Open-Ended Write three equations with variables on both sides of the equal sign with one having no solution, one having exactly one solution, and one being an identity. please help guys

Step-by-step explanation:

half life time-50%-8.4hr

so for 10%- 8.4/5=1.68 hr

now for 70%

1.68 × 7 = 11.76 hrs

to one decimal place - 11.8hrs

11.8 hours ago, there were 70% more of the substance if an isotope of lead has a half-life of 8.4 hours.

Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.

Half-life period - 50% -8.4hours

so for 10%- 8.4/5 = 1.68 hour

now for 70%

1.68 × 7 = 11.76 hours

To one decimal place - 11.8hours

Hence, 11.8hours is the answer.

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Answer:

infinite solutions

Step-by-step explanation:

4x = 2x + 2x + 5(x-x)

Simplify

4x = 2x + 2x + 5*0

4x = 2x + 2x

4x = 4x

Divide by x

4 =4

This is always true so this has infinite solutions

Answer:

4) 3(x+2)

5) Cannot be factored

6)3(4x+10y)

Step-by-step explanation:

4)3x+6

3(x+2)

Proof:

3(x+2)

3x+6

5)2x-15

Cannot be factored.

6)12x+30y

3(4x+10y)

Proof:

3(4x+10y)

12x+30y

Hope this helps ;) ❤❤❤

Answer:

Hey there!

What we know:

What we would like to know:

First, let's find AB.

Sine 58= AB/65

Solving for AB, we see that it is about 55.12 m.

Next, let's find BD.

Sine 42= BD/55.12

Solving for BD, we see that it is about 36.88 m.

Let me know if this helps :)

Answer:

1. b.  2. a.  3. a.

Step-by-step explanation:

1. (f + g)x = f(x) + g(x)

= x^2 + 2x + 4

(f + g)(-1) =  (f + g)(x)  where x = 1 so it is

(-1)^2 + 2(-1) + 4

=  1 - 2 + 4

= 3.

2.  We find (f o g)(x) by replacing the x in f(x) by g(x):

= √(x + 1) and

(f o g)(3) =  √(3 + 1)

= √4

= 2.

3. (f/g) c  = f(x) / g(x)

= (x - 3)/(x + 1)

The domain is the values of x which give real values of (f/g).

x cannot be - 1 because the denominator x + 1 = -1+1 = 0 and dividing by zero is undefined. So x can be all real values of x except x = -1.

The domain is (-∞, -1) U (-1, ∞)

Answer:

8!

Step-by-step explanation:

SIMPLIFY

6X-12=4X+4

PUT LIKE TERMS TOGETHER

6X-4X=4+12

SIMPLIFY

2X=16

X=16/2

X=8

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

        ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                       PEACE!

Hey there! I'm happy to help!

First, let's use the distributive property to remove the parentheses. We multiply the number on the outside by each number on the inside.

3(2x-4)

We multiply the 3 by the 2x, giving us 6x, and we multiply the 3 by the -4, giving is -12.

4(x+1)

We do 4 times x which is 4x, and 4 by 1, which is 4.

This gives us this equation.

6x-12=4x+4

Now, we want to solve for x. We want to move all the numbers to the right side and all the x's to the left side so we can figure out what x is equal to.

6x-12=4x+4

We add 12 to both sides, canceling it out on one side and adds it to the other to keep the equation at the same value.

6x=4x+16

We subtract 4x from both sides.

2x=16

We divide both sides by 2.

x=8

Have a wonderful day! :D

Answer:

The scaling factor is 4.

Step-by-step explanation:

To find the scaling factor from A to B, we must know that these are similar triangles.  Since this is not stated in the problem, we will assume these are similar triangles.

Similar triangles simply have the same scaling ratio, allowing for any size triangle to be created with the same relative dimensions.  With this in mind, let's check to see the multiple of each side by simply taking the sides of the triangle B divided by the sides of triangle A.

40 / 10 = 4

44 / 11 = 4

72 / 18 = 4

Notice how each of the sides from triangle B to triangle A has the same multiple, 4.  This tells us that the scale from A to B is 4.

Hence, the scaling factor is 4.

Cheers.

