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laiz [17]
3 years ago
5

URGENT HELP

Mathematics
1 answer:
Katena32 [7]3 years ago
5 0

Answer:

a = -6

b = 1

Step-by-step explanation:

The gradient of the tangent to the curve y = ax + bx^3, will be:

dy/dx = a + 3bx²

at (2, -4)

dy/dx = a+3b(2)²

dy/dx = a+12b

Since the gradient at the point is 6, then;

a+12b = 6 ....1

Substitute x = 2 and  y = -4 into the original expression

-4 = 2a + 8b

a + 4b = -2 ...2

a+12b = 6 ....1

Subtract

4b - 12b = -2-6

-8b = -8

b = -8/-8

b = 1

Substitute b = 1 into equation 1

Recall from 1 that a+12b = 6

a+12(1) = 6

a = 6 - 12

a = -6

Hence a = -6, b = 1

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Line is Passing through the Points (-3 , -1) and (-5 , 4)

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

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here x₁ = -3 and x₂ = -5 and y₁ = -1 and y₂ = 4

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3 years ago
At the movie theatre, child admission is $5.70 and adult admission is $9.75 . On Friday, 173 tickets were sold for a total sales
storchak [24]

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<u>Step-by-step explanation:</u>

Let x represent child tickets

Let y represent adult tickets

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Solve the system of equations using the elimination method:

Multiply the Quantity Equation by -5.70

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                    4.05y = 320.00

                  <u> ÷4.05 </u>   <u>÷4.05    </u>

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x + 79 = 173

x         = 94

7 0
3 years ago
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Soloha48 [4]
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3 years ago
If one feather weighs 700 milligrams, how much will 37 identical feathers weigh plus the basket they are placed in which weighs
vaieri [72.5K]
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Answer:

57

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