Write the linear equation that gives the rule for this table.
x f(x)
1 –47
2 –45
3 –43
4 –41

Answers

Answer 1

Answer:

The linear equation that gives the rule of the table is f(x) = x + 25

The linear equation can be represented in a slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

Using the table let get 2 points

(2, 27)(3, 28)

let find the slope

m = 28 - 27 / 3 -2 = 1

let's find b using (2, 27)

27 = 2 + b

b = 25

Therefore,

y = x + 25

f(x) = x + 25

Step-by-step explanation:


Related Questions

Alexis baked 87 dozen brownies. How many brownies does she have

Answers

Answer:

1,044

Step-by-step explanation:

Answer:

Step-by-step explanation:

1044

Help me plz I really need help

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Answer:

it won't let me message back.

Step-by-step explanation:

Find the surface area of this cubiod

Answers

Answer:

surface area is 2(lb + bh + lh)

I think this is the right formula

Answer:

Total surface  area = 62 cm^2.

Step-by-step explanation:

There are 2 faces each of area 2 * 3 = 6, = 12 cm^2.

There are 2 faces each of area 10, = 20 cm^2.

There are 2 faces each of area 15, = 30 cm^2.

12 + 20 + 30 = 62 cm^2.

PLEASE HURRY WILL GIVE BRANLESIT
Function 1 is represented by the equation y = 6x + 25

Function 2 is represented by the table.

x y
5 31
10 41
15 51
20 61


Which statement about the two functions is true?
The rate of change for Function 2 is 5 times the rate of change for Function 1.

The rate of change for Function 2 is three times the rate of change for Function 1.

The rate of change for Function 2 is one third the rate of change for Function 1.

The rate of change for Function 2 is the same as the rate of change for Function 1.

Answers

Answer:

The rate of change for Function 2 is one third the rate of change for Function 1.

Please mark brainliest if possible :)

Answer to what is CA

Answers

well, let's recall that A, B and C are medians of their segment, meaning each of those lines made by them are midsegments, Check the picture below.

[tex]CA = \cfrac{SR}{2}\implies 2CA=SR\implies 2(3x-1)=5x+4 \implies 6x-2=5x+4 \\\\\\ x-2=4\implies x =6~\hfill \stackrel{~\hfill CA}{3(6)-1\implies 17}[/tex]

Evaluate. (2a−1/3)÷b/15 when a=−4/5 and b=−2.25 Enter your answer as a simplified mixed number in the box.

Answers

[tex](2a - ⅓) \div \frac{b}{15} \\ (2 \times - \frac{4}{5} ) \div \frac{ - 2.25}{15} \\ - \frac{8}{5} \times \frac{15}{ - 2.25} \\ = \frac{ - 8}{ - 6.75} = \frac{8}{6.75} [/tex]

Hi everyone, I'm having trouble with this question and I'm not sure how to do it/where to start. Does anyone have a solution to it? It will help me with my future problems on this topic!

Answers

This is quite an interesting problem. I am not sure how high you are in math, but I am going to use calculus I techniques to solve it. First, we need to model an equation. Let P be the total profit and x be every time you increase the cost by $10. If you think about it hard enough you come up with the equation

[tex]P(x)=(200-5x)(250+10x)[/tex]

(200-5x) is the amount of plots you will be able to sell, and (250+10x) is the amount you charge for. So, at x =0

[tex]P(0)=(200-5(0))(250+10(0))=(200)(250)=$50,000[/tex]

This is the initial condition where if we sell 200 plots at $250/plot.

So, this equation makes sense.

Now, let's maximize using the first derivative of the function.

Let's get it into an easily differentiable form.

[tex]P(x)=(200-5x)(250+10x)=-50x^2+2000x-1250x+50000\\=-50x^2+750x+50000[/tex]

From here, differentiate the problem.

[tex]P'(x)=-100x+750[/tex]

Now, set it equal to zero and solve for x.

[tex]P'(x)=-100x+750=0\\x=7.5[/tex]

This a critical point of the function. Let's plug back into the original equation to see what it gives us.

[tex]P(7.5)=(200-5(7.5))(250+10(7.5))=(162.5)(325)=52,812.50[/tex]

You cant sell half a plot, so we need to see what happens if we sell 162 plots and 163 plots, and then compare which one gives us more money.

