MATHEMATICS HIGH SCHOOL

How many solutions does the following system of equations have?y=5/2x+2
2y=5x+4

One

Two

Zero

Infinitely many

Answers

Answer 1
Answer: We will use a method of substitution.
y = 5/2 x + 2 
2 y = 5 x + 4   ⇒  2 ( 5/2 x + 2 )= 5 x + 4
5 x + 4 = 5 x + 4
0 x = 0            ⇒  x, y ∈ R
Answer: D)   
This system has infinitely many solutions.

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Name the property used to make the conclusion.If x 3=17, then x=14
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Simplifying rational expressions1. (c+8)(c-8)/(c-8)(c+3)
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4. m^2-3m-10/m-5

Answers

1. ((c + 8)(c - 8))/((c - 8)(c + 3)),
    (c + 8)/(c + 3)

2. (n^(2) + 4n - 12)/(n^(2) + 2n - 8),
    (n^(2) + 6n - 2n - 12)/(n^(2) + 4n - 2n - 8),
    (n(n) + n(6) - 2(n) - 2(6))/(n(n) + n(4) - 2(n) - 2(4)),
    (n(n + 6) - 2(n + 6))/(n(n + 4) - 2(n + 4)),
    ((n - 2)(n + 6))/((n - 2)(n + 4)),
    (n + 6)/(n + 4)

3. (42x^(2)y^(3))/(28x^(3)y),
    (3y^(2))/(2x)

4. (m^(2) - 3m - 10)/(m - 5),
    (m^(2) - 5m + 2m - 10)/(m - 5),
    (m(m) - m(5) + 2(m) - 2(5))/(m - 5),
    (m(m - 5) + 2(m - 5))/(m - 5),
    ((m + 2)(m - 5))/(m - 5),
    m + 2

Please help simplify with steps

Answers

Remember that you can always multiply or divide BOTH the numerator and denominator
of the fraction by anything you want to.  You just have to do exactly the same to both of
them.

The way to simplify a fraction is to divide both the numerator and denominator by their
greatest common factor.

Do you see all of those 'x's on the top and bottom ?  The top and bottom can
both be divided by x-cubed.

Numerator:
Divide (-4³) by x³, and you have (-4) left.

Denominator:
Divide (x³ - 2x⁴) by x³, and you have (1 - 2x) left.

So, the simplified fraction is [  -4 / (1 - 2x)  ].

That's a perfectly good answer, but you could make it look a little prettier
if you multiply the top and bottom both by -1 .  Then it would be

                             4 / (2x - 1) .

Either one is fine.

Can you work this out: 14 x 14?

Answers

The product of the 14 x 14 is 196.

Given that we need to calculate 14 x 14,

To calculate 14 multiplied by 14, you simply multiply the two numbers together.

Here's the step-by-step process:

Start by multiplying the ones digit of the first number (4) by the ones digit of the second number (also 4).

4 x 4 = 16

Write down the ones digit of the result (6) and carry over the tens digit (1).

Next, multiply the tens digit of the first number (1) by the ones digit of the second number (4).

1 x 4 = 4

Add the carried over tens digit (1) to the result.

4 + 1 = 5

Write down the tens digit of the result (5) and carry over any remainingdigits (none in this case).

Finally, multiply the tens digit of the first number (1) by the tens digit of the second number (1).

1 x 1 = 1

Write down the tens digit of the result (1).

Putting it all together, we get:

14 x 14 = 196

Operation:

   14

×  14

------

  56   (4 × 14)

+140  (10 × 14)

------

 196

Therefore, 14 multiplied by 14 equals 196.

Learn more about Multiplication click;

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Answer:

14x14 is 196

Step-by-step explanation:

Use a calculator lol 14x14 is simple

M<DAB=60° and m<DCB=(3x)° . what is the value of x?

Answers

I hope this helps you

Solve –5√ x = –15.



A. x = –7
B. x = –9
C. x = 7
D. x = 9

Answers

Answer:

Option (d) is correct.

x=9

Step-by-step explanation:

Given : expression -5√(x)=-15

We have to solve for x.

Consider the given expression  -5√(x)=-15

Divide both side by -5, we have,

√(x)=(-15)/(-5)

Simplify, we have,

√(x)=3

Squaring both side, we get,

(√(x))^2=3^2

Simplify, we get,

x=9

Thus, Option (d) is correct.
-5√x = -15
   -5       -5
   √x = 3
      x = 9

The answer is D.

An automobile manufacturer wants to find out what types of product-related problems its customers are experiencing. The best method to gather the data is

Answers

Data collection involving the types of product-related problems a manufacturer's customers are experiencing is more suitable to make use of qualitative data collection. This is because the type of data you are interested in is more subjective and open-ended. The best method to gather the data is through survey/questionnaire.

Answer: a survey

Step-by-step explanation:
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