If 8(x + 2) - 3( x - 4) = 6( x - 7) + 8, then x is what?

Answer:

3+4i

Step-by-step explanation:

let x be the answer

(3-4i)x=25

x=25/(3-4i)

multiply by the conjugate

x=(25(3+4i))/25

x=3+4i

Step-by-step explanation:

solution

2/7 of 3/4= 2/7×3/4=

(2×3)/ (7×4)

Ans = x= 3+4i

Answer:

(0.30, 0.42)

Step-by-step explanation:

i took the test :)

Answer:

20%

Step-by-step explanation:

4 / 20 = 0.2 = 20%

Hope this helps :)

Answer:

4 Students is 20% of 20 students.

Step-by-step explanation:

[tex] \frac{4}{20} \times 100[/tex]

= 4 × 5 %

= 20%

Answer:

j= -10/3

Step-by-step explanation:

j - 2 + 7 = - 12 - 2j + 7

*add -2 and 7 to get 5

j + 5 = -12 - 2j + 7

*add -12 and 7 to get -5

j + 5 = -5 - 2j

*add 2j to both sides

3j + 5 = -5

*subtract 5 from both sides

3j = -10

*divide both sides by 3

j= -10/3

Given:

P(x) is a 2nd degree polynomial.

[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]

To find:

The polynomial P(x).

Solution:

If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).

We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).

So, the required polynomial is defined as:

[tex]P(x)=a(x-1)(x+3)[/tex]          ...(i)

Where, a is a constant.

We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get

[tex]3=a(2-1)(2+3)[/tex]

[tex]3=a(1)(5)[/tex]

[tex]3=5a[/tex]

[tex]\dfrac{3}{5}=a[/tex]

Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get

[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]

Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].

Answer:

B. 2

Step-by-step explanation:

(4, 3) (7, 9)     M = Slope

M = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]      Slope formula

[tex]M=\frac{9-3}{7-4}[/tex]       Using the slope formula, plot both x and y intercepts

[tex]M=\frac{6}{3}[/tex]           Slope needs to be simplified into a whole number

[tex]M=2[/tex]          

The center of the circle would be (5,-8)

This is because you inverse the sign within the equation for the x/y coordinate part of it. Therefore, for this question:

(x-5)^2+(y+8)^2 = 121

The center would be (5,-8), since there is (x-5) and (y+8).

The radius of the circle would be 11

This is because within the equation for the circle, the finishing number is the radius squared. This means that if you square root this finishing number, you would get the radius. So with this question:

(x-5)^2+(y+8)^2 = 121

By doing √121, you would get 11 as the radius.

Answer:

1/6

Hope that this helps!

Answer:

Step-by-step explanation:

-3,5 to find it first go over then go up and you have your answer

Answer:

The answer is (5, -3)

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

See attachment for drawing

Step-by-step explanation:

Given

See attachment for sketch of plan

Required

Draw a scaled plan

From the question, the garden has the following dimensions.

5.5m, 5.5m, 4m and 2.5m

Using a scale of 1m : 50 cm units, the above measurements will be represented as:

[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]

[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]

From the question, we understand that there will be 50cm space between the greenhouse and the edge.

On the scale drawing, this will be represented as:

[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]

From the question, the green house has the following dimensions.

2m, 2.5m

On the scale drawing, this will be represented as:

[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]

See attachment 2 for scale drawing

Answer:

C)  $84

Step-by-step explanation:

40 x 14 = 560

she made $560 prior to raise

14 x 1.15 = 16.10

her new hourly rate is $16.10

40 x 16.1 = 644

she now earns $644 per week

644 - 560 = 84

Answer:

1 is the constant

Step-by-step explanation:

Answer:

17 gallons

Step-by-step explanation:

Answer:

3/4 of a pizza leftover.

Step-by-step explanation:

2 7/12 + 2/3 = 3 1/4

4 -  3 1/4 = 3/4

so 3/4 of 1 pizza is left.

Answer:

A.) Cheaper Fertilizer is Quick Fertilizer

B.) The cheaper fertilizer now cost $ 61

Step-by-step explanation:

The exact question is as follows :

Given - Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.

To find - A.) Which fertilizer would be cheaper for Daija to purchase to fertilize her entire lawn?-Show your work or explain your answer.

               B.) Daija has a 15% off coupon on the cheaper fertilizer. Excluding sales tax, what is the new cost of the fertilizer? Round to the nearest cent.

Proof -

A.)

Given that,

Total lawn that have to be fertilize = 24,000

Now,

Super Lawn fertilizer costs $18.49 and covers 6,000 square feet.

i.e.

