Function f is defined by f(x)=3/2x+c. If f(6)=1, what is the value of f(c)?

Please don't just give me an answer, explain it so I understand. Thanks.

Answers

Answer 1

Answer:

C = - 8

Step-by-step explanation:

[tex]f(x) = \frac{3}{2} x + c \\ \\ plug \: x = 6 \\ \\ f(6) = \frac{3}{2} \times 6 + c \\ \\ f(6) = 3 \times 3 + c \\ \\ f(6) = 9+ c \\ \\ \therefore \: 1 = 9 + c \: \{ \because \: f(6) = 1 \} \\ \\ 1 - 9 = c \\ \\ \huge \red{ \boxed{ c = - 8}}\\\\

f(c) =\frac{3}{2} c +(-8)\\\\

\huge \orange { \boxed{ f(c) =\frac{3}{2} c -8}} \\\\ [/tex]


Related Questions

(6x2 + 7x + 1) + (x2 + 5x + 6)

Answers

Step-by-step explanation:

combine the like terms

(6x^2 + x^2) + (7x + 5x) + (1 + 6)

7x^2 + 12x + 7

Mount Everest is the highest mountain on Earth, measuring 8848 meters high. It takes 40 days to climb Mount Everest. Suppose that a climber climbed the same number of meters each day. About how many meters would he climb each day (rounded to the nearest 10)?

Answers

Answer:

3/5

Step-by-step explanation:

(I'm just doing this for the badge)

Answer:

221

Step-by-step explanation:

8848 / 40 = 221.2 round down and get 221

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

PLEASE HELP!!!!
Robyn bought a laptop for $1,500. It will depreciate, or decrease in value, by 15%
each year that she owns it.

a. A student writes an explicit formula to represent the value of the computer after n years below. What is the student's error? Explain. (2 points)

Answers

Answer:

an= $,500 (x5) n-1

Step-by-step explanation:

The error is the n-1 because this means a number subtracted by 1 there for it would be 1.500 subtracted by 1 but this info is not needed.

solve the system of linear equations -x+4y=-8 -1/4x+y=-1​

Answers

Answer:

(- 2, - 6)

Step-by-step explanation:

Given system:

x + 4y = -8 -1/4x + y = -1​

1. Multiply the second equation by - 4 to get:

(- 4)(-1/4x + y ) = (- 4)(- 1)x - 4y = 4

2. Now, add this up with the first equation:

x + 4y + x - 4y = - 8 + 42x = - 4x = - 2

3. Find the value of y:

- 2 + y = - 8y = - 8 + 2y = - 6

The solution is (- 2, - 6)

WHY WILL NO ONE AWNSER ME yall are ufing stu Given that a quadratic function has an a -value of 5 and a vertex of (−7,1), what would be the equation of the function in vertex form.

Answers

Because you spelled answer wrong.

Lebron scored 42 points in a game which was 40% of the points his entire team scored. How many points did Lebrons team score?

Answers

Answer:

105

Step-by-step explanation:

The point entire team scored is 100%

The point Lebron scored is 40% and that is equal to 42

if 40% is equal to 42 then to find the whole we use the following equation:

42*100/40 = 105 is the total point the team got

Which statement best describes the expression 2y ÷ 7? (1 point)

2 times y divided by 7
7 divided by 2 times y
7 times y divided by 2
2 divided by 7 times y

Answers

Answer:

I think that it's the first one 2 times y divided by 7

two students are reading a novel. ashley reads 3 chapters per day. carly reads 2 chapters per day, but she starts early and is already on chapter 2 write a system of equations to represent the situation, using d for days and c for chapters.

Answers

The equation that represent this situation is 5d + 1 = c

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let d represent the number of days and c represent the number of chapters. Hence:

3d + 2d + 1 = c

5d + 1 = c

The equation that represent this situation is 5d + 1 = c

Find out more on equation at: https://brainly.com/question/2972832

devide (d^3−3d^2−8)÷(d+6).

Answers

Answer:

[tex]D^{2}[/tex]-9d+54-[tex]\frac{332}{d+6}[/tex]

Step-by-step explanation:

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

-5x² + 2x + 3

Step-by-step explanation:

Since its a trinomial, it has three terms.

Since it has a degree 2, the highest degree is 2 and will usually be the first term.

The coefficient of the first term must have a -5.

Standard form is like  ax² + bx + c

Where a,b, and c are variables.

