Given the function f(x)=3-2x^2, find k such that f(k)=-3

Answers

Answer 1

Answer:

k = ±√3

Step-by-step explanation:

Given :

f(x) = 3 - 2x²f(k) = -3

To find the value of k, we need to equate both the functions to find the value of x such that it is equal to the value of k.

⇒ 3 - 2x² = -3⇒-2x² = -6⇒ x² = 3⇒ x = ±√3

We already set a relation before, which is :

x = kTherefore, k = ±√3

Related Questions

Morgan’s math scores were 82, 85, 89, 94 and 100. What was the mean of her scores?

Answers

Answer: 90

Step-by-step explanation:

add all numbers up:

82+85+89+94+100=450

divide by amount of numbers

450/5=90

please someone help me with this exercise I don't understand it and I really need it

Answers

Height is 270. Lowering means it gets closer to the ground as time goes on.
So equation is 270 minus the amount it has lowered per second. Answer is c.
S gets multiplied by 2.5 because the 2.5 feet decrease happens each second.
Mark as the best!

In the diagram, BD is a diameter of circle A. If the slope of BE is 3/2, what is the slope of BD

Answers

Answer:

Step-by-step explanation:

the slopes are perpendicular

find a slope perpendicular to 3/2

how to find:

change the sign of the slope and flip the fraction

-2/3 is the slope

The slope of BD is -2/3.

What is slope?

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

BD is a diameter of circle A. If the slope of BE is 3/2.

We have to find the slope of BD.

According to given question we have

We know that the slope of a perpendicular line from the slope of a given line is obtained by taking the negative reciprocal of the slope of the given line. If the slope of the given line is [tex]m_{1}[/tex] and the slope of a perpendicular line is [tex]m_{2}[/tex] then we have

[tex]m_{2} = -1/m_{1}[/tex]

So, the slope of BD is -2/3.

Therefore, the slope of BD is -2/3.

Learn more details about slope here:

https://brainly.com/question/3605446

#SPJ1

Could someone explain each one of these questions (apart from a) step by step? Thanks!

Answers

part c:

100-3t = 64

100-64 = 3t

36 = 3t

t = 12

part d:

1/2 (x-5) = 9

x-5 = 9 / (1/2)

x-5 = 18

x = 23

When in algebra, you can do the same to both sides. Here is a simple example that will hopefully make things easier.

According to a survey of workers 6/50 of them walk to break 3/50 bike 10/50 carpool and 31/50 Drive alone what percent of workers walk or bike to work

Answers

Answer:

Step-by-step explanation:

6+3=9/50

9/50 x  100=18 percent



A student has taken 5 quizzes. She would like to have at least 90% average. What must her fifth score be to achieve her goal?
90, 85, 86, 93, x

Answers

Answer:

she needs 96 in the fifth quiz

how do you do this???

Answers

Answer:

i think itd -4 * x which is -4x and you do -4*3 which is -12 so its -4x+-12=8 and then you add 12 to both sides so -12+12 will cancel and then 8+12=20 so its -4x=20 and the answer would be X= -5

Step-by-step explanation:

Can I please have brainliest

Solve for x and round to near tenth

Answers

Answer:

Step-by-step explanation:

[tex]\sf Cos \ x = \dfrac{adjacent \ side}{hypotenuse}\\\\\\cos \ x =\dfrac{4}{9}\\\\\\Cos \ x = 0.44\\\\x = Cos^{-1} \ (0.44)\\[/tex]

x = 63.9°

PLEASE HELP ASAP WILL MARK AS BRAINLIST

93. In 1939 a hamburger sold for 5¢, but a worker would only earn 30¢/h.
If in a later year, a hamburger sells for 85¢, how much would the
worker earn if earnings went up at the same rate?

Answers

Answer:

$5.10/h

Step-by-step explanation:

85/5 = 17

it increased 17 times, so did the worker

.30x17= $5.10

Writing Expressions and Equations the product of 6 and 11

Answers

Answer:

The product of 6 and 11 is 66

But what is the reason for this?

The product of two or more numbers is the same as multiplying those numbers together. The product will always be the result.

[tex]6 * 11 = 66~or~66 / 11 = 6[/tex]

Notice how the division problem is just the multiplication problem backwards, for the purpose of better understanding.

