3. Select ALL the equations that have the same solution as 2x - 5 = 15:A. 2x = 10B. 2x = 20C. 2(x - 5) = 15D. 2x - 20 = 0E. 4x - 10 = 30F. 15 = 5 - 2x

Answer:

There are 220 choices

Step-by-step explanation:

Given

\(People = 12\)

\(Selection =3\) (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

\(^nC_r = \frac{n!}{(n - r)!r!}\)

Where

\(n = 12\)

\(r= 3\)

So, we have:

\(^nC_r = \frac{n!}{(n - r)!r!}\)

\(^{12}C_3 = \frac{12!}{(12 - 3)!3!}\)

\(^{12}C_3 = \frac{12!}{9!3!}\)

\(^{12}C_3 = \frac{12*11*10*9!}{9!3!}\)

\(^{12}C_3 = \frac{12*11*10}{3!}\)

\(^{12}C_3 = \frac{12*11*10}{3*2*1}\)

\(^{12}C_3 = \frac{12*11*10}{6}\)

\(^{12}C_3 = 2*11*10\)

\(^{12}C_3 = 220\ ways\)

There are 220 choices

The unknown angle in the cyclic quadrilateral is as follows:

m∠CML = 109 degrees

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees.

Therefore, let's find m∠CML as follows:

Using the arc angle and opposite angle of a quadrilateral theorem,

6x + 25 = 1 / 2 (7x + 14 + 106)

6x + 25 = 1 / 2(7x + 120)

6x + 25 = 7 / 2 x + 60

6x - 7 / 2 x  = 60 - 25

6x - 3.5x = 35

2.5x = 35

divide both sides by 2.5

x = 35 / 2.5

x = 14

Therefore,

m∠CML = 6x + 25 = 6(14) + 25 = 84 + 25 = 109 degrees

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The answer is -9x + 6 2/3.

Answer:

\(y=\frac{3}{2} x+0\)

Step-by-step explanation:

points on the line are:-

\((0,0) and(2,3)\)

\(m=\frac{3-0}{2-0} =\frac{3}{2}\)

\(y=mx+b\)

\(y=\frac{3}{2} x+b\)

\(0=\frac{3}{2}(0)+b\)

\(0=b\)

so...

\(y=\frac{3}{2} x+0\)

\(---------\)

hope it helps...

have a great day!!

Answer:

a^2+b^2+2|a||b|≥a2+b2+2ab(|a|+|b|)2≥|a+b|2(∵∀x∈R;x2=|x|2)∴|a|+|b|≥|a+b|\

Step-by-step explanation:

Answer:

x-intercept is at (18, 0)

y-intercept is at (0, 360)

Answer:

ir

Step-by-step explanation:

irregular

regular

what do you notice different?

the both have r, e, g, u, l, a, r, but one has ir at the beginning.

Answer:

96 boxes of muffins

Step-by-step explanation:

so how you would get to this answer would be 1152÷12

12 is equal to a dozen and so that is why you divide it by 12

the answer would be 96

Answer:

77.43% decrease

Step-by-step explanation:

A decrease of 11% = (100 - 11)% = 89% = \(\frac{89}{100}\) = 0.89

A decrease of 13% = (100 - 13)% = 87% = \(\frac{87}{100}\) = 0.87

A 11% decrease followed by a 13% decrease has an overall change of

0.89 × 0.87 = 0.7743 × 100% = 77.43%

Answer:

D

Step-by-step explanation:

For simplify the work we can start to factorise all the possibles expressions:

2x + 8.

8 is multiple of 2, so it can became

2(x+4)

x^2 - 16 this is a difference of two squares, so it can be rewritten as:

(x+4)(x-4)

x^2 + 8x + 16

we have to find two numbers whose sum is 8 and whose product is 16

the two number are 4 and 4

it becames:

(x+4)(x+4)

x+ 4 can‘t be simplified

if we look at the expression, we can find that x-4 appears at the numerator so

x^2 - 16 must be at numerator

but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option

in fact

(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)

it became

(x+4)(x-4)/2 * 1/(x+4)(x+4)

(x-4)/2(x+4)

Answer:

Step-by-step explanation:

I got 100% on the test

Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

The measure of the segment OD is same as OE. Hence , OD = DE.

A straight line that only touches a circle once is said to be tangent to it. The term "point of tangency" refers to this point. At the point of tangency, the tangent to a circle is perpendicular to the radius.

Given: XY is the tangent to the circle with centre O at A and

∠CAX=∠BAY=60°

By Alternate Segment Theorem

∠BCA=∠BAY=60°

Similarly,

∠ABC=∠CAX=60°

Therefore, ΔABC is an equilateral triangle circumscribing the circle with centre O.

Thus, centre O is also the centroid.

⇒OA:OD=2:1

Also,

OA=OE            (Radii)

∴ OD=DE

Hence , OD = DE

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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The correct answer is obtained using substitution method. The solution to 3x - 5y and  4x + y² , when x = -8 and y=5 is -49, -7.

