Answer:
The equation has no solution; therefore, the system of equations has no solution
Step-by-step explanation:
we have
-----> equation A
-----> equation B
we know that
If after applying the linear combination method, Heather arrived at the equation 0 = 60
then
The reason is because both lines are parallel, therefore the system of equations has no solutions
<u>Verify</u>
isolate the variable y in the equation A
--------> the slope is 1/3
isolate the variable y in the equation B
--------> the slope is 1/3
Remember that
If the slopes are equal the lines are parallel
so
The system of equations has no solutions
This is probably the hardest question I've ever had to answer. I'm going to take a wild guess and say 2?????
Equation of the parabola: y = ax^2 + bx + c. Find a, b, and c.
x of axis of symmetry:
x
=
−
b
2
a
=
3
-> b = -6a
Writing that the graph passing at point (1, 0) and point (4, -3):
(1) 0 = a + b + c -> c = - a - b = - a + 6a = 5a
(2) -3 = 16a + 4b + c --> -3 = 16a - 24a + 5a = -3a --> a = 1
b = -6a = -6; and c = 5a = 5
y
=
x
2
−
6
x
+
5
Check with x = 1: -> y = 1 - 6 + 5 = 0. OK
Answer:
1.) B
2.) B
Step-by-step explanation:
Number 1 is B bc rapid population in Mexico is caused by the economy improving.
Number 2 is B bc if there was one political party , there would be little opposition in the government. It basically means disaster.
The number of bananas required to make the third scale balance is 3.
<h3>What is a scale?</h3>
A scale is a tool used for weighting objects. If the objects on each side weigh the same the scale is balanced. Based on this, let's determine the possible weight of each fruit to balance the last scale.
- Scale 1 (10 bananas/ 2 pineapples)
It is known 10 bananas weigh as much as 2 apples, but to solve this problem let's assume 10 bananas weigh a total of 1000 grams.
- 10 banans = 1000 grams = each banana weighs 100 grams
- 2 pineapples = 1000 grams = each pineapple weighs 500 grams
Scale 2 ( 1 pineapple / 2 bananas, 1 apple)
Using the same imaginary weights let's find the weight of the apple.
- 1 pineapple = 500 grams
- 2 bananas = 200 grams
- 1 apple = 300 grams (500 - 200 = 300)
Scale 3 (1 apple /x )
We know 1 apple is equal to 300 grams and 1 banana is equal to 100 grams. Based on this, the number of bananas to balance the scale is 3.
Learn more about balance in: brainly.com/question/7181548