In order to sell 162 plots

[tex]200-5x=162\\x=7.6[/tex]Plug back into P(x) to see the profit

[tex]P(7.6)=(200-5(7.6))(250+10(7.6))=(162)(326)=52,812[/tex]

Now, do the same for 163 plots

[tex]200-5x=163\\x=7.4\\P(7.4)=(200-5(7.4))(250+10(7.4))=(163)(324)=52,812[/tex]

As we can see, they are the same. So, you can charge either $324 or $326 in rent. But, if your teacher is not looking for a logical answer and you can somehow sell half a plot, you can charge $325 in rent for the maximum profit.

math models help PLEASE!

(20x5+10)-(8x8-4)



a . 58

b. 50

c. 40

Answers

Answer:

Answer is C, 40

Step-by-step explanation:

(100)-(60)

Central/Inscribed angles pls help with work <3

Answers

Answer:

Step-by-step explanation:

Arc angle KLM will be twice ∠KSM = 210°

Arc angle ML will be 210 - 130 = 80°

Arc angle LMS will be twice ∠LKS = 160°

Arc angle SM will be Arc angle LMS - ML = 160 - 80 = 80°

One number is six less than a second number. Twice the first is 12 more than 6 times the second. Find the numbers.
The value of the first number is
The value of the second number is

Answers

Answer:

Step-by-step explanation:

Let x be the first number

Let y be the second number

x = y - 6

2x = 12 + 6y

2(y - 6) = 12 + 6y

2y - 12 = 12 + 6y

-4y = 24

y = -6

x = -6 - 6 = -12

If x^4 - y^4 = 24, and x^2 - y^2 = 8, what is the value of x^2 + y^2 ?

Show work

Answers

Answer:

Step-by-step explanation:

U

Answer:

3

Step-by-step explanation:

[tex]x^4-y^4=(x^2)^2-(y^2)^2=(x^2-y^2)(x^2+y^2)\\24=8(x^2+y^2)\\x^2+y^2=\frac{24}{8}\\x^2+y^2=3[/tex]

3^9 times 3^7 in exponential form

Answers

Answer:

3¹⁶

Step-by-step explanation:

While adding numbers with exponents, if the base of the numbers is same, then it will also be the same in the final answer and the exponents add

Hope this helps!

Answer:

You can just add the exponents power

9+7=16

So its 3^16 in exponential form

You can think of it like this.

for 3^9 its

3*3*3*3*3*3*3*3*3

And for 3^7 its

3*3*3*3*3*3*3

Now your multiplying them all together.

Really your jsut adding the value so in the end

3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*3

So its

3^16

Tamara bought a $22 mailbox using a 10% off coupon David bought an identical mailbox for $19.95 at a different store
Which statement is true?

Answers

Answer:David bought an identical mailbox for $ 19.95 at a different store.

Step-by-step explanation:

David bought an identical mailbox for $ 19.95 at a different store. you can buy a same mailbox but for different prices you have 22 dollars you have a 110 percent off you dont have enough

-2x + 8 > 22
im a little stuck help

Answers

Answer:

Step-by-step explanation: am sorry but I don’t know nothing

can i have some help pls

Answers

Answer:

the first recipe

Step-by-step explanation:

We can answer by finding the ratio of nuts to cereal. The one that has the higher ratio of nuts to cereal is the nuttier one.

Recipe 1: 2 1/2 cups of nut per 5 cups of cereal.

nuts to cereal ratio = 2 1/2 : 5 = 1 : 2

Recipe 2: 1 cups of nuts per 3 cups of cereal.

nuts to cereal ratio = 1 : 3

1 : 2 is a higher ratio than 1 : 3

Answer: the first recipe

What does x= in the equation, 7(x-5=x+13

Answers

Answer:

X equals 8.

Step-by-step explanation:

Firstly, you remove the parentheses

Secondly, you move the terms

Then you collect like terms and add the numbers

Lastly, you divide both sides which gives you 6 x = 48,

so your answer is 8.

Hope this helped.

