Is y= x/2 linear or nonlinear

Answer:

A

Step-by-step explanation: Took a quiz  

Answer:

As we can see -15 = 5 * (-3); 45 = - 15 * (-3) and so on. This means that a_n = -3 * a_(n-1). The first term in our series is 5 so we obtain

5 - 15 + 45 - 135 + ... = summation from n equals zero to infinity of 5 * (-3)^n.

The sum using summation notation, assuming the suggested pattern continues is S = 1.25[1+[tex](-3)^{n}[/tex]].

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

Given series is 5 - 15 + 45 - 135 + ...

Here the common ratio is -3 as you can see -15/5 = -3.

so using the below formula of the gp summation.

[tex]\sum\limits_{k = 1}^\infty {ar^{k - 1} = \frac{a}{{1 - r}}}[/tex]

Now our n is act like k so by putting value we get

S = 1.25[1+[tex](-3)^{n}[/tex]] which is the summation of the given gp.

Hence the given formula will be our summation.

For more information about the geometrical progression

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Answer: There were 8 granola bars in each box, x = 8.

Step-by-step explanation:

The first step is write an equation:

4x + 5x = 72

The second step is to combine like terms:

4x + 5x = 72

9x = 72

Step 3 is to use the properties of equality and inverse operations to solve the equation:

9x/9 = 72/9

x = 8

Since x = 8, there were 8 granola bars in each box.

I hope I helped and have a great day! Please mark me brainliest. ^-^

Answer:

Step-by-step explanation:

Answer:

11 dimes and 4 nickles

Step-by-step explanation:

Answer:

11 dimes equals 1.10 and 4 nickels equals 20 cents

Step-by-step explanation:

Answer:

5 yes

7 yes

9 no

Step-by-step explanation:

(4*7)^x is 28 which is greater than 0 and not equal to one.

Same with 7

9 has a negitive 5 being multiplied to 9 which leads it to being -45^x which is less than zero

Answer:

i need some points sorry not sorry

Answer:

Exponential growth

4%

12

Step-by-step explanation:

Given the function :

​f(n) = 12(1.04)^n​

Part A: Is this a growth or decay exponential function?

The equation above is usually generally represented as :

F(n) = A(1 ± r)^n

Where F(n) = final amount after n years ; r = rate ; n = number of years

The function Given above is thus :

F(n) = 12(1 +0.04)^n

This is an exponential growth function because of the negative rate (+ 0.04)

Part B: What is the growth or decay percentage for this function

From the equation :

F(n) = A(1 + r)^n ; r = rate

Comparing F(n) = 12(1 +0.04)^n ; r = 0.04 = 0.04*100% = 4%

Part C: What does the y-intercept of the graph of the function f(n) represent?

The y intercept :

Value of F(n) when n = 0

F(n) = 12(1 +0.04)^n

F(n) = 12(1 +0.04)^0

Fn = 12(1)

Hence, intercept = 12

Answer:

1. Given

2. Definition of a midpoint

3. Given (read below)

4. Veritcal Angles (I'm assuming since they are not complementary/add up to 90 degrees)

5. SAS (only one that makes the most sense)

Sorry, it's been a while since I did proofs, hope this helped! :)

Step-by-step explanation:

For #3 a given statement should typically be together so this is strange.

The price of the set of dishes is $190.

You are getting 90% off.

$190 x 90% = $171

$190 - $171 = $19

Bryant will pay $19 for the set of dishes.

-HannahGobin

Answer:

it will be more wildfires longer periods of droughts

40%

We get: 40% of 30 is 12.

Is this true?

