100 points only if correct

the table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:


x g(x)
0 $600
3 $720
6 $840


part a: find and interpret the slope of the function. (3 points)

part b: write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)

part c: write the equation of the line using function notation. (2 points)

part d: what is the balance in the bank account after 7 days? (2 points)

Answers

Answer 1

a) The slope of the function is $40/day, indicating that the balance in the bank account increases by $40 for each day that passes.

b) Point-slope form: g(x) - 600 = 40(x - 0). Slope-intercept form: g(x) = 40x + 600. Standard form: -40x + g(x) = -600.

c) Function notation: g(x) = 40x + 600.

d) The balance in the bank account after 7 days would be $920.

a) The slope of a linear function represents the rate of change. In this case, the slope of the function g(x) is $40/day. This means that for each day that passes (x increases by 1), the balance in the bank account (g(x)) increases by $40.

b) Point-slope form of a linear equation is given by the formula y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line. Using the point (0, 600) and the slope of 40, we get g(x) - 600 = 40(x - 0), which simplifies to g(x) - 600 = 40x.

Slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. By rearranging the point-slope form, we find g(x) = 40x + 600.

Standard form of a linear equation is Ax + By = C, where A, B, and C are constants. Rearranging the slope-intercept form, we get -40x + g(x) = -600.

c) The equation of the line using function notation is g(x) = 40x + 600.

d) To find the balance in the bank account after 7 days, we substitute x = 7 into the function g(x) = 40x + 600. Evaluating the equation, we find g(7) = 40 * 7 + 600 = 280 + 600 = $920. Therefore, the balance in the bank account after 7 days would be $920.

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Related Questions

Unrestrained growth of cells in a petri dish can be extremely rapid, with a single cell growing into a number of cells, N, given by the formula, N(t) = 8t, after t hours.

Enter the formula for the number of cells in the petri dish when a culture is started with 30 isolated cells.

The new formula is N(t) = .

How many cells do you expect after 3 hours?

You should expect ___
cells.

Answers

Answer:

New Formula is [tex] N(t) = 30t [/tex]

You should expect 90 cells

Step-by-step explanation:

✔️The new formula that would represent the number of cells when 30 isolated cells are used to start a culture would be:

[tex] N(t) = 30t [/tex]

✔️Number of cells, N(t), to expect after 3 hours, t:

Substitute t = 3 into [tex] N(t) = 30t [/tex]

Thus:

[tex] N(30) = 30*3 [/tex]

[tex] N(30) = 90 [/tex]

You should expect 90 cells

Mike bought shares in a new corporation that manufacturers cell phone
cases. He bought the stock years ago for $5,100. He recently sold the
stock for $6,100. What was Mike's profit (capital gain) on his stock?

Answers

Answer:

1000

Step-by-step explanation:

6100-5100=1000 which is the profit

4x - 2y = 24
y=-3x - 2


someone help me?

Answers

Step-by-step explanation:

I've used substitution method over here and got the value of X and Y

Hi how is your day going

last trigonometry question plz help me for 30 points

Answers

Answer:

46

Step-by-step explanation:

Segment WX = 23 by the 30 60 90 triangle theorem which states that the longer leg is sqrt3 times the length of the shorter leg.

Segment XY = 26 by the 30 60 90 triangle theorem that states the hypotenuse is twice the length of the shorter leg

Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week and he sold 204 erasers this week

Answers

Answer:

288

Step-by-step explanation:

it's pretty simple, if u do 96 * 3, it will be that. yw :)

Answer:

He made $324.

Step-by-step explanation:

96 x 3 = 288

204 x 3 = 612

So, then 612-288 = 324

Hope this helped!

2.8 -3x =12.1 −6x what's x

Answers

X= 3.1 is the answer
The answer is X=3.1!

46 e 64 sao cemtena e unidade ​

Answers

Answer:

nn

Step-by-step explanation:

pq centena são de 100 dezena são de 10

Ex: 46 (dezena e unidade)

146 (centena, dezena e unidade)

Solve - x/6 less than or equal to 3

Answers

Answer: x is greater than or equal to 18

Step-by-step explanation:

Answer:

x ≤ - 2

Step-by-step explanation:

- x/6 ≤ 3

- x/2 ≤ 1

- x ≤ 2

x ≤ - 2

Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?

c=-6
c=-1
c=5
c=7

Answers

Given:

A quadratic equation is

[tex]-6=x^2+4x-1[/tex]

To find:

The standard form of the given equation and find the value of c.

