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Answer:

[tex]a_{n}[/tex] = - 3n - 3

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , then

[tex]a_{n}[/tex] = - 6 - 3(n - 1) = - 6 - 3n + 3 = - 3n - 3

Answer:

2/7 and 7/5

Step-by-step explanation:

(2/7) times (7/5) results in the 14/35, which reduces to the desired 2/5.

The two desired fractions are 2/7 and 7/5.

Answer:

x = 9

Step-by-step explanation:

These are alternate exterior angles and alternate exterior angles are equal if m is parallel to n

6x+5 = 7x-4

Subtract 6x from each side

6x -6x+5 = 7x-6x-4

5 = x -4

Add 4 to each side

5+4 =x-4+4

9 =x

Answer:

m∠6 = 110°

Step-by-step explanation:

∠6 and ∠8 are known as corresponding angles meaning they are equal to each other. Since m∠8 = 110°, m∠6 also equals 110°.

Answer:

11o degree

Step-by-step explanation:

angle 6 is 110 degree because the relation between angle 6 and angle 8 is that they are corresponding angles and corresponding angles are always equal.

Option C: Three sides measuring 5 in, 12 in, and 14 in.

Answer:

Step-by-step explanation:

B

Answer:

the second choice

Step-by-step explanation:

Answer:

x=2

y=1

Step-by-step explanation:

2x+y=5

3x+2y= 8

<=> 6x+3y=15

6x+4y=16

<=> -y=-1

2x+y=5

<=> y=1

2x+1=5

<=> y=1

2x=4

<=> y=1

x=2

Answer:

Each slice of bread costs $0.06.

Step-by-step explanation:

To find how much each slice of bread costs, you need to divide the cost (0.90) by how many slices there are (15). When you divide the two, you get 0.06. To check your answer you can do 0.06x15 and that will equal $0.90.

Answer:

0.9/15=$0.06 per slice

Also what is this 1910 when did a loaf of bread cost 90 cents????

Answer:

Step-by-step explanation:

z^2+9z+20

=z^2+(5+4)z+20

=z^2+5z+4z+20

=z(z+5)+4(z+5)

=(z+5)(z+4)

Answer:

-3 • (21d + 25)

Step-by-step explanation:

The letter “n” notates “number” and refers to any number, similar to “x.” The little carat means they the number following, in this case a 2, is an exponent. So this can really be understood as “x squared.” Most likely, this term appeared in an equation.

Answer:

x = 52

Step-by-step explanation:

An isosceles triangle is a triangle with two congruent sides, meaning two sides have the same measure. One property of an isosceles triangle is the base angles theorm. This theorem states that the angles opposite the congruent sides in an isosceles triangle are cognruent. Applying this theorem to the given triangle, one can state the following:

52 = x

Answer:

I think the answer is 52 so x=52

Answer:

twenty-seven dollars

Step-by-step explanation:

0.6×$45=$27

Answer:

Unsure, sorry

Step-by-step explanation:

Answer:

t=6

Step-by-step explanation:

h(t) = -16t^2 +64t + 192

We want h(t) =0

0 = -16t^2 +64t + 192

Factor out -16

0 = -16 (t^2 -4t -12)

Factor.  What terms multiply to -12 and add to -4   -6*2 = -12  -6+2 = -4

0 = -16(t-6)(t+2)

Using the zero product property

0=t+2     0=t-6

t = -2   t=6

But t=-2 happens before the event occurs   so the solution is t=6

Answer:

y=-5x

Step-by-step explanation:

take two points, I took 0,4 and 1-,1 and do

y2-y1 over x2-x1

Answer:

a) x = -10

b) x = 7

Step-by-step explanation:

a)

2(x + 3) = x - 4

2x + 6 = x - 4

2x - x = -4 - 6

x = -10

b)

4(5x - 2) = 2(9x + 3)

20x - 8 = 18x + 6

20x - 18x = 6 + 8

2x = 14

x = 7

Answer: The quotient is 67 the remainder is 2

Answer:

1.3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

103 chairs

Step-by-step explanation:

cost = fee + cost per chair * number of chairs

410 = 100 + 3*c

Subtract 100 from each side

410-100 = 100+3c-100

310 = 3c

Divide by 3

310/3 = 3c/3

103.3=c

We cannot rent part of a chair so we round down

103 chairs

Answer:

I think 3 chairs. (sorry, i read the equation wrong)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

15/x=10/2

Simplifying the right side

15/x = 5

Multiply each side by x

15/x *x = 5x

15 = 5x

Divide each side by 5

15/5 = 5x/5

3 =x

9514 1404 393

Answer:

  (x, y) = (12, -12)

Step-by-step explanation:

The two equations can be added to solve for x.

  (-5x -5y) +(6x +5y) = (0) +(12)

  x = 12 . . . . . . . . simplify

  -5(12) -5(y) = 0 . . . substitute into the first equation

  12 +y = 0 . . . . . . . divide by -5

  y = -12 . . . . . . . . subtract 12

The solution is (x, y) = (12, -12).

Answer:

The y-intercept is 3

Gradient: 4

11-3= 8

2-0= 2

8/2= 4

Hope this helped!

Answer:

A(7,4)

Step-by-step explanation:

-2/3 is the slope and the slope is the rise over the run, and we know it passes through the point (1,8).

Next, we can create a chart/table

X int-1+3=4, 4+3=7

Y int-8-2=6,6-2=4

1st point: (4,6)

2nd point: (7,4)

Hope I helped, have a nice day :)

Answer:

C

Step-by-step explanation:

Factor 18 into its roots ,it would be 2×3×3

5

[tex]5 \sqrt{2 \times 3 {}^{2} } [/tex]

[tex]5 \times 3 \sqrt{2} [/tex]

[tex]15 \sqrt{2} [/tex]

Answer: its the squared root of 18x5

Step-by-step explanation:

you need a calculator to decipher the ones to get the answer

Answer:

90 mph

Step-by-step explanation:

To get miles per hour ([tex]m/h[/tex]), we just need to divide. [tex]360/4[/tex] gives us [tex]90/1[/tex], meaning the train travelled 90 miles in one hour. This is the same as going 90 mph. Hope that explained things :)