write the next three terms of the sequence.

Answer:

See Explanation

Step-by-step explanation:

1.

Given

[tex]y = 6x - 11[/tex]

[tex]-2x - 3y = -7[/tex]

Solve for x and y

In the first equation, we have: [tex]y = 6x - 11[/tex]

Substitute [tex]6x - 11[/tex] for [tex]y[/tex] in the second

[tex]-2x - 3y = -7[/tex]

[tex]-2x - 3(6x - 11) = -7[/tex]

[tex]-2x - 18x + 33 = -7[/tex]

[tex]-20x+ 33 = -7[/tex]

[tex]-20x= -7-33[/tex]

[tex]-20x= -40[/tex]

Divide through by -1

[tex]20x = 40[/tex]

[tex]x = 40/20[/tex]

[tex]x = 2[/tex]

Recall that:

[tex]y = 6x - 11[/tex]

[tex]y = 6 * 2 - 11[/tex]

[tex]y = 1[/tex]

2,

Given

[tex]-3x - 3y = 3[/tex]

[tex]y = -5x - 17[/tex]

In the second equation, we have: [tex]y = -5x - 17[/tex]

Substitute [tex]-5x - 17[/tex] for [tex]y[/tex] in the first equation

[tex]-3x - 3y = 3[/tex]

[tex]-3x - 3(-5x - 17) = 3[/tex]

[tex]-3x + 15x + 51 = 3[/tex]

[tex]12x + 51 = 3[/tex]

[tex]12x=3 - 51[/tex]

[tex]12x=-48[/tex]

[tex]x = -48/12[/tex]

[tex]x = -4[/tex]

Recall that: [tex]y = -5x - 17[/tex]

[tex]y = -5 * -4 - 17[/tex]

[tex]y = -3[/tex]

3. Given

[tex]-4x + y = 6[/tex]

[tex]-5x - y = 21[/tex]

Add both equations to eliminate y

[tex]-4x - 5x + y - y = 6 + 21[/tex]

[tex]-9x= 27[/tex]

Solve for x

[tex]x = 27/-9[/tex]

[tex]x = -3[/tex]

Substitute -3 for x in the first equation: [tex]-4x + y = 6[/tex]

[tex]-4 * -3 + y = 6[/tex]

[tex]12 + y = 6[/tex]

[tex]y = 6 - 12[/tex]

[tex]y = -6[/tex]

4. Given

[tex]-7x - 2y = -13[/tex]

[tex]x - 2y = 11[/tex]

Make x the subject in the second equation

[tex]x - 2y = 11[/tex]

[tex]x = 11 + 2y[/tex]

Substitute 11 + 2y for x in the first equation

[tex]-7x - 2y = -13[/tex]

[tex]-7 (11 + 2y) - 2y = -13[/tex]

[tex]-77 -14y - 2y = -13[/tex]

[tex]-77 -16y = -13[/tex]

[tex]-16y = -13 + 77[/tex]

[tex]-16y = 64[/tex]

[tex]y = 64/-16[/tex]

[tex]y = -4[/tex]

Substitute -4 for y in [tex]x = 11 + 2y[/tex]

[tex]x = 11 + 2 * -4[/tex]

[tex]x = 11 -8[/tex]

[tex]x = 3[/tex]

5. Given

[tex]-2x + 6y = 6[/tex]

[tex]-7x + 8y = -5[/tex]

Multiply the first equation by 7 and the second by - 2 to eliminate x

The first

[tex]7(-2x + 6y = 6)[/tex]

[tex]-14x + 42y =42[/tex]

The second

[tex]-2(-7x + 8y = -5)[/tex]

[tex]14x - 16y = 10[/tex]

Add the resulting equations

[tex]-14x + 42y =42[/tex]

[tex]14x - 16y = 10[/tex]

------------------------------

[tex]-14x + 14x + 42y - 16y = 42 + 10[/tex]

[tex]42y - 16y = 42 + 10[/tex]

[tex]26y = 52[/tex]

Solve for y

[tex]y = 52/26[/tex]

[tex]y = 2[/tex]

Substitute 2 for y in [tex]-2x + 6y = 6[/tex]

[tex]-2x + 6 * 2 = 6[/tex]

[tex]-2x + 12 = 6[/tex]

[tex]-2x = 6 -12[/tex]

[tex]-2x = -6[/tex]

Solve for x

[tex]x = -6/-2[/tex]

[tex]x = 3[/tex]

Answer:

4 Hours.

Step-by-step explanation:

If the run 11 miles in a hour, then do 11 times as many hours.

11 x 4 = 44.

The value of the expression given in terms of u is -vt / sw

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, an expression, vt = -swu, we are asked to find the expression in terms of u,

vt = -swu

u = -vt / sw

Hence, the value of the expression given in terms of u is -vt / sw

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Answer:

Step-by-step explanation:

Clone = original * scale factor

Clone size

Converted to inches

Given:

The sum of a number times 10 and 16 is at most 28.

To find:

The inequality for the given statement.

Solution:

Let the unknown number be c.

