Determine whether each equation represents a linear or nonlinear function.
Drag each equation into the appropriate box.
Linear Function Nonlinear Function
y = {x-6
y = (x - 5)2
y = 2* +8
y = 3(x + 7)
y = 4x3 - 1

Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is $396.

When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.

The amortized amount contains:

In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.

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Answer:

option d

Step-by-step explanation:

7:3 is the same as 28:12 which means that m is 28

Answer:

S = { H,T }

Step-by-step explanation:

Sample space is these two outcomes

When 70 goes in, 36 comes out.

The pattern for this is x/2 + 1.

8/2 = 4, 4+1 = 5

24/2 = 12, 12+1 = 13

70/2 = 35, 35+1 = 36

Answer: s= -8

Step-by-step explanation:

The gradient of the ski slope can ge used as the slope (literally) of a line equation:

y = mx + b,

where m is the slope and b the y-intercept (the value of y when x = 0).

The first slope would be y = -(1/3)x + b.

The slope is (-1/3) since the ski run is headed downhill.  The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").

y' = -(1/3)x' + b

We may assume that b is the same for both slopes - they start and end at the same point.

We can find b by using the given point (2,-3):

y' = -(1/3)x' + b

-3 = -(1/3)(2) + b

-3 = -(2/3) + b   [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]

-7/3 = b

b = -(7/3)

The second ski slope, y', thus has the equation

y' = (1/3)x' -(7/3)

We want the value of s in (s, -5).

y' = (1/3)x' -(7/3)

-5 = (1/3)s -(7/3)

(1/3)s = -5 +(7/3)    [-15/3 + 7/3 = -8/3]

(1/3)s = -(8/3)    [Multiply both dies by 3]

s = -(24/3)  

s = -8

Answer:

x=5

f(x)= -5x-2

f(5)= -5(5)-2

f(5)= -25-2

f(5) = -27

Answer:

See below:

Step-by-step explanation:

So we know that [tex]f(x)=-5x-2[/tex] therefore to find out what [tex]f(5)[/tex] is we can insert/replace [tex]x[/tex] with 5 due to it being a function, after we do that, we get this:

[tex]f(5)=-5(5)-2[/tex]

Using algebra, we an find out that [tex]f(5)=-27[/tex]

Cheers!

Answer:

Perpendicular line: y = ⅕x + 0 or y = ⅕x

Step-by-step explanation:

Given the point, (10, 2), and the linear equation, y = -5x + 7:

In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.

Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.

                    m₁ × m₂  = -1

                     -5 ×  ⅕  = -1

Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :

y = mx + b

2 = ⅕(10) + b

2 = 2 + b

Subtract 2 from both sides:

2 -2 = 2 -2 + b

0 = b

Hence, the y-intercept is b = 0.

The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or   y = ⅕x

Answer:

4 times

Step-by-step explanation:

there is 16 cups of water in a gallon

16/4=4

Answer:

x = 16

Step-by-step explanation:

46° and (3x - 2)° are alternate angles and are congruent , so

3x - 2 = 46 ( add 2 to both sides )

3x = 48 ( divide both sides by 3 )

x = 16

Answer:

x= -5

Step-by-step explanation:

f(x)= -5x +10

35= -5x +10

35-10 =-5x

25/-5 =x

x= -5

Answer:

Observation

Step-by-step explanation:

He walked around seeing if every fifth person bought lunch

Survey - Requires asking questions

Simulation - Needs prior data to make an estimation

Experiment - Testing something

Observation - Just observing and watching

Study - Looking up data

The method he used to collect his data is observational method.

Observational study is usually chosen when the researches the system is likely to produce different result if interfered.

Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.

Controlled experiment is done manually, specifically to deduce conclusions. Its steps are fixed.

Random experiment is done specifically to deduce conclusions, but it is done in a random manner.

We are given that;

He saw every fifth person in cafeteria

Now,

An observational study is a method of collecting data by observing and recording the behavior or characteristics of individuals or groups without interfering or manipulating any variables. Nico did not ask any questions or change any conditions, he just observed whether every fifth person in the cafeteria bought lunch or brought their own.

Therefore, by sampling the answer will be observational method.

Learn more about sampling here:

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Answer:

55 degrees

Step-by-step explanation:

Add the expressions up and set up an equation.

( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.

3 x − 6 = 90 3 x = 96 x = 32 Find angle B.

x + 23 = 32 + 23 = 55

Hope this helps, have a nice day/night! :D

Answer:

m∠B = 61°

Step-by-step explanation:

Complementary means two angles that add up to the sum of 90°.

Since we are given m∠A = 29°, subtract 29° from 90°.

90 - 29 = 61

m∠B = 61°

Answer:

answer is <

Step-by-step explanation:

first equation is equal to 6 and the other is equal to 7

Answer:

the answer is Equal to zero

Step-by-step explanation:

hope it's help correct me if I'm wrong <3

Answer:

≥0

Step-by-step explanation:

This one may seem tricky. The denominator is ALWAYS one more than the numerator. So, let's take a look at some examples.

-2/-1

This is >0. And even if you keep going to a number as high as -10000/-9999, it will ALWAYS be >0.

0/1

Hmm...this one is equal to 0. Seems like we have ≥0 right now.

2/3

>0, right? Well, since we have expression ≥0, that's your answer!

Hope it helps!

Answer:

angle 1 = 45° because vertical angles

angle 2 = 135° because supplementary angles

Step-by-step explanation:

∠1 = ∠a, ∠a = 45°

∠2 + ∠a (45°) = 180°

180° - 45° = 135°

Answer:

Angle 1= 45 degrees, angel 2= 135

Step-by-step explanation:

you know that line b has a 45 degree angle on a 180 total, so to find angle 1 you just move the 45 as they are the same, to find angle b you substract 45 from 180 getting 135

Answer:

I hope this helps.

Answer:

c.

took the test

Step-by-step explanation:

Subtraction is a mathematical operation that reflects the removal of things from a collection. The least possible height of the mont blanc is 4800 meters.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the height of mont blanc is 4810 m correct to the nearest 10 meters. Therefore, the least possible height of the mont blanc can be written as,

Least height = 4810m - 10m = 4,800 meters

Hence, the least possible height of the mont blanc is 4800 meters.

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Answer:  52 boys

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

Explanation:

g = number of girls

g+26 = number of boys because there are 26 more compared to girls

The ratio of boys to girls is 2:1, meaning g+26 is twice as large compared to g

number of boys = 2*(number of girls)

g+26 = 2g

26 = 2g-g

26 = g

g = 26

There are 26 girls and g+26 = 26+26 = 52 boys. Note how 52 is double that of 26.

Answer:

50°

Hope you could understand.

If you have any query, feel free to ask.

I believe the answer would be... x= 130/17  for  34(x-8)=-12

I am really sorry, but I am not sure how to answer the rest

Hoped I helped with the first part of it!

Have a great day/night!

Answer:

The answer is 22/3

Step-by-step explanation: I got it right

Answer:

hey, can you tell the question again? I've a prob in x, is it a variable or multiplication sign? just lmk this, I think I'm able to do it

Answer:

x=-5;-3;2

Step-by-step explanation:

all the details are in the attached picture (the answers are marked with red colour).

1) to determine the possible roots;

2) to check the possible roots, then to stop when the first one is found (it is 2);

3) to perform division of polynoms, then to re-write the given equation in comfortable form;

4) to calculate other roots.

Note, the suggested solution is not the shortest way and not the only one.

P.S. make the design according local requirements.

Answer:

Step-by-step explanation:

last answer

Answer:

What grade are you my brother is good at this stuff

Step-by-step explanation:

TO find the vertex, you need to find the x− and y− coordinates.

The formula for the axis of symmetry and the x-coordinate of the vertex is:

x = -b over 2a

To find the y-coordinate the vertex, substitute the value for x into the equation and solve for y

y=a(-b over 2a) squared + b(-b over 2a) + c

Answer:

b

Step-by-step explanation: i’m that guy

Answer:

C

Step-by-step explanation:

The domain of a function is a set of values that make the function real and defined. No matter what number you substitute as x, the result is always real. Hence, the domain would be from negative infinity to positive infinity.

Answer: I think it’s D

Step-by-step explanation:

Answer:

25 and 100 I think

Step-by-step explanation:

because the line is between the 20 and the 30 so it its 25

Answer:

Step-by-step explanation: