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3 years ago

If y varies directly with x and k = 3, what will y equal when x = 2?

Mathematics

2 answers:

grigory [225]3 years ago

7 0

The answer on Edgenuity is 6

Nikolay [14]3 years ago

5 0

Y=3x
x-2
The correct answer is y=6

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Part A: Find the LCM of 7 and 12. Show your work. (3 points)

inna [77]

Answer:

A. 84; B. 8; C. 8 × 19

Step-by-step explanation:

Part A. Least common multiple

Step 1. List the prime factors of each.

7 = 7

12 = 2 × 2 × 3

Step 2: Multiply each factor the greatest number of times it occurs in either number.

7 has one 7; 12 has two 2s and one 3.

LCM = 7 × 2 × 2 × 3

LCM = 7 × 12

LCM = 84

Part B. Highest common factor

Find all the factors of 56 and 96.

Factors of 56: 1, 2, 4, 7, 8, 14, 28

Factors of 96: 1, 2, 4, 6, 8, 12, 16, 24, 32, 48

The highest factor that in both 56 and 96 is 8.

Part C. Factoring

56 + 96 = 8(7 + 12) = 8 × 19

The GCF is 8.

19 = 7 + 12 is the sum of two numbers that do not have a common factor.

4 0

3 years ago

Given: BE bisects AD at C, AB ⊥ BC , DE ⊥ EC, AB ≅ DE Prove: ABC ≅DEC

faltersainse [42]

Answer:

Step-by-step explanation:

6 0

2 years ago

Help please asap

padilas [110]

These are 2 questions and 2 answers:

1. Question 1: The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.

Answer: 5x^2 -3x -14

Explanation:

You might probe the different pairs of factors given in the answer choices to check wich product is equal to the oirginal polynomial or you can factor from zero.

I will show you how to factor that polynomial from zero:

1) given: 5x^2 - 3x - 14

2) multiply and divide by the leading coefficient =>

5 [5x^2 - 3x -14 ]
----------------------
 5

3) Enter the the factor 5 inside the parenthesis:

5.5x^2 - 5.3x - 5.14
--------------------------
 5

4) rearrange conviniently to show (5x) as a common factir of the first two terms

(5x)^2 - 3(5x) - 70
--------------------------
 5

5) factor the numerator using 5x as common term of the two binomials:

(5x ) ( 5x ) <----> open the parenthesis
(5x - ) (5x + ) <-----> include the signs
(5x - 10) (5x + 7) <---> two numbers that add up - 3 and their product is - 70

=>

(5x - 10)(5x + 7)
---------------------
 5

6) divide (5x - 10) by 5 => x - 2

7) factored expression

(x - 2) (5x + 7)

8) Conclusion: the answer is the option B. (5x + 7) and (x - 2)

2. Question 2. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring

Answer: option C. (2x + 5)(3x - 4)

Explanation:

The procedure is the same of the question 1.

1) given: 6x^2 + 7x - 20

2) multiply numerator and denominator by 6 and rearrange to show (6x) as common factor ot the first two terms =>

(6x)^2 + 7(6x) - 120
--------------------------
 6
3) factor the numerador using 6x as common factor ot two binomials, and simplify:

(6x + )(6x - )
(6x + )(6x - )
(6x + 15) (6x - 8)

=>

(6x + 15)(6x -8)
---------------------
 6

(6x + 15)(6x - 8)
---------------------- =
 3.2

(6x + 15) (6x - 8)
------------- . ------------ =
 3 2

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

4) answer: option C. (2x + 5)(3x - 4)

6 0

3 years ago

Jamal discovers that the sum of point B in point C 0 which sentence is a correct statement about points B and C

denis23 [38]

Answer:

I need this question 2!

Step-by-step explanation: can someone please answer this.

7 0

3 years ago

Read 2 more answers

4. If it costs $18 for 24 pounds of grapes, how much would 8 pounds cost? What is the unit rate?

Anon25 [30]

Answer:

144 and 18

Step-by-step explanation:

18 ×24=432÷3=144

7 0

3 years ago