Mathematics High School

Find the 13th term of the arithmetic sequence – 3x – 5, 4x – 12, 11. – 19,.

Answers

Answer 1

Answer:

13 = 81 x - 89

Step-by-step explanation:

Answer 2

Answer:

81x-79

Step-by-step explanation:

I'm going to assume that the last expression is 11x-19 instead of 11.-19. First things first, we find a pattern in this arithmetic sequence. We can see that each expression adds 7x-7 to get the next term. We then can create a formula for this. Since the first expression is -3x-5, and it repeadetly adds 7x-7, we can get (-3x-5)+(7x-7). But we're not done here yet.

We can notice that the first term doesn't add any 7x-7 to it. The second term adds 1 of the (7x-7)'s, and the third term adds 2. The relationship between the term number and the number of (7x-7)'s added to -3x-5 always subtracts one. I'm going to add t as #term to show that t-1 is the number of (7x-7)'s that are added to (-3x+5)So, we can add a (t-1) to this expression to get (-3x+5)+(7x-7)* (t-1). Now that we have the formula, we insert 13 as t into the equation and simplify.

=(-3x+5)+(7x-7)*12

=(-3x+5)+84x-84

=81x-79

Note that this is just my way of solving these types of things, but an alternative way is to keep adding 7x-7 to the sequence until you get to the 13th expression. That works too. Hope this helps! Good luck! (I'm not really sure if this answer is correct, but please let me know if it is wrong)

Related Questions

domain. range

y =×2- 2 ×- 3

Answers

Answer:

−y+x

−3

Step-by-step explanation:

Pasos para resolver una ecuación lineal

y=x2−2x−3

Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo.

−2x−3=y

Resta x

en los dos lados.

−2x−3=y−x

Agrega 3 a ambos lados.

−2x=y−x

Divide los dos lados por −2.

−2

−2x

−2

y−x

Al dividir por −2, se deshace la multiplicación por −2.

−2

y−x

Divide y−x

+3 por −2.

−y+x

−3

In this assignment, you will conduct research to find the best loan for your first car. Using reference
materials and Internet sites, you will collect information for a used car and loan options to buy the car.
You will use an online loan calculator to find the best option for a used car loan. You will do a multimedia
presentation on the best loan option for a used car and the resources you used, along with the options
you explored to decide on the best loan option. A list of search term suggestions for finding resources is
provided at the end of this guide.
Your presentation should include the following slides. The slides should be a title slide, a slide containing
your used car information, a slide containing information on loan options with a bank and with a credit
union, a slide including calculations, a slide comparing the loan options, a slide with the best choice for a
car loan, and a works-cited slide.

Answers

We have that for the Question, it can be said that this is a way to approach the presentation

The first slide should bear the presentation titleFollowed by your pick or selected car information,its specificationsFollowed by a slide on the koan option you've selected as bestFollowed by a slide on the calculation earlier doneFollowed by a slide on the summary of different loan calculations calculation earlier done on different options comparedFollowed by a slide on your eventual pickFollowed by a slide on the References or sources of information

Generally we are asked to conduct a research on your car using reference

materials and Internet sites

Where Reference materials soak of none internet site that relate to the topic of cars

While

Internet sites refers to sites on the net that gives detailed and affirmed information on used cars

e.g www.cars.com

Hence making use of a calculator online like Loan calculator at www.calculator.net ,you decide the best used cars based on price and Quality ratio

Using a multimedia entails the use of modern media gadgets and apps to make a presentation, and here your material will be those sites visited ,those none site resources used e.g QuestionnairesHow you made your price to quality ratio assessment, the other option you also thought where good in comparison with your option

Now on the slides

For more information on this visit

https://brainly.com/question/14209188

help please will give brainliest !!!!

Answers

Answer:

a) alternate interior angles

b) vertical angles

c) corresponding angles

d) linear pair

Step-by-step explanation:

Alternate interior angles:

formed when a transversal intersects two lines on the same plane located on the inside/interior side of the parallel lines, but they're on the opposite sides these angles are congruent Example: angles D and E

Vertical angles:

pair of opposite angles formed by lines that intersect these angles are congruentExample: angles E and H

Corresponding angles:

angles that have the same relative position, formed by a transversal intersecting two parallel lines these angles are congruent Example: angles A and E

Linear pair:

pair of adjacent angles formed by two intersecting linesangles have measures that add up to 180 degreesExample: angles C and D

for g(x)=2x^2-8x-10 find each value
g(2)
g(5)+12
g(8)-18
g(-3)-g(4)

Answers

Answer: ask your teacher duh

Step-by-step explanation:

Can some one help me with this simple project GIVING EXTRA BRAINLIST!!!!

Answers

Okay,

Im not going to do the project because you draw that but, ill give an online overview of ur "project."

chip and dip magazines ratio of men to women subscribers is 5 to 8 if they have 75000 women how many men

Answers

Answer:

46875

Step-by-step explanation:

Men :Women = 5 : 8

Total parts = 5+8 = 13

Total number be x

[tex]\dfrac{8}{13}*x = 75000\\\\\\x =75000*\dfrac{13}{8}\\\\\\x = 121875[/tex]

Number of men = 121875 - 75000 = 46875

ANSWER QUESTION 2 PLEASE? OR EXPLAIN IT?