Hence, the correct answer is 66

PLEASE HELP!! 50 POINTS!!

Answers

Part A

[tex]\sf{ change \ of \ base \sf \ : \ \ \ \log _{b} a=\dfrac{\log _{d} a}{\log _{d} b}}[/tex]

Part B

Some common choices for base:

2310

Part C

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{\log _{3} 3}{\log _{3} 2}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.631}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.630929}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=1.584962501[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3 = 1.58[/tex]

1.58 is the value when rounded to nearest hundredth.


Linda deposited $200 in an account earning 5% interest compounded annually.
To the nearest cent, how much will she have in 2 years?

Answers

Rounding to the nearest cent, Linda will have $220.50 in 2 years after  1 year, the amount Linda.

what is amount ?

The word "amount" in mathematics refers to something's quantity or value in general. Depending on the context, it may refer to a wide range of concepts. "Amount" can, among other things, refer to the total value of a group of numbers, the total price of an acquisition, the total number of items in a collection, or the total amount of money in an account. The word "amount" is frequently used in financial situations to refer particularly to a sum of money, either as a total value or as a specific payment or transaction.

given

After 1 year, the amount Linda will have is:

200 * 1.05 = $210

After 2 years, the amount Linda will have is:

210 * 1.05 = $220.50

Rounding to the nearest cent, Linda will have $220.50 in 2 years after  1 year, the amount Linda.

To know more about amount visit :-

brainly.com/question/8082054

#SPJ1

Please help!!!!!!!!!!!!!!!!1

Answers

Answer:

The correct answer is C: [tex]t\leq 58[/tex]

Step-by-step explanation:

In order to solve this problem, start by first creating an inequality to represent the situation above. The price of the hours and the supply fee can't go over $1,500, so you can set the representative inequality as [tex]25t+50\leq 1500[/tex]. Now solve the inequality, and you will get [tex]25t+50\leq 1500[/tex] => [tex]25t\leq 1450[/tex] => [tex]t\leq 58[/tex] hrs. So C is the correct answer.

Answer:

The answer is C.t is less than or equal to 58.

Step-by-step explanation:

Let x = Number of tutoring sessions

Supplies + tutoring cost = total cost

50 + 25x = 1500

Now need to solve:

Subtract 50 from both sides and simplify

50/ + 25x - 50 = 1500 - 50

25x = 1450

Divide both sides by 25 and simplify

25x/25 = 1450/25

Therefore,

[tex]x\leq 58[/tex]

P=1/2

q=-1/3

r=1/5


30pqr(p+q+r)/(p+q)(p+r)


Answer -22/7

Answers

Answer:

Given:

[tex]p=\dfrac12[/tex][tex]q=-\dfrac13[/tex][tex]r=\dfrac15[/tex]

Given expression:

[tex]\dfrac{30pqr(p+q+r)}{(p+q)(p+r)}[/tex]

Substitute given values into given expression:

[tex]\implies \dfrac{30\cdot\dfrac12\cdot-\dfrac13\cdot\dfrac15\left(\dfrac12-\dfrac13+\dfrac15\right)}{\left(\dfrac12-\dfrac13\right)\left(\dfrac12+\dfrac15\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{30}{30}\left(\dfrac{15}{30}-\dfrac{10}{30}+\dfrac{6}{30}\right)}{\left(\dfrac36-\dfrac26\right)\left(\dfrac{5}{10}+\dfrac{2}{10}\right)}[/tex]

[tex]\implies \dfrac{-1\left(\dfrac{11}{30}\right)}{\left(\dfrac16\right)\left(\dfrac{7}{10}\right)}[/tex]

[tex]\implies \dfrac{-\dfrac{11}{30}}{\dfrac{7}{60}}[/tex]

[tex]\implies -\dfrac{11}{30}\times \dfrac{60}{7}[/tex]

[tex]\implies -\dfrac{660}{210}[/tex]

[tex]\implies -\dfrac{22}{7}[/tex]

According to the image below, which season is about to begin in the southern hemisphere?
O Summer
O Autumn
O Winter
O Spring

Answers

Answer:

Step-by-step explanation:

this would be summer. because i took le test puddin -Love harley

Tommy ran 15.4 miles in 7 days. How many miles did Tommy run per day

Answers

Tommy ran 2.2 miles a day.

