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The linear equation for this scenario is L = -20t + 140. Layla owes her friend $140 and pays the friend $20 per week.

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let L represent the amount Layla owes her friend after t weeks.

Using the point from the graph (0, 140) and (7, 0):

L - 140 = [(0 - 140)/(7 - 0)](t - 0)

L - 140 = -20t

L = -20t + 140

The y intercept is 140

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Answer:

35

Step-by-step explanation:

one word: PEMDAS. technically they are all a bunch of words but whatever...

P: parentheses

e: exponents

m: multiply

d: divide

a: add

s: subtract

first we multiply 4*10 since that's first on the list

4*10=40

we have

3+40-8

then we add

3+40

which is 43

then we subtract 8 from it as we have 43-8

which is in the end:

35

The third ordered pair that satisfy the given equation is (123, 369).

The given parameters;

The third ordered pair of the equation can be determined by using general equation of a circle;

[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]

The radius of the circle is calculated as;

[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]

The value of a can be obtained by randomly choosing numbers less than the radius as values of b.

[tex]b < r\\\\b < 388.96[/tex]

[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]

Thus, the third ordered pair that satisfy the given equation is (123, 369).

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[tex]a) \\\\\dfrac {2x}{3} =8 \\\\\implies 2x = 8 \times 3 = 24\\\\\implies x = \dfrac{24}2 = 12\\\\b)\\\\\dfrac{3x}2 = 6\\\\\implies 3x = 6\times 2 = 12\\\\\implies x = \dfrac{12}3 =4[/tex]

Answer:

y = 7

Step-by-step explanation:

3y + 5 = 4y − 2

=> 2 + 5 = 4y - 3y

=> y = 7

Therefore, y = 7.

Hoped this helped.

[tex]GeniusUser[/tex]

Problem 1

---------------------

Explanation:

The first task is to determine the function for f(x). Because it's linear, it's in the form y = mx+b. Let's find the slope m.

Select any two columns to pick out (x,y) points from the f(x) function. I'll pick the first two columns to select the points (-6,15) and (-4,11). Apply the slope formula to these two points to get...

m = (y2-y1)/(x2-x1)

m = (11-15)/(-4-(-6))

m = (11-15)/(-4+6)

m = -4/2

m = -2

Then use this m value along with any of the points of the table to determine the y intercept b. I'll use the point (-6,15)

y = mx+b

b = y-mx

b = 15-(-2)*(-6)

b = 15-12

b = 3

The y = mx+b equation becomes y = -2x+3 and that leads directly to the function f(x) = -2x+3.

Repeat all of those steps but do so for g(x) this time. I'll skip those steps over but you should get the function g(x) = 5x-6.

The y intercepts of f(x) and g(x) found were 3 and -6 respectively. Subtract those values to find the y intercept of h(x) = (f-g)(x) = f(x)-g(x).

So we get 3-(-6) = 3+6 = 9 which leads to the location (0, 9).

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Problem 2

---------------------

Explanation:

Through trial and error, the factor by grouping method, or using your graphing calculator, factor the denominator to get

g(x) = x^3+2x^2-x-2 = (x+2)(x+1)(x-1)

The factors (x+2), (x+1) and (x-1) lead to the roots of x = -2, x = -1, and x = 1 in that order. Those three roots of g(x) will make g(x) = 0 and cause a division by zero error in the denominator. So we must kick out those three values from the domain. Every other real number is allowed in the domain. So that's how we get the notation for choice A. It starts off saying x is a real number. Then it goes onto say that -2, -1 and 1 aren't allowed.

So overall the domain is described as: "x can be almost any real number except x cannot be -2, cannot be -1, and it cannot be 1".

Side note: We don't involve the numerator function at all.

=========================================================

Problem 3

---------------------

Explanation:

The height is x, which we can factor out like this

2x^3-5x^2-3x

2x^2*x - 5x*x - 3*x

x(2x^2-5x-3)

Effectively you would use the distribution rule in reverse.

Now let's factor the remaining expression in the parenthesis.

I'll use the factor by grouping method.

2x^2-5x-3

2x^2-6x+1x-3

(2x^2-6x) + (1x-3)

2x(x-3) + 1(x-3)

(2x+1)(x-3)

Therefore, the full factorization is

x(2x+1)(x-3)

which shows we have the dimensions of x, (2x+1) and (x-3). The order doesn't matter so we could easily have (2x+1) the length and (x-3) the width, or we could have it the other way around.

