All categories

1 year ago

Is the ordered pair (0, 4) a solution of the inequality y≤x−3? Explain.

Mathematics

2 answers:

matrenka [14]1 year ago

8 0

The given ordered pair is not the solution for y ≤ x − 3.

<h3>What is linear inequality?</h3>

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The inequality is given as y ≤ x - 3.

The x coordinate for the ordered pair (0,4) is 0.

And, the y coordinate is 4.

Substitute the value of x and y in the given inequality as follows,

y ≤ x - 3

=> 4 ≤ 0 - 3

=> 4 ≤ -3

Which is not true.

Hence, the ordered pair (0, 4) is not solution of the inequality y ≤x − 3.

To know more about linear inequality click on,

brainly.com/question/11897796

#SPJ1

Andrew [12]1 year ago

4 0

The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality.

<h3>What is inequality?</h3>

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given inequality,

y ≤ x - 3

Put x = 0

y ≤ 0 - 3

y ≤ -3

Since 4 ≤ -3 is the wrong statement thus it will not satisfy the inequality.

Hence "The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality".

For more about inequality,

brainly.com/question/20383699

#SPJ1

You might be interested in

Solve for u. u+1/4=-4/5

DedPeter [7]

Answer:

u = (-21)/20

Step-by-step explanation:

Solve for u:

u + 1/4 = (-4)/5

Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u)/4 + 1/4:

(4 u)/4 + 1/4 = -4/5

(4 u)/4 + 1/4 = (4 u + 1)/4:

1/4 (4 u + 1) = -4/5

Multiply both sides of (4 u + 1)/4 = (-4)/5 by 4:

(4 (4 u + 1))/4 = (-4)/5×4

4×(-4)/5 = (4 (-4))/5:

(4 (4 u + 1))/4 = (-4×4)/5

(4 (4 u + 1))/4 = 4/4×(4 u + 1) = 4 u + 1:

4 u + 1 = (-4×4)/5

4 (-4) = -16:

4 u + 1 = (-16)/5

Subtract 1 from both sides:

4 u + (1 - 1) = (-16)/5 - 1

1 - 1 = 0:

4 u = (-16)/5 - 1

Put (-16)/5 - 1 over the common denominator 5. (-16)/5 - 1 = (-16)/5 - 5/5:

4 u = (-16)/5 - 5/5

-16/5 - 5/5 = (-16 - 5)/5:

4 u = (-16 - 5)/5

-16 - 5 = -21:

4 u = (-21)/5

Divide both sides by 4:

u = ((-21)/4)/5

5×4 = 20:

Answer: u = (-21)/20

3 0

3 years ago

A cell phone company $500 for a new phone and $60 for a monthly plan. If C(t) is a rational function that represents the average

lisov135 [29]

The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: $R: (500, \infty)$

Given that:

$Phone = \$500$

$Monthly\ Plan = \$60$

Let the number of months be t. So, the function C(t) is calculated as follows:

$C(t) = Phone + Monthly\ Plan \times t$

$C(t) = 500 + 60 \times t$

$C(t) = 500 + 60t$

The range is calculated as follows:

The smallest possible value of t is 0 i.e. when no monthly subscription is done.

So, we have:

$C(0) = 500 + 60\times 0= 500 + 0 = 500$

And the highest is $\infty$ i.e. for a large value of t

So, we have:

$C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty$

Hence, the range of the function is:

$R: (500, \infty)$

Read more about range of functions at:

brainly.com/question/13824428

5 0

3 years ago

Help me plz:<br><br> 8. Multiply the following:<br><br> c. (3s^4)(-6s^5)

ratelena [41]

Answer:

-18 s9

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the value of the expression? 8 x (-4.8) divided by (-4)

valentina_108 [34]

The answer is D.9.6. This is because you multiply 8 x (-4.8)= -38.4 and since you divided it by another negative it becomes positive. Hope this helped.
<span />

6 0

3 years ago

Read 2 more answers

Hurry show your work

Nikolay [14]

Answer: $\huge\boxed{\boxed{15}}$