In a sequence of numbers, a3=0, a4=4, a5=8, a6=12, and a7=16. Based on this information, which equation can be used to find the nth term in the sequence, an?

an=4n−12
A sub n is equal to 4 n minus 12

an=−12n+4
A sub n is equal to negative 12 n plus 4

an=−4n+12
A sub n is equal to negative 4 n plus 12,

an=12n−4

Answer:

17

Step-by-step explanation:

3(2)^2 - 5(-1)^3

3(4) - 5(-1)

12 + 5

17

Answer:

j = [tex]\frac{h-2}{4}[/tex]

Step-by-step explanation:

Given

4j + 2 = h ( subtract 2 from both sides )

4j = h - 2 ( isolate j by dividing both sides by 4 )

j = [tex]\frac{h-2}{4}[/tex]

See attachment for math work and answer.

Answer:

a. 3x-12= -18 b. x=-2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

bottom right hand corner is false

Step-by-step explanation:

Key word perpendicular, it just needs to have relectional symmetry across the line that goes across the figure

Answer:

X is 6 or -6

Step-by-step explanation:

In absolute value it makes everything positive

Answer:

x = 6

Step-by-step explanation:

I hope this helps!

Answer:

y = -3/4x -7

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]

[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]

[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]

[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]

[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]

= 3* 1.732 - 4 *1.4142

= 5.196 - 5.6568

= -0.4608

Exact Answer:   [tex]4\sqrt{2} - 3\sqrt{3}[/tex]

Approximate Answer:  0.46070182678574

Round the approximate value however you need to.

=================================================

Work Shown:

[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]

[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]

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

Note: The rule used here is

If x is positive then [tex]\sqrt{x^2} = x[/tex]

Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]

Since B-A = -0.4607 approximately, we will use the second version of the rule above.

Answer:

[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]

Step-by-step explanation:

[tex] \text{5x + 4 + 2x + 5}[/tex]

[tex] \text{Combine \: like \: terms} : [/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]

➝ [tex] \text{ 7x + 4 + 5}[/tex]

[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]

[tex] ➝ \: \text{7x + 9}[/tex]

[tex] \text{Hope \: I \: helped}[/tex]!

[tex] \text{Best \: regards}[/tex]!

~[tex] \mathfrak{TheAnimeGirl}[/tex]

Answer:

7x + 9

Step-by-step explanation:

Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.

5x+2x = 7x

5+4 = 9

therefore:

7x+9  

Answer:

1. 32

2. 75

3. 384

Step-by-step explanation:

I did the assignment, on EDGE2020 and got it correct

Answer:

b

Step-by-step explanation:

hope this helps

Answer:

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

Step-by-step explanation:

6x^2 + 7x + 24

= 6x^2 + (15-8)x + 24

= 6x^2 + 15x - 8x + 24

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

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

Answer:

3.) 2.5cm

4.) 14mm

5.) 1.75in

6.) 12cm

7.) 4in

8.) 1.6ft

9.) 31.4in

10.) 43.96in

11.) 56.52in

Step-by-step explanation:

3-5 finding the radius is just half of the diameter.

#3

5/2= 2.5

#4

28/2= 14

#5

3.5/2= 1.75

6-8 is finding the diameter. To find the diameter multiply the radius by 2.

#6

6*2= 12

#7

2*2= 4

#8

.8*2= 1.6

9-11 is finding the circumference. To find it use this equation C= 2πr.

C= circumference, 2=2, π= 3.14, r= radius

#9 the diameter is 10in so the radius is 5in

C=2(3.14)5

C=31.4

#10 the radius is 7in

C= 2(3.14)7

C= 43.96

#11 diameter is 18in so the radius is 9in

C=2(3.14)9

C= 56.52

Answer:

I don't know the anwser

Step-by-step explanation:

but the other person does so I'm adding this to get points and so you can make her brainliest

Answer:

117 yd/1 x 3 ft/1 yd = 351 ft

Step-by-step explanation:

[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]

A runner sprinted for 351 feet.

Given that, a runner sprinted for 117 yards (yd).

To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.

Here, multiply the ratio 117/1 by 3/1.

That is, 117 × 3 =351 ft

Therefore, a runner sprinted for 351 feet.

To learn more about the metric conversion visit:

https://brainly.com/question/21244256.

#SPJ5

Answer:

1

Step-by-step explanation:

The value of h(3) basically means what y-value does the function h have when x=3 ?

Looking at the graph, when x is 3, the y value is 1.

h(3)=1

*See attachment for the given diagram.

Answer:

∆ABC and ∆FDE are congruent by the SSS criterion.

The value of x is 11 and the value of y is 8

Step-by-step explanation:

Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.

Thus:

AB ≅ DF

BC ≅ DE

CA ≅ FE

Find x:

Since BC ≅ DE, therefore measure of BC = measure of DE.

BC = x + 3

DE = 14

Thus,

x + 3 = 14

Subtract 3 from each side

x = 14 - 3

x = 11

Find y:

Since AB ≅ DF, therefore the measure of both sides are equal.