Solution:

The standard form of a quadratic equation is

[tex]ax^2+bx+c=0[/tex]               ...(i)

We have,

[tex]-6=x^2+4x-1[/tex]

It can be rewritten as

[tex]0=x^2+4x-1+6[/tex]

[tex]0=x^2+4x+5[/tex]

[tex]x^2+4x+5=0[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]c=5[/tex]

Therefore, the value of c is equal to 5 and the correct option is C.

Answer:

the answer is c

Step-by-step explanation:

4(x + 3) = 3(3x - 1)​

Answers

Answer:

Either 4x+12 ≠ 9x-3 OR x = 3

Hope this helps!! (Please mark Brainliest if possible!!)

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]4(x+3)=3(3x-1)[/tex]

Distribute 4 and 3 into the parentheses

[tex]4x+12=9x-3[/tex]

Combine like terms; subtract both sides by 12

[tex]4x+12-12=9x-3-12\\4x=9x-15[/tex]

Combine like terms; subtract both sides by 9x

[tex]4x-9x=9x-15-9x\\-5x=-15[/tex]

Divide both sides by -5 to isolate x

[tex]\frac{-5x}{-5} =\frac{-15}{-5} \\x=3[/tex]

I hope this helps!

She needs altogether 2 2/4. that is 2 wholes and 2/4 fraction. if we consider using 1/4 cup, 1 whole is made of four quarter cups. Therefore 2 wholes require eight quarter cups. Then theres a remaining fraction of 2/4 which is equivalent to two quarter cups. 1/4 + 1/4 = 2/4. Therefore altogether 8 + 2 = 10 of the 1/4 cups are required for the recipe. 10 of 1/4 cups are needed is this right? Yes or no

Answers

Answer:

Yes

Step-by-step explanation:

According to the analysis;

There are four 1/4 cups in one whole

There are eight 1/4 cups in two wholes

Then the fraction 2/4 = 1/4 + 1/4 Hence there are two 1/4 cups in 2/4.

Altogether we have the fraction 2 2/4 as 8 + 2 = 10 measures of 1/4 cups

To confirm, 10 * 1/4 = 2 2/4

Therefore, the analysis is correct.

Sami has 12 Balloons . 2/3 of them are Green and the rest is Red balloons. What's is the ratio of Green to Red balloons

Answers

8:4 or 2:1 simplified

I NEED MORE HELP PLSSS

Answers

The answer is the first one.

Does 18x-(9x+2)=4x have a solution?

Answers

Answer:

Yes

Step-by-step explanation:

9x - 4x = 2

5x = 2

x = 2/5

x = 0.4

Jaden is building a fence around his yard. He wants to know how much fencing he needs. His yard is shaped like a rectangle that is 96 feet long and
33 feet wide.
How many feet of fencing does Jaden need to buy? Enter the answer in the box.
feet

Answers

Answer:

258 ft

Step-by-step explanation:

area of the rectangle =96+33×2=258 ft

hope it helps you to

please mark me as brainlist

A stone falls from a train trestle. The stone's height in meters above the ground is modeled by the function h(t)=−4.9t2+155 where t is time in seconds. To the nearest tenth of a second, how long does it take the stone to hit the ground? State what strategy you will use to answer the question, and then find the answer.

Answers

Answer:

5.6s

Step-by-step explanation:

Given the height reached by the stone modeled by the equation

h(t)=−4.9t2+155 where t is time in seconds.

The stone hits the ground at h(t) = 0

Substitute

0 = -4.9t²+155

4.9t² = 155

t² = 155/4.9

t² = 31.63

t = ±√31.63

t = 5.62seconds

Hence it will take 5.6s to reach the ground(to the nearest tenth)

There are 4 identical wooden blocks that are 20 inches long, 2 inches wide, and 1 inch thick. If you glue them together, what is the difference of the largest and smallest outer surface area you can get?

Answers

You get up to 5 your welcome i know its true

How can you use equations to solve real-world problems? PLZ

Answers

Answer:

you can use equations to find out how much tip you should give

construction is a big one!

At her restaurant, Yolanda opened 34 cans of tomato sauce. She needs to use 4 cans of sauce for one pan of lasagna. How many pans of lasagna could Yolanda make if she uses all of the cans? Write the answer as a mixed number.

Answers

she could make 8 and a half pans of lasagna

Step-by-step explanation:

so divide 34 and 4 you will get 17 / 2 so to make it into a mixed number divide it by 8 and it will 16 so 1 will be remaining so it will be 8 1/2 hope it helps :D

Jill brought 2 1/3 boxes of carrot muffins for a bake sale. Mike brought 5 3/4. boxes of apple muffins. What is the total number of boxes of muffins Jill and Mike brought to the bake sale? Enter your answer as a fraction in simplest form.

