All categories

3 years ago

Which of the following are solutions to the system

Mathematics

1 answer:

Tomtit [17]3 years ago

5 0

Answer:

A & B

Step-by-step explanation:

5x - 2y = 10 (1)

-2.5x + y = -5 (2)

When you multiply (2) by -2, you get (1), so there can be many solutions

To choose from the given options, plug in the values to check which ones satisfy the equation

5x - 2y = 10

A) (2,0)

5(2) - 2(0) = 10

10 = 10 (true statement)

B) (-2,-10)

5(-2) - 2(-10) = 10

-10 + 20 = 10

10 = 10 (true statement)

You might be interested in

I need help with this one please..

KiRa [710]

I think it's 60 I'm NOT sure. I just multiplied those three numbers

4 0

2 years ago

Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?

lara [203]

Answer:

x = -1 , - 11,

Step-by-step explanation:

| x | = x

|- x | = x

f(x) = 2 | x + 6 | - 4

x = - 1 , f( - 1) = 2 | - 1 + 6 | - 4 = 2 | 5 | - 4 = 10 - 4 = 6 , True

x = 1 , f( 1 ) = 2 | 1 + 6 | - 4 = 2 | 7 | - 4 = 14 - 4 = 10 , False

x = 11, f( 11 ) = 2 | 11 + 6 | - 4 = 2 | 17 | - 4 = 34 - 4 = 30 , False

x = - 11, f( - 11) = 2 | -11 + 6 | - 4 = 2 | - 5 | - 4 = 10 - 4 = 6 , True

x = 14 , f( 14 ) = 2 | 14 + 6 | - 4 = 2 | 20 | - 4 = 40 - 4 = 36 , False

x = -14 , f( - 14 ) = 2 | - 14 + 6 | - 4 = 2 | - 8 | - 4 = 16 - 4 = 12 , False

x = - 26 , f( - 26) = 2 | -26 + 6 | - 4 = 2 | -20 | - 4 = 40 - 4 = 36 , False

x = 26, f( 26 ) = 2 | 26 + 6 | - 4 = 2 | 32 | - 4 = 64 - 4 = 60 , False

Given f ( x ) = 6

f( x ) = 2 | x + 6 | - 4

6 = 2 | x + 6 | - 4

6 + 4 = 2 | x + 6| - 4 + 4 [ adding 4 to both sides ]

10 = 2 | x + 6 | + 0

5 = | x + 6 | [ dividing both sides by 2 ]

$- 5 =\ ( x+ 6) \ = 5\\\\$ $[ \ | x | = a\ => \ -a \ = x \ = a \ ]$

$- 5 - 6 = \ x + 6 - 6 \ = \ 5 - 6\\$ $[ \ subtracting \ by \ 6 \ ]$

$-11 = \ x \ = - 1$

3 0

2 years ago

This year, the Newville Tigers won six games more than the Wilton Panthers won. The Tigers won 22 games. Which equation cannot b

Usimov [2.4K]

Answer:

The ones that can be used are (B and A)

The ones that cannot be used are (C and D)

Step-by-step explanation:

Because the panthers got 6 less and the tigers got 22…

b+6 would make 22 (panthers plus 6 makes tigers)

22-b would also be 6 because 6+b makes 22, so subtracting b from 22 makes 6

5 0

2 years ago

In the figures below, the cube-shaped box is 6 inches wide and the rectangular box is 10 inches long, 4 inches wide, and 4 inche

olganol [36]

The cube-shaped box has a volume of 216 cubic inches. The rectangular box has a volume of 160 cubic inches. Therefore, the answer is C) 56 cubic inches.

7 0

3 years ago

Please help with #49

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

The inverses of functions are basically the Xs and Ys swapped. For example, the inverse of (2,-3) is (-3,2).

Thus, the inverse of (-2,4), (3,2), and (-6,10) will be (4,-2), (2,3), and (10,-6).

the answer is A.

8 0

2 years ago