Answer:

∠2 ≅ ∠6

Step-by-step explanation:

Answer:

❁ 25% ❁

Explanation:

❁ The answer would be 25% ❁

Answer:

2

Step-by-step explanation:

The value of the expression |5x + 1 / 2y²| when x = 3 and y = 2 will be 2.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The expression is given below.

⇒ |5x + 1 / 2y²|

The value of the expression at x = 3 and y = 2, then we have

⇒ |5(3) + 1 / 2(2)²|

⇒ |15 + 1 / 2(4)|

⇒ |16 / 8|

⇒ 2

The value of the expression |5x + 1 / 2y²| when x = 3 and y = 2 will be 2.

More about the function link is given below.

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Answer:

[tex]\boxed{y = -2}[/tex]

Step-by-step explanation:

Hey there!

To find y when x is -5 we go to -5 on the x-axis.

When at -5 find where the blue line is vertical to -5,

which is -2.

Hope this helps :)

Answer:

7 units

Step-by-step explanation:

(number line:)

<- -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ->

         there are 7 units from 1 to -6 (you don't count the 0)

(I'm not sure if you understood my explanation, but I do am sure about the answer, so if there is something you didn't understand let me know, and which part are you confused about so I can help you out!)

Answer:

[tex]\huge\boxed{\sf 7\ units}[/tex]

Step-by-step explanation:

To find that how much far they are from each other, we can subtract both of them.

=> 1 - (-6)

=> 1 + 6

=> 7 units

So, they are 7 units apart from each other.

Answer:

The answer to your question is 4.

Step-by-step explanation:

Evaluating and simplifying the expression comes to a result of four using the order of operations. Hope this helps you!

Answer:

810 cubic centimetres

Step-by-step explanation:

If the box has a square base, the length and breadth of the box are the same. In this case, it's 9cm

The formula for the area of a rectangular prism is

A = lbh

where

l = length

b = breadth

h = height

Therefore the area is 9x9x10 = 810cm³

Answer:

V = 810 cm³

Step-by-step explanation:

V = Ab × h

Ab = s² = (9cm)² = 81 cm²

V = 81cm²×10cm = 810 cm³

Answer:

3(4)to the 3

Step-by-step explanation:

Answer:

330 degrees

Step-by-step explanation:

Answer: 300deg

Step-by-step explanation:

Answer:

Even function.

Step-by-step explanation:

An odd function has symmetry with respect to the origin.

[tex]\text{A function is odd }\Leftrightarrow f(-x)=-f(x)[/tex]

The sine function is an odd function:

[tex]\sin(-\theta)=\sin(\theta)[/tex]

An even function has symmetry with respect to the y-axis.

[tex]\text{A function is even}\Leftrightarrow f(-x)=f(x)[/tex]

The cosine function is an even function:

[tex]\cos(-\theta)=\cos(\theta)[/tex]

Is the function [tex]f(\theta)=2\cos(\theta)[/tex] an odd or even function?

It is an even function.

What happens in the function is a vertical stretch by a factor of 2. The y-intercept is equal to 2.  

Answer:The minimum of function A occurs 1 unit higher than the minimum of function B.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Trust

Answer:

Total distance = 30 m

Step-by-step explanation:

Given:

AC : EC = 1:1

AC = 4x − 3 and EC = 2x + 6

Find:

Total distance

Computation:

AC = EC

So,

4x - 3 = 2x + 6

2x = 9

x = 4.5

AC = 4(4.5) - 3 = 15 m

EC = 2(4.5) + 6 = 15 m

Total distance = AC + EC

Total distance = 15 m + 15 m

Total distance = 30 m

The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m

Given that a new bridge structure requires triangles that are in a ratio of 1:1 with the following parameters

AC = 4x - 3

EC = 2x + 6

Since the measure are in the same ratio, henec;

AC = EC

4x - 3 = 2x + 6

4x - 2x = 6 + 3

2x = 9

x = 4.5

Get the

AC = EC = 4x - 3

AC = EC = 4(4.5) - 3 = 15feet

The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m\

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Answer:

[tex]\boxed{r=3}[/tex]

Step-by-step explanation:

We can use SAS ≅ SAS congruence to validate that the triangles are similar (both share the same side, have another congruent side, and have a congruent angle).

