Calculate the cost (omit commission) of buying the 500 shares of Delta Air at $50.61.

Answer:

(-13/6, -12)

&

(2, 13)

Step-by-step explanation:

x · y = 26       -------> x = 26/y

y = 1 + 6x

SUB for y

x(1 + 6x) = 26

x + 6x² = 26

SOLVE for x

6x² + x - 26 = 0

6x² + 13x - 12x - 26 = 0

6x(x - 2) 13(x - 2) = 0

(6x + 13)(x - 2) = 0

x = -13/6 or 2

Test x = -13/6 for both equations

Equation 1

-13/6 · y = 26

y = -156/13

y = -12

Equation 2

y = 1 + 6(-13/6)

y = 1 - 13

y = -12

-12 = -12 ✅

Test x = 2 for both equations

Equation 1

2 · y = 26

y = 26/2

y = 13

Equation 2

y = 1 + 6(2)

y = 1 + 12

y = 13

13 = 13 ✅

Hope this helps & God bless!

Answer:

(3x + 16)(3x - 16)

Step-by-step explanation:

[tex]9 {x}^{2} - 256 \\ \\ = {(3x)}^{2} - {(16)}^{2} \\ \\ = (3x + 16)(3x - 16)[/tex]

Answer:

7x^25 :)

Step-by-step explanation:

1: 7x,

2. 7x^5,

3. 7x^9,

4. 7x^13,

5. 7x^17,

6. 7x^21,

7. 7x^25

Have an amazing day!!

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Answer:

[tex]7x^{25}[/tex]

Step-by-step explanation:

Given sequence: [tex]7x, -7x^5, 7x^9[/tex]

General form of a geometric sequence:  [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common ratio)

[tex]a_1=7x[/tex]

[tex]a_2=-7x^5[/tex]

[tex]a_3=7x^9[/tex]

To find the common ratio, divide one term by the previous term:

[tex]r=\dfrac{a_2}{a_1}=\dfrac{-7x^5}{7x}=-x^4[/tex]

Therefore, substituting the found values of a and r into the formula:

[tex]\implies a_n=(7x)(-x^4)^{n-1}[/tex]

To find the 7th term, substitute n = 7 into the formula:

[tex]\begin{aligned}\implies a_7 & =(7x)(-x^4)^{7-1}\\ & = (7x)(-x^4)^6\\ & = (7x)(x^{24})\\ & = 7x^{25}\end{aligned}[/tex]

Answer:

x² + 80x - 5

Step-by-step explanation:

Answer: $300 is the cost before the discount

Step-by-step explanation:

Divide $90 by 30% which = $300.

Answer:Reflecting over the y-axis = (x,y) → (-x,y)

So T will be (1,3) , U (3,-17) and V (-12. -8)

So D

Step-by-step explanation:

Answer:

T (1, 3), U (3, −17), V (−12, −8)

Step-by-step explanation:

To find the image as it is reflected from the preimage across the y-axis, apply the transformation rule, (x,y)→(−x,y), to each of the preimage points.

T(−1,3)→T'(1,3)

U(−3,−17)→U'(3,−17)

V(12,−8)→V'(−12,−8)

Draw lines between the found vertices to construct the reflected figure.

Therefore, the reflection of the figure with vertices T(−1,3), U(−3,−17), and V(12,−8) across the y-axis is the figure with vertices T'(1,3), U'(3,−17), and V'(−12,−8).

Answer:

A

Step-by-step explanation:

positive leading coefficient means increasing

Answer:

$150,000.

Step-by-step explanation:

A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams than has the greater density A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

Suppose that a finite amount of substance is there having its properties as:

mass of substance = m kg

density of substance = d kg/m³

volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams.

[tex]d = \dfrac{73.92}{8.25}\\d = 8.96[/tex]

A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

[tex]d = \dfrac{39.35}{5}\\\\d = 7.87[/tex]

Thus, A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams than has the greater density A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

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Answer:

we predict 2,587 persons will adopt dogs

Step-by-step explanation:

out of 40 persons 23 adopt dogs

Then

out of 40×25 persons 23×25 adopt dogs

Then

out of 1000 persons 575 adopt dogs

Then

out of 1000×4.5persons 575×4.5 adopt dogs

Then

out of 4,500 persons 2,587.5 adopt dogs  

Method 2 :

Let x Ben the number of persons we predict they will adopt dogs:

Here we have a proportional relationship:

Then

[tex]\frac{4500}{40} =\frac{x}{23}[/tex]

[tex]\Longleftrightarrow x = \frac{4500\times 23}{40} =2587.5[/tex]

Answer:

  solve the equation with known values filled in; width is 3 ft.

Step-by-step explanation:

The perimeter formula can be used to find a missing value by filling in all of the known values, and solving the resulting equation.

__

  P = 2(L +W) . . . . . . perimeter formula

  14 = 2(4 +W) . . . . . known values substituted

  7 = 4 +W . . . . . . . divide by 2

  3 = W . . . . . . . . . subtract 4

The width is found to be 3 feet using the perimeter formula.

Answer:

The width of rectangular poster is 3 feet.

Step-by-step explanation:

As per given question we have provided that :

We need to find the width of rectangle.

