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RUDIKE [14]
4 years ago
14

How do you simplify 10(4n+6)-2n?

Mathematics
1 answer:
ki77a [65]4 years ago
6 0
10 (4n + 6) - 2n   Use the Distributive Property
 40n + 60 - 2n    Combine like terms (40n - 2n)
     38n + 60
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PERMUTATION:
horsena [70]

Answer:

28

Step-by-step explanation:

It can be a one digit no.

_

2C1 = 2 (only two even options available)

It can be a 2 digit no.

_ _

The last digit has to be even for the no. to be even.

2C1 × 4C1 = 8 (2C1 for the last digit, 4C1 for the first)

It can be a 3 digit no.

_ _ _

First digit has to be less than 5 to be less than 500, and the last digit has to be even.

1) 2/4 _ 4

2C1 × 3C1 = 6 (2C1 to choose between 2 and 4, 3C1 for the second digit)

2) 1/3 _ 2/4

2C1 × 3C1 × 2C1 = 12 (2C1 to choose between 1 and 3, 3C1 for the second digit, 2C1 to choose between 2 and 4)

Total = 2 + 8 + (6 + 12)

= 28

5 0
4 years ago
Grady marks down some $2.49 pens to $1.99 for a week and then marks them back up to $2.49. Find the percent of increase and the
aleksley [76]

The percent decrease is found by using the formula (original price - new price)/(original price). The percent decrease is then (2.49 - 1.99)/2.49 = 0.20 = 20%. A percent increase is found by using the formula (new price - original price)/(original price). The percent increase is then (2.49 - 1.99)/1.99 = 0.25 = 25%. The percents of change are not the same. The percent increase is greater.

8 0
3 years ago
Read 2 more answers
Given that y varies directly as x and y = 18 when x = 6
sergey [27]

Answer:   y = 15,    x = 10

<u>Step-by-step explanation:</u>

NOTE: "varies directly" is of the form    \dfrac{y}{x}=k  where k is the constant of proportionality.

First, input the given x and y-values to find k

\dfrac{y}{x}=k\qquad \qquad \text{Given: y=18, x=6}\\\\\dfrac{18}{6}=k\\\\\boxed{3=k}

Next, input the given value and k = 3 to solve for the missing variable.

x = 5\\\\\dfrac{y}{5}=3\\\\\large\boxed{y = 15}\\\\\\y=30\\\\\dfrac{30}{x}=3\\\\\dfrac{30}{3}=x\\\\\large\boxed{10 = x}

4 0
4 years ago
write a quadratic function in vertex form whose graph has the vertex (1,0) and passes through point (2,-17)
kobusy [5.1K]

Answer:

\displaystyle f(x) = -17(x-1)^2

Step-by-step explanation:

We want to write a quadratic function in vertex form whose vertex is (1, 0) and passes through the point (2, -17).

Recall that vertex form is given by:

\displaystyle f(x) = a(x-h)^2 + k

Where (<em>h</em>, <em>k</em>) is the vertex and <em>a</em> is the leading coefficient.

Since our vertex is at (1, 0), <em>h</em> = 1 and <em>k</em> = 0:

\displaystyle f(x) = a(x-1)^2

It passes through the point (2, -17). Hence, when <em>x</em> = 2, <em>y</em> = -17:

\displaystyle (-17) = a((2)-1)^2

Solve for <em>a: </em>

<em />\displaystyle a = -17<em />

<em />

In conclusion, our quadratic function in vertex form is:

\displaystyle f(x) = -17(x-1)^2

7 0
3 years ago
3x – y = -1 x – 2y = -12
Leviafan [203]

The solution to the system of equation is (2, 7)

<h3>System of equation</h3>

Given the  system of equation expressed as:

3x – y = -1  * 2

x – 2y = -12 * 1

________________

6x – 2y = -2

x – 2y = -12

Subtract to have;

6x-x = -2-(-12)

5x = 10

x = 2

Substitute x = 2 into 2 to have:

2 - 2y = -12

-2y = -14

y = 7

Hence the solution to the system of equation is (2, 7)

Learn more on system of equation here: brainly.com/question/25976025

#SPJ1

8 0
1 year ago
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