what is the solution to the system of equation below Y equals -1/3 X +6 and X equals -6

Answer:

$3,745

Step-by-step explanation:

First, you have to calculate the price after the discount is applied:

Price of the car: $25,000

Discount: 18%

$25,000*18%= $4,500

$25,000-$4,500= $20,500

Second, you have to calculate the total amount she has to pay including the 7% tax:

$25,000*7%= $1,750

$25,000+$1,750= $26,750

Third, as the statement indicates that Ms. Eve had to put  14% of what she had to pay as down payment, you have to calculate the 14% of $26,750:

$26,750*14%= $3,745

According to this, Ms. Eve has to pay $3,745 for the down payment.

Answer:

The width is 2x+1

Step-by-step explanation:

10x^2 +5x

Divide this by 5x

10x^2 /5x = 2x

+

5x/5x =1

Add this together

2x+1

The width is 2x+1

Answer:

( 2x + 1 )

Step-by-step explanation:

10x^2 + 5x

it could also be;

5x (2x + 1)

so, the width is( 2x +1)

Answer:

16

Step-by-step explanation:

1/2*1/2*1/2 = 1/8 cubic units

2/(1/8) = 16

Answer:

16

Step-by-step explanation:

[tex](\frac{1}{2})^3 = \frac{1^3}{2^3} = \frac{1}{8}\\\frac{2}{\frac{1}{8}} = 2 \cdot 8 = 16[/tex]

Answer:

No ABC is not a triangle

Step-by-step explanation:

Perimeter = 22 cm

AB = 8 cm ; BC = 8 cm

AC = 22 - ( 8 + 8 ) = 6 cm

But all those sides doesn't follow Pythagorean Theorem(AB^2 + BC^2 = AC^2) ....because 8^2 + 8^2 isn't equal to 6^2 ......

Had it followed the theorem , it could have been a right angle triangle...

Answer:

The Solution Set

Step-by-step explanation:

Despite missing some context, the output we could get as result of an expression/equation it is what we call a Solution set. A set which makes the initial statement of equation/expression true, therefore valid.

[tex]x^{2} -7x+12=0\\(x-3)(x-4)=0\\S=\{3,4\}[/tex]

Therefore, the elements of the Solution set, 3 and 4 when plugged into the equation make the statement of the quadratic equation true.

[tex](3)^{2}-7(3)+12=0\\-12+12=0\\0=0[/tex]

The output or possible values you could get as a result from an expression or equation is the solution set of the equation

Take for instance, we have the following equation

[tex]x^2 = 4[/tex]

When solved, the equation becomes

[tex]x = \pm 2[/tex]

This can be rewritten as:

[tex]x = \{-2,2\}[/tex]

This means that -2 and are the solution set of the equation [tex]x^2 = 4[/tex]

Hence, the output or possible values are called solution set

Read more about equations at:

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Answer:

∠1 = 90°

Step-by-step explanation:

The angle inscribed in a semicircle is always 90°

∠1 = 90°

Answer:

10 5/8

Step-by-step explanation:

Answer:

C : Measure using the distance formula

Step-by-step explanation:

A Venn diagram is a diagram which shows the relation of all different sets

Just like it is given in the attachment there is a relation between the perimeter and the area.

The distance formula is

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 }[/tex]

where,

[tex](x_1, y_1)[/tex] is the first point coordinates

[tex](x_2, y_2)[/tex]  is the first point coordinates

By using the distance formula as discussed above shows the intersection of the Venn diagram

Hence, the correct option is C.

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 3) ← 2 points on the line

m = [tex]\frac{3-2}{4-0}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

D

Step-by-step explanation:

The range means the possible values of the y coordinate which is y ≥ 1 in this function

Answer:

The measurement of ∠3 is 135°

Step-by-step explanation:

In the problem, we are given a measurement. The measurement of ∠1 is 135°. We are asked to find the measurement of ∠3.

∠1 and ∠3 are corresponding angles. This means that they will have the same measurements.

So, if m∠1 is 135° then the m∠3 is also 135°

Answer:

m∠=135°

Step-by-step explanation:

These lines are parallel lines, which is indicated by the two arrows towards the right of the lines.

Since these lines are parallel, corresponding angles, such as ∠1 and ∠3 can exist.

Corresponding angles are congruent, which means they have the same measure.

