Answer:
A
Step-by-step explanation:
It is A, because it tells you the equation of
-5x + 8 ≥ -7
Because the key on the right tells you that shaded squares are negative and white ones are positive.
You can then subtract both sides by 8 to isolate the -5x and the equation becomes:
-5x ≥ -7 - 8
Which simplifies to
-5x ≥ -15
which you can now divide both sides by -5 to get
x ≥ 3
BUT WAIT
the general rule is that when you divide a variable (in this case x) by a negative number, you have to flip the inequality sign
so ≥
should become ≤
so the equation is x ≤ 3
Since y = 5x-1, we can fill it into 3x + 3y = -3. First, let's look at relating to a simpler equation. Let's say that x + y = 9 and y = 3 + 5. Now, we can fill it in to get that x + (3 + 5) = 9. Now, we know that 3+5 is 8, so x + 8 = 9. Now, x = 1. Likewise, we can do the same. For 3x + 3y = -3, all we need to do is to switch the y in 3x + 3y = -3 with 5x - 1. So it would become 3x + 3(5x - 1) = -3. Now we distribute to get 3x + 15x - 3 = -3. Now add three to both sides to get 3x + 15x = 0. Now simplify to get 18x = 0. Now we know that x = 0. Now fill x into y = 5x - 1. So y = 5(0) - 1. Now we know that y = -1.
To check fill in the answer to 3x + 3y = -3.
3(0) + 3(-1) = -3
0 + (-3) = -3
0 - 3 = -3
-3 = -3
Now that our check is completed we now know that x is 0 and y is -1.
Answer:
3) 
4) a) 
b) 
Step-by-step explanation:
<u>Exercise 3</u>



<u>Exercise 4</u>
a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ 
If L2 passes through point (3, 1):



So L2 = L1
b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1 ⇒ 
If L3 passes through point (-5, 2):



<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>⤴</em>
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>
Answer:
642.7
Step-by-step explanation:
<em>you add all of the numbers and get 6,427, then divide them by 10 since there are 10 numbers that you added and you have an average of 642.7</em>
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