What is the Slope of the line that passes through points (4, -2) and (3, 1)?

The amount he gets for lunch is an illustration of mean and averages.

He gets for lunch is $240 daily

Represent the amount he gets for lunch each day be x.

So, the amount saved each day is x/2

From Monday to Friday, the total savings would be 5x/2

So, we have:

[tex]\mathbf{\frac{5x}{2} = \$600}[/tex]

Multiply both sides by 2

[tex]\mathbf{5x = \$1200}[/tex]

Divide both sides by 5

[tex]\mathbf{x = \$240}[/tex]

Hence, the amount he gets for lunch is $240 daily

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Answer:

the first one

10+n = 3n

Step-by-step explanation:

n is the number

and 3n means 3*n

Answer:  the answer the first one 10+n=3n

Step-by-step explanation:

n is the number

and 3n means 3*n

Answer:

Step-by-step explanation:

a linear equation is of degree 1.

It is of degree 2 so it is not a linear equation.

x = 6 can be represented on the number line and hence it is real

Step-by-step explanation:

by simply plugging in 6 for x thus

x=6 becomes 6=6 which is true

Answer:

The number of teaspoons in 15 ml is 3 tsp.

Step-by-step explanation:

All you have to do is divide 15 by 5 and get 3. This is because for every 5 ml there is 1 tsp. So for the 15 ml, there is 3 tsp.

Answer:

y = x - 78

Step-by-step explanation:

y = x +-2 -76

y = x -78

Answer:

the line is perpendicular to what line you didn't mention that

Step-by-step explanation:

The required graph shows equation y = 10 + 4.50x which represents the total cost of sandwiches and delivery based on the number of sandwiches ordered.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let x represent the number of sandwiches and y represent the total cost.

Here is a graph of this equation:

y = 10 + 4.50x

This graph shows that the total cost of sandwiches and delivery is a straight line that increases by $4.50 for each additional sandwich ordered. The $10 delivery fee is the y-intercept of the line, which is the point where the line crosses the y-axis (when x = 0).

The slope of the line is 4.50, which indicates the change in the total cost for each unit change in the number of sandwiches.

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True

5 more than a number is an equation because you are adding two values.

Answer:

n+5

Step-by-step explanation:

If we choose the number to be n then 5 more than is 5 added to the number.

hence: n + 5

Answer:

[tex]\frac{25}{1000}[/tex] = 0.025

[tex]\frac{20}{50}[/tex] = 0.4

[tex]\frac{3}{50}[/tex] = 0.06

[tex]\frac{2}{3}[/tex] = 0.(66) or 0.66666666666666666

Answer:

[tex]D: y= -5x+12[/tex]

Step-by-step explanation:

Since the slope is -5 is either C or D. Let's replace [tex]x= 2[/tex] in either to see what we get.

C: [tex]-5(2)-2 = -12[/tex] Nope.

D: [tex]-5(2) +12 = 2[/tex] Good!

[tex]\dfrac{(2 x^{-3} y^{-2})^5}{(6x^{-1} y^{-8})^2}\\\\\\=\dfrac{32x^{-15} y^{-10}}{36 x^{-2} y^{-16}}\\\\\\=\dfrac{8}{9} \left(\dfrac{x^{-15}}{x^{-2}} \right) \left(\dfrac{y^{-10}}{y^{-16}} \right)\\\\\\=\dfrac 89 \left(x^{-15+2} \right) \left(y^{-10 +16} \right)\\\\\\=\dfrac 89 \cdot x^{-13} \cdot y^6\\\\\\=\dfrac{8y^6}{9x^{13}}[/tex]

Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

The graph is sketched at the end of this answer.

The Factor Theorem states that a polynomial function with roots is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem:

Then:

[tex]f(x) = a(x - 2)(x - 2)[/tex]

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

[tex]5 = a(12^2 - 4(12) + 4)[/tex]

[tex]100a = 5[/tex]

[tex]a = \frac{5}{100}[/tex]

[tex]a = 0.05[/tex]

Hence, the parabola is:

[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

At the end of this answer, the graph with five points is sketched.