∠1 and ∠3 are corresponding angles, therefore

∠1=∠3

We know that the measure of ∠1 is 135 degrees. Therefore, ∠3 will also have a measure of 135 degrees.

135=∠3

The measure of ∠3 is 135 degrees.

Answer:

[tex]f(n)=\frac{1}{3}n[/tex]

Step-by-step explanation:

To convert from feet to yards, divide by the value 3.

Answer:

2:3

Step-by-step explanation:

We know that there are 24 red and black cards in the 48 pack because their ratio is 1:1. When 8 red cards are removed we have 16 red and 24 black cards. The ratio of this is 16:24 which simplifies to 2:3.

The ratio of the number of red cards in the pack to the number of black cards in the pack = 1:1

The total amount of cards (red or black) in the pack is = 48

The ratio of the number of red cards to the number of black cards is = 1:1

The number of cards removed from the pack = 8

Therefore the total number of cards( red or black = 48 -8

= 40 cards

But to calculate the number of red card

= 1+1 = 2

40/2 = 20 red cards

The number of black cards

1+1 = 2

40/2 = 20 black cards

The ratio of red is to black cards = 20:20 or 20/20 = 1:1 or 1/1

Therefore the ratio of the number of red cards in the pack to the number of black cards in the pack = 1:1

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Answer:

If you know two number a and b and need find, b is what percentage of a, P=b

- 100%

a

Answer: x= -3 + 2[tex]\sqrt{2\\}[/tex] or -3 -2 [tex]\sqrt{2}[/tex]

Step-by-step explanation:

First you want to get the quadratic formula

in this case a=1 b=6 and c=1

plug it in and solve the equations

(sorry don't know how to put in equations here)

Answer:

Answer: x= -3 + 2\sqrt{2\\} or -3 -2 \sqrt{2}

Step-by-step explanation:

First you want to get the quadratic formula

in this case a=1 b=6 and c=1

plug it in and solve the equations

Answer:

323 ft^2

Step-by-step explanation:

Separate the figure on the left into two figures, a trapezoid and a square

The area of a trapezoid is

A = 1/2 (b1+b2)h

A = 1/2 (12+15)*7

  = 1/2 (28)7

     98 ft^2

The area of a square is

A = s^2

   = 15^2

   = 225 ft^2

Add the areas together

A total = 98+225 =323 ft^2

Answer:

3 hours

Step-by-step explanation:

 Jasmine's hourly distance covered (her rate of travel) is 45 mi / hr.

   45 miles       135 miles

   -------------- = ----------------

       1 hour               x

Cross-multiplying, we get 45x = 135, or x = 3 hours

Answer:

Ace Electronics buys 30, Hi-Fi Stereo buys 50, and CD World buys 115

Step-by-step explanation:

Let x represent the number of items Ace Electronics buys

Let y represent the number of items Hi-Fi Stereo buys

Let z represent the number of items CD World buys

Since Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players:

x + y + z = 195   (1)

Since CD World buys 35 more units than the other two stores combined:

z = x + y + 35   (2)

If you substitute z in equation 1 from equation 2:

x + y + (x + y + 35) = 195

2(x + y) = 195- 35

x + y = 80   (3)

Since z = x + y + 35:

z = 80 + 35

z = 115

Since CD World's cost is $160 per unit, Hi-Fi 's cost is $165 per unit and Ace Electronics's cost is $170 per unit and the total payment received is $31,750

170x + 165y + 160z = 31750   (Substitute x from equation 3 and z as 115)

170(80-y) + 165y + 160(115) = 31750

13600 - 170y  + 165y + 18400 = 31750

32000 - 5y = 31750

5y = 250

y = 50

Since x + y = 80:

x + 50 = 80

x = 30

Answer:

[tex]\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}[/tex]

Step-by-step explanation:

      [tex]A = 18x^{2} - 32\\[/tex]

Find the sharing components:

<=> [tex]A=2*9*x^{2} - 2*16[/tex]

Apply the inverse of associative property:

<=> [tex]A = 2(9x^{2} - 16)[/tex]

Identify two square components inside the parenthesis:

<=> [tex]A = 2((3x)^{2} - 4^{2} )[/tex]

Factorize:

<=> [tex]A = 2(3x + 4)(3x - 4)[/tex]

=> Option D is correct

Hope this helps!

