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3 years ago

How do you simplify the expression “3x (2/x + 5) +4”?

Mathematics

2 answers:

puteri [66]3 years ago

8 0

Answer:

15x+10

Step-by-step explanation:

3x (2/x + 5) +4

Distribute the 3x

3x*2/x + 3x*5 +4

6x/x + 15x +4

6+15x+4

Combine like terms

15x+10

Bas_tet [7]3 years ago

3 0

Answer:

15x + 10

Step-by-step explanation:

distribute the 3x to the 2/x and 5 inside the parentheses:

3x(2/x) + 3x(5) + 4

multiply:

6x/x + 15x +4

There is x in the numerator and the denominator of 6x/x, so the xs cancel:

6 + 15x + 4

15x + 10

You might be interested in

List the next four multiples of the unit fraction 1/5,

svetoff [14.1K]

Next multiples of the unit fraction 1/5 are
2/5
3/5
4/5
5/5 = 1

Hope this helps.. :)

6 0

3 years ago

Help help I don’t really get this???

insens350 [35]

Answer:

Question 4: $y=\displaystyle -\frac{4}{5}x$

Question 5: $y=-5x-3$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

Question 4

1) Determine the slope (m)

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$ where two points that pass through the line are $(x_1,y_1)$ and $(x_2,y_2)$

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

$\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}$

Therefore, the slope of the line is $\displaystyle -\frac{4}{5}$ . Plug this into $y=mx+b$ as the slope (m):

$y=\displaystyle -\frac{4}{5}x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (b) is 0. Plug this into $y=\displaystyle -\frac{4}{5}x+b$ :

$y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x$

Question 5

1) Determine the slope (m)

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

$\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5$

Therefore, the slope is -5. Plug this into $y=mx+b$ :

$y=-5x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (b) is -3. Plug this into $y=-5x+b$ :

$y=-5x+(-3)\\y=-5x-3$

I hope this helps!

8 0

3 years ago

Rearrange to make x the subject t=bx/3

g100num [7]

Answer:

x = 3t/b

Step-by-step explanation:

Step 1: Multiply both sides by 3

t = bx/3

3t = bx

Step 2: Divide both sides by b

3t/b = x

8 0

3 years ago

The probability that an individual is left-handed is 0.11. in a class of 29 students, what is the probability of finding five le

natka813 [3]

This is a case of binomial probability, with n = 29, p = 0.11 and x = 5.

Using the function binompdf on my Texas Instruments calculator, as follows:

binompdf(29,0.11,5) = 0.117 (answer)

5 0

3 years ago

3 - z/4 = 8 what is the solution of this equation ?

ivanzaharov [21]

Answer:

z = - 20

Step-by-step explanation:

3 - z/4 = 8

-z/4 = 5

z = -20

4 0

3 years ago

Read 2 more answers