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
chubhunter [2.5K]
3 years ago
10

1.) Is (0, 3) a solution to the equation y= x+3

Mathematics
2 answers:
Delvig [45]3 years ago
8 0
1. yes
2. no
3. (4,0) and (3,-1)
4. 8 crackers in 1 serving....so in 12 servings, there is (12 * 8) = 96 crackers
5. x + 5 = 10 (open equation)
6. ?
7. y = 1.5x....y being the cost of the pizza and x being the number of slices
abruzzese [7]3 years ago
6 0

1. The answer is Yes


The equation:

y=x+3

represents a <em>straight line </em>with slope m=1 and y-intercept b=3. To know if the point (0,3) is a solution to the equation, let's substitute the x and y coordinates into the equation, therefore:

(3)=(0)+3 \\ \\ \therefore 3=3 \ True!


Since our result is true, this point is a solution to the equation.


2. The answer is No


The equation:

y=-2x

represents a <em>straight line </em>with slope m=-2 and no y-intercept, that is, it passes through the origin. By substituting this point into the equation:

(-4)=-2(1) \\ \\ \therefore -4=-2 \ False!


Since our result is false, this point is not a solution to the equation.


3. In this problem, we have four points, so let's solve it step by step. Our equation is:

y=x-4

and represents a <em>straight line </em>with slope m=1 and y-intercept b=-4


3.1 <u>For the point</u> (4, 0)

<em>This point is a solution to the equation y = x - 4</em>


By substituting this point into the equation, we have:

y=x-4 \\ \\ \therefore (0)=(4)-4 \\ \\ \therefore 0=0 \ True!


Since our result is true, this point is a solution to the equation.


3.2 <u>For the point</u> (3, -1)

<em>This point is a solution to the equation y = x - 4</em>


By substituting this point into the equation, we have:

y=x-4 \\ \\ \therefore (-1)=(3)-4 \\ \\ \therefore -1=-1 \ True!


Since our result is true, this point is a solution to the equation.


3.3 <u>For the point</u> (6, 3)

<em>This point is not a solution to the equation y = x - 4</em>


By substituting this point into the equation, we have:

y=x-4 \\ \\ \therefore (3)=(6)-4 \\ \\ \therefore 3=2 \ False!


Since our result is false, this point is not a solution to the equation.


3.4 <u>For the point</u> (2, -4)

<em>This point is not a solution to the equation y = x - 4</em>


By substituting this point into the equation, we have:

y=x-4 \\ \\ \therefore (-4)=(2)-4 \\ \\ \therefore -4=-2 \ False!


Since our result is false, this point is not a solution to the equation.


4. In this problem we have:

  • There are 8 crackers in 1 serving.
  • There are 16 crackers in 2 servings.
  • There are 24 crackers in 3 servings, and so on.

So, there is a <em>linear relationship</em> between crackers and servings. Thus, it is easy to write a linear equation like this:

y=8x \\ \\ \\ where: \\ \\ y:Represents \ crackers \\ \\ x:Represents \ servings


Therefore, for x = 12 servings, we have:

y=8(12)=96


Finally:

<em>There are 96 crackers in 12 servings</em>


5. An open equation is an equation containing one or more <em>variables </em>such that the <em>truth or falsehood </em>of the equation depends on the values of the variables assumed in a specific instance. An example of an open equation is:

2x-16=-2


  • If x = 7

2(7)-16=-2 \\ \\ \therefore -2=-2 \ True!


For this particular x-value, the equation is true.


  • If x = 3

2(3)-16=-2 \\ \\ \therefore -10=-2 \ False!

For this particular x-value, the equation is false.


So, we can conclude that this equation is  only  true  when  x = 7


6. Equations can be used to model and solve  real-life problems. In this way, we can make predictions from an equation that models a real-life situation. For instance, a kitchen an <em>appliance manufacturing company </em>can determine the total cost in  dollars of producing units of a blender by using the equation:


C=20x+2500


Thus, the cost of producing zero units is $2500, found by the y-intercept, that is the fixed cost of production. It includes costs that must be paid regardless  of the number of units produced. The slope m=20 means that the cost of  producing each unit is $20, called by the Economists <em>the marginal cost </em>(cost per unit).


7. In this exercise, pizza costs $1.50 per slice. This can be modeled by the following equation:


C=1.50s \\ \\ \\ where: \\ \\ s:Represents \ the \ number \ of \ slices \\ \\ C:Represents \ the \ total \ cost


This can be represented by the following Table as well:

\begin{array}{cc}&#10;s(slices) & C(\$)\\&#10;1 & 1.50\\&#10;2 & 3.00\\&#10;3 & 4.50\\&#10;4 & 6.00\\&#10;5 & 7.50&#10;\end{array}


So, in this Table we have indicated the total cost up to 5 slices of pizza.

You might be interested in
Identify parallel and perpendicular lines
Nana76 [90]

Parallel lines are those on a plane that do not intersect while perpendicular lines are those that intersect at an angle of 90°.

<h3 /><h3>How are parallel and perpendicular lines different?</h3>

Parallel lines will never intersect with each other and will maintain the same distance from each other for as long as they are on the same plane.

Perpendicular lines on the other hand will intersect each other and will do so at a 90° angle. An example of such a line is the steps on a ladder which intersect the beam at a 90° angle.

Find out more on parallel lines at brainly.com/question/24607467.

#SPJ1

7 0
2 years ago
I've been on this problem for about 10 minutes.
muminat
276.675 or round it to 276.68
8 0
3 years ago
Read 2 more answers
The International Business Club starts the school year with $250.50 in their account. They spend $35 each month on activities. T
svlad2 [7]

Answer:

250.50 - 35m = 300 - 45.25m

Step-by-step explanation:

Whenever an equation asks for when it will take x (or m in this case) amount of things or time you should know that there will be 2 different equations that have to equal each other

The equation will be 250.50 - 35m = 300 - 45.25m

The 35m is being subtracted from 250.50 because they are losing money each time they spend. This also applies to 45.25m

Also 35m and 45.25m are variables because it says they spend that much money each month. They don't specify how many months, so we have to put a variable after it.

7 0
3 years ago
If Bart has 20$ and Andy took $19.65 how much does Bart have
Helen [10]

Answer:

well bart has 20.00

andy took      19.65

Step-by-step explanation:

subtract 20.00\\-19.65\\\\_______\\0.35

your answer should be 0.35

8 0
3 years ago
John has 12 pounds of dog food and is going to separate it into 3/4 pound portions. How many portions of dog food will he have?
NNADVOKAT [17]

16 portions

explanation:

12 / 3/4

   = 12 * 4/3 

= 4*4 = 16

7 0
2 years ago
Other questions:
  • 40 % of what amount is $256?
    14·1 answer
  • Twelve students were asked how long they spent doing homework last week. The scatter plot shows the results of the survey.
    8·1 answer
  • Traveling at 65 miles/hr how many minutes will it take to drive 125 miles
    10·1 answer
  • Which of the following is not shown on the scatter plot
    6·1 answer
  • Plz help me !!!!!!!!
    11·1 answer
  • I need help please !!!!
    12·1 answer
  • BRAINLIESTTT ASAP!!! PLEASE ANSWER :)<br> Explain your answer.
    6·2 answers
  • Estimate the total weight of two million pounds worth of two pence coins in kilograms. A two pence coin weighs 7.1g.
    11·1 answer
  • A ball rebounds 70% of its original height. It is dropped from an initial height of 400 cm.
    6·1 answer
  • What is the sum? 4(^5sqrt x^2y)+3(^5sqrt x^2y)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!