You need to note first two things.
1. The function f(x) need to be a continuous function on [-3,-1] (indeed f(x) is a polynomial function, is continuous on every real number x)
2. Take the closed interval [-3,-1]
Now, evaluate f(-3) and f(-1).
So, we have f(-3) < 0 and f(-1). So, 
, then by the Intermediate Value Theorem, there exist 
such that 
.
Hey there!
Point D is located at point (5, -2)
In coordinates, the first number represents the x-coordinate, and the second number represents the y-coordinate. (TIP: YOU MUST START AT THE ORIGIN, OR (0, 0). In the x-coordinate, you go left/right that number of spaces, left for negative and right for positive. For the y-coordinate, you go up/down that number of spaces, down for negative and up for positive. This means that the point (5, -2) is 5 units right and 2 units down, which lands on point D.
Hope it helps and have an amazing day!
2.5 miles per hour
Because 3/4 divided by 3/10 is equal to 2.5
1. -35x+710 = -25x+570
-10x=-140
x=14
In 14 weeks, Pedro and Maria's accounts will have the same amount.
2. 9x+90 = 13x+50
-4x=-40
x=10
For 10 square yards of carpeting will the cost be the same for both stores.
3. 0.06x+44 = 0.09x+35
-0.09x= -9
x=100
For 100 miles both companies will charge the same price.
4. 15x+250 = 20x+200
-5x= -50
x= 10
It will take 10 weeks for the amount in each savings account to be the same.
5. 25x+250 = 50x
-25x = -250
x = 10
10 stereos must be sold to make the same amount of money under both plans.
Hope this helps!
Answer: A
Step-by-step explanation:
The first thing we need to do is to make sure our equation is in standard form. The given equation is not in standard form.
3x²-2x=0
Now that the equation is in standard form, we can find our A, B, C to see which quadratic equation is correct.
A=3
B=-2
C=0
We can automatically eliminate D because the first value is -3 when it is supposed to be -(-2). Also, the denominator is supposed to be 2a. We know that A=3. The denominator should be 2(3), not 2(-2).
Next, we can eliminate B and C. For the 4ac, we know it has to be 4(3)(0) because A=3 and C=0. B and C have given 4(3)(2) and 4(3)(1), respectively. This does not match A=3 and C=0.
Therefore, A is the correct answer.
