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stepladder [879]
3 years ago
9

Select the correct answer.

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

D. It has a single solution: x=-3, y= 26.

Step-by-step explanation:

3x + y=17

Subtract 3x so it is in y=mx+b form. So now it is y= -3x +17

Now plug in

x + 2 (-3x+17) = 49

x + -6x + 34 = 49   (distribute)

-5x = 15 (combine the x terms and subtract 34 on both sides)

x = -3  (divide -5 on both sides to get x alone)

now plug in x into any other equation to get y

x + 2y = 49

-3 + 2y = 49

2y = 52 (add 3 on both sides)

y = 17  (divide 2 on both sides to get y alone)

(-3, 26)

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2. Function C takes time for its input and gives a student's Monday class for its output.
kaheart [24]

Answer:

We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.

a) A student has English at 10:00.

Here we can use T = 10:00 as the input, and the output will be the class, English.

Then this can represent this with:

C(10:00) = English.

b) Write a statement to describe the meaning of C(11:15) = chemistry.

for C(11:15) = Chemistry

The input, the time, is 11:15

The output, the class, is chemistry.

The student has a chemistry class at 11:15

6 0
2 years ago
An airplane at 30,100 feet above the ground begins descending at the rate of 2150 feet per minute. Write and solve a linear equa
IrinaVladis [17]

Answer:

30100-2150x and it would take 14 minutes to reach the ground.

Step-by-step explanation:

30100 feet is out starting y coordinate, and since 2150 is always changing depending on the amount of time we multiple it by x (the amount of minutes) therefor we can create the equation 30100-2150x and when we plus in 14 the equation would equal 0

5 0
3 years ago
A person calls people to ask if they would like to extend their automobile insurance beyond the normal3years. The probability th
Sonbull [250]

Using the binomial distribution, it is found that there is a 0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

For each person, there are only two possible outcomes, either they say yes, or they say no. The probability of a person saying yes is independent of any other person, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The probability that the seventh person is the first to say yes is P(X = 0) when n = 6(first six say no) multiplied by 0.37(probability the seventh say yes).
  • 37% say yes, hence p = 0.37

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.(0.37)^{0}.(0.63)^{6} = 0.0625

p = 0.37(0.0625) = 0.0231

0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

A similar problem is given at brainly.com/question/24863377

3 0
2 years ago
I need help finding 'x'
WITCHER [35]
(8x-10)°+(6x)°+(10x+10)°=360°
8x-10+6x+10x+10=360
8x+6x+10x-10+10=360
24x-10+10=360
24x=360
24x/24=360/24
x=15
Scalene because all three sides are different.
8 0
3 years ago
Please answer this two question ​☹️☹️please answer this question please please please
snow_lady [41]

Answer:

4. < ACB = 90° and < CBA = 52°

5. <SPQ+ <SRQ = 180°

so, <SPQ= < QRT = 100°

3 0
2 years ago
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