Answer:
The equation x = y-8
The equation (y-8) y = 240
The first number x = 12 and second number y =20
Step-by-step explanation:
<u>Explanation</u>:-
<u>Step(l)</u>:-
Let 'x' be the first number and 'y' be the second number
Given the product of two numbers is 240
Given data x y = 240 …(l)
Given data the first number is 8 less than the second number.
x = y-8...(ll)
Substitute (ll) in equation (l) , we get
(y-8) y = 240
y = -12 and y = 20
Y= -12 is not satisfied
we can choose y = 20
<u>Step(ll):</u>-
Given data x =y-8
substitute value y = 20 in x = y -8
x = 20-8 = 12
<u>Final answer</u>:-
The first number x = 12 and second number y =20
Answer:
a) x₁ = 14
x₂ = - 6
b) x = 4
c) P(max ) = 4000000 $
Step-by-step explanation:
To find the axis of symmetry we solve the equation
a) -4x² + 32x + 336 = 0
4x² - 32x - 336 = 0 or x² - 8x - 84 = 0
x₁,₂ = [ -b ± √b² -4ac ]/2a
x₁,₂ = [ 8 ±√(64) + 336 ]/2
x₁,₂ = [ 8 ± √400 ]/2
x₁,₂ =( 8 ± 20 )/2
x₁ = 14
x₂ = -6
a) Axis of symmetry must go through the middle point between the roots
x = 4 is the axis of symmetry
c) P = -4x² + 32x + 336
Taking derivatives on both sides of the equation we get
P´(x) = - 8x + 32 ⇒ P´(x) = 0 - 8x + 32
x = 32/8
x = 4 Company has to sell 4 ( 4000 snowboard)
to get a profit :
P = - 4*(4)² + 32*(4) + 336
P(max) = -64 + 128 + 336
P(max) = 400 or 400* 10000 = 4000000
Answer: 22.5 . The weight of the elephant is "22.5 times greater" than the weight of the lion.
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Explanation:
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(weight of lion) * (x) = (eight of the elephant) ; Solve for "x" .
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→ Divide each side of the equation by "(weight of lion)" ;
to isolate "x" on one side of the equation ; and to solve for "x" ;
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→ (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
(weight of lion) ;
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→ x = (weight of the elephant) / (weight of lion) ;
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→ Plug in our "given values" ; and solve for "x" ;
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→ x = (<span>9*10</span>³) / (4*10²) = (9*10⁽³⁻²⁾) / 4 = (9*10¹) / 4 ;
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→ x = 90 /4 = 25/2 = 22.5 ; which is our answer.
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Just sayin' you shouldn't use up all ur points on one question
Answer:
The answer to your question is 7 times
Step-by-step explanation:
Data
Percent of accuracy = 35%
Times she is at bat = 20
Times she hit the ball = ?
Process
1.- Use proportions to solve this problem
20 times will be the 100% because is the total number of times she is at bat.
20 times ------------------ 100%
x ------------------ 35%
x = (35 x 20) / 100
x = 700 / 100
x = 7
2.- Conclusion
From 20 times she is at bat, she will hit the ball 7 times.