AB = 3

DF = x - y

Thus,

x - y = 3

Substitute x = 11 into the equation

11 - y = 3

Subtract 11 from both sides

-y = 3 - 11

-y = -8

Divide both sides by -1

y = -8/-1

y = 8

Answer:

Below

Step-by-step explanation:

got it right

Answer:

5(8x + 6y), 10(4x + 3y), 2(20x + 15y)

Step-by-step explanation:

(5x *8) + (5x *6) = 40x + 30x no

(5 * 8x) + (5 *6y) = 40x + 30y yes

10*40x + 10*30y = 400x + 300y no

10*4x + 10*3y = 40x + 30y yes

2y *20x + 2y*15 = 40xy + 30y no

2*20x + 2*15y = 40x + 30y yes

The expressions that are equivalent to (40x + 30y) is (10(4x + 3y)) and (2(20x + 15y)) and this can be determined by using the arithmetic operations.

Given :

Expression  --  (40x + 30y)

The following steps can be used in order to determine the expressions that are equivalent to (40x + 30y):

Step 1 - The arithmetic operations can be used in order to determine the expressions that are equivalent to (40x + 30y).

Step 2 - Take the 10 common in the given expression.

= 40x + 30y

= 10(4x + 3y)

Step 3 - Also can take 2 common in the given expression.

= 40x + 30y

= 2(20x + 15y)

Therefore, the correct option is D) and F).

For more information, refer to the link given below:

https://brainly.com/question/25834626

Answer:

1102.5 pounds of apples will be sold in a week.

Step-by-step explanation:

Amount of apples in each bag = 3.5 pounds

If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45

                                                                                        = 157.5 pounds

Number of days in a week = 7

Amount of apples sold in one week = Apples sold in a day × Number of days in a week

Amount of apples sold in 7 days = 157.5 × 7

                                                      = 1102.5 pounds

Therefore, amount of apples sold in a week = 1102.5 pounds

Answer:

1102.5 pounds

Step-by-step explanation:

Answer:

25x^14

Step-by-step explanation:

Answer:

[tex]\boxed {x = 12}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]72 + (7x + 24) = 180[/tex]

Add both [tex]72[/tex] and [tex]24[/tex] together:

[tex]72 + (7x + 24) = 180[/tex]

[tex]96 + 7x = 180[/tex]

-Subtract [tex]96[/tex] to both sides:

[tex]96 - 96 + 7x = 180 - 96[/tex]

[tex]7x = 84[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{7x}{7} = \frac{84}{7}[/tex]

[tex]\boxed {x = 12}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]12[/tex].

The value of x in the equation is 12

The given equation is: 72 + (7x+24) = 180

In order to determine the value of x, take the following steps:

1. Expand the terms in the bracket

72 + 7x+ 24 = 180

2. Combine similar terms

7x = 180 - 72 - 24

3. Add similar terms together

7x = 84

4. Divide both sides of the equation by 7

7x / 7 = 84/ 7

x = 12

In order to check if the value of x gotten is correct, substitute for x in the equation

72 + (7(12)+24) = 180

72 + 84 + 24 = 180

A similar question was solved here: https://brainly.com/question/31437?referrer=searchResults

Answer:

880,000

Step-by-step explanation:

Move the decimal in 8.8 five places to the right.

Answer:

16

Step-by-step explanation:

4 x 7 - 6 x 6/3

4 x 7 - 36 / 3

28 - 36 / 3

28 - 12

16

Answer:

a)Robert pay $12 to rent shoes for  everyone

b)Cost of each game is 4.5

c)y = 4.5x+12

Step-by-step explanation:

Refer the attached graph

a)How much did Robert pay to rent shoes for  everyone ?

y - intercept will give the rent shoes for everyone

y intercept is point where the graph of a function or relation intersects the y -axis of the coordinate system.

So, from the graph we can see that at x = 0 , y = 12

So, from the graph we can see that the no. of games is 0 . So, Total cost is 12

Thus Robert pay $12 to rent shoes for  everyone

b)What was the cost per game at the  bowling alley?

So, we are supposed to find the slope

Two pints from graph :

[tex](x_1,y_1)=(0,12)(x_2,y_2)=(2,21)m = \frac{y_2-y_1}{x_2-x_1}=\frac{21-12}{2-0}=4.5[/tex]

So, Cost of each game is 4.5

c)Write an equation to represent the situation  Number of Gomes

General equation : y = mx+c

So, y = 4.5x+12

Answer:

3.9 or 3.88888888889

Step-by-step explanation:

5*7=35

35/9=3.88888888889=3.9

Answer:

5*7 = 35 / 9 =3

Step-by-step explanation:

because it is the closest

Answer:

5 sales is the answer now give brainliest

Answer:

He would have to make 5 sales.

Step-by-step explanation:

To write this as an inequality, you would write it as 20 + 6(x).

Answer:

very funny and 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

7 plus 7? how old are you?