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puteri [66]
3 years ago
9

A variable needs to be eliminated to solve the system of equations below. Choose the

Mathematics
1 answer:
AURORKA [14]3 years ago
8 0
Two different things u can do
Substitution:
X-9y=12
+9y +9y
X=9y+12

-3(9y+12)+9y=36
-27y-36+9y=36
+36 +36
-18y = 72
/-18 /-18
Y = -4


Or whatever this other I’ve is called

-3x-9y=36
-1(X-9y)=(12)-1

-3x-9y=36
-x+9y=-12

-4x=24
X= -6
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The area of this rectangle is given by the quadratic function
Sonja [21]

<em>The function uses W as the variable but the options show only x's as the variable, so I'm asumming W in the answer</em>

Answer:

0 < W < 50

Correct option: A

Step-by-step explanation:

<u>Domain of functions</u>

Some functions have restricted values of the independent variable x. It can be due to mathematical restrictions, like dividing by 0 or taking the square root of a negative number, of it can be due to practical conditions of the situation being modeled.

In this case, the area of a rectangle is given by the quadratic function.

A=50W - W^2

Since the area of a rectangle cannot be negative (and should be positive, though it could be zero), the practical domain of A is determined when

50W - W^2\geq 0

Taking common factor W

W(50 - W)\geq 0

Since W must be positive W>0

50 - W\geq 0

Or equivalently

50 \geq W

W \leq 50

The total interval is

0 < W

Correct option: A

Please note: The real restriction should be

0 < W\leq 50

if we allowed the area to be positive, but I'm providing the most possible correct available option

6 0
3 years ago
A sequence can be generated by using fn = 2f(n-1)+1, where f1 = 4 and n is a whole number greater than 1. What are the first fou
hoa [83]

Answer:

<em>{9,19,39,79}</em>

Step-by-step explanation:

<u>Recursive Sequences</u>

The recursive sequence can be identified because each term is given as a function of one or more of the previous terms. Being n an integer greater than 1, then:

f(n) = 2f(n-1)+1

f(1) = 4

To find the first four terms of the sequence, we set n to the values {2,3,4,5}

  • For n=2

f(2) = 2f(1)+1

Since f(1)=4:

f(2) = 2*4+1

f(2) = 9

  • For n=3

f(3) = 2f(2)+1

Since f(2)=9:

f(3) = 2*9+1

f(3) = 19

  • For n=4

f(4) = 2f(3)+1

Since f(3)=19:

f(4) = 2*19+1

f(4) = 39

  • For n=5

f(5) = 2f(4)+1

Since f(4)=39:

f(5) = 2*39+1

f(5) = 79

4 0
3 years ago
Which expression is a perfect cube ? <br><br> X^6<br> Y^24<br> M^28<br> S^64
guapka [62]

Answer: S^64

Step-by-step explanation:

S^4 - 4.4.4 = 64

5 0
3 years ago
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Sasha is planning to create a garden with area 30 m2. She could use a
son4ous [18]

Answer:

Circle requires ≈ 20 m of edging

Step-by-step explanation:

A = πR²

R = √(A/π)

C = 2πR = 2π√(A/π)

C = 2π√(30/π) = 19.41625... ≈ 20 m

square needs ≈ 22 m of edging

equilateral triangle needs ≈ 25 m of edging

5 0
3 years ago
There are 9 apples. there are 6 fewer apples than oranges. how many oranges are there
Juliette [100K]

Answer:

15

Step-by-step explanation:

9 apples plus 6 more is 15 oranges

5 0
3 years ago
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