Answer:
-3>_ x >_ -2
Step-by-step explanation:
x(x+5)>_ -6
Open the bracket
x² + 5x >_ -6
x² +5x + 6 >_ 0
Solve quadratically using factorisation method
Factors of 6 that sum up to +5. ( 2 and 3)
x² + 2x + 3x + 6 >_ 0
Factorise
x(x + 2) +3(x + 2) >_ 0
(x+2)(x+3) >_ 0
Therefore
x + 2 >_ 0 or x +3 >_ 0
x>_ -2 or x >_ -3
-3>_ x >_ -2
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Answer:
1. a
2. c
3. e
Step-by-step explanation:
1. a because she ran 5 miles on friday and ran x miles before friday. we know she had ran a total of 20 miles so we have x+5=20
2. there is a total of 20 clubs andre's school, 5 times more than is cousin's school. we have 20 =5x
3. 20 cats get 5 cups of food. each got an x amount. we get 5 =20x
Answer:
x=3800, y=4400
Step-by-step explanation:
X+y=8200 equation 1
15x+25y=167000 equation 2
x=8200-y isolate x in equation 1
15(8200-y)+25y=167000 substitute value of x from equation 1 into equation 2
123000-15y+25y=167000
10y=44000
y=4400
solve for x by inserting y value into either equation.
x+y=8200
x+4400=8200
x=3800
Check answer:
15x+25y=167000
15(3800)+25(4400)=167000
57000+110000
167000=167000
Answer:
B
Step-by-step explanation:
Answer:
a = 3, b = 6, c = 5
Step-by-step explanation: