Answer:
As we see, the quadratic formula, which is a formula that is used to solve quadratic equations, can easily come up in real-life situations. ... A quadratic equation is an equation that can be put in the form ax2 + bx + c = 0, where the highest exponent is 2.Every parabola has an axis of symmetry which is the line that divides the graph into two perfect halves.
Like the ellipse the parabola and its applications can be seen extensively in the world around us. The shape of car headlights, mirrors in reflecting telescopes and television and radio antennae are examples of the applications of parabolas.arabolas have different features too. If a material that reflects light is shaped like a parabola, the light rays parallel to its axis of symmetry will be reflected to its focus, irrespective of where the reflection occurs. Conversely, if the light comes from the focus, it will get reflected as a parallel beam that is parallel to the axis of symmetry. These principles work for light, sound, and other forms. This property is very useful in all the examples seen in the real world.
Answer: Barbara did not include a variable in the term
, which must represents the number of bottles of iced tea she needs to sell.
Step-by-step explanation:
Let be "x" the number of bottle of water Barbara needs to sell and "y" the number of bottle of iced tea she needs to sell.
She sells iced tea for $1.49 per bottle and water for $1.25 per bottle, so she can write the following equation in order to calculate the number of bottles she needs to sell to earn $100:

Since Barbara wrote this equation:

We can conclude that the error Barbara made in writing the equation was: She did not include a variable in the term
, which must represents the number of bottles of iced tea she needs to sell.
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit
"The sum of the digits is 5"
x + y = 5
The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]
The number is: 10x + y
3(10x + y) = 42
The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42
Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out
-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1
then plug x = 1 into either equation to find y
1 + y = 5
y = 4
remember the x and y represent digits so the number xy is 14
Answer:3/20
Step-by-step explanation:
Heads=Boy
Tails=Girl
If the first 3 students are boys, all 3 coins must be heads.
Because in 3 of these experiments, the coins all land on heads, and there are 20 experiments completed, 3 out of the 20 experiments are 3 boys; 3/20.
Answer:
y=6
Step-by-step explanation:
y=3-x
x=-3
y=3-(-3)
y= 3+3
y=6