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Harlamova29_29 [7]
2 years ago
6

Factor completely. 7x²+28r-35 =

Mathematics
1 answer:
Marysya12 [62]2 years ago
8 0

7x^2 +28x -35 \\\\=7(x^2 +4x - 5)\\\\=7(x^2 +5x -x -5)\\\\=7\left[ x(x+5) -(x+5) \right]\\\\=7(x-1)(x+5)

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Step-by-step explanation:

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=100

m<V=1/2×100

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Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = 3/ square root of 3x + 4
Elis [28]
Well, your equation y=3/SQRT(3x+4) should be rationalized, but that's not what you want.

If f(x) = 3/SQRT(x+4) and g(x) = 3x

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Step-by-step explanation:

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3 0
2 years ago
The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.
NeX [460]

Answer:

a) the area of a square is in terms of x is

(x+1)^2 centimeter square

b)The length of the rectangle is l = (x+1)

                                       l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

24  =  (x+1)(x+1 -5 )

now simplification 24 = (x+1)^2 - 5 (x+1)

apply (a+b)^2 = a^2+2 a b+b^2

x^2+2 x+1-5 x-5 =24

x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0
3 years ago
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