So,  -5x² + 2x + 3 should work

We know the standard form

ax^2+bx+c=0

Now

a=-5

So the expression is given by

-5x^2+3x+8=0

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

So we know

[tex]\\ \rm\rightarrowtail y=ab^x[/tex]

Put what's given

[tex]\\ \rm\rightarrowtail -3=ab^0[/tex]

[tex]\\ \rm\rightarrowtail -3=a[/tex]

Now put back

[tex]\\ \rm\rightarrowtail y=-3b^x[/tex]

Range of all y values less than 0

turn b to Euler's number thenAs we know that e^x has range (0,oo) when multiplied with any negative number i.e here -3 it yields y less than 0

[tex]\\ \rm\rightarrowtail y=-3e^x[/tex]

Graph attached

Answer:

General form of an exponential function:  [tex]y=ab^x[/tex]

where:

[tex]a[/tex] is the y-intercept (or initial value)[tex]b[/tex]  is the base (or growth factor)[tex]x[/tex]  is the independent variable

If [tex]b > 1[/tex]  then it is an increasing function

If [tex]0 < b < 1[/tex] then it is a decreasing function

Also [tex]b\neq 1[/tex]

Given:

y-intercept = (0, -3)

[tex]\implies y=(-3)b^x[/tex]

If we want the function to be decreasing, then as [tex]a[/tex] is negative, we need [tex]b > 1[/tex] to make the overall function decreasing.  

Let [tex]b=2[/tex] :

[tex]\implies y=(-3)2^x[/tex]

If we want the function to be increasing, then as [tex]a[/tex] is negative, we need [tex]0 < b < 1[/tex] to make the overall function increasing.

Let [tex]b=\dfrac12[/tex] :

[tex]\implies y=-3\left(\dfrac12\right)^x[/tex]

However, it doesn't matter whether the function is increasing or decreasing as the range of both of the above given functions is < 0 as [tex]a[/tex] is negative and [tex]b[/tex] is positive.

The inverse of a conditional statement is "If a number is negative, then it has a negative cube root."
What is the contrapositive of the original conditional statement?
If a number is negative, then it does not have a negative cube root.
O If a number does not have a negative cube root, then the number is not negative.
O If a number has a negative cube root, then the number is negative.
O If a number is not negative, then it does not have a negative cube root.

Answers

Answer:

C. If a number has a negative cube root, then the number is negative.  

Step-by-step explanation:

took the quiz

The inverse of the conditional statement is " If a number does not have a negative cube root, then the number is not negative. "

What is a conditional statement?

A conditional statement is a type of logical statement that expresses a relationship between two propositions or statements. It typically takes the form "if p, then q" where p and q are propositions. The statement "if p, then q" is read as "if p is true, then q is true" or "p implies q".

The truth value of a conditional statement depends on the truth values of its antecedent (p) and its consequent (q). If p is true and q is true, then the conditional statement is true. If p is true and q is false, then the conditional statement is false. If p is false, then the truth value of the conditional statement is irrelevant and it is said to be vacuously true.

Given data ,

Let the statement be represented as A

Now , the inverse of the statement is A'

where A = "If a number is negative, then it has a negative cube root."

Now , the inverse of the conditional statement is

A' = " If a number does not have a negative cube root, then the number is not negative. "

Hence , the inverse is " If a number does not have a negative cube root, then the number is not negative. "

To learn more about conditional statements click :

https://brainly.com/question/18152035

#SPJ7

First Brainliest answer​

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]\sf \dfrac{2a+1}{6}[/tex]

explanation:

[tex]\hookrightarrow \sf \dfrac{2a-2}{4} -\dfrac{a-4}{6}[/tex]

make the denominator same

[tex]\hookrightarrow \sf \dfrac{3(2a-2)}{12} -\dfrac{2(a-4)}{12}[/tex]

join both fractions together

[tex]\hookrightarrow \sf \dfrac{3(2a-2-2(a-4))}{12}[/tex]

expand the integers

[tex]\hookrightarrow \sf \dfrac{6a-6-2a+8}{12}[/tex]

simplify

[tex]\hookrightarrow \sf \dfrac{4a+2}{12}[/tex]

Final answer

[tex]\hookrightarrow \sf \dfrac{2a+1}{6}[/tex]

