Answer:
4
Step-by-step explanation:
Let's start with the easiest bits.
We know the probability of drawing a red card is 1/4, this means every four cards there is one red. So, 12/4 = 3, there are 3 red cards in the 12 card pile.
Next, we are also given the probability of drawing a blue card us 1/12. In the same fashion, we can figure out there is 1 blue card.
Finally, we are told the probability of drawing a green card is the same as drawing a yellow card. Therefore there is the same amount of green cards as yellow.
There are 8 cards left that are green or yellow, as 12 - 1 - 3 is 8. 8/2 is 4, so there are 4 green cards in the box.
Hope this helps!
The factored form of the expression is (2x-1)(2x+5) and the x-intercept of the function is 1/4 and -5/2 respectively
<h3>Solving quadratic equation</h3>
Quadratic equations are equations that has a leading degree of 2. Given the quadratic equation below;
y = 4x^2 + 8x -5
The x-intercept is the point where the value of y is zero.
Factorize the resulting expression
y = 4x^2 + 8x -5
y = 4x^2 - 2x + 10x -5
y = 2x(2x-1)+5(2x -1)
y = (2x-1)(2x+5)
The factored form of the expression is (2x-1)(2x+5)
Equate the given factors to zero
(2x-1)(2x+5) = 0
Equate the factors to zero
2x - 1 = 0
2x = 1
x = 1/4
Similarly
2x + 5 = 0
2x = -5
x = -5/2
Hence the x-intercept of the function is 1/4 and -5/2 respectively
C) For the end behavior, as the value of x tends to infinity, hence the y-values tends to infinity
D) In order to plot the graph, the x-intercepts of the will be plotted on the graph and then curve will be created.
Learn more on quadratic equation here: brainly.com/question/1214333
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Answer:
if 5x+2=12 then x=5
Step-by-step explanation:
5x+2=12
5x=10
10/2
x=5
Lets have 4x acres of soybeans , then it is going to be 9x acres of corn
(4x/9x=4/9)
Altogether we have (4x+9x) acres
Altogether he planted 400 acres
So, we can write
4x+9x=400
13x=400
x=400/13
4x acres of soybeans
4*400/13≈123 acres of soybeans