15.4/7 = 2.2

2x + 3y = 13
4x - y = -2

Answers

Answer:

Step-by-step explanation:

Solve the following system:

{3 y + 2 x = -2 | (equation 1)

{-y + 52 x = -2 | (equation 2)

Swap equation 1 with equation 2:

{52 x - y = -2 | (equation 1)

{2 x + 3 y = -2 | (equation 2)

Subtract 1/26 × (equation 1) from equation 2:

{52 x - y = -2 | (equation 1)

{0 x + (79 y)/26 = -25/13 | (equation 2)

Multiply equation 2 by 26:

{52 x - y = -2 | (equation 1)

{0 x + 79 y = -50 | (equation 2)

Divide equation 2 by 79:

{52 x - y = -2 | (equation 1)

{0 x + y = -50/79 | (equation 2)

Add equation 2 to equation 1:

{52 x + 0 y = -208/79 | (equation 1)

{0 x + y = -50/79 | (equation 2)

Divide equation 1 by 52:

{x + 0 y = -4/79 | (equation 1)

{0 x + y = -50/79 | (equation 2)

Collect results:

Answer: {x = -4/79, y=-50/79

Identify the percent of change as an increase or decrease 15 ounces to 5 ounces

Answers

Answer:

it us 67%

Step-by-step explanation:

:))))))) good luck

there are 56 customer in a shop 24 of them are men the rest of the customer are women find the ratio of the number of men to the number of women in the shop

Answers

Answer:

There are 32 women in the shop.

Romeo has a work that pays 100 pesos per 1 hour. How much would he make in 10 hours?

Answers

Answer: he would get 1000

Step-by-step explanation:

100 x 10 =1000

Answer:

$1,000

Step-by-step explanation:

Since he makes 100 pesos in 1 hour, all you have to do is multiply 100 by 10. When multiplying a number by 10, all you do is move the decimal point back one. In this case, our decimal point is imaginary, so when we move it back one, you just add a zero at the end of the number. That gives you 1000.

Solve this pls 4x+32=5x-22

Answers

Answer:

54

Step-by-step explanation:

4x + 32 = 5x -22

Group like terms

32 + 22 = 5x - 4x

54 = X

X = 54

Answer:

x = 54

Step-by-step explanation:

4x + 32 = 5x - 22

5x - 4x = 32 + 22

x = 54

To clarify this,

(4 x 54) + 32 = 248

(5 x 54) - 22 = 248

Remove the largest possible common factor. Check your answer by multiplication. 9x^(4)+15x^(3)-12x
Factor out the greatest common factor.

Answers

Check 9,15,12 we can see the largest possible common factor is 3
Check x^4 , x^3 , x we can see the largest possible common factor is x
Therefore : the answer is
3x( 3x^3+ 5x^2 - 4)

Answer:

[tex]\bold{3x\left(3x^3+5x^2-4\right)}[/tex]

Factor the following

[tex]\hookrightarrow \sf 9x^4+15x^3-12x[/tex]

rewrite the following

[tex]\hookrightarrow \sf 3\cdot \:3x^3x+3\cdot \:5x^2x-3\cdot \:4x[/tex]

factor out the common term 3(x)

[tex]\hookrightarrow \sf 3x\left(3x^3+5x^2-4\right)[/tex]

check for answer through multiplication

[tex]\dashrightarrow \sf 3x\left(3x^3+5x^2-4\right)[/tex]

[tex]\dashrightarrow \sf 3x\left(3x^3)+3x(5x^2)+3x(-4)[/tex]

[tex]\sf \dashrightarrow 9x^4+15x^3-12x[/tex]

Find the missing length. Round to the nearest tenth, if necessary. A right triangle has legs measuring 8 units and x units and a hypotenuse measuring 21 units.

Answers

Answer:

168

Step-by-step explanation:

Find the surface area of the prism below.

Answers

Answer:

the surface area of the prism = 378 cm³

Step-by-step explanation:

Let S be the surface area of the prism

     B be the base of the prism

     h be the height of the prism

    T be the lateral surface area of the prism

_______

Formula

S = 2B + T

_________

[tex]\begin{aligned}B &=\frac{9 \times 12}{2} \\&=54\end{aligned}[/tex]

[tex]\begin{aligned}T &=7,5 \times(9+12+15) \\&=270\end{aligned}[/tex]

[tex]\begin{aligned}S &=2 B+T \\&=2 \times(54)+270 \\&=378\end{aligned}[/tex]

Find the product of 5.21 and 3.4

Answers

Step-by-step explanation:

5.21× 3.4 = 17.714

thank u

URGENTTTTT
Describe the graph of f(x)=-3(x+1)^2 (x-3) (x-5)^3. Include as much information in your description as possible.

(i will not click on links so dont even try-)

Answers

The graph is not symmetric, and it has no vertical or horizontal asymptotes.

What is coordinate geometry ?

Coordinate geometry is a branch of mathematics that combines algebraic and geometric concepts to study the properties of geometric figures using a coordinate system. It involves representing geometric figures such as points, lines, curves, and shapes in a plane or space using numerical values called coordinates.

According to given information :

The graph of the function [tex]f(x)=-3(x+1)^2 (x-3) (x-5)^3[/tex] is a cubic polynomial function with several important characteristics:

Degree: The degree of the function is 7, which means that the graph has 7 x-intercepts.

Symmetry: The function is not symmetric with respect to the y-axis or the origin.

End Behavior: As x approaches negative infinity, the function approaches negative infinity, and as x approaches positive infinity, the function approaches negative infinity.

Zeros: The function has x-intercepts at x = -1, x = 3, and x = 5. The intercept at x = -1 has a multiplicity of 2, while the intercepts at x = 3 and x = 5 have a multiplicity of 3. This means that the graph touches the x-axis at x = -1 and bounces off at x = 3 and x = 5.

Turning Points: The function has two turning points, one at x = -1 and one at x = 3. The turning point at x = -1 is a local maximum, while the turning point at x = 3 is a local minimum.

Behavior near Zeros: Near each of the x-intercepts, the function changes direction. At x = -1, the function changes from decreasing to increasing. At x = 3 and x = 5, the function changes from increasing to decreasing.

Vertical Asymptotes: The function has no vertical asymptotes.

Horizontal Asymptotes: The function has no horizontal asymptotes.

Intercepts: The y-intercept of the function is at y = 0.

Overall, the graph of the function [tex]f(x)=-3(x+1)^2 (x-3) (x-5)^3[/tex] is a complicated cubic polynomial with multiple x-intercepts, turning points, and changing directions near the intercepts.

Therefore, the graph is not symmetric, and it has no vertical or horizontal asymptotes.

To know more about coordinate geometry visit :

https://brainly.com/question/18269861

#SPJ1

what is 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30*0.0

Answers

Answer:

435

Step-by-step explanation:

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30*0.0= 435

Answer:

the answer is: 435

Step-by-step explanation:

You are considering the two different car loans.

Using the payment table, which loan has the lowest monthly payment?

Answers

Answer: Choice A

Loan A has the lower monthly payment

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

Explanation:

Loan A is at a rate of 6.9% over 5 years. The table says that if you borrowed $100 at this interest rate and time period, then the monthly payment would be $1.98 per month.

However, you are borrowing $17,601 which is 176.01 times greater than 100 since (17601)/(100) = 176.01

So 1.98*176.01 = 348.4998 = 348.50 is the monthly payment of loan A.

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

Meanwhile, loan B has an interest rate of 8.9% and lasts for 3 years. Use the table to see that borrowing $100 at this rate and time means the monthly payment is $3.18

The multiplier this time is 162.90 because (16290)/(100) = 162.90

Therefore, 162.90*3.18 = 518.022 = 518.02 is the monthly payment of loan B.

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

To summarize, we have these monthly payments

loan A monthly payment =  $348.50loan B monthly payment =  $518.02

Loan A has the lower monthly payment

please help urgent math photo attached ​

Answers

Answer:

  K = (-5, 14)

Step-by-step explanation:

For writing equations of parallel and perpendicular lines, it is convenient to start with equations in general form:

  ax +by +c = 0

Rewriting the given equations, we have ...

  y = 1/2x -1

  x -2y -2 = 0 . . . . . line d

  y = -3x +2

  3x +y -2 = 0 . . . . . line d'

__

A parallel line will have the same coefficients, but a constant appropriate to the required point on the line.

