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lara31 [8.8K]
3 years ago
14

Nate solves the equation 3*5=15 by writing and solving 15:5=3. Explain why Nate's method works

Mathematics
1 answer:
masya89 [10]3 years ago
7 0
<span>Nate’s method works because multiplication and division are the inverse of each other. This means that when you divide 15 (the dividend) by 5 (the divisor) and get 3 (the quotient), the quotient and the divisor multiplied together are factors of the dividend, which becomes a product.</span>
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2x+1y=25 <br> find the equation of x
leonid [27]

Answer:

x=

−1

2

y+

25/2

Step-by-step explanation:

Let's solve for x.

2x+1y=25

Step 1: Add -y to both sides.

2x+y+−y=25+−y

2x=−y+25

Step 2: Divide both sides by 2.

2x

2

=

−y+25

2

x=

−1

2

y+

25

2

8 0
2 years ago
Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the
AysviL [449]

Answer:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

Step-by-step explanation:

The given polynomial equation is

2 {x}^{3}  +  {x}^{2}  - 8x - 4 = 0

We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

2 {x}^{2}  + 5x + 2

This means the polynomial equation becomes:

(x - 2)(2 {x}^{2}  + 5x + 2) = 0

We factor the quadratic term by splitting the middle term;

(x - 2)(2 {x}^{2}  + 4x +x +  2) = 0

(x - 2)(2 x(x+ 2) +1(x +  2) )= 0

Collect common factors again:

(x - 2)((x+ 2)(2x +  1) = 0

The solution is:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

8 0
3 years ago
A DVD player that normally cost $160 is on sale for 70% of its normal price.What is the sale price of the DVD player.
maw [93]
160 $ = 100%
     x $ = 70%


100 x = 11200
     x =  112


160,00 - 112,00 =  48,00$


7 0
3 years ago
Is y=3x+4 parallel or perpendicular
Sauron [17]

Answer: y=3x+4 is parallel to y=3x+7

Step-by-step explanation:

<h3> The complete exercise is: "Is y=3x+4 parallel, perpendicular or neither to y=3x+7?"</h3><h3 />

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

First, in order to solve this exercise it is important to remember that, by definition:

1. The slopes of parallel lines are equal.

2. The slopes of perpendicular lines are negative reciprocal.

In this case, you have the following line given in the exercise:

 y=3x+4

You can identify that "m" and "b" are:

m=3\\b=4

And the other line provided in the exercise is this one:

y=3x+7

So, you can identify that:

m=3\\b=7

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.

6 0
3 years ago
PLZ HELP!!! I need help ASAP
hammer [34]
You distribute the negative in the second equation
4 0
2 years ago
Read 2 more answers
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