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3 years ago

Find the value of x when 6 - 3x = 5x - 10x + 8. The value of x is

Mathematics

2 answers:

katrin2010 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

Simplify

6 + -3x = 5x + -10x + 8

terms:

6 + -3x = 8 + 5x + -10x

Combining like terms: 5x + -10x = -5x

6 + -3x = 8 + -5x

Solving

6 + -3x = 8 + -5x

Move all terms containing x to the left, all other terms to the right. (Remember)

Add '5x' to each side of the equation.

6 + -3x + 5x = 8 + -5x + 5x

Combine the like terms -3x + 5x = 2x

6 + 2x = 8 + -5x + 5x

Combine the like terms again -5x + 5x = 0

6 + 2x = 8 + 0

6 + 2x = 8

Then '-6' to each side of the equation.

6 + -6 + 2x = 8 + -6

Combine the like terms: 6 + -6 = 0

0 + 2x = 8 + -6

2x = 8 + -6

Combine the like terms: 8 + -6 = 2

2x = 2

Then divide each side by '2'.

x = 1

Simplifying

x = 1

ozzi3 years ago

6 0

Answer:

Step-by-step explanation:

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The linearized regression equation for an exponential data set is log ŷ = 0.14x + 0.4, where x is the number of years and y is t

djyliett [7]

Option C: $316$ is the predicted population when $x=15$

Explanation:

The regression equation for an exponential data is $\log y=0.14x+0.4$

Where x is the number of years and

y is the population

We need to determine the predicted population when $x=15$

The population x can be determined by substituting $x=15$ in the equation $\log y=0.14x+0.4$

Thus, we have,

$\log y=0.14(15)+0.4$

$\log y=2.1+0.4$

$\log y=2.5$

Using the logarithmic definition $\log _{a}(b)=c$ then $b=a^{c}$

$\log _{10}(y)=2.5 \Rightarrow y=10^{2.5}$

$y=316.22776 \ldots$

Rounding off to the nearest whole number, we get,

$y=316$

Thus, the predicted population when $x=15$ is 316

Hence, Option C is the correct answer.

7 0

3 years ago

Which expression correctly represents "eight times the difference of four and a number"?

il63 [147K]

Answer:

8(4-x)

Step-by-step explanation:

You're multiplying the difference of four and a number (4-x) by eight (8). So writing as an expression would look like 8(4-x).

7 0

3 years ago

Colton earns $7 per hour plus $1.50 for each pizza delivery. The expression 7h+1.50d can be used to find the total earnings afte

Fed [463]

He would make $117 because 7x15=105 and 1.50x8=$12.00 add that together you get 117

4 0

3 years ago

Read 2 more answers

What is (7z-5)-(3x-2) equivalent to ?

Tresset [83]

Answer:

7z -3x -3 is the solution to the equation

Step-by-step explanation:

7z -5 -3x +2

7z -3x -5+2

7z -3x -3

6 0

2 years ago

the sum of the measure of the interior angle of a convex polygon is 1080 find the number of sides of each polygon

pogonyaev

Answer:

Step-by-step explanation:

The formula to calculate the sum of interior angles of polygon is (n - 2)180

Where n represents number of sides

(n-2)180 = 1080 ------ Divide through by 180

(n-2)180/180 = 1080/180

n-2 = 6

n = 6+2

n = 8

6 0

3 years ago