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Nimfa-mama [501]
3 years ago
10

What is the solution to this system of equations x-3y=-2 x+3y=16

Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0
X- 3y = -2
x + 3y = 16
----------------add
2x = 14
x = 14/2
x = 7

x + 3y = 16
7 + 3y = 16
3y = 16 - 7
3y = 9
y = 9/3
y = 3

solution is : (7,3)
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he table shows the mean number of basketball goals made by four random samples of players from the school team during this year’
Strike441 [17]

The valid prediction for the mean of the population possible using these samples is C. Yes, the variation of the sample means is small

<h3>What is a sample mean?</h3>

It should be noted that a sample mean is an average of a set of data . Also, the sample mean can be used to calculate the standard deviation, central tendency, and the variance of a data set.

The sample mean can be applied to a variety of uses, including calculating population averages.

Here, the sample variance is a measure of the degree to which the numbers in a list are spread out. Here, the numbers given are close to each other.

If the numbers in a list are all close to the expected values, the variance will be small and if they are far away, the variance will be large.

Therefore, the correct option is C.

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3 0
2 years ago
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen t
Kryger [21]

Answer:

The correct answer will be:

-\dfrac{62}{23}

Step-by-step explanation:

It is given that :

Initial temperature, T_1 = 0^\circ F

Final temperature,

T_2 = -15\dfrac{1}{2}^\circ F\\\Rightarrow T_2 = -\dfrac{15\times 2+1}{2} ^\circ F\\\Rightarrow T_2 = -\dfrac{31}{2} ^\circ F

Time taken :

5\dfrac{3}{4}\ hrs = \dfrac{5 \times 4+3}{4}\ hrs = \dfrac{23}{4}\ hrs

Change in temperature per hour:

\dfrac{\text{Difference of temperature}}{\text{Total Time Taken}}\\\Rightarrow \dfrac{T_2-T_1}{\text{Total Time Taken}}

Putting the values of temperatures and time:

\dfrac{\dfrac{-31}{2}-0}{\dfrac{23}{4}}\\\Rightarrow \dfrac{\dfrac{-31}{2}}{\dfrac{23}{4}}\\\Rightarrow \dfrac{-31 \times 4}{2 \times 23}} \text{---- Error done by Wen at this step}\\\Rightarrow \dfrac{-31 \times 2}{23}}\\\Rightarrow \dfrac{-62}{23}}

The error done by Wen was during calculating the values of fraction.

So, the correct answer is :\frac{-62}{23}} instead of \frac{-713}{8}

5 0
3 years ago
Read 2 more answers
The graph below shows the function f(x)=x-3/x^2-2x-3 which statement is true
Ugo [173]

Answer:

The correct option is A.

Step-by-step explanation:

Domain:

The expression in the denominator is x^2-2x-3

x² - 2x-3 ≠0

-3 = +1 -4

(x²-2x+1)-4 ≠0

(x²-2x+1)=(x-1)²

(x-1)² - (2)² ≠0

∴a²-b² =(a-b)(a+b)

(x-1-2)(x-1+2) ≠0

(x-3)(x+1) ≠0

x≠3 for all x≠ -1

So there is a hole at x=3 and an asymptote at x= -1, so Option B is wrong

Asymptote:

x-3/x^2-2x-3

We know that denominator is equal to (x-3)(x+1)

x-3/(x-3)(x+1)

x-3 will be cancelled out by x-3

1/x+1

We have asymptote at x=-1 and hole at x=3, therefore the correct option is A....

4 0
3 years ago
Read 2 more answers
What is the following quotient? 2- 8sqr / 4+12 sqr
AlekseyPX

Answer: 130

Step-by-step explanation:

--> first solve sqr-->2-64/4+144

-->perform division next as per DMAS rule-->64÷4=16--> 2-16+144

--> now perform addition and subtraction-->2-16-14--> -14+144= 130

7 0
3 years ago
-2(2x- _)+1=17-4x For what missing value is the equation an identity?
igor_vitrenko [27]
What’s grade are you?
4 0
3 years ago
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