Answers

Answer:

Step-by-step explanation:

Answer: The length of the third side is greater than 4 ft and less than 20 ft.

Step-by-step explanation: Given that two sides of a triangle have lengths 8 ft and 12 ft.

We are to describe the possible lengths of the third side.

Let x ft be the length of the third side of the triangle.

We know that

the sum of the lengths of any two sides of a triangle is always greater than the third side.

So, we must have

Also,

and

From inequalities (i), (ii) and (iii), we get

Thus, the length of the third side is greater than 4 ft and less than 20 ft.

Pre-Algebra simple question

Answers

Step-by-step explanation:

multiplication

yep that is the answer

Answer:

multiplication should be used

Tucker rings up an item that costs $35. After sales tax, the total is $37.80. What is the sales tax percentage?

Answers

Answer:

3 PERCENT

Step-by-step explanation:

I DID THE QUIZ

divide 75 liters in the ratio 12 8 5

Answers

Answer:

According to the question,

[tex]12x + 8x + 5x = 75[/tex]

_____________________

[tex]12x + 8x + 5x = 75[/tex]

[tex]25x = 75[/tex]

[tex]x = \frac{75}{25} [/tex]

[tex]x = 3[/tex]

Now,

[tex]12x = 36[/tex]

[tex]8x = 24[/tex]

[tex]3x = 15[/tex]

So,

75 in the ratio of 12 : 8 : 5 is

36, 24 and 15

Answer:

36 : 24 : 15

Step-by-step explanation:

sum the parts of the ratio, 12 + 8 + 5 = 25 parts

Divide the quantity by 25 to find the value of one part of the ratio

75 l ÷ 25 = 3 l , then

12 parts = 12 × 3 = 36 l

8 parts = 8 × 3 = 24 l

5 parts = 5 × 3 = 15 l

HELPPPPPPP ME ASAPPPPPP

Answers

Answer:

Step-by-step explanation:

Perpendicular lines intersect to create right angles. That rules out A and B because both have a right angle in them. C has two lines that are parallel. The only one left is D which is neither parralell or perpendicualar.

A local little league has a total of 60 players ,80% of whom are right handed how many right handed players are there?

Answers

48 because 60 (the number of players) times 0.80 (the percentage) is 48.

Write the following numbers in order of size. Start with the smallest number. -8 2 -12 5 10

Answers

Answer:

-12, -8, 2, 5, 10

Step-by-step explanation:

-12, -8, 2, 5, 10

Answer:

-12, -8, 2, 5, 10

Step-by-step explanation:

We have to remember here that when integers are negative, the number that looks the biggest is actually the smallest! What do I mean? Well, a value of -100 is actually way smaller than a value of -1, since it's a lot farther to the left of 0 than -1 is. Does that make sense?

Let's take that in mind as we start looking at our values. If what I just said is true, -12 is the smallest value, since it's the farthest to the left of 0. Then comes -8. From there, it's not too hard. 2 is the next smallest, then 5, and finally, 10 is our greatest number.

So, our answer is -12, -8, 2, 5, 10. Hopefully that's helpful! :)

Find the product. Simplify your answer.
(4c+3)(3c–3)

Answers

Hello!!

(4c+3)(3c−3)

=(4c+3)(3c+−3)

=(4c)(3c)+(4c)(−3)+(3)(3c)+(3)(−3)

=12c2−12c+9c−9

=12c2−3c−9

Answer^

Hope this helps ((brainliest!!!))

2 tbsp. of peanut butter have 0.25 of total carbohydrate a day what fraction is that?

Answers

0.25 is 1/4 if that's what youre asking, i'm not sure,

What function represents the next graph?

Answers

[tex](x {}^{2} - 4) {}^{2} [/tex]

Brainliest me please please

PLEASE HELP ASAP
A shop sells a washing machine for £236.25, making a profit of 5%. At what wholesale price did the shop buy the washing machine?
Original price = £

Answers

Answer:

£225

Step-by-step explanation:

The relationship between the cost price (cp) and the selling price (sp) is ...

cp + 5% × cp = sp

cp(1.05) = sp . . . . . . collect terms

cp = sp/1.05 . . . . . . divide by 1.05

cp = £236.25/1.05 = £225

The original wholesale price was £225.

Consider the function given by the graph. What are
these values?
fl-2) =
10) =
f(4) =

Answers

Answer:

f(-2) = 2

f(0) = 4

f(4) = -1

Step-by-step explanation:

Given the graph of a piecewise function:

[tex]\displaystyle\mathsf{f(x) = \left \{ {{x\:+\:4\quad if\:\:x\leq \:0} \atop {-\frac{1}{2}x\:+\:1\quad if\:\:x\: >\:0}} \right.}\\[/tex]

Side note:

I used the method of finding the linear equations in slope-intercept form to establish the piecewise function. First, I solved for the slope by choosing two points in each defined interval. Then, I plugged in the y-intercepts of each interval, for f(x) = x + 4: the y-intercept is (0, 4) where b = 4; for f(x) = -½x + 1, the y-intercept is (0, 1) where b = 1.

