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Nezavi [6.7K]
4 years ago
12

Y =  7x + 43

Mathematics
1 answer:
Paul [167]4 years ago
7 0
Hi there! The answer is A. (-6, 1)

y = 7x + 43 \\ y = 2x + 13 \\ \\ we \: get \: the \: following \\ 7x + 43 = 2x + 13

Subtract 2x from both sides.
5x + 43 = 13

Subtract 43 from both sides.
5x = - 30

Divide both sides by 5.
x = - 30 \div 5 = - 6

Fill in the value of x we just found.
y = 7 \times - 6 + 43 = - 42 + 43 = 1 \\ y = 2 \times - 6 + 13 = - 12 + 13 = 1

Hence, the answer is A. (-6, 1)
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Help please what is the sum of the series ?
aksik [14]
Comment
There are 4 terms in this series
That's because the summation (Sigma) goes from 3 to 6 inclusive. So k takes on values of  3,4,5,6

You could use this summation formula

Formula 
Sum = (a + L)n/2

Substitution 
a is the first term.
k = 3 for the first term
a = -5k + 20
a = -5(3) + 20
a = -15 + 20
a = 5

For the last term k = 6
L = -5(6) + 20
L = -30 + 20
L = - 10

Sum
Sum = (5 - 10)*4/2
Sum = -5 * 2
Sum = -10

Comment
You may wonder how come the last term and the sum are the same. The reason to be found by figuring out the 4 terms and adding them together.

When k = 3, -5k + 20 = -15 + 20 = 5
When k = 4, -5k + 20 = -20 + 20 = 0
When k = 5, -5k + 20 = -25 + 20 = -5
When k = 6, -5k + 20 = -30 + 20 = -10

Sum = 5 + 0  - 5 - 10 = - 10

Conclusion. 
It is an accident of the numbers.

Answer: - 10 = the Sum
8 0
3 years ago
What do it get if I multiply 9/14 and 7/6?
GaryK [48]
Multiply 9*14=126
multiply 7*6=42
4 0
3 years ago
Read 2 more answers
On a coordinate plane, a line is drawn between points (negative 4, negative 3) and (negative 1, 4).
gayaneshka [121]

Answer:

StartRoot 58 EndRoot

Step-by-step explanation:

Given the coordinates (-4, -3) and (-1, 4)

To get the distance between the two points, we will use the formula:

D =√(y2-y1)²+(x2-x1)²

From the coordinates, x1 = -4, y1 = -3, x2 = -1 and y2 = 4

Substitute

D =√(4-(-3))²+(-1-(-4))²

D = √(4+3)²+(-1+4)²

D = √7²+3²

D = √49+9

D = √58

Hence the correct option is D

StartRoot 58 EndRoot

6 0
3 years ago
Carrie has 32 ounces of ice cream to divide equally among 10 people.How much ice cream will each person get
netineya [11]

Answer:

If 32 ounces of ice cream is divided equally among 10 people then each person will get 3.2 ounces of the ice cream each.

Step-by-step explanation:


3 0
4 years ago
Which function is graphed below
Svetlanka [38]
I think the answer is a. f(x)= cos(x).
6 0
4 years ago
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