Find the solution set for the system of equations.
9x + 5y = 28
5x + 9y = 56

Answers

Answer 1

Answer: 9x + 5y = 28 . . . . . (1)
5x + 9y = 56 . . . . . (2)

(1) x 5 => 45x + 25y = 140 . . . . . (3)
(2) x 9 => 45x + 81y = 504 . . . . . (4)

(3) - (4) => --56y = -364 => y = 6.5

From (1), 9x + 5(6.5) = 28 => 9x = 28 - 32.5 = -4.5 => x = -4.5/9 = -0.5

Answer 2

Answer:

Answer:

-1/2,13/2

Step-by-step explanation:

Plato

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What is 14x - 13 = 9x + 1

Answers

14x - 13 = 9x + 1
- 9x    - 9x
5x - 13 = 1
      + 13 + 13
   5x = 14
      5     5
   x = 2.8

Find the solution set. 9x^2+3x-2=0 separate the two values with with a comma.

Answers

Answer:

x = -2/3, 1/3

Step-by-step explanation:

Step 1: Factor

(3x + 2)(3x - 1) = 0

Step 2: Find roots

3x + 2 = 0

3x = -2

x = -2/3

3x - 1 = 0

3x = 1

x = 1/3

Answer:

Step-by-step explanation:

factor ; (3x-1)(3x+2)=0

then make both 3x-1 and 3x+2 equal to 0

(3x-1)=0 solve 3x+2=0

+ 1 +1 -2 -2

_______ _______

3x = 1 3x = -2

x =1/3 x= -2/3

check for to make sure both solutions work by plugging back into the equation

What is 1/6 + (2/3 - 1/4) in simplest form

Answers

$(1)/(6)+((2)/(3)-(1)/(4))=\ \ \ \ | make\ a\ common\ denominator\n\n(2)/(12)+(8)/(12)-(3)/(12)=(2+8-3)/(12)=(7)/(12)\n\n The\ simplest\ form \ is\ (7)/(12).$

Which of the following is the correct definition of a geometric sequence?

Answers

Geometric sequences use multiplication as the common ratio, whether you are dividing by a fraction or a rational number. The key thing is that the ratio has to be the same throughout the whole sequence. Therefore, that makes the last choice above the one you want.

What could be predicted if Elisondra and her friends use the spinner to decide who orders first during 40 visits? Check all that apply. a. A different person will order first every time. b. Elisondra will order first approximately 10 times. c. Diya will order first exactly 20 times. d. The spinner will land on Elisondra’s section 40 times. e. Each person will order first approximately the same number of times.

Answers

Answer:

b. Elisondra will order first approximately 10 times.

e. Each person will order first approximately the same number of times.

Missing Problem Statement:

Elisondra is eating at a restaurant with three friends. They want to choose at random who will order first. If you model the situation with the spinner, how many equal-sized sections should the spinner have?

What is the theoretical probability of the spinner landing on Elisondra's section?

Step-by-step explanation:

Now, before we proceed to the current options in the problem statement. We need to model the situation with the spinner, how many equal sized sections should spinner have?

Since Elisondra is with her 3 friends, so we have a total of 4 people.

So the spinner should have 4 equal sized sections

Theoretical Probability of spinner landing on Elisondra's section = $(1)/(4)$