Answer:

x = 8

Step-by-step explanation:

Calculating purely on the assumption the question is equal to 7(x - 5) = x + 13

7(x - 5) = x + 13

7x - 35 = x + 13 ⇒ expand brackets

7x - 35 + 35 = x + 13 + 35 ⇒ add 35 to both sides

7x = x + 48

7x - x = x + 48 - x ⇒ subtract x from both sides

6x = 48

[tex]\frac{6x}{6} = \frac{48}{6}[/tex] ⇒ divide both sides by 6

x = 8

Hope this helps!

Which sentence uses correct subject-verb agreement?


A. The river through our cities are polluted

B. Mountains in Colorado is beautiful.

C.The book about South American rivers is overdue.

D. The trees around our state is blooming.

Answers

C, is the correct answer.

Answer: C

Step-by-step explanation: the guy up top is correct:)

. An insurance company predicts that about an 80% chance that a person aged 20 will be alive at age 65 in a certain population. Suppose that 64 people aged 20 are selected at random. What is the probability that at least 48 of them will still be alive at age 65

Answers

Step-by-step explanation:

the probabilty for exactly 48 people surviving is

(64 over 48) × 0.8⁴⁸ × 0.2¹⁶

the possible combinations of 48 people out of 64 associated with the probability of 48 survivors and 16 deaths.

"at least" is then sum of the probabilities of exactly 48, 49, 50, 51, ... 64 people surviving.

that is a longer calculation of these 17 possibilities.

they go

(64 over 48) × 0.8⁴⁸ × 0.2¹⁶ = 0.0714...

(64 over 49) × 0.8⁴⁹ × 0.2¹⁵ = 0.0933...

(64 over 50) × 0.8⁵⁰ × 0.2¹⁴ = 0.1119...

...

(64 over 63) × 0.8⁶³ × 0.2¹ = 0.00001004...

(64 over 64) × 0.8⁶⁴ × 0.2⁰ = 0.0000006277...

the sum is the probabilty (that at least 48 out of the 64 are alive at 64) of 0.8746...

the maximum single probability (for an exact number of survivors) is as expected at exactly 51 and exactly 52 survivors with a probability of 0.1229... for each case.

of course, this is around the expectation value of

64×0.8 = 51.2 (out of the 64 it is expected that per average 51.2 people survive and reach age 64).

help me please someone

Answers

Answers:Part A) Solution is (-3,-3)Part B) Two solutions are (0,0) and (2,2)Part C) Solution is x = -6

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

Explanation:

Part A

Ignore the g(x) curve. We're looking for the intersection of the p(x) and f(x) curves. The two cross at (-3,-3) which is the solution to the system of these two equations. This point is on both p(x) and f(x) simultaneously. That means the coordinates of the point satisfy both p(x) and f(x) equations simultaneously.

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

Part B

Pick any two points you want from the f(x) curve. You could pick the solution we mentioned, but I'll go for (0,0) and (2,2). When talking about a single curve, it has infinitely many solutions (as long as you pick a point on the curve).

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

Part C

Ignore the f(x) curve. The graphs of p(x) and g(x) intersect when x = -6, which is the solution to the equation p(x) = g(x). We're only concerned about the x coordinate of the intersection.

plz help on a timed test will pay 10 points and make brainlest

What other countries have set up early earthquake warning systems? Which of these countries are in the Ring of Fire? Why is it important for these Ring of Fire countries to have warning systems?

Answers

Answer:

Mexico, Japan, South Korea, Taiwan, and the United States, Chile, Japan, the US west coast;  Chile, Japan, the US west coast; So all that is left for the people who live around the Ring of Fire is to be aware of the danger, perhaps to live further inland, build safer, earthquake-resistant housing, and for nations everywhere to improve oceanic and land-based early-warning systems to help minimize the risk to life

Step-by-step explanation:

Solve T in the following formula P=nRT/V

Answers

Answer:

T = PV/nR

..............................................

evaluate the expression when a=4 and b=-3.

-a+7b​

Answers

Answer:

-4+7x-3=-21+-4=-25

Step-by-step explanation:

The value for -a+7b will be -25

What is 2 3/8 - 1 5/8 =

Answers

2 3/8 - 1 5/8

19/8 - 13/8

6/8

3/4

The answer is 3/4

Sub 2 Raging Sushi plz

Answer:

3/4

Step-by-step explanation:

Evaluate 10.5s + 9.9t when s=3 and t = 4

Answers

Answer:

71.1

Step-by-step explanation:

Answer:

71.1 is the answer

Step-by-step explanation:

help me please the drop down menu is the same for top and bottom i’m lost:(

Answers

I think…

0=2 : no solutions
2=2 : infinite solutions

Answer:

1) No solution

2) Infinitely many solutions

Step-by-step explanation:

1) No solution

0=2 is false.

