<h3>Answer: True</h3>
Explanation:
Imagine that f(x) was a road without any gaps. The road can be straight or it can be curved somehow.
Now imagine that a horizontal line is the border between two countries. The country up north is the positive country and the southern country is negative.
f(1) > 0 means we're in the northern country since f(x) is positive here
then f(3) < 0 means we're now in the southern negative country
Somewhere along the road we must have crossed the border at least one time. This must be the case because the road does not have any gaps in it and we cannot teleport. This is what it means to be a continuous function. To draw a continuous curve, you cannot lift your pencil up.
So because f(x) transitions from positive to negative, this means f(x) = 0 at some point at least once. So that's why there exists a c such that f(c) = 0
Ok let’s solve it
5(x-2)^2-20=0
first let’s foil (x-2)
5(x^2-4x+4) -20=0
now distribute the 5
5x^2 -20x +20 -20 = 0
combine like terms
5x^2-20x=0
take the gcf
5x(x-4)=0
x=0, 4
solutions are (4,0) and (2, -20) because the original vertex form a(x-h)^2+k
Answer:
Reduce each side by 1/3, 9m would be 3m, 12m would be 4m, 15m would be 5m.
Step-by-step explanation:
To make a triangle a fraction smaller (such as 1/3, 1/4, or 1/6) just multiply the sides by the fraction. To make a triangle a fraction bigger, multiply it by the sides but then add the solution to the original triangle to get a triangle a fraction bigger.
Answer:
3 - that is if all of those say 7 because some have a line through and some dont.
Step-by-step explanation:
Download photomath. You take a photo of the math problem and it gives the answer plus steps to solve.