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ch4aika [34]
2 years ago
8

13. Describe the system by substitution: y=x-7 2x - y = 3

Mathematics
1 answer:
torisob [31]2 years ago
4 0

Answer:

x = y + 7 \\  \\ x =  \frac{3 + y}{2}  \: or \: y = 2x - 3

Step-by-step explanation:

1. \: 2x = 3 + y \\ 2. \: x =  \frac{3 + y}{2}  \: or \: y = 2x - 3 \\  \\ 1. \: y + 7 = x \\ 2. \: x = y + 7

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The lowest point on the parabola is (0, -1).
astraxan [27]

Answer:

vertex

Step-by-step explanation:

vertex

If the coefficient a > 0, then the parabola opens upward and the vertex is the lowest point on the parabola. We say that k is the minimum value of the quadratic function. On the other hand, if the coefficient a < 0, then the parabola opens downward and the vertex is the highest point on the parabola.

3 0
3 years ago
Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest fo
deff fn [24]

Given :

a_1=-25 .

a_n=a_{n-1}-14 .

To Find :

The general equation of a_n .

Solution :

We know , when difference between any two consecutive terms in an A.P is equal , then the series is in arithmetic progression .

Now , common difference ,

d=a_n-a_{n-1}\\\\d=-14

Also , first term is -25 .

Now , general term of an A.P is given by :

a_n=a+(n-1)d\\\\a_n=-25+(n-1)(-14)\\\\a_n=-25-14n+14\\\\a_n= -11-14n

Hence , this is the required solution .

4 0
3 years ago
Simplify c + 6 &lt; -20
Stels [109]

Answer:

Step-by-step explanation:

c + 6 < -20

Subtract 6 from both side

c +6 -6 < -20-6

c < -26

So value of c should be less than -26. Value of c = { - ∞ ...... -28, - 27 }

Eg:

If c = -27

-27 + 6 = - 21 . -21 is less than -20

7 0
4 years ago
Plz help me
ira [324]

The park charges 1.50 per ride.

1. Louisa bought 15 ride tickets at 1.50 each.

Equation: C = Entry Fee  + 1.50t

t = 15.

c = 30.75

30.75 = Entry Fee + 1.50(15)

30.75 = Entry fee + 22.50

Entry fee = 30.75 - 22.50

Entry fee = $8.25

2.  Entry fee was calculated as 8.25 from #1.

Tickets are 1.50 each.

He can spend 22.

22 = 8.25 + 1.50t

Subtract 8.25 from both sides:

13.75 = 1.50t

Divide both sides by 1.50:

t = 13.75 / 1.50

t = 9.2

He can buy 9 tickets.

6 0
3 years ago
If the cost of 9 m cloth is rupees 378, find the cost of 4 m cloth? guys little fast and please in steps no direct answers
yulyashka [42]

Answer: 168 rupees.

Step-by-step explanation:

sure thing! first, i divided 378 by 9, so that i could find the cost of ONE meter of cloth.

378/9 = 42

then, i just multiplied 42 by 4, in order to find the total cost for 4 meters.

42 x 4 = 168

3 0
3 years ago
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