Angle r° = 2w°. What is the measure of angle r°? please helppp

120°
240°
286°
143°

Answers

Answer:

so involved triangles we know that one angle is 90° because of the right angle sign and you know that two x two interior angles add up to 180 angle so 90 degrees we will name the unknown angle x + x is equals to 127 degrees x is equals to 37 degrees so we have two angles are both of the triangles that is 90 degrees and 37 degrees 37 degrees is on the upper part of the triangle so it'll be 37° + 37° to get 74 degrees and the angle that you're looking for is a reflex angle so it'll be 360 degrees - 74 degrees so they think the answer is 286 degrees

How to solve 7 + 13n - 1 > 5 ( 2n + 2 ) + 8 by two step inequality

Answers

Answer:

n>4

Step-by-step explanation:

1. Let's first simplify each sides.

7 + 13n − 1 > 5(2n+2) + 8

a. 7 - 1

Distribute the 5.

b. 5 x 2n = 10n

   5 x 2 = 10

c. 10n + 10 + 8 = 10n + 18

13n + 6 > 10n + 18

2. Now, eliminate 10n on both sides, as there can't be 2 variables on the opposite sides.

13n  + 6 > 10n + 18

-10n        -10n

a. 3n + 6 > 18

3. Subtract 6 from each side.

3n + 6 > 18

     -6     -6

a. 3n > 18

Divide 3

b. n > 4

Sorry for the long explanation, but i hope this helps!

Please help. Parallel lines and proportional parts. Explanation would help.

Answers

Answer:

x = 11

Step-by-step explanation:

A six-sided die is rolled. What is the probability of NOT rolling a 1 or 6?

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

"The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible".

Here the number of favorable outcomes is 4, and the number of total outcomes is 6.

So the probability of NOT rolling a 1 or 6 is [tex]\frac{4}{6}[/tex] which is [tex]\frac{2}{3}[/tex]

Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle X′Y′Z′, with vertices X′(4, -2), Y′(4, -3), and Z′(1, -4). The type of transformation that triangle XYZ undergoes is a (1: translation 2 units left and 6 units up, 2: Reflection across the y-axis, 3: Reflection across the x-axis, 4: Translation 6 units right and 2 units down, 5: Dilation by scale factor 2. Choose the Correct answer.

Answers

Answer:

4. Translation 6 unit right and 2 units down.

Step-by-step explanation:

Let' take the point and it's corresponding image.

x(-2,0) and x'(4,-2)

Now,let's find the translation

-2+? =4

0+? =-2

Now, if we solve each for ?, we get

-2+?=4, gives ? =6

0+?=-2 gives ?=-2

It means the translation is move right 6 units and down 2 units.

So, option 4 is right.

3 - 5 + 3(2 - 1) + 4 = 2 =
A)3.5 B)2.5 C)3 D)5

Answers

C)3. My work is shown below

Answer:

C. 3

Step-by-step explanation:

Follow (PEMDAS) order of operations

[tex]3-5+3\left(2-1\right)+4\div \:2\\\\3-5+3\cdot \:1+4\div \:2\\\\3-5+3+4\div \:2\\\\3-5+3+2\\\\3[/tex]

~

Matthew fills his dogs water bowl with 16 oz of water every morning, if his dog finishes all of his water everyday, how many ounces will his dog drink in a week?

Answers

Answer:

112

Step-by-step explanation:

16x7=112

Answer:

To answer this, you just multiply 16 by 7 because Matthew's dog drinks 16 ounces of water each day, and there are 7 days in a week. After doing so, you will find the answer of 112. So, Matthew's dog will drink 112 ounces of water in a week.

Step-by-step explanation:

Hope this helps! :)

Have a blessed day!

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Sally works in a cell phone store. She is paid

Answers

Step-by-step explanation:

is there a question here???

Answer:

Alright?

Step-by-step explanation:

Functions p and q are defined by these equations: p(x) = 5x + 30 q(x) = 11x − 24 What is (q − p)(6)? A. -42 B. 42 C. 18 D. -18

Answers

Answer

D. -18

Step-by-step explanation:

p ( x ) = 5x + 30, q ( x ) = 11x -24

( q - p ) (6 ) = 11x -24 - ( 5x + 30 )

                  = 11.6 - 24 - 5.6 - 30

                  = 66 - 24 - 30 -30

                  = 42 -30 -30

                  = 12 -30

                  = -18

A system equation is-
[tex]\bf\begin{cases} & \bf x^4y^5+x^5y^4=810 \\ & \bf x^6y^3+x^3y^6=945 \end{cases}[/tex]






Solve for real x and y .
How to solve it? Please explain. The question is correct.​

Answers

Answer:

Solution:

