Determine whether the equation is always, sometimes, or never true. 6(x + 1) = 2(5 + 3x)

Answer:

5 5

Step-by-step explanation:

the second five is small five

if the quotient of three times a number and four is decreased by three, the result is nine. whats the number

Trevor,

number = x

(3x÷ 4) - 3 = 9

Use a common denominator 4: 3x - 12 = 36

3x = 48

x = 16

Does it fit the original equation?

[(3 x 16) ÷ 4] -3 = (48 ÷ 4) -3 = 12 - 3 = 9

Answer:

[tex]f(n) = 5 + f(n - 1)[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 5n - 2[/tex]

Required

Write a recursive expression

[tex]f(n) = 5n - 2[/tex]

When n = 1

[tex]f(1) = 5 * 1 - 2 = 5 - 2 = 3[/tex]

[tex]f(1) = 3[/tex]

When n = 2

[tex]f(2) = 5 * 2 - 2 = 10 - 2 = 8[/tex]

[tex]f(2) = 8[/tex] can be rewritten as

[tex]f(2) = 5 + 3[/tex]

Substitute 3 for f(1)

[tex]f(2) = 5 + f(1)[/tex]

Express 1 as 2 - 1

[tex]f(2) = 5 + f(2-1)[/tex] ----- (1)

When n = 3

[tex]f(3) = 5 * 3 - 2 = 15 - 2 = 13[/tex]

[tex]f(3) = 13[/tex] can be rewritten as

[tex]f(3) = 5 + 8[/tex]

Substitute 8 for f(2)

[tex]f(3) = 5 + f(2)[/tex]

Express 2 as 3 - 1

[tex]f(3) = 5 + f(3 - 1)[/tex]  ------ (2)

Write out (1) and (2)

[tex]f(2) = 5 + f(2-1)[/tex]

[tex]f(3) = 5 + f(3 - 1)[/tex]

Replace 2 and 3 with n in both cases; This gives

[tex]f(n) = 5 + f(n - 1)[/tex]

Hence;

The recursive is [tex]f(n) = 5 + f(n - 1)[/tex]

Answer:

Instead of moving the 3x to the opposite side of the equation they moved the 2x. And the correct answer is x=-6 not x=6.

Step-by-step explanation:

Student Work:

2(x + 4) – 8 = 3x+10-4

2x + 8–8 = 3x + 6

2x = 3x + 6

- 3x – 3x

X = 6

My work:

2(x+4)-8=3x+10-4

2x+8-8=3x+6

2x=3x+6

-x=6

x=-6

Answer:

648

Step-by-step explanation:

here u go

Answer:

648

Step-by-step explanation:

24 x 27 = 648

Answer: 35

Step-by-step explanation:

Answer:

W, M, A and G

Step-by-step explanation:

The question is not correct, the correct question is Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the  towns can be represented by four points: A, G, M, and W. Given that MG + WM = WG and MA = MG - AG determine the  proper order of the four towns.

Answer: The line segment addition postulate states that for a line segment AC with point B which lines on AC, then this equation holds:

AB + BC = BC

Given that MG + WM = WG, this means that point M lies between the segment WG.

Also, MA = MG - AG

MA + AG = MG, hence point A lies between segment MG

Therefore the order of the points is W, M, A and G

Answer:

The Observation made about the distances between three pairs of corresponding vertices is that the distance between each translated pair must be equal to the distance between every translated pair . i.e distance between A and A' = distance between B and B' = distance between C and C'  

Step-by-step explanation:

The Observation made about the distances between three pairs of corresponding vertices is that the distance between each translated pair must be equal to the distance between every translated pair . i.e distance between A and A' = distance between B and B' = distance between C and C'  

from this observation Translation is the movement of all vertices of  shapes at a fixed distance along a given co-ordinate, The movement of the vertices of a shape at a fixed distance is just another way of defining the movement of the points of a shape at a fixed distance in relation  to translation

Answer:

Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

did it on edge soo there ya go

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

would it be C.

Y, Z

Answer:

3.14

Step-by-step explanation:

it will go on foreever

Answer:B = S C + 8 C

Answer:

3526.48502

3526.49 as after 8 there is 5 and more than

Step-by-step explanation:

Answer:

3526.49

Step-by-step explanation:

You look at two 2dp after the decimal point. It is 8. You look to the number on the right which is 5 so you round up to 9.

