Answer:
14. x=16, 15. x=9
Step-by-step explanation:
14.
4x+4=7x-44 by alternate exterior angles
3x=48
x=16
15.
15x-26=12x+1 by alternate exterior angles
3x=27
x=9
She bought 4 pounds of limes and 5 pounds of pears.
Answer:
For a function y = f(x), the range is the set of all the possible values of y.
In the question you wrote:
y = secx - 2
This can be interpreted as:
y = sec(x - 2)
or
y = sec(x) - 2
So let's see each case (these are kinda the same)
If the function is:
y = sec(x - 2)
Firs remember that:
sec(x) = 1/cos(x)
then we can rewrite:
y = 1/cos(x - 2)
notice that the function cos(x) has the range -1 ≤ y ≤ 1
Then for the two extremes we have:
y = 1/1 = 1
y = 1/-1 = -1
Notice that for:
y = 1/cos(x - 2)
y can never be in the range -1 < x < 1
As the denominator cant be larger, in absolute value, than 1.
Then we can conclude that the range is all reals except the interval:
-1 < y < 1
If instead the function was:
y = sec(x) - 2
y = 1/cos(x) - 2
Then with the same reasoning, the range will be the set of all real values except:
-1 - 2 < y < 1 - 2
-3 < y < -1
Answer:
f(-3) = 11
Step-by-step explanation:
To evaluate f(-3), substitute x = - 3 into f(x)
⇒
f
(
−
3
) = (
−
3
)^
2 − 3
(
−
3
) − 7
=
9
+
9
−
7
=
11
hope this helps
sorry if wrong
#Virgo2007
First of all we know he is at the 12th round, so 11 rounds of 3 minutes passed, so 11 x 3= 33 minutes passed, but we also know that he passed two minutes of the 12th round so 33+2= 35 minutes.
The player played for 35 minutes.