You can verify that (2x+1)(x-3) expands out to 2x^2-5x-3 using either the FOIL method or the box method.

Answer:

x = 11/7

Step-by-step explanation:

[tex]7x+6-2x=12x-7+2\\\\5x+6=12x-5\\\\5x+6-5x=12x-5-5x\\\\6=7x-5\\\\6+5=7x-5+5\\\\11=7x\\\\\frac{11}{7}=\frac{7x}{7}\\\\\frac{11}{7}=x[/tex]

Answer:

2

Step-by-step explanation:

The question askes what is k divided by m (k/m) when k is equal to 8 and m is equal to 4. So, plug the values into the original questions 8÷4.  This means that the number 8 is being split into 4 groups. When 8 is divided into 4 groups each group is left with 2. Therefore, the answer is 2.

Another way to solve this is to make a fraction. 8÷4 is the same as 8/4. If you simplify that fraction you also get 2.

Answer:

  13

Step-by-step explanation:

The average of any 5 consecutive numbers is the 3rd one (the middle one of the group). The third consecutive number starting from 11 is 13.

The average of {11, 12, 13, 14, 15} is 13.

Answer Ben plays video games for 1 1/2 hours per day for the 3 days

Step-by-step explanation:

He has (10 - 5 1/2) hours or 4 1/2 hours left to split evenly over the next 3 days.

Let D = #hours per day Ben plays, then

3D = 4 1/2

3D = 4.5

D = 4.5/3

D = 1.5

Answer:

9

Step-by-step explanation:

This is an example of an exponent. 9^4 means 9 is raised to itself 4 times.

If we break it down, it will look like: 9x9x9x9, which is 6561.

9⁴ =》9 multiplied by itself four times.

9⁴ = 9 × 9 × 9 × 9

9⁴ = 6561

_____

Hope it helps ⚜

A Perform the indicated operations. Show your solution in the given space below.

Answer:

C Negative Association

Step-by-step explanation:

Youll notice how the overall "line" of the graph goes down, the dots on the graph proceeding into the negative

Answer:

correct answer explained above

Answer:

0

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

500/50=10

50*10=500

Answer:

letter B po

Step-by-step explanation:

basta letter B may ganyan din kame eh

Answer:

3.75

Step-by-step explanation:

Answer: 3.34

REEEEEEEEEEEEEEEEEEEEEEEEE

If x = -2 satisfies the system, then

y = 4x + 10 = 4(-2) + 10 = -8 + 10 = 2

so that

y = mx - 4   ⇒   2 = -2m - 4

Solve for m :

2 = -2m - 4   ⇒   2m = -6   ⇒   m = -3

Answer:

check online for more information

Answer: The answer is the last option, Option D.

Answer:

The is answer is 19.1x8.6= 164.26

Step-by-step explanation:

Answer:

8 tablespoons1/2 cup4 ounces10 tablespoons plus 2 teaspoons2/3 cup5.2 ounces12 tablespoons3/4 cup6 ounces16 tablespoons1 cup8 ounces

Answer:

The answer is A im new to this id.k if you need help with the image or not sorry if that dosent answer your question but the answer is A for that picture.

Step-by-step explanation:

The equation of a line in point slope form is expressed according to the formula;

y-y0 = m(x-x0)

Given the following parameters

m = -3

(x0, y0) = (-4, 1)

Substitute into the formula above will givee;

y - 1 = -4(x+4)

y -1 = -4x - 16

y = -4x - 15

Next is to plot the graph of the line y = -4x - 15 on the coordinate plane as shown:

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Step-by-step explanation:

when the scale says 1:500000, then that means 1 unit in the map corresponds to 500000 units in reality.

and so, 3.2 cm on the map are

3.2 × 500000 cm in reality.

3.2 × 500000 = 1,600,000 cm = 16,000 m = 16 km

Answer:

479 = expected runs

0.220 = assumed batting average

Step-by-step explanation:

ˆy=−790+5400x

For an x value of 0.235, we have to calculate ˆy, or the predicted value. Plugging 0.235 in for x, we get

-790 + 5400 * 0.235 = 479

If ˆy = 400, we have to calculate x.  Plug 400 in for y in our equation to get

400 = -790 + 5400x

add 790 to both sides to isolate the x and its coefficient

1190 = 5400x

divide both sides by 5400 to solve for x

x= 0.220