Answer:
x = -12
Step-by-step explanation:
-1/4x - 12 = x + 3
-x - 48 = 4x + 12
-x -4x = 12 + 48
-5x = 60
x = -12
Cost of one hosta is $11 and one pot of ivy is $4.
Step-by-step explanation:
Let,
Cost of one hosta = x
Cost of one pot of ivy = y
According to given statement;
3x+5y=53 Eqn 1
x+7y=39 Eqn 2
Multiplying Eqn 2 by 3
Subtracting Eqn 1 from Eqn 3
Dividing both sides by 16
Putting y=4 in Eqn 2
Cost of one hosta is $11 and one pot of ivy is $4.
Keywords: linear equation, elimination method
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To solve you need to set the equation equal to 6 (the height at which the player caught the ball.
6 = -16t^2 + 70t + 4
Next put the equation in standard form by subtracting 6 from both sides
-16t^2 + 70t - 2 = 0
This equation can be simplified by dividing by 2
-8t^2 + 35t - 1 = 0
This equation cannot be factored, but we can use the quadratic formula to find a value for x. Using the equation above we can find the values for a=-8, b = 35 and c = -1.
using the quadratic formula we can solve for x
-b +/- sqrt(b^2 - 4ac)
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2a
The solutions are
0.03 and 4.35. as 0.03 seems an unrealistic time to hit and catch a baseball we would expect the time to be 4.35 seconds.
Answer: " 4 − 3a " .
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<u>Step-by-step explanation</u>:
" 4 − a − a − a " ;
= 4 − 1a − 1a − 1a " ;
= ? " ;
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Combine the "like terms" :
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→ " − 1a − 1a − 1a " ;
= (− 1a − 1a) − 1a ;
= ( − 2a) − 1a ;
= − 3a ;
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Now, bring down the "4" ;
and rewrite the expression:
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→ " 4 − 3a " ;
which cannot be simplified further.
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The answer is: " 4 − 3a " .
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Hope this is helpful!
Best wishes to you!
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