graphical representation of 2x – 1 = 3?

Answer:

‼️A) 12‼️

Step-by-step explanation:

Key skills needed: Interior Angle Measure Theorem, Equation Creation

Step 1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    S = (n - 2)180S=(n−2)180

S is the sum of all interior angle measures

n is the number of sides of the polygon

Step 2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> S = (7-2)180S=(7−2)180

---> (7-2) is 5 since 7 - 2 = 5 so --> S = 5(180)S=5(180)

---> 5(180) is the same as 5 x 180 which is 900 so --> S = 900S=900

This means that the sum of all interior angles is 900 degrees.

Step 3) Now, we have to find out the sum of all the angles that they gave us so:

---> 10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 90010x+10x+9+133+9x+14+12x−9+10x+5+136=900

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

Step 4) We have to combine all like terms on the left side:

---> 10x + 10x + 9x + 12x + 10x = 51x10x+10x+9x+12x+10x=51x

---> 9 + 133 + 14 -9+5+136 = 2889+133+14−9+5+136=288    

Step 5) This means that ---> 51x + 288 = 90051x+288=900

Subtract 288 from both sides  and get:

---> 51x = 61251x=612    (900-288 = 612)

Then divide by 51 from both sides and get:

---> x = 12x=12     (612 ÷ 51 = 12)

Therefore A) 12 is your answer.

I think it should be none of these.

The term on the left has to be even no matter what value of x and the right has to be odd no matter what value of x. Therefore, there shouldn't be an integer value of x that satisfies the equation, let alone the answer choices A-D.

Answer:

-1425

Step-by-step explanation:

Day 1 - 475

Day 2 -475

Day 3 - 475

-475+ -475  + -475 = -1425

Answer:

x= 1.961

Step-by-step explanation:

Marcel's ,P = 2500 , T = 3, R = 1.6%

SI = PRT/100

=(2500×1.6×3)÷100

Jacques's , P = 2000 , T = 3, R = x%

CI = P( 1 + R/100)^T -P

2000(1 + x/100)^3 -2000

But this is equal to 120

(1 + x/100)^3 = 2120/2000

x= 1.961

I hope this helps !!!!!!!!!!!

Answer:

x = 29

Step-by-step explanation:

ΔABC ≅ ΔDEC,

So, ∠BAC  ≅∠CDE    {Corresponding parts of congruent triangles}

∠BAC = 74°

InΔABC,

∠ABC + ∠BAC + ∠BCA = 180

2x + 74 + 48 = 180

2x + 122 = 180  

Subtract 122 from both sides

2x = 180 - 122

2x = 58

Divide both sides by 2

x = 58/2

x = 29

Answer:

120 kg in morning and 240 kg in afternoon

Step-by-step explanation:

x+2x=360 kg

Work:

x + 2x = 360 kg

3x = 360 kg

3x/3 = 360 kg/3

x = 120

2x=2(120 kg) =240 kg

Final Answer:

So, 120 kg in morning and 240 kg in the afternoon.

Hope this helps!

Answer:

[tex]3x^{2} \sqrt10[/tex]

Step-by-step explanation:

Answer:

m<2 + m<3

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.

<4 is an exterior angle of the triangle.

Angles 2 and 3 are the remote interior angles of <4.

m<4 = m<2 + m<3

Answer: m<2 + m<3

Answer:

<4 = <2 + <3

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

<4 = <2 + <3

Answer:

The answer is below

Step-by-step explanation:

If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel.

If two angles are supplementary to the same angle, then the two angles are congruent.

Statement                                         Reason

1) line p is parallel to line q               Given

2) angle 1 and angle 4 are               Given

supplementary i.e. ∠1 + ∠4

= 180° (definition of supplementary)

3) angle 3 and angle 4 are              consecutive interior angles

supplementary

4) angle 1 congruent to angle 3       congruent supplements theorem

supplementary

5) line r parallel to line s                  corresponding angle converse

Answer:

[tex]f(x)=x^3[/tex]

Step-by-step explanation:

The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of [tex]f(x)=x^3[/tex]. From here we're in simplest form, since [tex]y=x[/tex] or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.

==========================================================

Explanation:

Focus on triangle TUS. The inner angles here are:

Note how the angle measure for S is the supplement of 2x, which is adjacent to the angle S we have.

