We need to find the probability of the card chosen at random is yellow or brown.
So, since there are 3 yellow cards and 7 brown cards, the total numbers of cards that are yellow or brown is:

Now, the probability that the chosen card is yellow or brown can be found by dividing the above value by the total number of cards in the box.
The total number of cards in the box is:

Thus, that probability is given by:

Therefore, the answer is:
The value of x is 1.14 or x = -1.47
We find the value of x in the quadratic equation 3x^2 +x-5=0
Using the formula: (-b ± √ (b²- 4 a c)) / (2a)
Where the value of a = 3, b = 1 and c = -5
Substituting the above values (a = 3, b = 1 and c = -5)
in the formula:
(-1 ± √ (1²- 4 3 (-5))) / (2*3)
= (-1 ± √ (1+60)) / (6)
= (-1 ± √ (61)) / (6)
= (-1 ± 7.81) / (6)
= (-1 + 7.81) / (6) or (-1 -7.81) / (6)
= (6.81) / (6) or (-8.81) / (6)
=1.135 or -1.468
Hence the value of x= 1.14 or -1.47
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Answer:
The y-intercept is the point (0,-8)
see the attached figure
Step-by-step explanation:
we have

we know that
The y-intercept is the value of the function f(x) when the value of x is equal to zero
so
For x=0

therefore
The y-intercept is the point (0,-8)
see the attached figure to better understand the problem
B, the $1.50 is a fixed number, but the additional $0.75 varies on how many miles travelled (x).
Answer:
The second option will cost her less than the first one.
Step-by-step explanation:
In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.
For the first option we have:

For the second option we have:

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:


The second option will cost her less than the first one.