ANSWER 155 cats
Step by step explanation
No. of dogs = 50=d
No. of cats = 3.5x50- 20
=175-20
=155 cats
Answer:
2. a and b only.
Step-by-step explanation:
We can check all of the given conditions to see which is true and which false.
a. f(c)=0 for some c in (-2,2).
According to the intermediate value theorem this must be true, since the extreme values of the function are f(-2)=1 and f(2)=-1, so according to the theorem, there must be one x-value for which f(x)=0 (middle value between the extreme values) if the function is continuous.
b. the graph of f(-x)+x crosses the x-axis on (-2,2)
Let's test this condition, we will substitute x for the given values on the interval so we get:
f(-(-2))+(-2)
f(2)-2
-1-1=-3 lower limit
f(-2)+2
1+2=3 higher limit
according to these results, the graph must cross the x-axis at some point so the graph can move from f(x)=-3 to f(x)=3, so this must be true.
c. f(c)<1 for all c in (-2,2)
even though this might be true for some x-values of of the interval, there are some other points where this might not be the case. You can find one of those situations when finding f(-2)=1, which is a positive value of f(c), so this must be false.
The final answer is then 2. a and b only.
Answer:
3x=11
Step-by-step explanation:
a number: x
three times x: 3x
is equal to 11: 3x=11
Answer:
You need four squares.
On the top left square, you put the number 20 over it, and the number 30 to its left. Put the number 600 in the square.
Next, the bottom left square. But the number 4 on the left side of the square, and put the number 80 in the square.
Now, the top right box. put the number 8 over it, and fill it with the number 240.
Last, fill the bottom right square with the number 32.
Answer:
y = - 13, y = 13
Step-by-step explanation:
Given
y² = 169 ( take the square root of both sides )
y = ± 
= ± 13
Since 13 × 13 = 169 and - 13 × - 13 = 169
