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kirza4 [7]
3 years ago
9

Solve g(-1)=x^2-5x+2

Mathematics
1 answer:
olga55 [171]3 years ago
5 0

Answer:

x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2

Step-by-step explanation:

Solve for x:

x^2 - 5 x + 2 = 0

Subtract 2 from both sides:

x^2 - 5 x = -2

Add 25/4 to both sides:

x^2 - 5 x + 25/4 = 17/4

Write the left hand side as a square:

(x - 5/2)^2 = 17/4

Take the square root of both sides:

x - 5/2 = sqrt(17)/2 or x - 5/2 = -sqrt(17)/2

Add 5/2 to both sides:

x = 5/2 + sqrt(17)/2 or x - 5/2 = -sqrt(17)/2

Add 5/2 to both sides:

Answer:  x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2

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The length of a rectangle is 3 times the width.If the length is decreased by 4 m and the width is increased by 1 m , the perimet
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Answer:

Length = 27 metres

Width = 9 metres

Step-by-step explanation:

Consider the width to be x.

Then the length will be 3x.

The perimeter is 66m when the width is increased by 1m and the length is decreased by 4m.

So the dimensions will become:

Length=3x-4

Width=x+1

Now solve for the variable x using the formula for perimeter of a rectangle:

P = 2(l+b)

66 = 2(3x-4+x+1)     (Divide both sides by 2 and simplify the parentheses)

33 = 4x-3      (Add 3 to both sides)

36 = 4x        (Divide both sides by 4)

x = 9

Now plug-in the value of x into the original dimensions which were:

Length=3x

Width=x

So the dimensions are:

Length = 27 metres

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6 0
2 years ago
If JM = 5x – 8 and LM = 2x - 6, which expression represents JL?
Anastasy [175]

Answer:

3x-2

Step-by-step explanation:

JK =JL+LM

5x-8=JL +(2x -6)

JL = 5x-8 -2x+6

JL = 3x-2

6 0
3 years ago
Which fraction is equal to 60%?
trasher [3.6K]

Answer:

Step-by-step explanation:

60\% =\\\\\frac{60}{100} \\=0.6

4 0
3 years ago
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To win at LOTTO in one​ state, one must correctly select 4 numbers from a collection of 50 numbers​ (1 through 50​). The order i
Oksana_A [137]

Answer:

230,300 different selections.

Step-by-step explanation:

If the order does not matter, the number of possible different selections is determined as the combination of choosing four numbers out of 50:

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There are 230,300 possible different selections.

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2 years ago
What is the mean of this graph?
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Answer:

Step-by-step explanation:

Mean: sum of terms/ number of terms

4 + 2 + 3 + 1 + 1 + 5  = 16

Numbr of terms = 6

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Answered by g a u t h m a th

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2 years ago
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