All categories

3 years ago

Which ordered pairs are solutions to the inequality y−4x≥−5 ?

1 answer:

5 0

The given inequality is
y - 4x ≥ - 5

To find the correct answer, we should test each answer as shown below.
Test (-2. 1):
y - 4x = 1 - 4(-2) = 9
It is ≥ -5.
CORRECT

Test (-4, 2)
y - 4x = 2 - 4(-4) = 18
It is ≥ -5
CORRECT

Test (4,0)
y - 4x = 0 - 4(4) = -16
It is < -5
INCORRECT

Test (5,-2)
y - 4x = -2 - 4(5) = -22
It is < -5
INCORRECT

Test (1,-1)
y - 4x = -1 - 4(1) = -5
It is ≥ -5.
CORRECT

Answer: The correct answers are
(-2,1)
(-4,2)
(1,-1)

You might be interested in

Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)

lisov135 [29]

Answer:

(a) The system of the equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ has no solution.

(b) The system of the equations $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ has many solutions $y=\frac{2x}{3}-\frac{5}{3}$

Step-by-step explanation:

(a) To find the solutions of the following system of equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ you must:

Multiply $2x-3y=3$ by 2:

$\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}$

Subtract the equations

$4x-6y=3\\-\\4x-6y=6\\------\\0=-3$

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ you must:

Isolate x for $4x-6y=10$

$x=\frac{5+3y}{2}$

Substitute $x=\frac{5+3y}{2}$ into the second equation

$16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40$

The system has many solutions.

Isolate y for $4x-6y=10$

$y=\frac{2x}{3}-\frac{5}{3}$

3 0

3 years ago

Can anyone help me with 3 and 4

Gnoma [55]

No as they do not simplify into the same fraction
linear as it the volume is a fraction to the side

5 0

3 years ago

The width of a soccer field should be 60% of its length. Write and simplify an expression for the perimeter of a soccer field wi

iogann1982 [59]

Answer:

here you go

Step-by-step explanation:

W = (0.6) L

P = 2 ( L + W )

P = 2 [ L + (0.6) L ]

P = 2 ( 1.6 L )

P = (3.2) L

P = (3.2) x

4 0

3 years ago

if a label of can of soup were cut off and laid flat, which expression would give you area, a, of the label with measurements sh

padilas [110]

I don't have the measurements, but the lqbel would be a rectangle so you need to find its length and height (the length being the circumference of the can and the height being the height of the can)

8 0

3 years ago

Read 2 more answers

Which of the following is a pair of corresponding angles?

mart [117]

Answer:

Step-by-step explanation:

1 and 5

8 0

3 years ago