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olga_2 [115]
3 years ago
14

What substitution Should be used to re-write 26(x^3+1)^2-22(x^3+1)-3=0 as a quadratic function?

Mathematics
1 answer:
mel-nik [20]3 years ago
7 0

Answer:

x^3+1

Step-by-step explanation:

26(x^3+1)^2-22(x^3+1)-3=0

Comparing to

A(u)^2+B(u)+C =0

Where A,B,C are constants

You should see that we need to substitute the x^3+1 with u.

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What is the answer to this equation?<br>-104 = 8x​
Olegator [25]

Answer:

x=-13

Step-by-step explanation:

-104 divided by 8 to isolate x

4 0
3 years ago
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The largest set of x values satisfying
velikii [3]

Answer:

If p\ge -\dfrac{1}{3}, then x>\dfrac{2}{3}+p and mn=\dfrac{2}{3}+p=\left(\dfrac{2}{3}+p\right)\cdot 1,\ \ m+n=\dfrac{5}{3}+p

Step-by-step explanation:

Solve two inequalities for x.

1. 2,018x-p

Separate terms with x and without x into two sides:

2,018x-2,020x

Multiply by -1:

2x>-2p\\ \\x>-p

2. 7x+3p

Separate terms with x and without x into two sides:

7x-10x

Multiply by -1:

3x>2+3p\\ \\x>\dfrac{2}{3}+p

Find the largest set of x values satisfying both inequalities:

x>-p\\ \\x>\dfrac{2}{3}+p

If

-p>\dfrac{2}{3}+p\\ \\-2p>\dfrac{2}{3}\\ \\2p

then x>-p and mn=-p=p\cdot (-1),\ m+n=p-1. In this case both m and n are negative.

If p>-\dfrac{1}{3}, then x>\dfrac{2}{3}+p and mn=\dfrac{2}{3}+p=\left(\dfrac{2}{3}+p\right)\cdot 1,\ \ m+n=\dfrac{5}{3}+p

If p=-\dfrac{1}{3}, then x>\dfrac{1}{3} and mn=\dfrac{1}{3}=\dfrac{1}{3}\cdot 1,\ \ m+n=\dfrac{4}{3}

7 0
3 years ago
The perimeter of a rectangle is 78 cm. If the length is 13 cm, how wide is the rectangle?
Novay_Z [31]

Answer:

the answer is  w=26cm

Step-by-step explanation:

3 0
2 years ago
On a scale drawing with a scale of 1cm=0.75m the height of a tree is 6.5 cm how tall is the actual tree?
tigry1 [53]
X=real height of the tree
1 cm / 0.75 m=6.5 cm / x
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x=(0.75 m*6.5 cm) / 1 cm=4.875 m

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7 0
3 years ago
Graphs of the following equations are straight lines except :
scoundrel [369]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
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