-4 < - 13( a + 6) -1 7
2 answers:
Step-by-step explanation:
<u>Step 1: Simplify both sides of the inequality.</u>
−4<−13(a+6)−17
−4<−13a−95
<u>Step 2: Flip the equation.</u>
−13a−95>−4
<u>Step 3: Add 95 to both sides.</u>
−13a−95+95>−4+95
−13a>91
<u>Step 4: Divide both sides by -13.</u>
-13a/-13 > 91/-31
ANSWER: a < -7
Explanation in words:
- The first step is to simplify both sides of the inequality and the answer will end up being as −4<−13a−95.
- The second step is to flip the equation and the answer will end up being as −13a−95>−4.
- The third step is to Add 95 to both sides of the equation and the answer will end up being as −13a>91.
- The last step is to Divide both sides by -13 and the answer will result as a < -7. So the answer is a < -7.
Graph: See Attachment
Answer:
a<−7
Hope this helps.
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Answer:
y = (5/9)(x -2)(x +6)
Step-by-step explanation:
When a polynomial has a zero (p, 0), it has a factor (x -p).
The given zeros mean the factored form of the equation will be ...
y = a(x -2)(x +6)
The given point will mean the value of 'a' will satisfy ...
(x, y) = (3, 5)
5 = a(3 -2)(3 +6) = 9a
a = 5/9 . . . . . . . . . . . . . . divide by the coefficient of 'a'
The factored equation is ...
y = (5/9)(x -2)(x +6)
Answer:
Q = 52.5
Step-by-step explanation:
given P is directly proportional to Q then the equation relating them is
P = kQ ← k is the constant of proportion
to find k use the condition Q = 30 when P = 40 , then
40 = 30k ( divide both sides by 30 )
=
= k
P = Q ← equation of proportion
when P = 70 , then
70 = Q ( multiply both sides by 3 to clear the fraction )
210 = 4Q ( divide both sides by 4 )
52.5 = Q