if 4a + 6 = 12 - 2a what is 6a
​

Answer:

x = 2, y = - 4

Step-by-step explanation

5x-y=14

x+3y= - 10

x = - 10 - 3y

5(- 10 - 3y) - y = 14

- 50 - 15y - y = 14

-16y = 64

y = - 4

x = -10 - 3y = - 10 - 3*(- 4) = - 10 + 12 = 2

x = 2

Answer:  C

Step-by-step explanation:

Reflection across x = -1

The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment)

J = (0, 0) is 1 unit to the right of x = -1

J' = (-2, 0) is 1 unit to the left of x = -1

K = (1, 4) is 2 units to the right of x = -1

K' = (-3, 4) is 2 units to the left of x = -1

L = (3, 3) is 4 units to the right of x = -1

L' = (-5, 3) is 4 units to the left of x = -1

Reflection across x-axis

Change the sign of the y-value:  (x, y) → (x, -y)

J' = (-2, 0)           J'' = (-2, 0)

K' = (-3, 4)           K'' = (-3, -4)  

L' = (-5, 3)            L' = (-5, -3)

True if the lines were not vertical this would be false.

Answer:

C. u^2 + 5u – 6 = 0 where u = (x + 2)

Step-by-step explanation:

(x + 2)^2 + 5(x + 2) – 6 = 0

Let u = x+2

(u)^2 + 5(u) – 6 = 0

Answer:

C.u^2+5u-6=0

Step-by-step explanation:

By comparing (x+2)^2+5(x+2)-6=0 to answer C,that is u^2+5u-6=0,u=(x+2).

By sustituting (x+2)into answer C,we get;

(x+2)^2+5(x+2)-6=0 which is the same as the quadriatic equation given in the question.

The required volume of the rectangular prism is 765792 cubic centimeters. None of the options are correct.

To find the volume of a rectangular prism, you can use the formula:

Volume = length (l) * width (w) * height (h)

Given:

l = 412 cm

w = 312 cm

h = 6 cm

Volume = 412 cm * 312 cm * 6 cm
Volume = 128544 * 6 cubic centimeters
Volume = 771264 cubic centimeters

Thus, the volume of the given rectangular prism is 771264 cubic centimeters.

Learn more about volume here:

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Answer:

gradient = 4

Step-by-step explanation:

Calculate the gradient using the slope formula

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

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 14)

m = [tex]\frac{14-2}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

Answer:

x=130

Step-by-step explanation:

as vertically opposite angles are equal therefore,

133=X+3

x=133-3= 130

I hope it helps

Answer:

V =432 cm^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 9*4*12

V =432 cm^3

Answer:

(5x²+2y² + 2xy)(5x²+2y²-2xy)

Step-by-step explanation:

25x⁴+4x²y²+4y⁴= (5x²)²+2*5x²*2y²+(2y²)² - 16x²y²= (5x²+2y²)² - (4xy)²= (5x²+2y² + 2xy)(5x²+2y² - 2xy)

Answer:

k = 48

Step-by-step explanation:

k - 15 = 33

Add 15 to both sides

k - 15 +15 = 33 +15

k = 48

Answer:

Step-by-step explanation:

Answer:

282.6 ft

Step-by-step explanation:

First you must figure out how far the elevator drops in three seconds.

To do so you multiply how far it falls per second (5.8 ft) by how long it falls for (3 seconds). 5.8 * 3 = 17.4

now you subtract 17.4 from 300 to get 282.6 ft

Answer:

see below

Step-by-step explanation:

1. 0 = (r + 1)(r + 8)

Using Zero Product Property, r = -1, r = -8

2. h(r) = (r + 1)(r + 8)

         = r² + 9r + 8

         = (r + 9/2)² - 81/4 + 8

         = (r + 4.5)² - 12.25 (Complete the square)

   Vertex: (-4.5, -12.25)

Answer:

1500 grams

Step-by-step explanation:

A= P(0.5)^t

A=3000(0.5)^1

A=1500

Answer:

The values of F will be "16.58 i + 11.18 j".

Step-by-step explanation:

The given values are:

Force, F = 20 N

Angle, Ф = 33°

The formula use in the given scenario will be:

⇒  [tex]x=a \ Cos\theta[/tex]

⇒  [tex]y=a \ Sin\theta[/tex]

Now,

For Force, [tex]F=ai+bj[/tex]

⇒  [tex]a=F \ Cos\theta[/tex]

⇒     [tex]=20 \ Cos(34^{\circ})[/tex]

⇒     [tex]=20\times .829[/tex]

⇒     [tex]=16.58[/tex]

and,

⇒  [tex]b=F \ Sin\theta[/tex]

⇒     [tex]=20 \ Sin(34^{\circ})[/tex]

⇒     [tex]=20\times .55[/tex]

⇒     [tex]=11.18[/tex]

So that,

⇒  [tex]F=16.58 \ i+11.18 \ j[/tex]

Answer:

Step-by-step explanation:

The words "two iles a month" tells us that the expression represened by those words is the "2x" part of the equation. x represents the number of months. The .5 part tells us that he began this process with a half mile.

l= 4.2 m = 4.2 * 100 = 420 cm

b = 1.4 m = 1.4*100 = 140 cm

h =1.2 m =1.2 *100 =120 cm

Volume of cuboid = l*b*h =  420 * 140 * 120  = 705600 cubic cm

Volume of cube = a*a*a = 20*20*20 = 8000 cubic cm

No.of cubes = Volume of cuboid / volume of cube

      = 705600 / 8000 = 882 cubes

or  420*140*120 / 20*20*20 = 42*14*12/2*2*2 = 21*7*6 = 882 cubes

The answer is 360km^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Replace the range for f(x)

So...

