The answer A.the solution is (5,-2) definitely works because 5+-2=3 and 5--2=7 not sure if there's infinite number of solutions tho
Answer:
Part A) x = -3
Part B) x = 1, x = -7
Part C) x < -7
Part D) 2
Step-by-step explanation:
<h3>Part A)</h3>
2(x - 3) = 3x - 3
<em>open the parenthesis</em>
2 * x - 2 * 3 = 3x - 3
2x - 6 = 3x - 3
<em>subtract 2x from both sides</em>
2x - 2x - 6 = 3x - 2x - 3
-6 = x - 3
<em>add 3 to both sides</em>
-6 + 3 = x
-3 = x
<h3>
Part B)</h3>
|2x + 6| = 8
<em>split this into two equations:</em>
<em>2x + 6 = 8</em>
<em>&</em>
<em>2x + 6 = -8</em>
2x + 6 = 8
2x = 8-6
2x = 2
x = 1
2x + 6 = -8
2x = -8 - 6
2x = -14
x = -7
<h3>Part C)</h3>
-5(x + 1) > 30
<em>open the parenthesis</em>
-5x - 5 > 30
<em>add 5 to both sides</em>
-5x > 35
<em>divide both sides by -5</em>
x > -7
<em>since you divided by a negative, flip the sign.</em>
x < -7
<h3>
Part D)</h3>
f(x) = 4x - 3
<em>substitute x for 5</em>
5 = 4x - 3
5 + 3 = 4x
8 = 4x
2 = x
Answer:
To find the answer consider that this is a right triangle and we can use the tangent function in order to find the value of x
remember the acronym soh cah toa.
to use the tangent function we divide the opposite and adjacent side that is what the oa stands for in toa
setting it up looks like this
tan 72° = 
solving for x gives us x= 8×tan 72°
which is about 24.62
Step-by-step explanation:
So this... is a slightly complicated problem you have to set up an equation.... so 7x-12=2x+8 you subtract 2x and add 12 to both side so now you have 5x=20 now divide both sides by 5 now you have x= 4 so plug it into the problems for the sides 2(4)+8= 14 is the length of one side and 7(4)-12=16 so 16 is the length for the other now you just pick the measurement to use hope this helped!!!!! have an amazing day!
Answer:
The die is assumed to have six sides labeled
1
,
2
,
3
,
4
,
5
,
6
The numbers greater than 5 are
6
.
The numbers less than 3 are
2
,
1
.
So the numbers greater than 5 OR less than 3 are the union of the two sets or 6, and 2,1. The probability of rolling one of these numbers is
3
6
=
1
2
or
50%
.
Step-by-step explanation:
Sorry its sloppy