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anastassius [24]
3 years ago
5

Determine if the table below represents a linear function. If so, what's the rate of change?

Mathematics
2 answers:
Hoochie [10]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Mandarinka [93]3 years ago
4 0

Its not a linear function; there is no consistent rate of change between each of the points.

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Find the distance between the points (3, 8) and (0,4).
Bingel [31]

Answer:

5

Step-by-step explanation:

(3,8) (0,4)

X1 = 3    X2 = 0

Y1 = 8    Y2 = 4

D=\sqrt{(X1-X2)^{2}+ (Y1-Y2)^{2}  }

D= \sqrt{(3-0)^{2} + (8-4)^{2} }

Do what's in the parentheses so...

  1. 3-0= 3
  2. 8-4= 4

Now plug it in!

D= \sqrt{(3)^{2}+(4)^{2}  }

Now you are going to finish the parentheses so...

  1. (3)^2= 9
  2. (4)^2= 16

Plug that in so that you have this...

\sqrt{9+16}

Add 9+16 to get...

\sqrt{25}

Then you are going to find the number or numbers that make this a perfect square...

\sqrt{25}= 5

So 5 is your answer

7 0
3 years ago
PLEASE HELP!!! WILL GIVE BRAINLIEST AWARD FOR BEST EXPLAINED! PLEASE HELP
Arada [10]

Answer:

[1]

Given: (5x^3 + 3x^2 - 7x + 10) - (3x^3 - x^2 + 4x - 1)

Remove the parenthesis, we get;

(5x^3 + 3x^2 - 7x + 10) - (3x^3-x^2+ 4x -1)

5x^3 + 3x^2 - 7x + 10- 3x^3 + x^2- 4x + 1

Like terms are the those terms with same variable and powers.

Combine like terms;

2x^3 + 4x^2 - 11x + 11

To write this polynomial in standard form, you write starting with the term with the highest degree, or exponent(i.e x^3), and then in decreasing order .

Standard form: 2x^3 + 4x^2 - 11x + 11

To, classify a polynomial by degree, you just look at the highest exponent, or degree.

Since, 3 is the highest degree (x^3), it is a cubic.

Now, classify a polynomial by the number of terms, count how many terms are in the polynomial( 2x^3 + 4x^2 - 11x + 11)

Number of terms: 4 (so this is polynomial)

[2]

Similarly,

for  (9w - 4w^2 + 10) + (8w^2 + 7 + 5w)

Remove the parenthesis, we get;

9w - 4w^2 + 10+ 8w^2 + 7 + 5w

Combine like terms; we have

14w + 4w^2 + 17

Standard form: 4w^2 + 14w + 17

Degree of the polynomial is, 2

Number of terms: 3 ( so, this is trinomial)



8 0
3 years ago
Read 2 more answers
How do you evaluate logarithms? Explain using an example or mathematical evidence to support your answer.
kenny6666 [7]

Answer: Explanation below.

Step-by-step explanation:

First of all you need to know how to convert a logarithm into an exponential expression. The property is:

log_Bx=n

This is the same as: B^n=x

Example 1:

log_99=

We are trying to find what to raise 9 to, in order to get a result of 9.

9^x=9

When you have same bases, you equal exponents.

x=1

Therefore; log_99=1

Example 2:

log_232=

2^x=32

In this case, we have to make sure both sides have the same base. 32 can have a base of 2 if expressed as: 2^5 which is 2*2*2*2*2

Rewriting this example we have;

2^x=2^5

Since we have the same base, we equal exponents.

x=5

Therefore; log_232=5

Example 3:

log_3729=

3^x=729

729 can have a base of 3 if expressed as: 3^6

3^x=3^6

x=6

6 0
3 years ago
Read 2 more answers
Using the numbers 5 8 and 24 create a problem using no more than four operations addition subtraction multiplication division sq
lubasha [3.4K]

Answer:

(\frac{24}{8})^{2} gives rational solution and \sqrt{5} gives an irrational solution.

Step-by-step explanation:

We are given the numbers 5 , 8 , 24.

Using these numbers and maximum four operations given, we need to find the problem having a rational and irrational solution.

Now, applying two operations namely division and squaring, we define the following problem having a rational solution.

i.e. (\frac{24}{8})^{2} = (\frac{12}{4})^{2} = 3^{2} = 9, being an integer, it is a rational number.

Further, applying only one operation namely square root, we define the problem having an irrational solution.

i.e. \sqrt{5} , which is an irrational number.

Hence, the problems (\frac{24}{8})^{2} gives a rational solution and \sqrt{5} gives an irrational solution.

4 0
3 years ago
Could you send me a picture of the working and the answer
Allisa [31]
---------------------------------
Josie
---------------------------------
3 hours = 26.25

---------------------------------
Find wages for 1 hour :
---------------------------------
1 hour = 26.25 ÷ 3 = 8.75

---------------------------------
Find wages for 8 hours :
---------------------------------
8 hours = 8.75 x 8 = $70

---------------------------------
Find wages for a week :
---------------------------------
$70 x 7 = $350

---------------------------------
Salvador
---------------------------------
2 hours = $15

---------------------------------
Find 1 hour :
---------------------------------
1 hour = $15 ÷ 2 = $7.50

---------------------------------
Find 8 hours :
---------------------------------
8 hours = $7.50 x 8 = $60

---------------------------------
Find 1 week :
---------------------------------
1 week = $60 x 5 = $300

---------------------------------
Define x :
---------------------------------
Let x be the number of weeks needed 

---------------------------------
Construct equation :
---------------------------------
350x = 300x + 1000

---------------------------------
Solve for x :
---------------------------------
350x = 300x + 1000

---------------------------------
Take away 300x from both sides :
---------------------------------
50x = 1000

---------------------------------
Divide by 50 :
---------------------------------
x = 20

------------------------------------------------------------------
Answer: It will take 20 weeks.
------------------------------------------------------------------
8 0
4 years ago
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