X+y+z=7 5x-4y-2z=2 4x+2y-3z=42

For each ordered pair (x,y) determine whether it is a solution to the inequality 7x+2y>_26

MA_775_DIABLO [31]

The inequality is given as,

$7x+2y>-26$

Consider that any ordered pair (x,y) is said to be the solution of the inequality if the ordered pair gives a true result when substituted in the inequality.

Consider the ordered pair (4,-9),

$\begin{gathered} 7(4)+2(-9)>-26 \\ 28-18>-26 \\ 10>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (4,-9) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (4,-9).

Consider the ordered pair (3,4),

$\begin{gathered} 7(3)+2(4)>-26 \\ 21+8>-26 \\ 29>-26 \end{gathered}$

Clearly, the result is true. So it can be concluded that (3,4) is a solution of the given inequality.

Therefore, mark YES for the ordered pair (3,4).

Consider the ordered pair (-4,0),

$\begin{gathered} 7(-4)+2(0)>-26 \\ -28+0>-26 \\ -28>-26 \end{gathered}$

Clearly, the result is false as -28 is not actually greater than -26.

So it can be concluded that the ordered pair (-4,0) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-4,0).

Consider the last ordered pair (-6,8),

$\begin{gathered} 7(-6)+2(8)>-26 \\ -42+16>-26 \\ -26>-26 \end{gathered}$

Note that the numbers on both sides of the inequality are identical. So there should be the symbol of equality, not inequality. So, it can be concluded that this ordered pair (-6,8) is not a solution of the given inequality.

Therefore, mark NO for the ordered pair (-6,8).

4 0

2 years ago

146000 000 in standard form

Natasha_Volkova [10]

1.46*10^9 will be the answer

7 0

4 years ago

Read 2 more answers

Slips of paper numbered 1 to 15 are placed in a box. A slip of paper is drawn at random. What is the probability that the number

monitta

Given:

Slips of paper numbered 1 to 15 are placed in a box.

To find:

The probability that the number picked is either a multiple of 5 or an odd number.

Solution:

We have,

Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

No. of total outcomes = 15

Multiple of 5 are 5, 10, 15.

Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.

Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.

No. of favorable outcomes = 9

We know that,

$\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$\text{Probability}=\dfrac{9}{15}$

$\text{Probability}=\dfrac{3}{5}$

$\text{Probability}=0.6$

Therefore, the probability that the number picked is either a multiple of 5 or an odd number is 0.6.

8 0

3 years ago

I need to find the equation of the line. Can someone please help?

NikAS [45]

The formula is y = mx + b when b = y-intercept and m is the slope.

Slope = Rise/Run So 1/2.

Y-Int. = The y value at which x = 0. Which is -3

The line has the formula:

Y = 1/2x - 3

Hope this helps :)

7 0

3 years ago

Read 2 more answers

Find the measurement of sides

mestny [16]

Answer:

(a) a ≈ 22.7 meters, (b) c ≈ 10.6 meters, (c) ∠A = 65°

Step-by-step explanation:

assuming side a/c is side BC/AB since it's opposite of angle A/C

(a) SOH CAH(cos = adjacent side/hypotenuse) TOA

=> cos (25°) = BC/AC or a/b

=> cos (25°) = a/25

=> a = cos (25°) × 25

=> a ≈ 22.7

(b) SOH(sin = opposite side/hypotenuse) CAH TOA

=> sin (25°) = AB/AC or c/b

=> sin (25°) = c/25

=> c = sin (25°) × 25

=> c ≈ 10.6

(c) 180° - 25° - 90°(the right angle) = 65°

7 0

3 years ago

X+y+z=75x-4y-2z=2 4x+2y-3z=42​

X+y+z=75x-4y-2z=2 4x+2y-3z=42