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3 years ago

X^2 - 6x + 5 = 0. Find x

Mathematics

2 answers:

serg [7]3 years ago

8 0

I think it's 1.

X^2 - 6x + 5 = 0

X^2 - 6x = -5

1^2 = 1

1 - 6 = -5

Naya [18.7K]3 years ago

3 0

Hello,

x²-6x+5=0
==> x²-x-5x+5=0
==>x(x-1)-5(x-1)=0
==>(x-1)(x-5)=0
==> x=1 or x=5

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The Social Security (FICA) wage base ,y, (in thousands of dollars) from 1983 to 1988 is given by the equation y=1.9x+34.1, where

Zinaida [17]

Answer:

Step-by-step explanation:

Given the equation of the Social Security (FICA) wage base y, (in thousands of dollars) from 1983 to 1988 expressed as y=1.9x+34.1

for us to calculate his wage base in 1995, we need to calculate the total number of years between 1983 to 1995 i.e 12 years

Substitute x = 12 into the expression above as shown;

y=1.9x+34.1

y = 1.9(12)+ 34.1

y = 22.8 + 34.1

y = 56.9

Since y is in thousand of dollars then

y = 56.9 * 1000

y = 56900

y = $56,900

Hence FICA wage base in 1995 is $56,900

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3 years ago

Solve the inequality 7y-35<2(x-5)

AfilCa [17]

Answer:

x < 5

<u>Explanation:</u>

7*x-35-(2*(x-5))<0

(7x - 35) - 2 • (x - 5) < 0

Pull out like factors :

5x - 25 = 5 • (x - 5)

5 • (x - 5) < 0

Divide both sides by 5

Add 5 to both sides

x < 5

5 0

2 years ago

A farmer sells 7.5 kilograms of apples and pears at the farmer's market. 3/4 of this weight is apples, and the rest is pears. Ho

lisabon 2012 [21]

Answer: 1.87 kg of pears

Step-by-step explanation:

7.5 kg of both apples and pears were sold. 3/4 of this 7.5 kg is apples which means the amount of apples sold is:

= 7.5 * 3/4

= 5.63 kg of apples

The amount of pears sold would therefore be:

= Total amount sold - Amount of apples

= 7.5 - 5.63

= 1.87 kg of pears

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2 years ago

A triangle has a base of (3x + 7) and a height of (5x - 1). A second

Mars2501 [29]

Answer:

The difference between the area of the original triangle and the area of the new triangle is $\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)$ .

Step-by-step explanation:

The equation for the area of a triangle ( $A_{\bigtriangleup}$ ) is:

$A_{\bigtriangleup} = \frac{1}{2}\cdot b \cdot h$

Where:

$b$ - Base, dimensionless.

$h$ - Height, dimensionless.

The expression for each triangle are described below:

First Triangle ( $b = 3\cdot x + 7$ , $h = 5\cdot x - 1$ )

$A_{\bigtriangleup,1} = \frac{1}{2}\cdot (3\cdot x+7)\cdot (5\cdot x -1)$

Second Triangle ( $b = 3\cdot (3\cdot x+7)$ , $h = 2\cdot (5\cdot x -1)$ )

$A_{\bigtriangleup,2} = 3\cdot (3\cdot x+7)\cdot (5\cdot x -1)$

The difference between the area of the original triangle and the area of the new triangle is:

$\Delta A_{\bigtriangleup} = A_{\bigtriangleup,2}-A_{\bigtriangleup,1}$

$\Delta A_{\bigtriangleup} = 3\cdot (3\cdot x+7)\cdot (5\cdot x-1)-\frac{1}{2} \cdot (3\cdot x+7)\cdot (5\cdot x-1)$

$\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)$

The difference between the area of the original triangle and the area of the new triangle is $\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)$ .

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2 years ago

Find the indicated area under the curve of the standard normal distribution, then convert it to a percentage and fill in the bl

Misha Larkins [42]

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Looking at the z-table at http://www.z-table.com we see that the area to the left of z=-2.2 is 0.0139. The area to the left of z=2.2 is 0.9861. We find the area between them by subtracting:

0.9861-0.0139 = 0.9722 = 97.22%

3 0

2 years ago