Parallel to d' through A(-1, 2):

  3(x -(-1)) +(y -2) = 0

  3x +y +1 = 0 . . . . . . . . simplify

__

A perpendicular line will have the coefficients swapped and one of them negated. Again, the constant is appropriate to the required point.

Perpendicular to d through B(3, -2):

  2(x -3) +(y -(-2)) = 0

  2x +y -4 = 0 . . . . . . . . simplify

__

The solution to this system of equations can be found by subtracting the second equation from the first:

  (3x +y +1) -(2x +y -4) = (0) -(0)

  x +5 = 0

  x = -5

Substituting into the second equation gives ...

  2(-5) +y -4 = 0

  y -14 = 0

  y = 14

The coordinates of point K are ...

  K = (-5, 14)

_____

Additional comment

The general line through the origin ...

  ax +by = 0

can be translated to go through point (h, k) by the usual method for translating functions. The variable x is replaced by (x -h), and the variable y is replaced by (y -k). Using the general form equation means we can keep the variables and constants all on the same side of the equal sign, saving a bit of work and confusion.

  a(x -h) +b(y -k) = 0 . . . . . . line through point (h, k)

__

The graph is drawn by a geometry program capable of drawing parallel and perpendicular lines through given points. It confirms the equations and th solution.

Leah flips a coin and then she spins the spinner with 3 equal sections colored red green and blue what is the probility that the coin flips heads and the spinner lands on wither red or blue enter youanwser a percentage to the nearest percent

Answers

Answer:

33%

Step-by-step explanation:

Prob(heads) = 1/2

Prob(either red or blue) = 2/3

So Prob( heads and red/blue) = 1/2 * 2/3

= 2/6

= 1/3   which is 33%.

Other Questions
4. Sarah moved 530,000 of her savings to a new investment account that earns 4% interest compounded quarterty. Write a function to model this situation, then find the amount of interest the account will earn after 12 years. When are you potentially putting your patient care behind other interest A series of measurements with a voltmeter show a neuron's membrane potential becoming more negative, from -70 mV to -85 mV. This neuron is experiencing Please help Will give BRAINLIEST !!! :) Carissa always gives her 3-year-old daughter advance notice when they are about to leave the park. Which technique is she using to help her child thrive? Creating a safe space Establishing routines Making observations Preparing for transitions i need help!!! please help me 7. A steel band exerts a horizontal force of 80.0 N on a toothat point B in Figure 7.3. What is the torque on the root ofthe tooth about point A?Gum48.0AF1.20 cm Which title fits the graphic below?A: New Technologies Spread to the Americas B: American Contributions to the Columbian Exchange C: European Contributions to the Columbian Exchange D: Cultural Ideas Spread to the Americas x + 5x + 6 Factor each polynomial. Valid reasons why a company should definitely open a new production facility in latin america include Use the point-slope form of a line to write the equation ofa line that has a slope of 2 and passes through the point(4,3). Write the equation in slope-intercept form. If you plan to write a report that explains how to do something, what details should your outline contain?an explanation of why the reader should care about your topica list of the steps a reader should take to complete the activityquestions that a reader might have about each step in the processall of these Lithium Oxide (Li2O) is a highly reactive chemical species which reacts to give electrons to other atoms, following a general reaction scheme of:Li2O + X LiX + O2Data were collected from a series of reactions involving lithium oxide and one other element.Which statement is best supported by the evidence in the table?The ionization energy of oxygen is lower than that of boron, beryllium, and lithium.The electronegativity of oxygen is lower than that of fluorine, carbon, and nitrogen.The electronegativity of oxygen is higher than that of boron, beryllium, and lithium.The ionization energy of oxygen is higher than that of fluorine, carbon, and nitrogen. Im in need of help technician A says that many port fuel-injection systems on four-cylinder engines use a simultaneous firing of injectors. Technician B says that sequential fuel injectors are timed and pulsed individually, much like the spark plugs are sequentially operated in firing order of the engine. Who is correct PLease help i will give brainliest Need the explanation for this map please need it what questions does the paper Women On Breadlines bring up Calculate the perimeter of the figure A man earns Rs.9600 and he saves Rs.2400 in a month.What percentage does he spends?