Given that,

x⁴y⁵ + x⁵y⁴ = 810

➝ x⁴y⁴(x+y) = 810 ---(1)

[tex] \: [/tex]

Further given that,

x⁶y³ + x³y⁶ = 945

x³y³(x³y³) = 945

[tex] \: [/tex]

We know,

[tex] { \boxed{{x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2}) }}[/tex]

So, using this identity, we get,

➝ x³y³( x + y )( x² - xy + y²) = 945

---(2)

[tex] \: [/tex]

On dividing equation (1) and (2), we get,

[tex] \longrightarrow\frac{ {x}^{2} - xy + {y}^{2} }{xy} = \frac{945}{810} [/tex]

[tex] \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} - 1 = \frac{7}{6} [/tex]

[tex] \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{7}{6} + 1[/tex]

[tex] \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{7 + 6}{6} [/tex]

[tex] \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{13}{6} [/tex]

[tex] \: [/tex]

➝ 6x² + 6y² = 13xy

➝ 6x² - 13xy + 6y² = 0

➝ 6x² - 4xy - 9xy + 6y² = 0

➝ 2x( 3x - 2y ) - 3y( 3x - 2y ) = 0

➝ ( 3x - 2y ) ( 2x - 3y ) = 0

[tex] \longrightarrow \:{ \bold{ x = \frac{3y}{2} \: \: \: or \: \: x = \frac{2y}{3} }}[/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex]{ \underline {\underline {\red{Case:- 1 }}}}[/tex]

[tex]{ \bold{When \: x = \frac{3y}{2}}} [/tex]

In Substating the value of x in equation (1) we get,

[tex] \frac{81 {y}^{4} }{16} \times {y}^{4} \times ( \frac{3y}{2} + y) = 810[/tex]

[tex] \frac{ {y}^{8} }{16} \times ( \frac{5y}{2} ) = 10[/tex]

[tex] {y}^{9} = 64[/tex]

[tex] {y}^{9} = {2}^{6} [/tex]

[tex] \: [/tex]

[tex] \longrightarrow \: { \bold{y = {(2)}^{ \frac{2}{3} } }}[/tex]

[tex] \longrightarrow \: { \bold{x = \frac{3}{2} {(2)}^{ \frac{2}{3} } }}[/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex]{ \underline {\underline {\red{Case:- 2}}}}[/tex]

[tex]{ \bold{When \: x \: = \frac{2y}{3} \rightarrow \: \: y = \frac{3x}{2} }}[/tex]

On Substituting the value of y in equation (2), we get,

[tex] \frac{81 {x}^{4} }{16} \times {x}^{4} \times ( \frac{3x}{2} + x) = 810[/tex]

[tex] \frac{ {x}^{8} }{16} \times ( \frac{5x}{2} ) = 10[/tex]

[tex] {x}^{9} = 64[/tex]

[tex] {x}^{9} = {2}^{6} [/tex]

[tex] \: [/tex]

[tex] \longrightarrow \: { \bold{x \: = {(2)}^{ \frac{2}{3} } }}[/tex]

[tex] \longrightarrow \: { \bold{y = \frac{3}{2} {(2)}^{ \frac{2}{3} } }}[/tex]

Want MONEY answer this.

Answers

Answer:

2

Step-by-step explanation:

2 lines for each letter is the maximum.

They could be intersecting lines

if the area of square is 49msq find the length of one side and perimeter​

Answers

Answer:

1 is your answer if not idk

Step-by-step explanation:

because if there is 4 and its 3 then its 1

(a) Complete the table of values below. Show your work.
x y
-1
0
1



(b) Identify the slope and y-intercept of the equation.
slope =
y-intercept = 0, 5


(c) Choose the graph that matches the equation y = 3x – 5.

Answers

Answer:   y= 3x - 5 + 5 - 5

Step-by-step explanation:  

PLEASE HURRY! What is the rate of change of the function? -2 - 1/2 1/2 2
Thank you.

Answers

Answer: -2

Step-by-step explanation: The line has a slope of -2/1, which is just -2.

Answer:

Add 1 1/2 each time

Step-by step explanation

-2 add 1 1/2 is -1/2 then add 1 1/2 to that 1/2, etc

can i get brainliest?

1/3 of 21 bottles of water =

Answers

The answer should be 7 bottles of water

Riddle

I AM THE SON OF WATER BUT WHEN I RETURN TO WATER I DIE.

