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iris [78.8K]
3 years ago
7

Solve using substitution. x + 3y = -13 5x + 7y = -9

Mathematics
1 answer:
baherus [9]3 years ago
6 0
From equation 1
x = -3y-13
plug this into equation 2:-
5(-3y-13) + 7y = -9
-15y - 65 + 7y = -9
-8y = 56
y = -7 
Now plug y = 7 into equation 1
x - 21 = -13
x =  -13 + 21 = 8

solution is x = 8 , y = -7

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Answer:

domain:

( -  \infty , \infty )

range:

( -  \infty ,4]

equation:

y =  - 2(x - 3) {}^{2}  + 4

Step-by-step explanation:

domain is all X values and the X values will extent till infinity in both negative and positive direction, the range is all y values and the y value will go from negative infinity all the way to 4, where the graph stops.

4 0
3 years ago
What is the answer: 15 + 22(4 + 11) = x
kupik [55]
15+22(4+11)=x
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3 0
3 years ago
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For which intervals the graphs of the functions f(x) = x^3 + x^2 - 4x - 4 is positive
Nookie1986 [14]

Step-by-step explanation:

Consider a function

f

(

x

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which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.

5 0
3 years ago
he numbers of regular season wins for 10 football teams in a given season are given below. Determine the​ range, mean,​ variance
Naddik [55]

Answer:

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Mean = 8.4

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Standard deviation= 4.61

Step-by-step explanation:

2​, 10​, 15​, 3​, 13​, 9​, 14​, 7​, 2​, 9

For the range

Let the set of data be arranged inn ascending order

Range= higehest value- lowest value

Range = 15-2

Range= 13

For the mean

Mean = (2+2+3+7+9+9+10+13+14+15)/10

Mean = 84/10

Mean = 8.4

For variance

Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10

Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10

Variance= 212.4/10

Variance= 21.24

Standard deviation= √variance

Standard deviation= √21.24

Standard deviation= 4.609

Approximately = 4.61

6 0
3 years ago
What expression defines Sn?
frutty [35]

Answer:

Sₙ=3(1/2^n)

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3 0
2 years ago
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