Yes! 40% of 30 = (0.4)(30) = 12

Answer:

y=125x+220

Step-by-step explanation:

y is cost

125 is the slope since that is the number that increases

x is the amount of hours since he charges 125 per hour

220 is the y intercept or initial value

125 times 32 = 4000. This is the amount charged just off of hours

If you add the initial cost for the initial meeting which is 220. 4000+220=4220

Answer:

Isosceles triangle

Step-by-step explanation:

Given

Triangle ABC

Required

Reflect across BC and name the triangle according to length of its side

When the triangle is reflected across line BC, the new triangle is ACA (see new attachment)

And the sides of this ACA are:

AC, CA and AA

Such that

AC = CA

and

[tex]AA = 2 * AB[/tex]

[tex]AA = 2AB[/tex]

From the description above, we have two sides (AC and CA) of the triangle to be equal.

By classification of sides, when two sides of a triangle are equal; such triangle is an isosceles triangle

Triangle ACA' has two equal sides, based on the side lengths, triangle ACA' can be classified as: an isosceles triangle.

Recall:

Given that triangle ABC is a right triangle, if we reflect it across line BC, we will have  mirror figure of right triangle ABC, forming triangle ACA'.

That is, two right triangles of ABC, which are reflections of each other, will form triangle ACA'. (See image attached).

Thus, this means that:

Therefore,

Also, CA = C'A (congruent sides)

This means that, triangle ACA' has two equal sides that are opposite to each other.

Therefore, based on the side lengths, triangle ACA' can be classified as: an isosceles triangle.

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Answer:

C

____________

Step-by-step explanation:

4-3

6-5

8-6

10-4

13-3

Answer:

Will Fredericks recipe make 10 loaves?

Step-by-step explanation:

It is given that Fredick and Kate have flour  [tex]$=17\frac{1}{3}$[/tex]   cups

And Fredrik has a recipe where he calls for [tex]$1\frac{5}{8}$[/tex]  cups of flour while Kate calls for [tex]$1\frac{3}{4}$[/tex] cups of floor.

So first we add the total cups of floor that they have

i.e. [tex]$17+\frac{1}{3} = \frac{52}{3}$[/tex]

Similarly cups of flour in the recipe of Fredrick = [tex]$1+\frac{5}{8}= \frac{13}{8}$[/tex]

Therefore, number of loaves that Fedrick can make is

[tex]$=\frac{\frac{52}{3}}{\frac{13}{8}}$[/tex]

[tex]$=\frac{52}{3 }\times \frac{8}{13}$[/tex]

[tex]$=\frac{32}{3}$[/tex]

= 10 .667

Therefore, with Fedrick's recipe, he can make 10 numbers of loaves.

Answer:

1. 7/41

2. 7/15

Step-by-step explanation:

1. Probability that it is a multiple of 6 given that it is a 2 digit number: There are 7 numbers that are a multiple of 6 and are 2 digits: 12, 18, 24, 30, 36, 42, and 48. There are 41 numbers that are 2 digits. So, it is 7/41

2. Probability that it is at least 20 given that it is prime. Out of the prime numbers from 1-50, 7 of them are at least 20 and there are 15 primes in that range in total. So, it is 7/15

Answer:

<3 = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180

<1 + 40 + 90 = 180

<1 + 130 = 180

<1 = 50

<1 and <3 are vertical angles and vertical angles are equal

Answer:

thx 4 the points

Step-by-step explanation:

:)..........?.

Answer:

2 + 2 = fish

Have a great day :}

Answer:

The 45th term is equal to -209.

Step-by-step explanation:

I got stuck on this question for six attempts. Therefore I started trying other methods. I started with a10=1 and then subtracted 6 to get a11=-5. I continued this process until I reached a45=-209

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The 45th term for the arithmetic sequence is -209.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

Given that the 10th term of the arithmetic series is 1, while the common difference of the arithmetic series is -6. Therefore, 10th term of the series can also be written as,

aₙ = a₁+(n-1)d

1 = a₁+(10-1)(-6)

1 = a₁ + (9)(-6)

1 = a₁ - 54

a₁ = 55

Now, the 45th term for the arithmetic sequence is,

aₙ = a₁ + (n-1)d

a₄₅ = 55 + (45-1)(-6)

a₄₅ = 55 - 264

a₄₅ = -209

Hence, the 45th term for the arithmetic sequence is -209.