What is the substitution method ?

3x - 5y = 3.(-8) - 5.(5)

            = -24 - 25

            = -49

4x +  y² = 4.(-8) + 5.(5)

              = -32 + 25

              = -7

The correct answer is obtained using substitution method. The solution to 3x - 5y and  4x + y² , when x = -8 and y=5 is -49, -7.

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Answer:

Part A 12 ≤ 6x ≤ 36

Part B 2 ≤ x ≤ 6

Step-by-step explanation:

Usando un sistema de ecuaciones, hay que se elaboraron 6 títulos y 16 actas.

Para el sistema, hay que:

Total de 22 operaciones, o sea:

\(x + y = 22\)

$3500 por elaborar un título de propiedad y $2000 por el acta constitutiva de una empresa. Ingreso total de $53000, o sea:

\(3500x + 2000y = 53000\)

De el primer ecuación:

\(y = 22 - x\)

Reemplazando en la segunda:

\(3500x + 2000y = 53000\)

\(3500x + 2000(22 - x) = 53000\)

\(1500x = 9000\)

\(x = \frac{9000}{1500}\)

\(x = 6\)

\(y = 22 - x = 22 - 6 = 16\)

Se elaboraron 6 títulos y 16 actas.

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Answer:

20.75 Absolute change

Step-by-step explanation:

Answer:

my answer i got is y=2x+9

Answer:

5

Step-by-step explanation:

They are asking for the Period. The Period goes from one peak to the next (or from any point to the next matching point). To me it looks like that value is 5 for this graph.

y-(-9) = -6(x-(-4)), y = -6x-33

Answer:

-x - 24

Step-by-step explanation:

first term expansion

(5x-4) ^ 4

(5x -4) (5x-4) (5x-4) (5x-4)

25x - 20 - 20x + 16 + 25x -20-20x + 16

Second term expansion.

25x -20x - 20x + 25x -20 -20 + 16

third term expansion

-25x + 25x -20-20  +16

-x - 24..

Answer: x = 2

Step-by-step explanation:

  Given:

3x - 4 = 2

  Add 4 to both sides of the equation:

3x = 6

  Divide both sides of the equation by 3:

x = 2

Answer:

3 (-4)² - 3(-4) + 1/-4

= 3(16) + 12 - 1/4

= 48 + 12 - 1/4

= 59.75

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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The probability of the event for the given odds in favor (4 to 7) is found as 4/11.

To continue solving, we must represent the ratio as a fraction.

Thus, we have the depiction shown below.

Odds ratio equals 4/7

We use the following equation to translate the aforementioned odd's expression into a probability expression.

This is displayed as

P = (Odds + 1)/(Odds).

Replace the unknown values in the equation above.

The following equation is what we have.

P = (4/7)/(4/7 + 1)

Analyze the amount

This results

P = (4/7)/(11/7)

Put the quotient in product form.

P = (4/7) * (7/11)

Evaluate

P = 4/11

Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.

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The volume of the described solid is V = 16r³/3

Given,

A solid line S should be drawn between z=a and z=b. If S has a cross-sectional area of Px through x and is perpendicular to the x-axis, then A (x)

Volume of S = limₙ→∝ ∑i=₁ⁿ A(xi) Δx = \(\int\limits^b_a {A(x)} \, dx\)

The equation of circle x² + y² = r² where r is the radius of the circle.

Equation of upper semicircle yu= √(r²-x²)  and

Equation of lower semicircle yl = -√(r²-x²)

Area of cross-section A(x) = (yu² - yl²)

Substitute yu and yl values

A(x) = [√(r²-x²) - (-√(r²-x²) )]² = 4(r² -x²)        (1)

The limit for volume v varies from -r to r

Thus Volume v = ₋\(\int\limits^r_r {A(x)} \, dx\)

Substitute A(x) from (1)

V = ₋\(\int\limits^r_r {4(r^{2}-x^{2} ) } \, dx\)

⇒V = 4[r²x - x³/3 ]

⇒V = 4(r³ - r³/3) - 4(-r³ + r³/3) = 4[2 (r³ - r³/3)] = 16r³/3

The volume of the described solid S where the base is a circular disk or radius r and parallel cross sections perpendicular to the base are squares is V = 16r³/3

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Answer:

Step-by-step explanation:

yea

Answer:

it is correct

Step-by-step explanation:

I'm sure of it

Consider that 'n' is the numerator, and 'd' is the denominator of the fraction.

Given that the ratio of numerator to denominator is 1 to 3,

Given that if the numerator and denominator are both increased by 2, the fraction is now equal to 3/4,

Thus, the required system of equations is,

Therefore, first option is the correct choice.

Answer:

a = 8

b = 2

c = 48

Step-by-step explanation:

3 cups of flour is needed to make 24 servings.

3:24

Simplify. First, divide 3 from both sides of the ratio.

(3)/3 : (24)/3

1:8

Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1

1 x 2 = b = 2

Finally, multiply 8 to 6 to get c.

8 x 6 = c = 48

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