Here's the required formula to find the width :

[tex]{\underbrace{\sf{\small{ \: \: P = 2(L + W) \: \: }}}}[/tex]

Calculating the width of rectangular poster by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\twoheadrightarrow{\sf{\small{ \: \: P = 2(L + W) \: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\small{ \: \: 14 = 2(4+ W) \: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\small{ \: \: \dfrac{14}{2} = (4+ W) \: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\small{ \: \: 7= (4+ W) \: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\small{ \: \: W = 7 - 4\: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\underline{\underline{\small{ \: \: W = 3\: \: }}}}}} \end{gathered}[/tex]

Hence, the width of rectangular poster is 3 feet.

[tex]\rule{200}2[/tex]

Answer:

Pt 1) B

Pt 2) 17

Step-by-step explanation:

a right angle is 90 so 56 plus 2x should equal 90. Subtract 56 from 90 and get 34, because it's 2x you divide by 2 and get 17

Answer:

answer below

Step-by-step explanation:

3/5=60%

1/50=2%

9/10=90%

9/5=180%

18/60=30%

Answer:

probability = favorable cases / true cases

p(A)=5/20 simplified by 5 = 1/4

answer : the probability that the block is one of the large yellow it's 1/4.

Answer:

10 and 11

Step-by-step explanation:

10+11=21

11-10=1

1 apart, and they add to 21

Answer: 34.54

 Multiple 11 by 3.14 and you'll get 34.54
and if you need the radius just divide 11 by 2 and get 5.5
I hope this helps! :)

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

Explanation:

There are two ways to do this problem.

Method 1 involves listing out the terms until we reach the seventh one.

We see that the trapezoid is term 7.

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

Method 2 is faster and the one I recommend.

Since the pattern repeats every 4 items, this means we divide by 4 and look at the remainder. Ignore the quotient entirely.

7/4 = 1 remainder 3

The remainder 3 means that the answer is found in term 3, which is the trapezoid.

The variation is a joint variation, and the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]

The direct and the inverse variations from the question can be represented using:

[tex]s = k\frac{rf}{b}[/tex]

Where:

From the question, we have:

r = 40; f = 39; b = 28

So, we have:

[tex]s = k\frac{rf}{b}[/tex]

[tex]10 = k\frac{40 * 39}{28}[/tex]

Make k the subject

[tex]k = \frac{10 * 28}{40 * 39}[/tex]

Evaluate

k = 0.18

Substitute k = 0.18 in [tex]s = k\frac{rf}{b}[/tex]

[tex]s = 0.18\frac{rf}{b}[/tex]

Hence, the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]

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Answer: hii <3

The Answer Is = −6x−14

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you

- Matthew :)

Answer:

[tex]\Longrightarrow: \boxed{\sf{-6x-14}}[/tex]

Step-by-step explanation:

In order to solve this, you need to expand by the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

[tex]\Longrightarrow: \sf{A(B-C)=AB-AC}[/tex]

-6(x+2)-2

Expand.

-6*x=-6x

-6*2=-12

Then, rewrite the expression down.

-6x-12

-6x-12-2

Subtract the numbers from left to right.

-12-2=-14

[tex]\Longrightarrow: \boxed{\sf{-6x-14}}[/tex]

I hope this helps. Let me know if you have any questions.

Good luck with your assignment!

The equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

The equation of a line in slope-intercept form is expressed as y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points (-2, 4) and (10, 0)

Find the slope

Slope = -4/12
Slope = -1/3

Determine the y-intecept

0 = -1/3(10) + b

b = 10/3

Determine the equation

y = -1/3x + 10/3

Hence the equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

Learn more on equation of a line here: https://brainly.com/question/13763238

Answer:

Sugar cookie dough packages cost 14 dollars each, and oatmeal cookie dough packages cost 16 dollars each.

Step-by-step explanation:

Let s equal the cost of a sugar cookie dough package, and o equal the cost of oatmeal cookie dough packages.

6s + 2o = 116

9s+12o = 318

therefore,

18s+6o = 348

18s+24o = 636

Subtracting them, we get -18o = -288, or 18o = 288

Therefore, o = 16, and 6s+32=116, so 6s=84, so s = 14

4IN

Step-by-step explanation:

I took the test for k12 and got 100% hope it helps

Answer:

4 in

Step-by-step explanation:

18 + 22 + 15 + 28 + 17 = 100

100 / 5 = 20

So, the mean for the data set: 18, 22, 15, 28, 17 is 20.

18 - 20 = |2|

22 - 20 = |2|

15 - 20 = |5|

28 - 20 = |8|

17 - 20 = |3|

2 + 2 + 5 + 8 + 3 = 20

20 / 5 = 4

So, 4 in is the mean absolute deviation (MAD).

I also took the test.

Answer:

12 different vacation caombinations

Step-by-step explanation:

has 3 options of Theme Park and 4 options of length of trip

[tex]C=(3)(4)=12[/tex]

Hope this helps

Each base: 12 ft^2

Surface Area: 48 ft^2

Assuming it is a triangular prisim made of equilateral triangles, I would assume the formula would be 4 times the area of one triangular base, following the formula:

[tex]a = \frac{1}{2} bh \\ a = \frac{1}{2} (6)(4) \\ a = 12 \\ 4 \times 12 = 48[/tex]

Answer:

h = 12 units, r = 10 units

Step-by-step explanation:

[tex]v=\pi (10)^{2} (12)=\pi (100)(12)=1200\pi[/tex]

Hope this helps