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puteri [66]
4 years ago
10

When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation.

Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain.
Mathematics
2 answers:
DedPeter [7]4 years ago
8 0

Answer:

Both Jared and Nicole are correct. You can solve for either variable and use the equivalent expression to create a one-variable equation. Then you can solve. Jared would have created a one-variable equation that can be used to solve for x, whereas Nicole would have created a one-variable equation that can be used to solve for y

Step-by-step explanation:

This is the sample answer that Ingenuity has offered.

myrzilka [38]4 years ago
5 0
Both are correct they just chose a different variable to solve for first. they will both get correct answers if they do the rest correctly.
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Graph -12x + 3y = 24
natali 33 [55]

Answer:

4x -y + 8=0

Step-by-step explanation:

:)

3 0
4 years ago
A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is locate
scoundrel [369]

Answer:

The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)

Step-by-step explanation:

The initial location of the robots hand = (-20, 0)

The angle through which the robot rotates his hand = 45°

∴ We have the length of the robots hand = 20 inches

We note that (-20, 0) is in the 2nd Quadrant

The location of the robots hand after rotating 45° counterclockwise = 135°

Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°

Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)

8 0
3 years ago
According to exit polling from the 2014 U.S. midterm elections, 36% of voters had a household income less than $50,000, while 64
Veseljchak [2.6K]

Answer:

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Republican

Event B: From a household that makes at least $50,000.

Probability of Republican:

43% of 36%(makes less than $50,000).

55% of 64%(makes more than $50,000).

So

P(A) = 0.43*0.36 + 0.55*0.64 = 0.5068

Republican and from a household that makes at least $50,000.

55% of 64%. So

P(A \cap B) = 0.55*0.64 = 0.352

What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.352}{0.5068} = 0.6946

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

4 0
4 years ago
If f(x) = 6x - 4 and g(x) = 2x^3, find g(3) - f(4)
Korolek [52]

To solve the problem, simply plug in the value for x in both functions, as shown below:

f(4) = 6(4) - 4

--> f(3) = 24 - 4

---> f(3) = 20


g(3) = 2(3)^3

--> g(3) = 2 * (3^3)

---> g(3) = 2 * 27

----> g(3) = 54


g(3) - f(4) = 54 - 20, so the answer is 34.

7 0
4 years ago
There are 216 people voting on the bill 3/8 of the people voted yes on the bill How many people voted yes
larisa86 [58]

Answer:

81

Step-by-step explanation:

total number of people voting = 216

number of people who voted yes = 216(\frac{3}{8})

                                                        = 81

5 0
3 years ago
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