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
at a sale, dresses were sold for $10 each. if the dresses originally cost $200 each, what percentage of its original price was a
Varvara68 [4.7K]

Answer:

5%

Step-by-step explanation:

10/200 = .05

.05 = 5%

7 0
2 years ago
Read 2 more answers
Which of the following is the proper name for the figure below?<br> 7<br> Y<br> X
VMariaS [17]

Answer:

B

Step-by-step explanation:

When you look at the triangle look at the 3 vertices. Now look at you answers given and choose one that combines all 3 vertices. You don't want your answer to contain a letter/number that represents the length of a side.

So in this case you don't want M or Y in you answer.

Your answer has to be made up of A X andT.

The only answer that uses AXT is answer B.

3 0
3 years ago
Angie and Kenny play online video games. Angie buys 2 software packages and 3 months of game play. Kenny buys 1 software package
Natali [406]
<span>$15 Write down some equations that express what you know. A = 2*30 + 3x K = 1*30 + 5x A+K = 210 Substitute the expression for A in the A+K=210 expression 2*30 +3x + K = 210 Now substitute the expression for for K 2*30 + 3x + 1*30 + 5x = 210 Multiply and combine terms 60 + 3x + 30 + 5x = 210 90 + 8x = 210 Subtract 90 from both sides 8x = 120 Divide both sides by 8 x = 120/8 = 15 The cost of one month of game play is $15</span>
3 0
3 years ago
HELP 20 POINTS
Nady [450]

Answer:

6^2 + 5^2 = d^2

Step-by-step explanation:

I hope this helps!!

7 0
3 years ago
At a shelter 15% of dogs are puppies there are 60 dogs at the shelter
RSB [31]
9 of the dogs at the shelter are puppies.
6 0
3 years ago
Other questions:
  • What's two equivalent from of 3/5
    9·2 answers
  • Look at picture for question and answer
    5·1 answer
  • An educator wants to determine whether a new curriculum significantly improves standardized test scores for students. she random
    7·2 answers
  • The ratio of incorrect to correct answers on Marco's math test was 4 to 6. If Marco missed 39 problems, how many did he get corr
    14·1 answer
  • Simplify –2x3y × xy 2.
    13·2 answers
  • Can anyone solve this question please
    6·1 answer
  • A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
    7·1 answer
  • Which point represents – 12 on the number line?
    13·2 answers
  • What is the perimeter of this given figure<br><br>pahelp po. thank you​
    6·2 answers
  • What are the measurements of a c and b​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!