Because the sides are congruent, set them equal to each other and solve for r.

18 - 2r = 4r

18 = 6r

3 = r ⇒ [tex]\boxed{\bold r = 3}[/tex]

Therefore, the answer is D.

Answer:

r = 3

Step-by-step explanation:

Here Triangle ALR is divided precisely in half by the vertical side LU.  The two triangles thus formed are therefore congruent.

Thus, 18 - 2r = 4r, and 6r = 18.  Then r = 3.

Answer:

the answer is D

Step-by-step explanation:

y=x-1

2=3-1

2=2

y=-3x+11

2=-3(3)+11

2=-9+11

2=2

Answer:

Step-by-step explanation:

If both lines pass through the point (3, 2), we automatically know that (3, 2) is the soution of the system of linear equations given here, AND that (3, 2) is a solution of equation A and equation B both.

Answer:

d

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc, thus

arc AX = 2 × 64° = 128°

The secant- tangent angle ACB is half the difference of the measures of its intercepted arcs, thus

∠ ACB = [tex]\frac{1}{2}[/tex] ( 152 - 128)° = 0,5 × 24° = 12° → d

Answer:

The correct answer is;

ΔGIT≅ ΔNIA by Side Angle Side (SAS) rule of congruency

Step-by-step explanation:

The given information are;

The point of intersection of GA ∩ TN = I

Segment TI is congruent to segment NI (Given)

Segment GI is congruent to segment IA (Given)

Angle ∠GIT is congruent to angle ∠AIN (Vertically opposite angles)

Therefore, we have;

Triangle, ΔGIT is congruent to triangle ΔNIA (Side Angle Side (SAS) rule of congruency)

Two triangles are said to be congruent by the Side Angle Side (SAS) rule of congruency,  when two of the sides and the included angle (the angle in between the two sides) of one of the triangle are equal to two sides and the included angle of the other triangle.

Therefore, the correct answer is ΔGIT≅ ΔNIA by Side Angle Side (SAS) rule of congruency

Answer:

△GIT≅△AIN

By Rule: SAS

Answer:

x = 0, x = 4

Step-by-step explanation:

12x - 21 = 5x + 7(x - 3)

First, foil out the right side --> 5x² - 15x + 7x - 21, which simplifies down to 5x² - 8x - 21.

Move the 12x - 21 to the right side by subtracting --> 0 = 5x² - 20x.

Factor out a 5x --> 0 = 5x(x - 4)

If you want to solve for x, set 5x = 0 and x - 4 = 0.

For 5x = 0, divide both sides by 5 to isolate the x --> x = 0/5, which simplifies down to x = 0.

For x - 4 = 0, add 4 to both sides to isolate the x --> x = 0 + 4, which simplifies down to x = 4.

Plug the values back into the original equation to check if it works

12(0) -21 = 5(0) + 7((0) - 3) --> -21 = -21

12(4) - 21 = 5(4) + 7((4) -3) --> 27 = 27

Hope this helps!

Answer:

x = 148

Step-by-step explanation:

CPD is a straight line so it equals 180

CPB + BCD = CPD

x + 32 = 180

Subtract 32 from each side

x+32-32 = 180-32

x =148

Answer:

there's two

Step-by-step explanation:

q=(4-√24)/2=2-√6=-0.449

and

q=(4+√24)/2=2+√6=4.449

Answer:

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

x2 - y2 - z2 if x=-2, y=3, and z=4

x2 - y2 - z2

(-2) 2 - (3)2 - (4)2

(-4) - (6) - (8)

-10 -8

-18

Answer:

18

Step-by-step explanation:

Answer:

[tex]x > 1610[/tex]

Step-by-step explanation:

Given that the empire fell in 1610

Required

Represent years after the fall of the empire using inequality

From the question, we understand that

1. x represent years

2. The empire fell in 1610

This implies that, years before (and including) 1610 are invalid and we only have to consider years after 1610;

Years such as 1611, 1612, 1613.......

All the aforementioned years are greater than 1610;

The keyword is greater than 1610

And this can be represented as [tex]x > 1610[/tex]