0=4-2x

x=2

4=4-2x

x=0

8=4-2x

x=-2

Solve!

These are your domains!

Answer:

[tex]\fbox{\begin{minipage}{14em}Lorrie's inequality is incorrect\end{minipage}}[/tex]

[tex]\fbox{\begin{minipage}{16em}The solution is: d is greater than 16\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Define the problem

Given:

Lorrie biked [tex]d[/tex] miles in time [tex]t = 2[/tex] hours.

Lorrie traveled at speed [tex]s[/tex] which is greater than [tex]8[/tex] (mile/hour).

Task:

Lorrie wants to determine the distance she may have traveled.

Key point:

The relation among the distance biked [tex]d[/tex], time [tex]t[/tex], and the speed [tex]s[/tex] is represented:

[tex]d = s[/tex] x [tex]t[/tex]

Step 2: Substitute given data into the main relation

with: [tex]s > 8[/tex] and [tex]t = 2[/tex]

=>     [tex]d = s[/tex] x [tex]t[/tex]

=>     [tex]d[/tex] > [tex]8[/tex] x [tex]2[/tex]

Simplify:

        [tex]d > 16[/tex]

Step 3: Verify Lorrie's inequality

Lorrie uses the inequality [tex]2d > 8[/tex] to conclude that she traveled a distance [tex]d[/tex] at most [tex]4[/tex] miles, or [tex]d < 4[/tex].

Considering the correct answer is at step 2, in which, [tex]d > 16[/tex].

=> Lorrie's conclusion is incorrect.

Hope this helps!

:)

Answer:

Lorrie should have used division in the inequality instead of multiplication. She would have determined that she biked more than 16 miles instead of at most 4 miles.

Step-by-step explanation:

took the test

Answer:

Step-by-step explanation:

Total cake shared=1/2

Pete share=x

Bill= twice as much as Pete

=2x

Pete's share+ Bill's share=total share

x+2x=1/2

3x=1/2

x=1/2÷3

x=1/2×1/3

=1/6

Pete's share=x=1/6

Bill's share=2x

=2(1/6)

=2/6

=1/3

Answer:

It's B

Step-by-step explanation:

Because you see a reflection would show the traingle flipped translation would mean the traingle is in a totally different space and rotation would mean the shape is rotated and so B is left and so B is the correct answer.

Answer:

20 : 25

Step-by-step explanation:

A : B : total

4 : 5 : 4+5 = 9

We want to share 45

45/9 = 5

Multiply each share by 5

A :     B    : total

4*5 : 5*5 : 9*5

20 : 25   : 45

Answer:

x = - 4

Step-by-step explanation:

Given

y = [tex]\frac{x-1}{x+4}[/tex]

The denominator of y cannot be zero as this would make y undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 4 = 0 ⇒ x = - 4

Thus the vertical asymptote is x = - 4

Answer:

d

Step-by-step explanation:

this says x is greater than -4 meaning the integers cannot include -4

it also says x is less than or equal to one meaning that it can include 1 but not more than 1

d satisfies this inequality.

Answer:

" Expected Payoff " = $ 6.70

Step-by-step explanation:

Consider the steps below;

[tex]Probability of Winning the 550 Dollar Prize - 1 / 200,\\Probability * Money Won = " Expected Payoff " For The 550 Dollar Prize,\\\\1 / 200 * 550,\\" Expected Payoff " - 2.75 Dollars,\\\\Probability of Winning the 510 Dollar Prize - 1 / 200,\\\\1 / 200 * 510,\\" Expected Payoff " - 2.55 Dollars,\\\\Probability of Winning the 280 Dollar Prize - 1 / 200,\\\\1 / 200 * 280,\\" Expected Payoff " - 1.4 Dollars,\\\\[/tex]

[tex]Conclusion ; Expected Payoff = 6.70 Dollars[/tex]

Answer:

10 pi

Step-by-step explanation:

25 pi

20 pi

10 pi

5 pi

C is the answer

The area of the shaded sector of the circle will be 10π units².

Area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.

As per the question, QR = 5 and m∠RQS = 4π/5 = 144°.

As per the given question given data:

θ = 4π/5

r = QR = 5

Substitute the values in the formula to get:

Area of sector of a circle = 144/360 × π(5)²

Area of sector of a circle = 1/4 × π(25)

Apply the multiplication operation, and we get

Area of a sector of a circle = 10π units²

Thus, the area of the shaded sector of the circle is 10π units².

Learn more about the area of a sector here:

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The question seems to be incomplete the correct question would be:

In circle Q, QR = 5 and m∠RQS = 4π/5. Find the area of the shaded sector.

Express your answer as a fraction times pi.

Answer:

8

Step-by-step explanation:

There are 4 times 2 milliliters in each 15 pounds of a 60-pound goat

Answer:80milliliters/pound

Step-by-step explanation:

Rate per a pound = 20/15=4/3

For 60pounds =4*60/3

=80milliliter/pound

Answer:

D

Step-by-step explanation:

A line parallel to the y- axis is a vertical line with equation

x = c

where c is the value of the x- coordinates the line passes through, thus

x = 4 is the equation of a line parallel to the y- axis → D

Answer:

8 months more

Step-by-step explanation:

first calculated how many months total she can donate: 8000/250 = 32 months

2 years has 24 months

subtract 32 with 24 which is 8 and that is how many months left that she can donate