2) Infinitely many solutions

2=2 is true because both sides are equal, hence, it is an infinite solution.

Hope this helps :)

HELPPP LAST ATTEMPT!!

Answers

Answer:

Here’s something I wrote that can help you. I don’t really wanna do transformations but this should help you get the answer in a snap.

ONLY FOR REFLECTIONS

Over the x-axis:  (x, y) — > (x, –y)

Over the y-axis:  (x, y) — > (–x, y)

Over the line y = x:  (x, y) — > (y, x)

Through the origin:  (x, y) — > (–x, –y)

So for example E is (6,-1)

Over the y axis so following the coordinate plane rules, (6,-1) — > (-6, -1)

(-6, -1) over x axis which is following the rules

(-6, -1) — > (-6, 1)

Final answer (-6,1)

Answer:

(-6, 1)

Step-by-step explanation:

If you reflect over y-axis and x-axis it is just the opposite of each number.

Please help me, thanks

Answers

Answer:

I dont know

Step-by-step explanation:

Can you type in the question please and ty

Helpppppppppppppppppppppppp

Answers

i’d say 21 and -1 :)
21 * -1 = -21
21 - 1 = 20

[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]

Calculate the probability P(E).
The Heavy Weather Service predicts that for tomorrow there is a 50% chance of tornadoes, a 25% chance of a monsoon, and a 15% chance of both. What is the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon?

Answers

The probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon is 0.85

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total putcome

If there is a 15% chance that tornadoes and monsoon will occur, hence the

the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon will be expressed as:

Pr(neither tornadoes nor a monsoon) = 1 - Pr(both will occur)

Pr(neither tornadoes nor a monsoon) = 1 - 0.15

Pr(neither tornadoes nor a monsoon) = 0.85 =  85%

Hence the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon is 0.85

Learn more on probability here: https://brainly.com/question/13604758

In the 01 July 2016, Samsung Ltd acquired the machine A by $1,502,000. Estimated useful life is 10 years, estimated residual value is $2,000. Company uses straight-line method for depreciation. From 2019, Samsung Ltd measure the machine A by the revaluation model. At 30 June 2019, machine A was revalued to $ 1,400,000. After one year, at 30 June 2020, machine A was revalued to $1,000,000. At 30 June 2021, machine A was revalued to $1,500,000. Required: Prepare the journal entries from 01 July 2016 to 30 June 2021. (using both method for revaluation)

Answers

a) Samsung Ltd will record these Journal Entries from July 2016 to June 30, 2021, using the straight-line and revaluation methods of depreciation:

July 1, 2016 Debit Equipment $1,502,000

Credit Cash $1,502,000

To record the purchase of the machine A.

June 30, 2017 Debit Depreciation Expense $150,000

Credit Accumulated Depreciation $150,000

To record the depreciation expense for the first year.

June 30, 2018 Debit Depreciation Expense $150,000

Credit Accumulated Depreciation $150,000

To record the depreciation expense for the second year.

June 30, 2019 Debit Accumulated Depreciation $300,000

Credit Revaluation Reserve $300,000

To close the accumulated depreciation to Revaluation Reserve.

June 30, 2019 Debit Revaluation Reserve $198,000

Credit Revaluation Surplus $198,000

To record the Revaluation Surplus.

June 30, 2020 Debit Revaluation Expense $400,000

Credit Revaluation Reserve $400,000

To record the revaluation loss.

June 30, 2021 Debit Revaluation Reserve $500,000

Credit Revaluation Surplus $500,000

To record the revaluation surplus.

Data and Calculations:

Cost of machine on July 1, 2016 = $1,502,000

Estimated Residual Value = $2,000

Depreciable amount = $1,500,000

Estimated useful life = 10 years

Based on the straight-line method the depreciation expense for each year = $150,000 ($1,500,000/10).

Value of Machine at:

June 30, 2019 - $1,400,000

June 30, 2020 = $1,000,000

June 30, 2021 = $1,500,000

Learn more: https://brainly.com/question/19908089

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