Explanation:

There are two methods for determining the range values of the given domain values.

Method 1: The first method is using the graph to find the corresponding range values of the given domain {-2, 0, 4}.

Method 2: Alternatively, we could use the rules provided by the piecewise function in evaluating the following domain values. This post will use the second method (using the piecewise function) to evaluate the input values.

Regardless of the method used, the results will remain the same.

f(-2)

Since the input value is x = -2, then we must use the function, f(x) = x + 4:

f(x) = x + 4

f(-2) = -2 + 4

f(-2) = 2

Therefore, the range value given the domain, x = -2 is 2, or simply: f(-2) = 2.

f(0)

Given the input value is x = 0, then we must also use the function, f(x) = x + 4:

f(x) = x + 4

f(0) = 0 + 4

f(0) = 4

Therefore, the range value given the domain, x = 0 is 4, or f(0) = 4.

f(4)

Since the input value is x = 4, then we must use the function, f(x) = -½x + 1:

f(x) = -½x + 1

f(4) = -½(4) + 1

f(4) = -2 + 1

f(4) = -1

Therefore, the range value given the domain, x = 4 is -1, or f(4) = -1.

Is w = 4 a solution to the inequality below? w < 11 5 yes no

Answers

Answer:

yes

Step-by-step explanation:

just sub in the 4 for the w and see if the equation can be solved. if it can, then w=4 is a solution.

since 4 IS less than 11 5, w=4 can be a solution.

Brainliest please!!! Have a good day!!!!

help me please thanks

Answers

Answer:

h(t) = -3 + 1.5t

Step-by-step explanation:

Well, the temperature starts at -3, so that will be the y intercept. 1.5 is the rate, so that will be the slope.

h(t) = -3 + 1.5t

plss help me with this:((((

Answers

Step-by-step explanation:

what is a square ? or is a number or term/expression for which the square root creates a clean result without any endless positions after the decimal point or non-integer exponents.

for the first problem a is already the right answer.

14b⁴ is not a square term, although b⁴ itself is one (= b²×b²), because 14 is not a square (its square root is an endless number).

1 is actually a square (= 1×1).

b² and y⁴ are squares (b×b and y²×y²).

16b² and 49 are squares (4b×4b and 7×7).

(b+1)⁴ and 4b⁶ are squares ((b+1)²×(b+1)² and 2b³×2b³).

factors of x² + 5x - 6

you know how generic factor multiplication works ?

(x + a)(x + b) = x² + ax + bx + ab

so by comparing, we see that

ax + bx is 5x

therefore

a + b = 5

and

ab = -6

now we could solve this ultimately quadratic problem or (much simpler) use the answer options and see which one fits.

and the right answer is c :

-1 + 6 = 5 (that fits)

-1×6 = -6 (that fits too, so this answer is correct).

What is mZ2 + m 3? А 1 2 3 4 D m22 + m 23 =

Answers

Answer:

link

Step-by-step explanation:

Help HELP HELP HELP URGENT

Answers

Answer:

Step-by-step explanation:

Given the base and height, we can split the triangle into 2.

So now the height for our right triangle with still be 25 but the base will become half of what it used to be which is 12.

Using the Pythagorean Theorem:

A^2+B^2=H^2

a = side of right triangle

b = side of right triangle

c = hypotenuse

Plugin the values

25^2+12^2=H^2

625+144=H^2

769=H^2

27.73=H

Rounded to 28

Hope this helps :)

Simplify the expression.
18+(-4)-2/7 j-6/7j+5=
(Simplify your answer.

Answers

Answer:

(18-4+5)+(2/7 j-6/7 j)=

19 +(-4/7 j)=

Mountain ranges often appear on the edges of continents. What theory does this support?

Mountains were formed when Earth’s crust cooled and Earth shrank.
Mountain ranges were formed when continents collided.
Mountain ranges did not exist millions of years ago.
Mountain ranges were formed only by glaciers.

Answers

Answer: Its B!

Step-by-step explanation:

i just got it right :)

Answer: b. Mountain ranges were formed when continents collided.

Step-by-step explanation:

Please please help meee please help meeee

Answers

Answer:

i. $3000

ii. $9000

Step-by-step explanation:

25%=1/4, so we find one fourth of 12000, which is 3000, which is how much he lost, and remove that from the price he bought it, and we get the selling price, $9000.

( 1 - 7n) times 5

What are the steps to solving it?

Answers

Answer:

5 - 35n.

Step-by-step explanation:

5(1 - 7n)

Using the Distributive Law:

= 5*1 + 5 *-7n

= 5 - 35n.

given the numbers -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6, which are rational numbers?

Answers

Answer:

-100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6

All the numbers

Step-by-step explanation:

A rational number is a number that can be expressed as in a fraction or decimal (m/n form)

All numbers above can be defined.

A rational number is a number that c\an be written in the form of p/q where q is not equal to zero.

The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.

What is a rational number?

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6

-100 = -100/1

It is in the form of p/q.