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2 years ago

Make x the subject of the formula x(2+a)=b(x+3)

Mathematics

2 answers:

Serggg [28]2 years ago

8 0

x( 2 + a ) = bx + 3b

x( 2 + a ) - bx = bx - bx + 3b

x ( 2 + a - b ) = 3b

x ( 2 + a - b ) ÷ ( 2 + a - b ) = 3b ÷ ( 2 + a - b )

x = 3b / 2 + a - b

Ahat [919]2 years ago

6 0

Answer:

x=3b/(2+a-b)

Step-by-step explanation:

x(2+a)=b(x+3)

2x+ax=bx+3b

2x+ax-bx=3b

x(2+a-b)=3b

x=3b/(2+a-b)

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If -1 and 2 are the two zeros of the polynomial x3-4x2-7x+10 find the third zero

rewona [7]

note that the zeroes should be x = 1 and x = - 2 not x = - 1 and x = 2

the factors are then ( x - 1 ) and (x + 2)

and x³ - 4x² - 7x + 10 = (x - 1 )(x + 2) = x² + x - 2

thus x² + x - 2 is a factor

dividing x³ - 4x² - 7x + 10 by x² + x - 2 gives x - 5

the third zero is x = 5

check : (5)³ -4(5)² - 7(5) + 10 = 125 - 100 - 35 + 10 = 0

5 0

3 years ago

Equation Given: <img src="https://tex.z-dn.net/?f=h%28t%29%3D-4.9t%5E%7B2%7D%2B358" id="TexFormula1" title="h(t)=-4.9t^{2}+358"

Vilka [71]

Answer:

At 3.44 seconds, the penny is at a height of 300 meters above the ground.

Step-by-step explanation:

Basically, we have to solve an equation here:

$-4.9t^{2} + 358 = 300$

Hence,

$-4.9t^{2} = 300 - 358$

$t^{2} = \frac{-58}{-4.9}$

$t = 3.44$

Hence, at 3.44 seconds, the penny is at a height of 300 meters above the ground.

Hope this helped!

4 0

2 years ago

According to records in a large hospital, the birth weights of newborns have a symmetric and bell-shaped relative frequency dist

Kamila [148]

Answer:

15.9% of babies are born with birth weight under 6.3 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.8 pounds

Standard Deviation, σ = 0.5

We are given that the distribution of birth weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(birth weight under 6.3 pounds)

P(x < 6.3)

$P( x < 6.3) = P( z < \displaystyle\frac{6.3 - 6.8}{0.5}) = P(z < -1)$

Calculation the value from standard normal z table, we have,

$P(x < -1) = 0.159 = 15.9\%$

15.9% of babies are born with birth weight under 6.3 pounds.

8 0

2 years ago

What is the probability that a shipment of 100 pineapples will have no more than 6 rotten pineapples if the probability that any

ycow [4]

Answer:

Try the won which is 0.10

Step-by-step explanation:

3 0

2 years ago

George bought socks for "$"300 and planned to sell them for $6 a pair. write an inequality to find the minimum number of socks h

Anit [1.1K]

The inequality <u>6s - 300 > 210</u> represents the minimum number of socks (s) when George bought socks for "$"300 and planned to sell them for $6 a pair, and want to make a profit of more than 210.

In the question, we are given that George bought socks for $300.

Therefore, George's total cost = $300.

We assume the number of pairs of socks George sells to be s.

The unit price per pair quoted by George = $6

Therefore, George's total sales = $6s.

We know that the profit over a transaction is given as the difference between sales and costs, that is,

The profit = The total sales - the total costs,

or, profit = 6s - 300.

In the question, we are required to make a profit of more than 210.

This can be shown by the inequality,

6s - 300 > 210.

Thus, the inequality <u>6s - 300 > 210</u> represents the minimum number of socks (s) when George bought socks for "$"300 and planned to sell them for $6 a pair, and want to make a profit of more than 210.

Learn more about inequalities at

brainly.com/question/24372553

#SPJ4

5 0

1 year ago