Answers

Answer:

8 1/6

Step-by-step explanation:

2 1/3= 2 4/12

5 3/4= 5 9/12

add those, and you get 8 2/12, or 8 1/6

What is the value of X

Answers

Answer:

The Value of X in 2nd one can be 14√3.

The Value of X in 1st one can be 6√3.

Step-by-step explanation:

2.)here we used tan 60° formula with P/B as x/14 respectively.

as the value of tan 60° is √3, we got,

√3= x/14

x= 14√3.

1.) Here we used sin 30° formula with 1/√2 as P/H

so we got,

6/x= 1/√2

hence the answer comes:-

x= 6√2..

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Something and 14√3.

Steps

The person above me has calculated something.

The way to get 14√3 can be seen in the image above.

True or False:
The relation shown is a function.

20 POINTS!!

Answers

Answer:

True

Step-by-step explanation:

For a relation to be a function each value of x must pair up with one and only one value of

The relation shown is a function.

helppp!
(7&8)Question 7 (1 point)
Susie has a bag of marbles of equal size in a bag. There are 8 blue marbles, 2 yellow marbles, and 5 red marbles. If she closes her eyes and
pulls out a marble at random, what is the probability the marble will be blue?
The probability Susie will pull a blue marble is

__%
Blank 1:

Answers

7: is about 53.3 percent in fraction 8/15
8: is about 16.3 percent in fraction 4/24 or 1/6

Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

Answers

Answer:Suppose that the equations are:

The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.

N(T) = a0*r^(T)

Also, the number of people that leaves the park as the temperature increases are:

M(T) = a*T + b

So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:

N(T) - M(T) = total change in the park population as the temperature changes = C(T)

C(T) = a0*r^(T) - a*T - b

Step-by-step explanation:

Four square tiles, each of side 12 cm are used to make a bigger tile. Find the perimeter of the larger tile.

Answers

Answer:

192 cm

Step-by-step explanation:

Given that:

Side length of small tiles = 12cm

Number of small tilea used to make a bigger tile = 4

The perimeter of larger tile:

Perimeter of a square = 4s

Where, s = side length

Side length of larger tile :

4 * side length of smaller tile

4 * 12

= 48 cm

Hence,

Perimeter of a larger square tile = 4s

4 * 48cm

= 192 cm

Please help I really need it

Answers

Answer:

X = -2, Y = 13

X = 0, Y = 9

X = 2, Y = 5

X = 4, Y = 1

Step-by-step explanation:

Take the value given for X and plug it into the equation. For example, when X = -4, you will make your equation look as follows:

y = -2(-4) + 9

Simplify it:

y = 8 + 9

y = 17

Repeat this process with the rest of the X values to get your Y values.

The picture above tap and tell me yes or no in order thank you :)

Answers

Step-by-step explanation:

no,yes,no, d is probably yes I guess

Answer:

a. yes

b. no

c. yes

d. yes

have a nice day;)

Name all the quadrilaterals that have the given property.


two pairs of parallel sides and all angles congruent


a

rectangle, square

b

trapezoid

c

rhombus, square

d

rhombus

Answers

Answer:

A) rectangle and square

Step-by-step explanation:

Answer:

A) rectangle and square

Step-by-step explanation:

 

 Hope it work

Brainliest plz

Which is the equation of a line that has a slope of 1 and passes through point (5, 3)?
O y=x-2
y = x + 2
O y = x + 3
O y=x-5
Save and Exit

Answers

Answer:

y=x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-3=1(x-5)

y-3=x-5

y=x-5+3

y=x-2

If triangle DEF and triangle MNO are two triangles such that DE = MN and EF = No, which of the following would be sufficient to prove the triangles are congruent?

A DE/MN = EF/NO
B DE=DF
C angle D = angle m
D angle E = angle N

Answers

Answer:

The answer is D

angle E=angle N

As N and E are the corresponding angles between those equal sides D. angle E = angle N is sufficient to prove that the triangles are congruent.

What is congruency?

Congruency is geometry that states similarities between two or more figures generally with their respective sides and angles.

We know we can prove that two triangles are congruent by sides and angles.

Given that DEF and MNO are two triangles and side DE = MN and side EF = NO, in which angles N and E lie between those two sides and therefore we can apply SAS( side angle side) congruency to prove that they are congruent.

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