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48=y+5y

pretend that there is a 1 in front for the y

48=1y+5y

add the like terms first

1y+5y=6y

48=6y

divide both sides by 6 to get y by itself

48/6=6y/6

8=y

answer:

y=8

Answer:

y = 8

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

48 = y + 5y

Step 2: Solve for y

Step 3: Check

Plug in y into the original equation to verify it is a solution.

Here we see that 48 does indeed equal 48.

∴ y = 8 is a solution of the equation.

Answer:

slope (m)= 2/7

X1= 1

y1= 2

formula from equation of the line:

1. Y2 - Y1/ X2 - X1 ( if you know 2 point )

2. y - y1 = m × ( x - x1 ) (if you know the slope and 1 point )

3. mx + c = y ( if you know the slope and the y-axis )

because the known gradient and 1 point, then use the formula number 2.

let's get into the formula:

y - y1= m × (x -x1)

y - 2 = 2/7 × ( x - 1 )

y - 2 = 2/7x - 2/7

y= 2/7x - 2/7 + 2

y = 2/7x + 12/7

Answer:

2/12 :) or even 1/6 if you simplify

Step-by-step explanation:

Answer:

2/12

Step-by-step explanation:

1 dice = 1/6 × 2 because we have to die but this is different from normal multiplication you do the probability of finding 2 in both which is 1+1 over the total number which is 6+6. Therefore your answer would be 2/12

Options:

[tex]A.\ (\frac{3}{2}, \frac{9}{2})[/tex]

[tex]B.\ (-1, 1)[/tex]

[tex]C.\ (4, 16)[/tex]

[tex]D.\ (\frac{1}{2}, \frac{1}{4})[/tex]

Answer:

[tex]A.\ (\frac{3}{2}, \frac{9}{2})[/tex]

Step-by-step explanation:

Given

[tex]y = x^2[/tex]

Required

Determine which of the given points is not true

[tex]A.\ (\frac{3}{2}, \frac{9}{2})[/tex]

Here

[tex]x = \frac{3}{2}[/tex] and [tex]y = \frac{9}{2}[/tex]

Substitute these values in [tex]y = x^2[/tex]

[tex]\frac{9}{2} = (\frac{3}{2})^2[/tex]

[tex]\frac{9}{2} = \frac{3}{2}*\frac{3}{2}[/tex]

[tex]\frac{9}{2} \ne \frac{9}{4}[/tex]

Both sides of the equation are not equal. Hence, this point do not line on the curve

[tex]B.\ (-1, 1)[/tex]

Here

[tex]x = -1[/tex]  and [tex]y = 1[/tex]

Substitute these values in [tex]y = x^2[/tex]

[tex]1 = (-1)^2[/tex]

[tex]1=1[/tex]

Both sides of the equation are equal. Hence, this point line on the curve

[tex]C.\ (4, 16)[/tex]

Here

[tex]x = 4[/tex]  and [tex]y = 16[/tex]

Substitute these values in [tex]y = x^2[/tex]

[tex]16 = 4^2[/tex]

[tex]16 = 16[/tex]

Both sides of the equation are equal. Hence, this point line on the curve

[tex]D.\ (\frac{1}{2}, \frac{1}{4})[/tex]

Here

[tex]x = \frac{1}{2}[/tex]  and [tex]y = \frac{1}{4}[/tex]

Substitute these values in [tex]y = x^2[/tex]

[tex]\frac{1}{4} = (\frac{1}{2})^2[/tex]

[tex]\frac{1}{4} = \frac{1}{2}*\frac{1}{2}[/tex]

[tex]\frac{1}{4} = \frac{1}{4}[/tex]

Both sides of the equation are equal. Hence, this point line on the curve

From the calculations above; only [tex]A.\ (\frac{3}{2}, \frac{9}{2})[/tex] do no lie on the curve

Answer:

B (I think)

Step-by-step explanation:

$2.88 divided by 12 is 0.24