1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RoseWind [281]
2 years ago
10

I need help with this problem, if you could describe how to do it thats fine aswell, but im a little confused with this

Mathematics
2 answers:
iVinArrow [24]2 years ago
7 0
The slope is 5/1 because u find a point (4,20) and then like “simplify” it, 1/

he would charge $4 for half a gallon of milk
Ratling [72]2 years ago
5 0

Answer:

That it's confusing to you is understandable, these problems are confusing, They take a bunch of real world things and put it into abstract concepts. The graph of the line is just that, an idea of how math represents the cost of the milk.

Step-by-step explanation:

the graph you are given is a straight line, not all graphs are straight lines, but b/c it's a straight line we get to "categorize" it as linear.  linear graphs are nice to work with,  as compared to curvey  ones.  aka  non-linear. There are a few famous formulas that go along with linear graphs.  Remember graphs are just representations of info in a way that we can use math to understand that real thing in abstract ways.  

the problem asks what is the slope of the line.  Think of the idea of a mountain slope here,  when we look at the graph.. and move over it like we would read,  from left to right, the graph moves up hill.. or positive,  so this graph is a positive slope graph.  now we just need to figure out a way to say that with numbers.  

often times slope is represented with the variable 'm' .  why 'm' you ask?  it's just a convention, it's not important which letter you use to represent slope but by convention we use 'm'   There is a formula for slope that goes like this,

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

we can use that to find the slope of this line, but we already know it's positive just by quickly looking at the graph.

the x's and y's in the formula are the x and y points of some exact point on the graph that we can find just by looking at the graph. :)  yes we get to make our own points.  P1  and P2  ( point 1  and point 2)

somebody has already made two nice black dots, on your graph for you, let's use those two black dots, you don't have to, but those do look convenient.  :)

using those two black dots and going from left to right.. I see the 1st point as P1 = (x1,y1) =( 2,10)  and the second point as P2 = (x2,y2) = (4,20)

then plug those into the above fomula

m = (20-10) / (4-2)

m = 10 / 2

m = 5

yep,  it's positive and steep up , that the answer to (a)

for (b)

we just need the formula called the point slope

y = mx + b

since we know m

y = 5x + b

for use b = 0

so just

y = 5x

now plug in x= 1/2, for the 1/2 gallon of milk

y = 5(1/2)

y = 2/5  

that's (b)  :)

You might be interested in
Pythagorean stack how long is this side
Alika [10]
Pythagorean stack i believe its 23 on the side
6 0
3 years ago
Haley substituted the values of a, b, and c into the quadratic formula below.
Marysya12 [62]
The quadratic formula is x equals negative b plus or minus the square root of b squared minus four times a times c, all over 2a. 
Looking at the equation, we can find the values for a, b, and c
a=7
b= -10
c= -2

So then putting that back into standard form, which is ax^2+bx+c, we know Haley's function in standard form is 7x^2-10x-2
7 0
3 years ago
Read 2 more answers
Katya treated everyone in theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before
sweet-ann [11.9K]

let the price of pizza and soda( per 2 litre bottle) be x and y

from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y =11.95.......(2)

multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6

2x+2y= 23.9

10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6

So the prices of  the pizza and soda are 11.37 and 0.6 dollars.

4 0
2 years ago
Look at the picture<br>​
Sonbull [250]

\large\displaystyle\text{$\begin{gathered}\sf 9|x-8| < 36 \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf Divide \ both \ sides \ by \ 9. \end{gathered}$}

  • \large\displaystyle\text{$\begin{gathered}\sf  \frac{9(|x-8|)}{9} < \frac{36}{9}   \end{gathered}$}
  • \large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf Solve \ Absolute \ Value. \end{gathered}$}

  • \large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf We \ know \ x-8 < 4 \ and \ x-8 > -4 \end{gathered}$}

<u>                                                                                                                             </u>

         \large\displaystyle\text{$\begin{gathered}\sf x-8 < 4 \ (Condition \ 1) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 < 4+8 \ (Add \ 8 \ to \ both \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x < 12 \end{gathered}$}

<u>                                                                                                                             </u>

           \large\displaystyle\text{$\begin{gathered}\sf x-8 > -4 \ (Condition \ 2) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 > -4+8 \ (Add \ 8 \ to \ both \ \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x > 4 \end{gathered}$}

<u>                                                                                                                             </u>

<u />\underline{\boldsymbol{\sf{Answer}}}

\boxed{\large\displaystyle\text{$\begin{gathered}\sf x < 12 \ and \ x > 4 \end{gathered}$} }

\large\displaystyle\text{$\begin{gathered}\sf Therefore,\bf{\underline{the \  correct \ option}} \  \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{"A"}}. \end{gathered}$}

6 0
2 years ago
Which expression represents the distance between the points (11, 4) and (5,8)?
antiseptic1488 [7]

Answer:

\displaystyle d = 2\sqrt{13}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (11, 4) → x₁ = 11, y₁ = 4

Point (5, 8) → x₂ = 5, y₂ = 8

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                       \displaystyle d = \sqrt{(5-11)^2+(8-4)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                 \displaystyle d = \sqrt{(-6)^2+(4)^2}
  3. [√Radical] Evaluate exponents:                                                                    \displaystyle d = \sqrt{36+16}
  4. [√Radical] Add:                                                                                               \displaystyle d = \sqrt{52}
  5. [√Radical] Simplify:                                                                                         \displaystyle d = 2\sqrt{13}
4 0
3 years ago
Other questions:
  • Which equation best represents a trend line for the scatter plot?
    7·1 answer
  • Two consecutive even integers have a sum of 46
    10·2 answers
  • From Environment Canada: "Our experts on weather and climate have combed through 45 years of weather records, and determined the
    13·2 answers
  • Algebra mOZP = 4r + 2, mPZQ = 5r  12, and mOZQ = 125. What are mOZP and<br> mPZQ?
    11·1 answer
  • Kevin is responsible for delivering sacks of grains to a grocery shop on the tenth floor of a departmental store. Each sack weig
    13·1 answer
  • Management at a seaside resort is publishing a brochure and wants to include a statement about the proportion of clear days duri
    12·1 answer
  • In the exercises 6-14, X=12, Y=10, Z=24. write each ratio in simplest form
    6·1 answer
  • Find the x in the circle O. HELP QUICKLY PLS
    12·1 answer
  • Answer this for me please!
    7·1 answer
  • What is the axis of symmetry for the parabola created by the equation below?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!