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2 years ago

12

What are the possible integer values of x when 3 < x < 7.

1 answer:

Naya [18.7K]2 years ago

5 0

Answer:

4,5 and 6

Step-by-step explanation:

If 3<x that means x>3

If x<7 that means 7>x

possible integer values are 4,5 and 6

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5. Sarahi found the distance between two points on a coordinate plane to be √74. Can this answer be simplified? Explain.

swat32

Answer:

The answer can't be simplified.

Step-by-step explanation:

In order to answer the question, you have to calculate the prime factors of 74 to see if the expression can be simplified.

If at least one of the prime factors has an exponent bigger or equal than 2 (because the expression has a squareroot), then the expression can be simplified using the properties of exponential numbers and irrational numbers to extract the factor or the factors from the squareroot.

(For example the property $\sqrt[n]{x^{k+n} } =\sqrt[n]{(x^{k})(x^{n})}=x\sqrt[n]{x^{k} }$ )

Calculating the prime factors:

74/2 = 37 but 37 is a prime number so:

37/37 =1

74 = 2 x 37

Therefore, $\sqrt{74}$ can't be expressed as a simplier number.

8 0

3 years ago

What is 84 divided by 1365?

Alekssandra [29.7K]

Answer:

0.06153846153

8 0

3 years ago

Which function has a range of y<3?<br> y=3(2)<br> y=2(3)<br> O y=-(2)* +3<br> O y= (2)* - 3

VARVARA [1.3K]

option C is correct.

<u>Step-by-step explanation:</u>

If a function is defined as

$f(x)=a^x$ where, a>0, then the range of the function is greater than 0.

$a^x>0$ .... (1)

Option A: Using inequity (1),

$2^x>0$

Multiply both side by 3.

$3(2^x)>0$

The range of first function is y>0. Therefore option A is incorrect.

Option B: Using inequity (1),

$3^x>0$

Multiply both side by 2.

$2(3^x)>0$

The range of second function is y>0. Therefore option B is incorrect.

Option C: Using inequity (1),

$2^x>0$

Multiply both side by -1.

$-2^x$

Add 3 on both the sides.

$-2^x+3$

$y$

The range of first function is y<3. Therefore option C is correct.

Option D: Using inequity (1),

$2^x>0$

Subtract 3 from both the sides.

$2^x-3>-3$

$y>-3$

The range of second function is y>-3. Therefore option D is incorrect.

7 0

3 years ago

Which of the following are solutions to the equation below? Check all that apply. 9x^2-64=0

nikdorinn [45]

Answer:

E. -8/3

F. 8/3

Step-by-step explanation:

9x^2-64=0

Add 64 to each side

9x^2-64+64 = 0+64

9x^2 =64

Divide each side by 9

9x^2/9 = 64/9

x^2 = 64/9

Take the square root of each side

sqrt(x^2) = ±sqrt(64/9)

We know that sqrt(a/b) = sqrt(a)/sqrt(b)

x = ±sqrt(64)/sqrt(9)

x = ± 8/3

4 0

3 years ago

Help me please it’s question 33

shtirl [24]

I don’t see anything. What is the problem.

8 0

3 years ago

Read 2 more answers