True or False
a = 6 is a solution to the inequality below:

a/2 < 4

( The < is underlined)

[tex] {\large\underline{\sf{Solution-}}}[/tex]

Given function is

[tex]\rm \longmapsto\:y = \sqrt{ {x}^{2} - 4} [/tex]

We know

Domain of a function is defined as set of those real values of x for which function is well defined.

So, y is defined when

[tex]\rm \longmapsto\: {x}^{2} - 4 \geqslant 0[/tex]

[tex]\rm \longmapsto\: {x}^{2} - {2}^{2} \geqslant 0[/tex]

[tex]\rm \longmapsto\: (x - 2)(x + 2) \geqslant 0[/tex]

[tex]\rm\implies \:x \leqslant - 2 \: \: or \: \: x \geqslant 2[/tex]

[tex]\rm\implies \:x \: \in \: ( - \infty , \: - 2] \: \cup \: [2, \: \infty )[/tex]

Now, To find the range of function

We know,

Range of a function is defined as set of those real values which is obtained by assigning the values to x.

So,

[tex]\rm \longmapsto\:y = \sqrt{ {x}^{2} - 4} [/tex]

On squaring both sides, we get

[tex]\rm \longmapsto\: {y}^{2} = {x}^{2} - 4[/tex]

[tex]\rm \longmapsto\: {y}^{2} + 4= {x}^{2}[/tex]

[tex]\rm \longmapsto\:x = \sqrt{ {y}^{2} + 4 } [/tex]

Now, x is defined when

[tex]\rm \longmapsto\: {y}^{2} + 4 \geqslant 0 \: which \: is \: always \: true \: \forall \: y \in \: real \: number[/tex]

But,

[tex]\rm \longmapsto\:y \geqslant 0[/tex]

Hence,

[tex]\rm\implies \:Range \: of \: function \: = [0, \: \infty )[/tex]

So, we have

[tex]\rm\implies \:Domain \: of \: function : x \: \in \: ( - \infty , \: - 2] \: \cup \: [2, \: \infty )[/tex]

and

[tex]\rm\implies \:Range \: of \: function \: = [0, \: \infty )[/tex]

Answer:

Step-by-step explanation:

One snake gives 120 calories, so 3 snakes = 360 and 5 snakes = 600 calories.

The eagle can have 3 - 5 snakes per day

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required number of snakes is ~

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Minimum number of snakes that the eagle need to eat to maintain its energy level ~

Maximum number of snakes that the eagle should eat to maintain the level of energy ~

So,

The Eagle should have 3 - 5 snakes per day ~

Answer:

Step-by-step explanation:

2.  Should be 500

8.  Should be 290

The rest are correct

Answer:

1. 100 good job

2. 500 round to the nearest hundred either 400 or 500. 500 is closer.

3. 9,000 good job

4. 7,800 good job

5. 250 good job

6. 4,000 good job

7. 6,800 good job

8. 290 round to the nearest 10 either 290 or 300 290 is closer

9. 400 good job

10. 8,000 good job

Step-by-step explanation:

Rounding to the nearest number is up at 5 and below for 4 and less. The same concept applies to larger numbers.

Answer:

Add 8 and 8 and then add 5and 5 and get answer 16

Step-by-step explanation:

Answer:

The aswer is 1:00 AM to 1:00 PM.

Step-by-step explanation:

Answer:

6543÷29

=225.620.......

Answer:

The answer is 7/45

Step-by-step explanation:

First you make 3 3 /4 into an improper fraction which becomes 15/4

Next, you do KFC which is keeping 7/12, making the division sign into multiplication, and then finally you flip 15/4 to 4/15.

Your final answer is 7/45

Hope that helped! Can I also get brainliest? I need a few more to advance, if not thank you anyways and have a nice day!!!

Answer:

50°

Step-by-step explanation:

Please leave a “thanks” heart if I helped.

Answer:

m=5

Step-by-step explanation:

We can solve this by using a system of equations. The easiest way to solve this is by using substitution.

3m=19-n       Subtract both sides by 19 to find n.

-19  -19

3m-19=-n      Divide everything by -1 to make n positive.

/-1        /-1

n=-3m+19

Now, we can substitute n into the second equation.

2m+5(-3m+19)=30    Substitute (-3m+19) into n.

2m-15m+95=30       Simplify.

-13m+95=30              Simplify and subtract both sides by 95.

        -95 -95

-13m=-65                    Divide both sides by -13.

/-13    /-13

m=5

We don't need to solve for n at all, so that is the answer!

Hope this helps, and have an amazing day ♥

Answer:

0.48

Step-by-step explanation:

jou just have move point from right to left like this 48 rite so 48. =because have to zero u hqve move two place left so it will be 0.48

Answer:

0.48

Step-by-step explanation:

48 divided by 100=0.48

Answer:

Rhombus

Step-by-step explanation:

So if |AB| = |BC| then ABCD is a rhombus and has a second line of reflective symmetry, namely \overleftrightarrow{BD}. Quadrilateral ABCD is what is called a kite.

