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White raven [17]
4 years ago
10

(x + 3)(x - 3) > 0 (x + 4)(x + 2)

Mathematics
1 answer:
atroni [7]4 years ago
7 0

there is no solution if the equation are put together but there is if they are done alone

first question and second question

The answer is in the picture above please mark me brainliest :)

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After transforming f(x) = 2x² +4x + 3 into vertex form, the vertex is easily identifiable. Which ordered pair is the vertex?
jolli1 [7]

The vertex is (-1,1)

Explanation:

The equation is f(x)=2x^{2} +4x+3

To find the vertex, we need the equation in the form of f(x)=a (x-h)^{2}+k

Dividing each term by 2 in the equation f(x)=2x^{2} +4x+3

f(x)=2(x^{2} +2x+\frac{3}{2} )

Now, completing the square by adding and subtracting 1, we get,

f(x)=2(x^{2} +2x+1-1+\frac{3}{2} )

The first three terms can be written as (x+1)^{2},

f(x)=2[(x+1)^{2}+\frac{1}{2}  ]

Multiplying 2 into the bracket, we get,

f(x)=2(x+1)^{2} +1

This equation is of the form f(x)=a (x-h)^{2}+k

Now, we shall find the vertex (h,k)

Thus, h=-1 and k=1

Thus, the vertex is (-1,1)

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3 years ago
Four congruent square pieces with lengths of sides of 6 cm were cut out of corners of a square piece of cardboard. Then this pie
vfiekz [6]
I need help on this one too this stuff is hard sometimes
3 0
4 years ago
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the lengths of the side of a rectangular window have the ratio 1.7 to 1 the area of the window is 2,720 sqaure inches what are d
nignag [31]

Answer:

Lenght: 68\ in\\\\Width: 40\ in

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

You know that the ratio  of the sides of the rectangular window is:

1.7:1

 Then, let be x the width (in inches) of the rectangular window and 1.7x the lenght (in inches) of the rectangular window.

Knowing that the area of the window is 2,720 square inches, you can know that:

(1.7x)(x)=2,720

Now you must solve for "x" in order to find the width:

(1.7x)(x)=2,720\\\\1.7x^2=\\\\x=\sqrt{\frac{2,720}{1.7} }\\\\x=40

Finally, the lenght is:

1.7x=1.7(40)=68

3 0
4 years ago
HELP ASAP PLS. TIMED​
stellarik [79]

Answer:

A=588

Step-by-step explanation:

4 0
4 years ago
What is the missing term in the factorization? 100 x 2 −36=4(5x+?)(5x−3)
SIZIF [17.4K]

100x^2−36=4(5x+3)(5x−3)

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3 years ago
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