A similar problem is given at https://brainly.com/question/24380382

Answer:

$7346.64

Step-by-step explanation:

Amount after 5years=P(1+r/100)^t

let A = amount after 5years

A=$5000(1+8/100)^5

A=$7346.64 to 2 decimal places

Answer:

x=4

y=5

Step-by-step explanation:

because this lines are all parallel, so 17x-y equals to 180°-117°= 63, then you get 17x-y = 63

also, equally you can get the below one

6x+7y = (180°-121°)

6x+7y = 59.

put them together

17x-y=63 (1)

6x+7y =59 (2)

you can transform the (1) to y= -(63-17x)

then you get the second one

6x+7(-(63-17x))=59

then you get x

finally you get the result of x into any of the equation

you get y ultimately.

Answer:

17

Step-by-step explanation:

g(7) = 2(7) +3

substitution

Answer:

x2\2+3\2=h/2 therefore x= -3\2+h\2

Answer:

y is 3,hmmmmmmmmmmmmmmm......aha! x= 46! hope this helps!

Step-by-step explanation:

Answer:

I will clear you.

Step-by-step explanation:

or,x/3-2<4

or,x/3<4+2

or,x<6/3

or,x<2

Answer:

x < 18

Step-by-step explanation:

You solve it like an equation.

First, isolate the x-value to one side by adding 2 to each side:

x/3 - 2 + 2 < 4 + 2

The twos on the left side cancel out:

x/3 < 6

Now multiply both sides by 3:

x/3 x 3 < 6 x 3

The threes on the left side cancel out, leaving you with the x-value:

x < 18

Hope this makes sense :)

Answer:

D

last one

Step-by-step explanation:

Answer: y = -48/7 + 4x/7

Answer:

243/16

Step-by-step explanation:

we have a1 = 2

r = 3/2

n = 6

The 6th term of the geometric sequence is 243/16

The given parameters are:

[tex]a = 2[/tex] --- the first term

[tex]r = 3/2[/tex] --- the common ratio

The nth term of a geometric sequence is:

[tex]T_n = ar^{n-1[/tex]

So, the 6th term would be:

[tex]T_6 = 2 \times (3/2)^{6-1[/tex]

Subtract 1 from 6

[tex]T_6 = 2 \times (3/2)^5[/tex]

Evaluate the exponent

[tex]T_6 = 2 \times (243/32)[/tex]

Simplify

[tex]T_6 = 243/16[/tex]

Hence, the 6th term of the geometric sequence is 243/16

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Answer:

m = -3

c = 2

Step-by-step explanation:

if m = slope and c = y-intercept:

Convert to slope - intercept form : y = mx + b, or y = mx + c

2y + 6x = 4

2y = -6x + 4

y = -3x + 2

(m)Slope = -3

(c)y - intercept = 2

-Chetan K

Answer:9/12

Step-by-step explanation:

You need to make the denominators the same. Multiply the 1/3 by 4 and now you are ready. You add 4/12 and 5/12 together. 9/12 houses on her block are pink/red. You can also simply it down to 3/4.

Answer:

$3.07

Step-by-step explanation:

First add up all of the costs:

3.49+3.49+2.79+2.79+2.79=15.35

Then divide this by the 5 friends:

15.35÷5=3.07

Answer:

Pentagon (the 5 sided shape) = 1

Cross-looking shape = 6

Star = 8

Square/Rectangle = 5

Hope this helps!

Solving a linear equation we can see that Paxton was a member for 5 months.

We know that the local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month, then the cost for x months is modeled by the linear function.

f(x)= 18.25 + x*17.50

We know that Paxton paid $105.75, then we need to solve the equation:

105.75 = 18.25 + x*17.50

Solving that for x we will get:

105.75 - 18.25 = x*17.50

87.50/17.50 = x

5 = x

Paxton was a memeber for 5 months.

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