A number times 10  = 10c

Sum of a number times 10 and 16 = 10c + 16

At most 28 = Number should less than or equal to 28.

The inequality for given sentence is

[tex]10c+16\leq 28[/tex]

Therefore, the required inequality is [tex]10c+16\leq 28[/tex].

Answer: 5.176 units

Step-by-step explanation:

x/20 = sin(15)

x = 20*sin(15) = 5.176 units

Answer: 140 ft^2

Step-by-step explanation:

Triangle:

A = 1/2bh

A = 1/2(6 • 4)

A = 1/2(24)

A = 12

Square:

A = bh

A = 16 • 8

A = 128

Add them

128 + 12 = 140 ft^2

Answer:

7.21 ft

Step-by-step explanation:I don't know if i did it right but this is what I got.

Answer:

557.03

Step-by-step explanation:

525.50 + 525.50(.06)

525.50 + 31.53

557.03

Alternative method:

525.50(1.06)

557.03

Answer:

the answer is 44 and evaluate is just a fancy word for solve i believe

Step-by-step explanation:

Answer:

x<5

Step-by-step explanation:

x+4<1

x<+1-4(in this situation +1-4 is kinda like saying -4+1 so you add them)

{x<5}

(thanks and sorry and welcome)

Answer:

For the inequality statement, x ≤ -3, multiply each side of the inequality by the reciprocal of . The solution is x ≤ -12.

Step-by-step explanation:

[tex]\frac{4}{1}[/tex] · [tex]\frac{1}{4}[/tex]x ≤ -3 · [tex]\frac{4}{1}[/tex]

Answer: 288

Step-by-step explanation:

um what

Answer:

12 × 24 = 288.

Step-by-step explanation:

hope this helps :)

Answer:

-36

Step-by-step explanation:

4(-8-3*(1/3)) = 4(-8-1) = -36

The weight of the bag =

Weight of 2 pairs of shoes  + weight of 10 items of regular clothes + weight of 2 coats.

A weight characteristic is a mathematical tool used when appearing a sum, critical, or average to provide some factors extra "weight" or impact on the result than different factors within the equal set.

Weight Value is the basis of the overall progress calculation processes used to determine the weight of each phase in the project. It is measured based on the distribution of weight values and obtained by multiplying the weight value of each task in the project.

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Answer:

(C) 350 yards

Step-by-step explanation:

From available information

Mean = 790

1 running back = 1637 yards

Standard deviation above mean = 2.42

Using formula

z =( x - mean)/sd

2.42 = (1637-790)/sd

2.42 = 847/sd

We cross multiply

2.42sd = 847

Divide through by 2.42

Sd = 847/2.42

Sd = standard deviation = 350

So our answer is 350 and therefore option c.

Answer:

w=8

Step-by-step explanation:

1(8)+12=2(8)+4

8+12=16+4

20=20

Answer:

just write it into a number problem instead of word problem, then I can solve it!! :)

Step-by-step explanation:

I can only solve it when there is a pic of it or if you write it in NUMBERS NOT WORDS. :)

Answer:

K = v /f − c

Step-by-step explanation:

Answer:

a.2,3,4

Step-by-step explanation:

Answer: 0.125

Step-by-step explanation:

Answer:

0.125

1/8

= 0.125

= 12.5%

the distance is s mil lion

Answer:

million

Step-by-step explanation:

Answer:

536  Gallons

Step-by-step explanation:

If you multiply 33.5 times 16 you will get your answer

Please put brainliest.

Answer:

This is it ranked from least to greatest. 3/10 being the least

3/10

5/9

45/90

Answer:

c 80

Step-by-step explanation:

by the process of elimination you can already tell that it's not 90° futhetmore 180° and 100° are way too much, you can guess these answers based on the size of it though to confirm it you should use the proper math equations, Don't forget that the angles should add up to 180 degrees meaning since there is 100° in the opposite side the answer is 80.

Answer:

I believe the answer is C.

Step-by-step explanation:

Same side interior angles tend to add up to 180 degrees, so I think you subtract 100 from 180. You get 80 degrees.

Answer:

u need to substitute (8,11) in the equation because the line passses through that point

Answer:

When given a literal equation, you will often be asked to solve the equation for a

given variable. The goal is to isolate that given variable. The process is the same

process that you use to solve linear equations; the only difference is that you will

be working with a lot more letters, and you may not be able to simplify as much as

you can with linear equations. This packet will hopefully show you the process in a

simple manner so that you will be able to solve literal equations yourself. See

examples before for the method to solving literal equations for a given variable:

Answer:

Step-by-step explanation:

To solve a literal equation means to rewrite the equation so a different variable stands alone on one side of the equals sign. We have to be told for which variable we want to solve.

Linear equations in one variable may take the form a x + b = 0 \displaystyle ax+b=0 ax+b=0 and are solved using basic algebraic operations. We begin by classifying linear equations in one variable as one of three types: identity, conditional, or inconsistent. An identity equation is true for all values of the variable.

I hope this helps. Sorry if I could not answer your question!

Look at the graph I added here