Add up those three angles and set the sum equal to 180

T+U+S = 180

y+x+180-2x = 180

y-x = 180-180

y-x = 0

y = x

We'll use this later.

-----------------

The diagram shows that angle VTU = y+y = 2y.

Focus your attention on triangle TUV.

Since TU = UV, this means the base angles T and V (which are opposite the congruent sides) are congruent angles. We found that angle T was 2y earlier. This means angle V is also 2y.

-----------------

Now shift your focus to triangle TSV.

This triangle has the inner angles

Recall earlier that we found y = x at the conclusion of the first section. Using that and the fact that the angles of triangle TSV add to 180, we get...

T+S+V = 180

2x+y+2y = 180

2x+3y = 180

2x+3x = 180 .... replace y with x, since y = x

5x = 180

x = 180/5

x = 36

This is the value of y as well.

Answer:

[tex]62 in^2[/tex]

Step-by-step explanation:

[tex]===========================================[/tex]

Formulas:

Area of a rectangle/square:

[tex]A=lw[/tex]

[tex]===========================================[/tex]

Big Rectangles (2):

7*3=21

Multiply by 2

21*2= 42 in

Long rectangles (2)

7*1=7

Multiply by 2

7*2= 14 in

Short rectangles (2):

3*1=3

Multiply by 2

3*2= 6 in

Total:

Add.

42+14+6= 62 in2

Answer:

good evening good evening good evening good evening

Recall that 2⁴ = 16. So you have

2⁶⁰ = 2⁴ˣ¹⁵ = (2⁴)¹⁵ = 16¹⁵

Answer: 3 Jars

Step-by-step explanation:

Given

A batch of peanut butter cookies requires [tex]\frac{3}{4}[/tex] of a jar

For 3 batches of Cookies, No of Jars required

[tex]\Rightarrow 3\times \dfrac{3}{4}=\dfrac{9}{4}\\\\\Rightarrow \dfrac{9}{4}=2+\dfrac{1}{4}[/tex]

That is 2 complete Jar and one-fourth of third. In totality, it would be 3

jars.

==========================================================

Explanation:

125 = 5^3

If n = 5^p, where p is some positive whole number, then

125n = 5^3*5^p = 5^(3+p)

So that's why I made n some power of 5.

To be a perfect square, the exponent 3+p must be even

Since we want 125n to be as small as possible, we'll go with the smallest possible p here which is p = 1. Note how 3+p = 3+1 = 4 is even.

Furthermore, note that 5^(3+p) = 5^4 = 625

The square root of 625 is 25

We could write it like this

[tex]\sqrt{5^4} = \sqrt{(5^2)^2} = 5^2 = 25[/tex]

Showing that 5^4 = 625 is a perfect square number.

So because p = 1, this makes n = 5^p = 5^1 = 5.

Answer:

125+19= 144=12^2 is the answer.

Step-by-step explanation:

Hope it will be helpful.

Answer:

(1.5 ,1)

Step-by-step explanation:

f(x) = g(x) where the two graphs intersect

x=1.5 and y = 1

(1.5 ,1)

Answer:

Solution given:

Relationship between base and hypotenuse is given by Cos angle

Cos Angle(?)=base/hypotenuse

Angle{?}=Cos-¹(40/58)

Angle{?}=46°

The indicated angle is 46°

9514 1404 393

Answer:

  invalid

Step-by-step explanation:

There is more than one set of dimensions that will give a triangle with an area of 6. The fact that the area is 6 implies nothing about the dimensions (except that their product is 12).

The converse is invalid.

Answer:

The first sentence is valid but the second one is invalid.

Step-by-step explanation:

You can't say just because the area of the triangle is 6, its base is 3 and its height is 4, it might have a base of 1 and a hight of 12 so there are more than one answers for the second one.

Feel free to message me if you still have questions :)

Answer:

infjfkflflfmdbfufifldndndhfififkfnf

Answer: 3,-7/2

Step-by-step explanation:

Answer: 504 ways

Step-by-step explanation:

Given

There are nine different marbles in a bag

For the first time, there are 9 possible ways to draw a marble

After removal of first marble, there are 8 possible ways to draw a marble

for the third time, there are 7 possible ways

so, total ways to draw three marble are

[tex]\Rightarrow 9\times 8\times 7=504\ \text{ways}[/tex]

Answer:

I believe it is 3/4

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

The equivalent fraction of 45% is solved as follows:

First, we'll change the percentage to fraction which will be:

45% = 45/100

Then, we'll reduce to lowest term which will be:

45/100 = 9/20

Now, we'll convert the fraction to decimal which will be:

9/20 = 0.45

The mistake that Jenny made was that she divided 90 by 20. This will give 4.5.

