All categories

3 years ago

Which statement is not always true?

1 answer:

6 0

Which statement is not always true?(1) The product of two irrational numbers is irrational.
(2) The product of two rational numbers is rational.
(3) The sum of two rational numbers is rational.
(4) The sum of a rational number and an irrational number is irrational.
The statement that is not always true is the <span>sum of two rational numbers is rational. The answer is number 3.</span>

You might be interested in

Let Q(x, y) be the predicate "If x < y then x2 < y2," with domain for both x and y being R, the set of all real numbers.

Levart [38]

Answer:

a) Q(-2,1) is false

b) Q(-5,2) is false

c)Q(3,8) is true

d)Q(9,10) is true

Step-by-step explanation:

Given data is $Q(x,y)$ is predicate that $x$ then $x^{2}$ . where $x,y$ are rational numbers.

when $x=-2, y=1$

Here $-2$ that is $x$ satisfied. Then

$(-2)^{2}$

$4$ this is wrong. since $4>1$

That is $x^{2}$ $>y^{2}$ Thus $Q(x,y)$ $=Q(-2,1)$ is false.

Assume $Q(x,y)=Q(-5,2)$ .

That is $x=-5, y=2$

Here $-5$ that is $x$ this condition is satisfied.

Then

$(-5)^{2}$

$25$ this is not true. since $25>4$ .

This is similar to the truth value of part (a).

Since in both $x$ satisfied and $x^{2} >y^{2}$ for both the points.

if $Q(x,y)=Q(3,8)$ that is $x=3$ and $y=8$

Here $3$ this satisfies the condition $x$ .

Then $3^{2}$

$9$ This also satisfies the condition $x^{2}$ .

Hence $Q(3,8)$ exists and it is true.

Assume $Q(x,y)=Q(9,10)$

Here $9$ satisfies the condition $x$

Then $9^{2}$

$81$ satisfies the condition $x^{2}$ .

Thus, $Q(9,10)$ point exists and it is true. This satisfies the same values as in part (c)

6 0

3 years ago

A rectangular lot is 145 yards long and 100 yards wide.

mr_godi [17]

Answer:

150 by 100

Step-by-step explanation:

5 0

3 years ago

Please help with this math expression

Sidana [21]

Answer:

Step-by-step explanation:

add together like terms.

5 0

3 years ago

Read 2 more answers

Xin Used 20 yards of fencing to build the walls of a square a chicken coop. Used 20 yards of fencing to build the walls of a squ

Gnoma [55]

Answer:

Equation: $20=4x$ or $x=\frac{20}{4}$

Solution: $x=5$

Step-by-step explanation:

The formula that is used to calculate the perimeter of a square is:

$P=4s$

Where "s" is the side lenght the square.

Knowing that Xin used 20 yards of fencing to build the walls of a square chicken coop (in which the lenght in yards of each wall is represented with "x"), you can identify that:

$P=20\\\\s=x$

Then, you can susbtitute values into the formula $P=4s$ :

$20=4x$

Finally, you must solve for "x" in order to find its value.

This is:

$\frac{20}{4}=x\\\\x=5$

6 0

3 years ago

4. Tabatha is dining out at Mandee's and decides to get an order of curly fries.

julsineya [31]

Answer:

$22.33

Step-by-step explanation:

A 20% tip would be 0.20. Multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total amount including tip.

subtotal --> $18.61

tip --> $3.72

18.61 x 0.20 = 3.72

total --> $22.33

5 0

3 years ago