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sineoko [7]
3 years ago
8

Without sketching the graph, find the x intercepts and y-intercepts of the graph of the equation 2x+3y=12 What isjare the x-inte

rcept(s)? Select the correct choice below and, il necessary, il in the answer box within your choice ? A. The x intercept(s) isare? O B. There are no x-intercepts (Type an integer or a simplifted fraction Use a comma to separate answers as needed ) Click to select and enter your answeris) and then click Check Answer Clear All 0
Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

x-intercept: (6,0)

y-intercept:  (0,4)

Step-by-step explanation:

The x-intercepts lay on the x-axis and therefore their y-coordinate is 0.

To find the x-intercept, you set y to 0 and solve for x.

2x+3y=12

Set y=0.

2x+3(0)=12

2x+0    =12

2x         =12

Divide both sides by 2:

 x          =12/2

 x          =6

The x-intercept is (x,y)=(6,0).

The y-intercepts lay on the y-axis and therefore their x-coordinate is 0.

To find the y-intercept, you set x to 0 solve for y.

2x+3y=12

2(0)+3y=12

0+3y    =12

3y         =12

Divide both sides by 3:

 y          =12/3

 y           =4

The y-intercept is (0,4).

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Dave loves underwater diving. His house boat is 250 feet above sea level. He jumped from that level. He went 600 feet below sea
nikklg [1K]

Answer:

<h3>600 feet</h3>

Step-by-step explanation:

<u>I would just like to explain how this works with a visual (please enjoy my drawing <3 haha)</u>

With my drawing we know that the bird is 150 feet above sea level, and the fish is 100 feet below sea level.

From the bird to the water it is 150 feet, from water to fish is 100 feet

<u>From</u><u> the </u><u>bird</u><u> to the</u><u> fish</u><u> it is </u><u>150 feet + 100 feet</u>

<h3>This is equal to 250 feet, </h3>

so we know from the bird (150 feet above sea level) to the fish(100 feet below sea level).

<h2>Knowing this information we can easily answer this question</h2><h3>Dave is 250 feet above sea level, and he went 600 feet nelow sea level, meaning<u> he only went 600 feet under the water.</u></h3>
Download pdf
7 0
2 years ago
When sizes of pizzas are quoted in inches, the number quoted is the diameter of the pizza. A restaurant advertises an 8-inch “pe
mariarad [96]

Answer:

yes because if they want a bigger pizza or more they can just buy 2 eight inch pizza

Step-by-step explanation:

pizza is lit

8 0
2 years ago
Write the contrapositive and the converse of the following conditional
Lunna [17]

The contrapositive statement are:

  • If the lake is frozen, then it isn't cold.
  • If Solomon is happy, then  he isn't healthy.
  • If Tigist  does not take a walk, then it will not rain

<h3>What is the converse statement?</h3>

The  converse statement are:

  • If the late is frozen, then it is cold.
  • If Solomon is happy, then he is healthy.
  • If Tigist Tigist  does not take a walk, then it will rain.

Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.

Therefore, The contrapositive statement are

  • If the lake is frozen, then it isn't cold.
  • If Solomon is happy, then  he isn't healthy.
  • If Tigist  does not take a walk, then it will not rain

Learn more about contrapositive statement  from

brainly.com/question/1713053

#SPJ1

6 0
2 years ago
Read 2 more answers
Amelia is using substitution to determine if 8 is a solution to the equation. Complete the statements. 6a = 42 for a = 8 First,
Tju [1.3M]

Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.

<h3>What is algebraic expression?</h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Amelia is using substitution to determine if 8 is a solution to the equation.  The equation which is Amelia is solving  for a = 8 is,

6a = 42

First, Amelia must substitute 8 for the variable using parentheses as,

6(8) = 42

To simplify, Amelia must. multiply 8 by 6.

48 \neq 42

The left hand side of the eqqation is not equal to the right hand side. Thus, 8 is not a solution of the equation.

Thus, Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.

Learn more about the algebraic expression here;

brainly.com/question/2164351

4 0
2 years ago
How to solve this problem
Agata [3.3K]
So first, you have to get two of the same variables to cancel out. Let's do this for x. In order for the x's to cancel out, we could multiply the bottom problem by 2.
(2) 3x-6y=24
After multiplying all the numbers by 2, you get the equation 6x-12y=48
The set of equations is now
-6x+2y=12
6x-12y=48
Now you can add them. The x variables cancel out, so you are left with the y variable.
2y+-12y=-10y and 12+48=60
Then you would divide 60 by -10 to get y=-6.
You would plug the answer for y into one of the original equations, lets do the top one. -6x+2y=12 becomes -6x+2(-6)=12
You'd multiply the 2 and -6 to get -12 so the equation is
-6x-12=12
The negative 12 turn positive and you add to both sides to get the -6x alone.
-6x-12=12
+12=12
-6x=24
Then divide 24 by -6
X=4

(-4,-6) is your final answer.
7 0
3 years ago
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