Since ℓ contains two vertices of ABCD the other two must be reflections of one another about ℓ. In the picture ℓ goes through A and C and D=rℓ(B). So rℓ interchanges AD¯¯¯¯¯¯¯¯ and AB¯¯¯¯¯¯¯¯ and also interchanges CB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯. So if |AB|=|BC| then ABCD is a rhombus and has a second line of reflective symmetry, namely BD←→. Quadrilateral ABCD is what is called a kite. Note that we have implicitly used the fact that ABCD is convex: without this hypothesis, the vertex C could be reflected over BD←→, giving a non convex quadrilateral with exactly one line of symmetry.

Rectangle has rotational and reflectional symmetry.

What is Quadrilateral?

A quadrilateral is a polygon having four sides, four vertices and four angles.

Given that;

Quadrilateral ABCD has both reflection and rotation symmetry.

Now,

A rectangle ABCD has a reflection symmetry because it has two line of symmetry.

And, Rotational symmetry is defined as the number of times an object is exactly identical to the original object in a complete 360° rotation.

So, Rectangle ABCD has rotational symmetry.

Thus, Rectangle has rotational and reflectional symmetry.

Learn more about the quadrilateral visit:

https://brainly.com/question/9890925

#SPJ2

Answer:

g(x) = (x+18)(x-3)

Step-by-step explanation:

Answer:

Same Side Interior Angles

Step-by-step explanation:

Angle 7 and angle 14 are both inside of the two transversal lines E and M, and are on the same side of the line Q, making them both same side interior angles

-Chetan K

Answer:

Suppose that a couple invested $50,000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, ( A ) Give an exponential model for the situation, and ( B ) Will the money be doubled by the time the child turns 18 years old?

( A ) First picture signifies the growth of money per year.

( B ) Yes, the money will be doubled as it's maturity would be $108,537.29.

a = p(1 + \frac{r}{n} ) {}^{nt}a=p(1+

n

r

)

nt

a = 50.000.00(1 + \frac{0.044}{1} ) {}^{(1)(18)}a=50.000.00(1+

1

0.044

)

(1)(18)

a = 50.000.00(1 + 0.044) {}^{(1)(18)}a=50.000.00(1+0.044)

(1)(18)

a = 50.000.00(1.044) {}^{(18)}a=50.000.00(1.044)

(18)

50,000.00 ( 2.17074583287910578440507440 it did not round off as the exact decimal is needed.

a = 108.537.29a=108.537.29

Step-by-step explanation:

Hope This Help you!!

Answer: 45

Step-by-step explanation:

Answer:

d=-7

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

d=-23.934375

Step-by-step explanation:

Step-by-step explanation:

According to the zero property of exponents, any number (other than 0) raised to the power of zero is always equal to 1.

The problem with this question is the simple fact that in this format it is confusing.

So, -(4^0) = -1 × (4^0) = -1x1 = -1

and, (-4)^0 =1

Answer:

thanks thanks thanks thanks thanks thanks for your points

Answer:

your answer i think is 2/3 sorry if i'm wrong

Step-by-step explanation:

Answer:

100 i believe

Step-by-step explanation:

I guess subtract 45 from 145

Answer:

80 look at the angels it 80! i had the same exact test today

Step-by-step explanation:

The quantity of a 40% iodine solution that must be added to 40 gallons of a 15% iodine solution to make a 20% iodine solution is: 10 gallons.

According to the question;

Let gallons of a 40% iodine solution to be added be; x gallons.

Therefore, the total gallons of a 20% iodine solution obtained is; (40+x) gallons.

By mass balance of iodine in each solution;

In essence; 10 gallons of a 40% iodine solution must be added to make a 20% iodine solution.

Read more:

https://brainly.com/question/20730855

Answer:

Angle A is also the measurement of 48 degrees because the dashes on the triangle lines indicate that they are the same.

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

the form you're using is slope-intercept. That is

y=mx+b

where y= y coordinate

m=slope

x= x coordinate

and b= y intercept

so, m in that equation is 1/6, so the slope is 1/6

Hope this helps!

Step-by-step explanation:

x increases continuously in steps of 2, y increases continuously in steps of 3.

so the slope of the line is y difference / x difference = 3/2. and the slope is siesta the factor of x in the equation

the line equating looks so far like

y = (3/2)×x + b

to get b we use one of the x and y pairs like (2, 5) and put these values in :

5 = (3/2)×2 + b = 3 + b

b = 2

so, the full equation is

y = (3/2)×x + 2

Step-by-step explanation:

wjjdjrjdjdjdudidjdkdk pick the C

Answer:

D,

Step-by-step explanation:

Step 1: 47-12=27, 27+(-27)=0

step 2: 27/2=13.5, 2c/2=c

step 3, change 13.5 to fraction which is 13 1/2

(hope it's helpful :)