WHO AM I…?

can some one help

Answers

Answer:

I am the son of waterbut when I return to water I die

Ice

A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34. what is the 90% confidence interval for the population mean? use the table below to help you answer the question. confidence level 90% 95% 99% z*-score 1.645 1.96 2.58 remember, the margin of error, me, can be determined using the formula m e = startfraction z times s over startroot n endroot endfraction. 128.75 to 147.25 130.98 to 145.02 132.10 to 143.90 137.38 to 138.62

Answers

The 90% confidence interval for the population mean is (132.1, 143.9). Then the correct option is C.

What is the margin of error?

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34.

The 90% confidence interval for the population mean. Then we have

[tex]\rm Margin \ of \ error = z * \dfrac{Standard \ deviation}{\sqrt{sample \ size}}\\\\\\\Margin \ of \ error = 1.645 * \dfrac{34}{\sqrt{90}}\\\\\\Margin \ of \ error = 5.9[/tex]

The interval will be given as

Mean ± Margin of error

138 ± 5.9

Then the interval will be (132.1, 143.9).

More about the margin of error link is given below.

https://brainly.com/question/6979326

Answer:

The answer is C. 132.10 to 143.90

Step-by-step explanation:

please brainliest? :)

Other Questions
Many Americans do not consume enough of this key nutrient: _________________. It is commonly found in almost all dairy products. wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww You have to interview a famous sportsperson. Prepare a set of 8 question to ask him /her 8 increased by twice Goran's ageUse the variable g to represent Goran's age. WEALTH MANAGEMENT CRISIS AT UBS1) In your opinion, to what extent did the government and national culture play in the scandal? And to what extent did corporate culture contribute to the scandal?2) Without the Global Financial Crisis, do you think the scandal would have been reasonably uncovered, or would they have lingered? If yes/no, please explain.3) Does it matter who or what entities could have been impacted by the scandal? What if net/net there were no losses incurred?4) In your opinion, is the next scandal already underway, and are we just waiting for the next recession to find out what is currently going on? Please explain. Espresso Coffee House is designing a coffee mug that keeps liquids hot. The research department tested several different materials for their ability to keep a normal-sized cup of coffee hot the longest amount of time. The testing room temperature is approximately 25 degrees Celsius. Write a scientific explanation to justify the selection of material, A, B, or C, used to create the cup that would keep the coffee the hottest for the longest period of time. What were the men who worked for the Inquisitor General called?Crypto-Jewsconquistadoresbrownshirtsfamiliars Wanda bought a sweater for 25% off. If the original price of the sweater was $56, how much was the discount Wanda received? How do you judge whether a conclusion is successful? It revisits the thesis and may answer a question or recommend an action. A successful conclusion repeats the thesis and the support. A good conclusion restates the thesis word for word and adds one new fact. A conclusion is successful if it convinces readers that the author's ideas are correct. What is the solution of (4 x minus 16) Superscript one-half Baseline = 36? x = 5 x = 13 x = 20 x = 328. Help. I need to write an essay about leadership and I only have one paragraph and a conclusion. I DONT KNOW WHAT ELSE TO WRITE IN THE SECOND PARAGRAPH 4 (3r+4) = -8 (2r+5) k(t) = 13t-2k(t)=13t2k, left parenthesis, t, right parenthesis, equals, 13, t, minus, 2k(3)=k(3)=k, left parenthesis, 3, right parenthesis, equals How do I find the slope point equation of this when I only have (4,-2) and no slope? During class, every student has to share a cultural object. Huda chooses to share a magazine about celebrity gossip. How would the teacher MOST accurately respond to Hudas example? HELP WILL GIVE CROWN exercise have benenfit when? A student is writing a letter to the principal for a class assignment on homework policies. The student wants to improve the introduction in hisopening paragraph. Read the following text from the student's draft and complete the task that follows itI would like to change the homework policy. Four hours of homework is too much. It is time for a change. Students spend sevenhours in school and two hours commuting to and from school. The current policy only permits students three hours for eating, extracurricularactivities, family time, and relaxation. I believe that this policy is unreasonable and I would like to suggest adding ninety minutes to the schooday in place of homeworkRevise the underlined portion of the student's opening paragraph. Which sentence would add a better introduction to the draft?AAbove all, I would like to alter the Jackson High School homework policy.OBFirst, I am writing you to request that our school's homework policy be altered.O c. Respectfully, I am writing you to request a change in our school's homework policy Sit up straight____Choose the correct answer( punctuate the following sentence)A. ;B. ?C. .D. : can someone pls help with both of these. WILL MARK BRAINLIEST