One positive and one negative
Answer:
x < 8
Step-by-step explanation:
Given
x + 4 < 12
Isolate x on the left side by subtracting 4 from both sides
x < 8 ← is the solution
Answer:
f(3) just means to substitute 3 in for x.
Step-by-step explanation:
f(3) just means to substitute 3 in for x.
f
(
3
)
=
−
2
Explanation:
f
(
3
)
=
−
(
3
)
2
+
7
According to the order of operations, first square the 3, which is 9.
f
(
3
)
=
−
9
+
7
The negative sign in front of the x squared is equivalent to multiplying by negative one.
Add -9 and 7 together, which is -2
So,
f
(
3
)
=
−
2
8) The figure is a heptagon. This means the sum of the interior angles would be 180(7-2) = 5 * 180 = 900. Then this means you can say that the sum of all angles would equal 900.
(133 + 106 + 120 + 133 + (13 - 9)) + (m + m + m) = 900
-------Combine Like terms----------
496 + 3m = 900
-------Subtraction------------
3m = 404
--------Division--------
m = 404/3
If the answer doesn't seem right, just plug it in!
496 + 3(404/3) = 900
496 + 404 = 900
900 = 900
10) Same thing. The sum of the interior angles in a pentagon are 540.
(122 + 90 + 88 + 96) + k = 540
396 + k = 540
k = 144
11) The angle supplementary to the angle which measures 138 is 42. The sum of all the interior angles of a quadrilateral is 360. Let us call the missing INTERIOR angle x.
(104 + 98 + 42) + x = 360
244 + x = 360
x = 116
So the missing EXTERIOR angle is 180 - 116 which is 64.
12 is a bit confusing without showing you sorry :(
