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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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Natali5045456 [20]

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3 years ago
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tiny-mole [99]
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3 years ago
Carl wants to plant a garden that is 1 1/2 yards long and has an area of 3 1/2 yd.² how wide should the Garden be
lesya692 [45]
L= length= 1 1/2 yards
A= area= 3 1/2 yards^2
w= width

Area= length * width
plug in numbers you know
3 1/2= (1 1/2)(w)
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to divide fractions, multiply by the reciprocal/inverse of 3/2
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OR
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Hope this helps! :)
8 0
3 years ago
Please help me in questions 15 and 21 with their inequalities and graph
aleksklad [387]

Answer:

x >= 7 OR x < -8

n <= -3 AND n > -6

Step-by-step explanation:

15) 7x - 6 >= 43 OR 10x + 4 < -76

7x >= 43 + 6 OR 10x < -76 - 4

7x >= 49 OR 10x < -80

x >= 7 OR x < -8

you can draw based on this

for >= it is full dot for < it is like circle on the graph

you have to draw both x>= 7 , x < -8 on the same line because it is OR

so both ranges of x are possible

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2n <= -3 -3 AND -3n < 19 - 1

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n <= -3 AND n > -6

so it lies between -6 and -3

u can refer pictures below

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3 years ago
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Aleksandr [31]

Answer:

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Step-by-step explanation:

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