We can use the given points to solve.

Slope formula: y2-y1/x2-x1

3-(-3)/-4-2

6/-6

-1

Best of Luck!

(2, -3) and (-4, 3)

The slope of the line through (2, -3) and (-4, 3).

y2 - y1 / x2 - x1

3 + 3 / -4 - 2

= 6 / -6

= -1

-1

Answer:

Step-by-step explanation:

5000000

+ 2000

5002000 (Answer)

Answer:

$54,720

Step-by-step explanation:

If you make $4560 a month and there are 12 months in a year the equation would be...

$4560 * 12 = yearly salary

4560 * 12 = 54720

So your yearly salary is $54,720

Hope this helps!

Answer:  E. N1.10

Step-by-step explanation:

18 words cost a total of 35k          

48 - 18 = 30 additional words cost 2.5k each: 30 × 2.5 = 75k

35k + 75k = 110k

                = N1.10

The answer would be letter B.

Answer:

-11

Step-by-step explanation:

the formula for the distannce of AB with A the starting point is

B-A

so in this case

FB

F is the starting point

-6-5=-11

Answer:

-a^2-a+12

Step-by-step explanation:

After multiplying and opening the brackets

we get

-a^2-4a+3a+12

=-a^2-a+12. ( simplifying)

hope it helps.....

Answer:

[tex] \boxed{\sf -a^2 - a + 12} [/tex]

Step-by-step explanation:

⇒(-a + 3)(a + 4)

⇒-a(a + 4) + 3(a + 4)

⇒(-a)(a) + (-a)(4) + (3)(a) + (3)(4)

⇒-a² - 4a + 3a + 12

⇒-a² - a + 12

Answer:

The answer would be two because one of the lines would be a parabolic line and parabolic lines only have at the most two solutions.

The greatest possible number of intersections for the graphs is two.

It follows from the task content that the two graphs involved are;

By convention, a quadratic graph produces a parabola and a linear graph produces a straight line. On this note, it follows that the best case of intersection is when the straight line crosses over the parabola and hence leading to two points of intersection.

Read more on linear and quadratic expressions;

https://brainly.com/question/2438097

Answer:

681

Step-by-step explanation:

multipy the speed by distance and time

Answer:

681

Step-by-step explanation:

Answer: [tex](1,-\frac{3}{2})[/tex]

Step-by-step explanation:

To find the midpoint, you use the formula [tex]midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex].

The points are (-2,-1) and (4,-2).

[tex]midpoint=(\frac{-2+4}{2} ,\frac{-1+(-2)}{2} )[/tex]              [add]

[tex]midpoint=(\frac{2}{2} ,\frac{-3}{2} )[/tex]                            [divide]

[tex]midpoint=(1 ,\frac{-3}{2} )[/tex]

Now, we know the midpoint is [tex](1,-\frac{3}{2})[/tex].

Answer:

C

Step-by-step explanation:

I got it right on a quiz

Answer:

0 m/s

Step-by-step explanation:

The line is flat so there is no movement

Answer:

b

Step-by-step explanation:

on this graph a horizantal line means no speed because there is no change in distance

Answer:

625%

Step-by-step explanation:

Answer:

The Answer is B (2x[tex]10^{9}[/tex],7x[tex]10^{-1}[/tex],8x[tex]10^{-8}[/tex],9x[tex]10^{-9}[/tex])

Step-by-step explanation:

It is the largest to smallest.

Answer:

170%

Step-by-step explanation:

Answer:

150 square inches

Step-by-step explanation:

The surface area is the exposed area, which would be 6 sides with an area of 25 and 25x6 is 150

Answer:

150 square inches

Step-by-step explanation:

The surface area of the cube is

[tex]S_A=A_1+A_2+A_3+A_4+A_5+A_6[/tex]

but it's a cube so all the areas are the same

[tex]S_A=6A_1[/tex]

and the area of

[tex]A_1=l^2[/tex]

[tex]l=5\\\\A_1=5^2\\\\A_1=25[/tex]

so the surface area is

[tex]S_A=6(25)\\\\S_A=150[/tex]square inches