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3 years ago

4x -2y = 16 solve for y=mx+b

Mathematics

2 answers:

sladkih [1.3K]3 years ago

5 0

Answer:

y=2x-8

Step-by-step explanation:

Subtract 4 x from both sides of the equation. − 2 y = 16 − 4 x Divide each term by − 2 and simplify. Tap for fewer steps... Divide each term in − 2 y = 16 − 4 x by − 2 . − 2 y − 2 = 16 − 2 + − 4 x − 2 Cancel the common factor of − 2 . Tap for fewer steps... Cancel the common factor. − 2 y − 2 = 16 − 2 + − 4 x − 2 Divide y by 1 . y = 16 − 2 + − 4 x − 2 Simplify 16 − 2 + − 4 x − 2 . Tap for fewer steps... Simplify each term. Tap for fewer steps... Divide 16 by − 2 . y = − 8 + − 4 x − 2 Cancel the common factor of − 4 and − 2 . Tap for fewer steps... Factor − 2 out of − 4 x . y = − 8 + − 2 ( 2 x ) − 2 Cancel the common factors. Tap for more steps... y = − 8 + 2 x Reorder − 8 and 2 x . y = 2 x − 8

Marina86 [1]3 years ago

3 0

Answer:

Y = 2x - 8

Step-by-step explanation:

-2y = -4x + 16

y = 2x - 8

Your welcome

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The equation y=6.72(1.014) x models the world population y , in billions of people, x years after the year 2000 . Find the year

Marizza181 [45]

the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

<h3>What is Logarithm?</h3>

The opposite of exponentiation is the logarithm.
This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Given:

y = 6.72 ( $1.014^x$ ), where

y = population in billions
x = time in years

To find: Year when population is 8 billion, i.e., y = 8.

Finding:

8 = 6.72 ( $1.014^x$ )

=> $\frac{8}{6.72}= ( 1.014^x)$

Taking log on both sides

=> $log(\frac{8}{6.72})= log( 1.014^x)$

=> log(1.19) = x (log 1.014) (as $log_b(a)^m = m (log_b(a))$ )

=> $\frac{log(1.19)}{log (1.014)}$ = x

=> x = $\frac{0.0755}{0.006}$

=> x = 12.58

Hence, the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

To learn more about logarithms, refer to the link: brainly.com/question/25710806

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1 year ago

A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 5. Column 2 is labeled y with entries 5, 10, 12.5.

ahrayia [7]

The equation of constant of proportionality will be y = 2.5x.

Given A 2-column table with 3 rows. Column 1 has entries 2, 4, 5. Column 2 has entries 5, 10, 12.5.

Equation of two variables look like ax+by=c. It can be a linear equation,quadratic equation,cubic equation.

Equation from two points can be found out by putting the values of points in the formula given below:

$(y-y_{1})=(y_{2} -y_{1} /x_{2} -x_{1} )*(x-x_{1} )$ in which $(x_{1} ,y_{1} ),(x_{2} ,y_{2} )$ are the end points of the line.

Equation of constant proportionality looks like:

k=y/x

in which k is slope which is to be find out according to the same formula as we find in the equation of line.

Slope from (2,5),(4,10) is (10-5/4-2)

=5/2

=2.5

Put the value of k=2.5 in formula of slope.

2.5=y/x

2.5x=y

y=2.5x.

Hence the equation of constant of proportionality is y=2.5x.

Learn more about equation at brainly.com/question/2972832

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2 years ago

no january 25th, the Gogh temperature in portland , pregón , was 48 °F . no february 2 nd , The high temperature was 24 °F . Whi

statuscvo [17]

You can notice that the january 25th was warmer in comparisson with february 2nd. Becasue in january 25th the temperature was 48°F and in february 2nd the temperature was 24°F. And 48 is higher than 24.

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1 year ago

4+3x<=13 on a number line

goldfiish [28.3K]

Answer:

The question seems incomplete, but this statement would be true for all x below 3 (you can put any number less than 3 in it and get a true statement)

7 0

3 years ago

Please help me!! Will mark brainliest!!

Brut [27]

Answer:

its D

Step-by-step explanation:

8 0

4 years ago

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