Answer: The decimal equivalent is not correct. The decimal point is in the wrong position. The decimal point should be to the left of the 4, so the correct answer is 0.45.y-step explanation:

f-¹(x)=[tex]\frac{2-7x}{x+2}[/tex]

Answer:

Solution given:

f(x)=[tex]\frac{-2x+2}{x+7}[/tex]

Let f(x)=y

y=[tex]\frac{-2x+2}{x+7}[/tex]

Interchanging role of x and y

x=[tex]\frac{-2y+2}{y+7}[/tex]

doing crisscrossed multiplication

x(y+7)=-2y+2

now solve it:

xy+7x=-2y+2

keep like terms in one side

xy+2y=2-7x

take common

y(x+2)=2-7x

make a value of y

y=[tex]\frac{2-7x}{x+2}[/tex]

So,

f-¹(x)=[tex]\frac{2-7x}{x+2}[/tex]

Answer:

ƒ^-1 (x) = [tex]\frac{2-7x}{2+x}[/tex]

Step-by-step explanation:

Substitute y for f (x)

[tex]y = \frac{-2x+2}{x+7}[/tex]

Interchange x and y

[tex]x=\frac{-2y+2}{y+7}[/tex]

Swap the sides of the equation

[tex]\frac{-2y+2}{y+7} = x[/tex]

Multiply both sides of the equation by y + 7

-2y + 2 = (y + 7)x

Distribute x through the parentheses

-2y + 2 = xy + 7x

Move the expression/constant to the left-hand side and change its sign

-2y - xy + 7x - 2

Factor out  from the expression

(-2 - x)y = 7x - 2

Divide both sides of the equation by -2 - x

[tex]y = \frac{7x-2}{-2-x}[/tex]

Simplify the expression

[tex]y = \frac{2-7x}{2+x}[/tex]

Substitute ƒ ^-1 (x) for y

[tex]f^{-1} (x) = \frac{2-7x}{2+x}[/tex]

Answer:

Step-by-step explanation:

[tex] \sqrt[3]{6} . \sqrt[3]{4} [/tex]

[tex] = \sqrt[3]{6 \times 4} [/tex]

[tex] = \sqrt[3]{3 \times 2 \times 2 \times 2} [/tex]

[tex] = 2 \sqrt[3]{3} (ans)[/tex]

Answer:

7

Step-by-step explanation:

Answer:

I think it is d

Step-by-step explanation:

=========================================================

Explanation:

The uppercase E represents "ten to the"

So saying E8 means "ten to the 8th power"

In other words, 9.837 E 8 = 9.837 * 10^8

The exponent positive 8 tells us to move the decimal point over to the right 8 spots.

So that's how we go from 9.837 * 10^8 to 983,700,000

There are 5 zeros in that value after the "9837" portion.

When we move from 9.837 to 9837.0, that's exactly 3 spots so far. Then the decimal point has to move another 5 spots to go from 9837.0 to 983,700,000 which is therefore 3+5 = 8 total shifts to the right.

The number 983,700,000 is slightly over 983 million. If anything, it's more closer to 984 million.

Answer: Standard Form = 983, 700, 000

Step-by-step explanation:

Concept:

The term "E" is usually used in calculators or on-screen which stands for exponents. It has been used to display numbers in scientific notations.  

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form. Usually in the form of [ a × 10ᵇ ] where a is a number 0<a<10 and b are integer exponents.  

"E" in simpler words is basically the base "10" in scientific notation, while the number after "E" would be the exponents on "10"

Solve:

Given = 9.837 E 8

"E" = 10

"8" = ⁸

E 8 = 10⁸

10⁸ basically means that there are 8 zeros after 1.

Therefore, to find the standard form of 9.837E8, we have 3 zeros to get 9.837 to become an integer, then add the remaining 5 zeros at the end to get the final answer.

Hope this helps!! :)

Please let me know if you have any question