:)

Answer:

x^3   +  3x^2    +   9x    +  27   +   88 / [x - 3]

Step-by-step explanation:

x ^4 + 7 by x - 3 x^3   +  3x^2    +   9x        +  27 x - 3  [  x^4  +   0x^3    +   0x^2    +   0x    +   7   ]. x^3  -    

3x^3 ________________________________ 3x^3   +     0x^2 3x^2  

-     9x^2 ______________ 9x^2      +   0x 9x^2

   -    27x ____________ 27x    +   7 27x  

 -  81 _________ 88 S

Answer:  So the result is :      x^3   +  3x^2    +   9x    +  27   +   88 / [x - 3]

Please mark me brainliest

Hope this helps.

Answer:

Option (D).

Step-by-step explanation:

Initial population of the deer [tex]P_{0}[/tex] = 4800

Decrease in the population of the deer after every 8 years = [tex]\frac{1}{2}\times (\text{Initial population})[/tex]

Decrease in population is an exponential process, so the expression representing population will be,

[tex]P_{t}=P_{0}(1-r)^x[/tex]

Where [tex]P_{t}[/tex] is the population after 'x' slots of 8 years.

r = fraction of decrease in the population

x = [tex]\frac{\text{Number of years}}{8}[/tex]

By substituting the values of r and x in the expression,

[tex]P_{t}=P_{0}(1-\frac{1}{2})^{\frac{t}{8}}[/tex]

[tex]P_{t}=4800(\frac{1}{2})^{\frac{t}{8}}[/tex]

Therefore, Sylvia should do few corrections in her expression.

(8) should be replaced by ([tex]\frac{1}{2}[/tex]) and [tex]\frac{t}{2}[/tex] should be replaced by [tex]\frac{t}{8}[/tex].

Option D. will be the answer.

Answer:

Solve the rational equation by combining expressions and isolating the variable  

Answer:

Step-by-step explanation:

I assume that the equation is

[tex]e^x+\frac{e^{-x}}{e^x} -e^{-x}=t \\[/tex]

[tex]e^x+\frac{1}{e^{2x}}-\frac{1}{e^x} = t[/tex]

[tex]e^{3x}+1-e^x=e^{2x}t[/tex]

[tex]e^{3x}-te^{2x}-e^x=-1[/tex]

Let u = e^x

[tex]u^3-tu^2-u=-1[/tex]

[tex]u(u^2-tu-1) = -1[/tex]

if u=1, then [tex]u^2-tu-1 =-1 \longleftrightarrow u^2-tu=0[/tex]

then u = 0 (reject) or u = t

So far, we have u = 1 and u = t

if u =1, e^x =1 , then x = 0

if u = t, then e^x = t or x = lnt

Answer:

no whole number

Step-by-step explanation:

263 is a prime number, so it can be divided only by 1 and 263. So, no whole number will be square root for 263.

Answer:

D

Step-by-step explanation:

[tex]f(x)=3x+5 \\\\g(x)=x^2 \\\\(f-g)(x)=(3x+5)-(x^2)=-x^2+3x+5[/tex]

Therefore, the correct answer is choice D. Hope this helps!

Answer:

Its 2!

Step-by-step explanation:

Just got it correct on edge 2020

The projectile is on the ground for 2 seconds.

A projectile is an object this is propelled via the application of external pressure and then movements freely underneath have an impact on gravity and air resistance.

Learn more about projectile here https://brainly.com/question/12870645

#SPJ2

Answer:

[tex] - \frac{1}{12} \\ [/tex]

Step-by-step explanation:

[tex] - \frac{1}{3} \times \frac{1}{4} \\ \\ = - \frac{1}{12} [/tex]

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\sqrt{\frac{4x^2}{3y} }[/tex]

= [tex]\frac{\sqrt{4x^2} }{\sqrt{3y} }[/tex]

= [tex]\frac{2x}{\sqrt{3y} }[/tex]

Rationalise the denominator by multiplying the numerator/ denominator by [tex]\sqrt{3y}[/tex]

Note that [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a

= [tex]\frac{2x}{\sqrt{3y} }[/tex] × [tex]\frac{\sqrt{3y} }{\sqrt{3y} }[/tex]

= [tex]\frac{2x\sqrt{3y} }{3y}[/tex]