<span>y = slope*x + y-intercept;
</span>We can rewrite our equation in a shorter form : y = mx + b;
y = x + 2 ; m1 = 2 and b1 = 2;
y = -x + 6; m2 = -1 and b2 = 6;
<span>Set the two equations for y equal to each other:
</span>x + 2 = -x + 6 ;
<span>Solve for x. This will be the x-coordinate for the point of intersection:
</span>2x = 4;
x = 2;
<span>Use this x-coordinate and plug it into either of the original equations for the lines and solve for y. This will be the y-coordinate of the point of intersection:
</span>y = 2 + 2 ;
y = 4;
<span>The point of intersection for these two lines is (2 , 4).</span>
In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.
The least common denominator of 3 and 4 is 12. This means that we have to change both fractions into equal fractions with denominators of 12.
To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions. We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8
Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.
If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.
Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school. Because they have the same denominator, we can just compare the numerators. We know that 8 is greater than 6, thus Luis skates farther to get to school.
Answer:
Hola Amigos De Brainly les quiero pedir de su ayuda para resolver esta actividad El tema es ecuaciones cuadráticas y necesito que me ayuden POR FAVOR.
Answer:
It would take a PlayStation 5 and 2 games to equal an Xbox and 10 games.
Step-by-step explanation:
I made a list that increase in the increments of the game price.
Something like this:
900—400~consoles alone
950—460~1 game
1000–520~2 games
1050—580~3 games
1100—640~4 games
1150—700~5 games
1200—760~6 games
1250—820~7 games
1300—880~8 games
1350—940~9 games
1400—1000~10 games
Left side is PlayStation 5 and right side is Xbox. The first row is the price of the consoles alone and then each row after that is the price of the console with an additional game. As you can see, the third row down on the left, the PlayStation 5 with 2 games is $1,000. If you look at the eleventh row on the right, you can see that Xbox with 10 games is also $1,000
Given:
Free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.
Each bucket of ice cream costs $7.28
Each bucket of frozen yogurt costs $8.21.
To find:
The inequality represents number of ice cream and frozen yogurt that she may buy in addition to get a free ice cream maker.
Solution:
Let i be the number of buckets of ice cream and y be the number of buckets of frozen yogurt.
According to the question, total amount spend on both must be greater than or equal to $100 to get a free ice cream maker.
Divide both sides by 8.21.
Therefore, the required inequality is .
