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Tatiana [17]
3 years ago
14

Consider the following system of equations:

Mathematics
2 answers:
mars1129 [50]3 years ago
8 0

Answer:2

Step-by-step explanation:

horrorfan [7]3 years ago
6 0

Answer:

(x = -11 and y = 56) or (x = 1 and y = -4)

Step-by-step explanation:

The equation of the parabola is 10 + y = 5x + x² ........(1)

And 5x + y = 1 ....... (2) is the straight line.

We have to find solutions to equations (1) and (2).

Now, solving equations (1) and (2) we get, 10 + (1 - 5x) = 5x + x²

⇒ 11 - 5x = 5x +x²

⇒x² + 10x - 11 = 0

⇒ (x + 11) (x - 1) = 0

Hence, x = -11 or x = 1

Now, from equation (2),  

y = 1 - 5x = 1 - 5(-11) = 56 {When x = -11}

And, y = 1 - 5(1) = -4 (When x = 1}

Therefore, the solution of the system are (x = -11 and y = 56) or (x = 1 and y = -4) (Answer)

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Sierra buys lunch in the cafeteria everyday. Lunch costs $2.00 each day, how much did she spend after 5 days.
Tcecarenko [31]

Answer:

$2.00 each day so $2.00 x 5 = $10

4 0
2 years ago
Five hundred teenagers were sampled at random about their favorite movie genre. The results are listed in the table below. Out o
MaRussiya [10]

Answer:

924 teenagers

Step-by-step explanation:

154 / 500 ×3000

= 924

Since 154 teenagers out of 500 prefer action movies, you'll just divide them by their total number 500 multiplied by the other total number 3000 to get the others who prefer action movies.

trying the others too

sci- fi

116 / 500 × 3000

= 696

romance

109 / 500 × 3000

= 654

comedy

78 / 500 × 3000

= 468

drama

43 / 500 × 3000

= 258

putting all of them together should give u ur total number

924 + 696+ 654 + 468 +258

= 3000

5 0
2 years ago
Which fraction is equivalent to -(3/4)?
Alekssandra [29.7K]

Answer:

I dont understand the context of the question but something eqqual to that would be -6/8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in an upcoming ele
balandron [24]

Answer:

1.\ \ np\geq 10\\\\2.\ \ n\geq 10x

Step-by-step explanation:

-Let x be the sample size and n the population size

-The conditions for a one-sample proportion z-test are:

-The sample is randomly selected from the population.

-The sample size is greater than or equal to ten times the population size:

n\geq 10x\\\\n=2000\\x=150\\10x=1500\\\therefore n\geq 10x

-The expectation np is greater than or equal to 10:

np\geq 10\\n=2000, p=0.6\\np=1200\\\\Hence, np\geq 10

5 0
3 years ago
PLEASE HELP FOR BRAINLIEST! ;)
IrinaVladis [17]

1. D - Since it's random, everyone has an equal chance of being picked

2. B - Since the people are already registered voters it would be easier to get a response from them. Plus, picking ever 10th person makes it random.

3. false - a fair question wouldn't make assumptions about the population

4. B - "Don't you think" causes the answerer to be pushed towards saying yes

hope this helps :)

5 0
3 years ago
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