6000 square feet = $ 18.49

⇒4×6000 square feet = $ 4×18.49

⇒24000 square feet = $ 73.96

∴ we get

Super Lawn costs $ 73.96

Now,

Quick Fertilizer costs $23.99 and covers 8,000 square feet.

i.e.

8000 square feet = $ 23.99

⇒3×8000 square feet = $ 3×23.99

⇒24000 square feet = $ 71.97

∴ we get

Quick Fertilizer costs $ 71.97

As we get

Super Lawn costs $ 73.96

Quick Fertilizer costs $ 71.97

As $ 71.97  < $ 73.96

So,

Cheaper Fertilizer is Quick Fertilizer

B.)

As we get from part a) that

Quick Fertilizer is cheaper and it costs $ 71.97

So,

15% of 71.97 = 10.7955

∴ we get

Now,

Quick fertilizer cost = $ 71.97 - 10.7955

                                 = $ 61.1745 ≈ $ 61

So,

After applying the 15% coupon,

The cheaper fertilizer now cost $ 61

Answer:

it is 4

Please Mark Brain list answer

Hope it helps you.

Answer:

4

Step-by-step explanation:

2 8 12 20

2 4 6 10

2 3 5

:2*2=4

Answer:

y=6x-14

Step-by-step explanation:

m=-8-(-2)/1-2

m=-8+2/1-2

m=-6/-1

m=6

y-y1=m(x-x1)

y-(-2)=6(x-2)

y+2=6x-12

y=6x-2-12

y=6x-14

Answer:

Finding the area of a large rectangle is A = l × b

Step-by-step explanation:

A= Area, while I=length and B= the base, the way to find the area of the big one is by finding the area of the small ones first then adding them together,

Example: (a=lxb) + (a=lxb) = Area of big rectangle

Answer:

Option A

Step-by-step explanation:

Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF

Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(6)(8-5)[/tex]

                        = 9 in²

Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]

                                    = [tex]\frac{1}{2}(6+4)(5)[/tex]

                                    = 25 in²

Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]

                       = 24 in²

Therefore, area of the given figure = 9 + 25 + 24

                                                          = 58 in²

Option A will be the correct option.

Answer:

Perimeter: 26 units

Area: 24 units²

Step-by-step explanation:

12 + 9 + 5 = 26

A = 1/2BH

A = 1/2 12(4)

A = 1/2 48

A = 24

Answer:

Angle of elevation of the airplane = 17.46 degrees

Step-by-step explanation:

From the picture attached,

An airplane is flying at an altitude of 1500 ft at point A.

Runway starts from point B from which distance of the airplane is 5000 ft.

Now we apply sine rule in the given triangle ABC to measure the angle θ.

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sinθ = [tex]\frac{AC}{AB}[/tex]

       = [tex]\frac{1500}{5000}[/tex]

[tex]\theta=\text{sin}^{-1}(\frac{3}{10})[/tex]

[tex]\theta=17.46[/tex] degrees

Answer:

2x + 2y = -2

Step-by-step explanation:

you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions

Answer:

1 inch =  3 feet

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

6 /2 = 3

1 in = 3 feet

Answer:

H

Step-by-step explanation:

you can see that it's increasing by 50 for each line

4*50=200

Question is ;

Complete question is;

Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.

Which city accumulates more snow in 3 days? How much more snow?

Answer:

- Boston accumulates more snow in 3 days.

- It accumulates 0.6 ft of snow more than Boston

Step-by-step explanation:

Boston accumulates 1.5 feet of snow every 36 hours.

Number of hours in 3 days = 24 × 3 = 72 hours.

Thus, In 72 hours, Boston would have accumulated; (1.5 × 72)/36 = 3 feet of snow.

Now, Buffalo accumulates 0.01 inches of snow every minute.

In 3 days, number of minutes we have = 60 × 24 × 3 = 4320 minutes

Thus, total snow accumulated in 3 days = 0.01 × 4320/1 = 43.2 inches

Now, let's convert this to ft;

12 inches = 1ft

Thus; 43.2 inches = 43.2 × 1/12 = 3.6ft

Thus, Buffalo accumulates more snow in 3 days.

It accumulates 0.6 ft of snow more than Boston

Answer:

Step-by-step explanation:

5x =2x+9(corresponding angles are always equal)

5x-2x=9

3x=9

x=9/3

x=3

Answer:

x=−3+√(−y−1)(y+5)

Step-by-step explanation:

thats if your solving for x if not to math w    l   ay

Answer:

2x + 9 = 21

Step-by-step explanation:

Looking at option C;

2x + 9 = 21

Step 1: Subtract 9 from both sides

2x+9 - 9 = 21 - 9

2x = 12

Step 2: divide both sides by 2

2x/2 = 12/2

x = 6

Hence the expression which is a two-step equation is 2x + 9 = 21 since we arrived at the solution in two steps