(s3−2s−9)+(2s2−6s3+s)

Step-by-step explanation:

step 1. LCD of 1/(5n) and 1/3 is 15n.

Answer:

238 should be the answer

Step-by-step explanation:

Answer:

first 4 terms =7,10,13,16

10th term = 34

Step-by-step explanation:

3n+4

3(1)+4=7

3(2)+4=10

3(3)+4=13

3(4)+4=16

7,10,13,16

10th term = 3(10)+4= 34

The first four terms of the sequence having nth term 3n+4, are 7, 10, 13, 16 and the 10th term is 34.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

Given that,

The nth term of a sequence is given by 3n+4,

To find the first 4 terms, substitute the values of n,

At n=1, the first term = 3(1) + 4 = 3 + 4 = 7

At n=2, the second term = 3(2)+4 = 6 + 4 = 10

At n=3, the third term = 3(3) + 4 = 9 + 4 = 13

At n=4, the fourth term = 3(4) + 4 = 12 + 4 = 16

For 10th term, substitute n=10.

At n=10, the tenth term = 3(10) + 4 = 30 + 4 = 34

The first four terms are 7, 10, 13, 16 and the 10th term is 34.

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Answer:

The rate of change is -5 and the initial value is -1.

Step-by-step explanation:

Hope this helps

P.S. (from k12)

Answer:

4-12

4+8y

I hope this helped.

Answer:

Remember vertical angles are congruent so you can set these expression equal to each other and then solve the equation.

Angle F = angle E

4x + 8 = 3x + 33

Now solve for the x variable.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The problem is asking for the coefficient of the sum of the two expressions, which are 2/3 and -1/6.

2/3 + -1/6 = 1/2, therefore, the answer is 1/2.

Answer:

first convert all fractions to decimals so you can put least to most on the line

a. -.25

b. − .428571 ( repeating)

c. -.2

now put them in order

a(blue)=b,-3/7

b(pink)=a,-2/8

c(green)=c-.2

Answer:

$11.74

Step-by-step explanation:

195.60/100 X 6 = 11.736

monetary unit so round to 2dp

11.74

Answer:

Pretty sure its 256 in2

Step-by-step explanation:

did the iready test

By decomposing the design into two rectangular prisms, the surface area of the design is calculated as: A. 256 in.²

The surface area of a rectangular prism is expressed as, S = 2(lw + lh + wh).

The design can be decomposed into top rectangular prism and bottom rectangular prism.

The surface area of the design = surface area of the top rectangular prism + surface area of the bottom rectangular prism - 2(area of the top rectangular prism that joins the bottom rectangular prism)

Surface area of the top rectangular prism = 2(lw + lh + wh) = 2(5×4 + 5×4 + 4×4) = 112 in.²

Surface area of the bottom rectangular prism = 2(lw + lh + wh) = 2(8×5 + 8×4 + 5×4) = 184 in.²

Area of the top rectangular prism that joins the bottom rectangular prism = l × w = 5 × 4 = 20 in.²

The surface area of the design = 112 + 184 - 2(20) = 256 in.²

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Answer: 4 5/6

Step-by-step explanation: 4 5/6+ 1 3/6(aka 1 1/2)= 6 2/6 (aka 6 1/3)

Answer:

(10, -8)

Step-by-step explanation:

Answer:

solution given:

G(x1,y1)=(-2,2)

H(x2,y2)=(x,y)

Mid point M(a,b)=(4,-3)

we have

(a,b)=((x1+x2)/2,(y1+y2)/2)

(4,-3)=((-2+x)/2,(2+y)/2)

comparing corresponding value

4=(-2+x)/2

8+2=x

x=10

again

(2+y)/2=-3

2+y=-6

y=-6-2

y=-8

So coordinates of H is (10,-8).

Answer:

Remember that when a variable is times with a number, you will divide it by that number which is times with variable on both sides.

when a variable is divided by the number, you will multiply it by that number on the both sides.

I hope you understand my explanation. Thank you !!

Answer:

87.5%

Step-by-step explanation:

There are 376 students in 8th grade at Samuel's school. There are 47 8th graders trying out for football last Thursday.

The number is students not trying out for football last Thursday is calculated as:

376 students - 47 students

= 329 students

The percent of 8th graders that did not try out for football is calculated as:

329 students/376 students × 100

= 329/376 × 100

= 87.5 %

Answer:

-56

Step-by-step explanation:

f(x) = 7x + 7

x = -9

We meed to plug in x = -9 into the first equation:

f(-9) = 7(-9) + 7

We can open up the parentheses:

f(-9) = -63 + 7

And then simplify:

f(-9) = -56

Answer:

Between April and May

Step-by-step explanation:

April and May have a rate of change of 5 (79-74). February and March have a lesser rate of change.

Answer:

Option 2 :- February and March

Step-by-step explanation:

Rate of change between February and March is $ 5 i.e, ($79-$74)

Rate of change between April and May is $ 3 i.e, ($75-$72)

Thus, Rate of change is greater in February and March.

Hope this helps you.

Answer:

$83.38

Step-by-step explanation:

multiply 72.5 by 1.15: 72.5 x (100% of meal + 15% of meal)

[tex] \begin{cases} x - y = - 2 \\ 4x - y = 4 \end{cases}[/tex]

Simply multiply the negative one in one of the equations.

[tex] \begin{cases} - x + y = 2 \\ 4x - y = 4 \end{cases}[/tex]

We can finally eliminate the y-term by adding both equations.

[tex]( - x + 4x) + (y - y) = 2 + 4 \\ 3x + 0 = 6 \\ 3x = 6 \\ x = \frac{ 6 }{3} \longrightarrow \frac{ \cancel{6}}{ \cancel{3}} = 2 \\ x = 2[/tex]

[tex]x - y = - 2 \\ 2 - y = - 2 \\ 2 + 2 = y \\ 4 = y[/tex]

First Equation

[tex]x - y = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]

Second Equation

[tex]4x - y = 4 \\ 4(2) - 4 = 4 \\ 8 - 4 = 4 \\ 4 = 4 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]

Hence, the solution is (2,4).

[tex] \begin{cases} x = 2 \\ y = 4 \end{cases}[/tex]

Coordinate Form

[tex](2,4)[/tex]

Answer:

Quadrant 1: 10x^2

Quadrant 2: -4x

Quadrant 3: 5x

Quadrant 4: -2

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

5 goals

Step-by-step explanation:

4 goals per game for 15 games means a total of 60 goals in that season. You have 4 goals per game for 14 games meaning you have a total of 56 goals. To overtake the leading team you must score a minimum of 5 goals to become the leading scorer. (Double-check to make sure I am correct)

Answer:

7(2k+5)

Step-by-step explanation:

Not sure if I’m correct

And the factor is 7 out of 14k+35