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shepuryov [24]
3 years ago
6

Someone help me fill in this chart

Mathematics
1 answer:
ozzi3 years ago
8 0
Slope-intercept forms:

line r= y= 2/5x+2
line s= y= -3/2x+3
line T= y= -2/3x-2
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7x + 6y = -1 ; -x + 2y = 3 with elimination
Harlamova29_29 [7]

Answer:

x= -1, y=1

Step-by-step explanation:

First label the 2 equations.

7x +6y= -1 -----(1)

-x +2y= 3 -----(2)

Then choose which term you would like to eliminate. To eliminate the y term, multiply equation (2) by 3 such that the coefficient of y is 6.

(2) ×3:

-3x +6y= 9 -----(3)

Since the coefficient of y is positive 6 in both equations, subtract one equation from the other.

(3) -(1):

-3x +6y -(7x +6y)= 9 -(-1)

Expand:

-3x +6y -7x -6y= 9 +1

-10x= 10

x= 10 ÷(-10)

x= -1

Substitute x= -1 into (2):

-(-1) +2y= 3

1 +2y= 3

2y= 3 -1

2y= 2

y= 2 ÷2

y= 1

------------------------------------------------------------

2nd method: eliminating the x term

(2) ×7:

-7x +14y= 21 -----(3)

Since the coefficient of y in equation (1) is a positive 7, while that in equation (3) is a negative 7, add the 2 equations together to eliminate the x term.

(1) +(3):

7x +6y -7x +14y= -1 +21

20y= 20

y= 20 ÷20

y= 1

Substitute y= 1 into (2):

-x +2(1)= 3

-x +2= 3

-x= 3 -2

-x= 1

x= -1

5 0
3 years ago
Suppose that 2000 is invested at a rate of 2.4% , compounded semiannually. Assuming that no withdrawals are made, find the total
gtnhenbr [62]

Answer:

$2479.02

Step-by-step explanation:

The invested amount is $2000 at a rate of 2.4% which compounds semiannually.

Therefore, the semiannual interest rate is \frac{2.4}{2} = 1.2%.

Then the principal is compounded (9 × 2) = 18 times within a period of 9 years.

If there is no withdrawal from the account, then after 9 years the sum will become

2000(1 + \frac{1.2}{100} )^{18} = 2479.02 dollars {Rounded to the nearest cent} (Answer)

4 0
3 years ago
One third plus one third
ehidna [41]
Two thirds.
1/3 +1/3 = 2/3.
You don’t add the denominator (bottom terms), you only add the numerators (the top terms)
6 0
4 years ago
En mi clase hay 30 alumnos. Hoy es el cumpleaños de Marta y regala 2 piruletas de fresa a cada chica y 1 de limón a cada chico.
Alenkasestr [34]

Answer:

La respuesta es solo dividir

Step-by-step explanation:

ara que sepas que hay 30 estudiantes y que se les dieron 49 lolipops a los estudiantes y 2 se los dieron a las niñas y 1 a los niños, todo lo que tienes que hacer es dividir

5 0
3 years ago
Read 2 more answers
Is 3z-1 in standard form?
babunello [35]

Answer:

Yes because

Step-by-step explanation:

Is 3z-1 in standard form?

Yes becausestandard form of a polynomial, the value in the power of the variable such as z in the equation reduces from left to right. Therefore, 3z - 1 is in standard form since the z term comes to the left of the constant term

7 0
3 years ago
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