180 - 64- 45)

Answer:

Assuming we have the same question, the answer would be: D) h = 45tan59° ft

Step-by-step explanation:

The magical answer that you are looking for is D.

Answer:

The answer is D

Step-by-step explanation:

Answer:

y = 50 is answers and it is alternate angle

Answer:

B

Step-by-step explanation:

The two angles are the same

Answer:

-4, 3

The answer to the next question is: A (+4/3), B (+2/3), D (+2), E (+4), G (+1/3), H (+1)

Step-by-step explanation:

For edge:)

Rational root theorem is used to determine the potential roots of a function

The potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

The function is given as:

[tex]\mathbf{f(x) = 3x^2 - x - 4}[/tex]

p represents the leading coefficient, while q represents the constant term.

So, we have:

[tex]\mathbf{p = 3}[/tex]

[tex]\mathbf{q = 4}[/tex]

The factors of p and q, are:

[tex]\mathbf{p =\pm 1, \pm 3}[/tex]

[tex]\mathbf{q =\pm 1, \pm 2, \pm 4}[/tex]

So, the potential roots are:

[tex]\mathbf{Roots = \pm\frac{q}{p}}[/tex]

[tex]\mathbf{Roots = \pm\frac{\pm 1, \pm 2, \pm 4}{\pm 1, \pm 3}}[/tex]

So, we have:

[tex]\mathbf{Roots = \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

Hence, the potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

Read more about rational root theorems at:

https://brainly.com/question/9353378

Answer:

[tex]\frac{x}{8}[/tex]

Step-by-step explanation:

When solving inverse functions, switch the x and y's:

x=8y

Then solve for y: (divide 8 on both sides)

[tex]\frac{x}{8}=y\\[/tex]

Answer:

1/2

Step-by-step explanation:

(1,1) (2,3)

you have to do the difference of the x axis and y axis then divid them by each other

Answer:

8 units right 2 units down

Step-by-step explanation:

Answer:

3.8 is the answer of this question

since we know supplementary angles equal 180 degrees, we know that 67 plus x must equal 180 degrees, so the equation for this problem would be

67+x=180, and x is equal to 113

Answer:

Four and two hundred nine thousandths

Answer

four and two hundred nine thousandths. or, simpler: four point two hundred nine. or, even simpler: four point two zero nine.

Step-by-step explanation:

Answer:

11w + 6g ≥ 120

Step-by-step explanation:

Let's set:

w = number of hours Lauren spent washing cars

d = number of hours Lauren spent walking dogs

Lauren makes $11 per hour washing cars, thus she earns 11w in total for washing cars.

Lauren makes $6 per hour walking dogs, thus she earns 6d in total for walking dogs.

The total earnings are:

T = 11w + 6g

Lauren must earn not less than $120 this week, thus:

11w + 6g ≥ 120

This is the required inequality

Answer:

11w+6d≥120

Step-by-step explanation:

this is straghit from my delt math so it has to be right

Answer: 40 grams

Step-by-step explanation:

Each horse needs 300 milligrams and each horse eats 15 pounds of feed per day.

This means that 300 milligrams should be in 15 pounds of feed.

In 2,000 pounds therefore, the medication that should be added is;

= (2,000 * 300) / 15

= 40,000 milligrams of supplement

Question calls for how much grams are needed.

1 gram is 1,000mg

40,000 milligrams is;

= 40,000/1,000

= 40 grams