The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2

The Graph 4x^2-4x-1 Is Shown. Use The Grpah To Find The Estimates For The Solutions Of 4x^2-4x-1=0 And

Answers

Answer 1

Answer:

a) The estimates for the solutions of [tex]4\cdot x^{2}-4\cdot x -1 = 0[/tex] are [tex]x_{1}\approx -0.25[/tex] and [tex]x_{2} \approx 1.25[/tex].

b) The estimates for the solutions of [tex]4\cdot x^{2}-4\cdot x -1 = 2[/tex] are [tex]x_{1}\approx -0.5[/tex] and [tex]x_{2} \approx 1.5[/tex]

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial [tex]y = 4\cdot x^{2}-4\cdot x -1[/tex], where [tex]x[/tex] is related to the horizontal axis of the Cartesian plane, whereas [tex]y[/tex] is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) [tex]4\cdot x^{2}-4\cdot x -1 = 0[/tex]

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

[tex]x_{1}\approx -0.25[/tex], [tex]x_{2} \approx 1.25[/tex]

b) [tex]4\cdot x^{2}-4\cdot x -1 = 2[/tex]

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

[tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex]

The Graph 4x^2-4x-1 Is Shown. Use The Grpah To Find The Estimates For The Solutions Of 4x^2-4x-1=0 And

Related Questions

Find the roots of the following factored quadratic equation.
y= (2x-9) (7x-4)

Answers

Answer:

x = 4.5, 4/7

Step-by-step explanation:

To find the roots of a factored equation you need to set the y value at 0, that way you can solve for x. Once you solve for x you get two quantities, which can be graphed. These two quantities are where the x intercepts are.

10. The test was worth 100 points. There were 28 problems on the test. Some of the
problems were worth 3 points and others were worth 5 points. How many of each were
there?

Answers

Answer:

There are 20 3-point questions and 8 5-point questions

Step-by-step explanation:

x=3 point y=5 point

x+y=28 ----> x=28-y

3x+5y=100

3(28-y)+5y=100

84-3y+5y=100

84+2y=100

2y=16

y=8

28-8=20

Answer:

20 3-point questions and

8   5-point questions.

Step-by-step explanation:

Let there be x 3 point problems and y 5 point problems. So we have:

x + y = 28              Multiply this equation by -3:

-3x - 3y = -84

3x + 5y = 100       Adding the last 2 equations:

0 + 2y = 16

y = 8

So x = 28 - 8 = 20.

Need help with this?

Answers

Answer:

Half of the possible choices as far as I know are not shown in the picture but your answer should be the graph that is 5 units down than the center of the graph.

I WILL GIVE BRAINLIEST TO CORRECT ANSWER
-x<-x+7(x-2)

Answers

Answer:

x>2

Step-by-step explanation:

0<7x-14

-7x<-14

x>2

hope that's right

Answer:

x > 2

Step-by-step explanation:

-x < -x+7(x-2)

0 < 7(x-2)

0 < x-2

x > 2

(edited)

Answer this please will give brainliest

Answers

Answer:

answer is 4

Step-by-step explanation:

Answer:

I can't see it well, some part of the question cut out. I suggest you to delete this question and make a new one so we can see it better, and be able to help

Step-by-step explanation:

help please will mark branniest
thanks :)

Answers

Answer:

the first one is the 2 method for cpm and the second one is to seperate the other variable. the last one is say its a combination of both removing zeros and balanced sets. hope this helped :)

Rewrite the explicit formula in function form. The identify the y
intercept of the function.
an = 9-3(n-1)

Answers

Answer: y-intercept: (0, 12)

Step-by-step explanation:

[tex]a_n[/tex] = 9 − 3 (n − 1)

Use the slope-intercept form to find the slope and y-intercept.

  The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

     y = mx + b

  Find the values of m and b using the form y = mx + b.

     m = −3

     b = 12

  The slope of the line is the value of m, and the y-intercept is the value of b.

     Slope: −3

     intercept: (0, 12)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

  Find the x-intercept.

     To find the x-intercept(s), substitute in 0 for y and solve for x.

        0 = −3x + 12

      Solve the equation.

        Rewrite the equation as −3x + 12 = 0.

              −3x + 12 = 0

         Subtract 12 from both sides of the equation.

              −3x = −12

         Divide each term by −3 and simplify.

              x = 4

     x-intercept(s) in point form.

     x-intercept(s): (4, 0)

  Find the y-intercept.

     To find the y-intercept(s), substitute in 0 for x and solve for y.

        y = −3 ⋅ 0 + 12

   Solve the equation.

     Remove parentheses.

           y = −3 ⋅ 0 + 12

       Simplify −3 ⋅ 0 + 12.

           y = 12

     intercept(s) in point form.

     intercept(s): (0, 12)

  Create a table of the x and y values.

      x | y

     0 | 12

     4 | 0

Graph the line using the slope and the y-intercept, or the points.

Slope: −3

intercept: (0, 12)

A 50% DISCOUNT IF THE SWAETSHIRT COST $64.75, HOW MUCH DID ADAM PAY ROUNDED TO THE NEASRT HUNDERTHS

Answers

Answer: $32.38

Explanation:

64.75 = 100%

So that mean 50% would be half of 64.75

64.75 ÷ 2 = 32.375

A small box holds 20 shirts. A large box holds 165% as many shirts as than a
small box. How many shirts does the large box hold?

Answers

Answer:

33 shirts

Step-by-step explanation:

100% of 20 = 20

65% of 20 = 13

total = 33

Find the value of x.

Answers

Step-by-step explanation:

(3x+24)°=(8x-11)°

24+11=8x-3x

35=5x

x=7

A faucet fills 1/3 of a water cooler in 1/12 of an hour At this rate how long does it take the faucet to fill the cooler completely

Answers

Answer:

[tex]\frac{1}{4}\:\mathrm{of\:an\:hour\: or\:}15\:\mathrm{minutes}[/tex]

Step-by-step explanation:

If the faucet fills [tex]\frac{1}{3}[/tex] of the water cooler in [tex]\frac{1}{12}[/tex] of an hour, then it will take the faucet [tex]\frac{1}{\frac{1}{3}}\cdot \frac{1}{12}=3\cdot\frac{1}{12}=\fbox{$\frac{1}{4}$}[/tex] of an hour to fill the faucet completely.

express the following ratio in their simplest form 45cent: $2.25​

Answers

Answer:

$1.80

Step-by-step explanation:

i had this question

) What are the solutions of -1<=x-3<4 ?​

Answers

The solutions are 1!42

Help me with math please

Answers

Answer: 464

Step-by-step explanation:

Please help me with this question

Answers

Step-by-step explanation:

y-intercept in the point x = 0

B) is the easiest

g(x) or y value

g(x) = 3x² + 6x -9

= 3(0)² + 6(0) -9

= 0 + 0 -9

= -9

y-intercept = (0,-9)

Please help me!!!!!!

Answers

Answer:

I am sorry but this is too difficult

Step-by-step explanation:

I recommend asking a teacher for help not to be rude

Hey guys can you help me with these im kinda busy and dont feel like doing them

Answers

Answer:

yes Whyy?

Step-by-step explanation:

walalang Sagot mo yan HAHAHAHAH

There are 1,200 bacteria in a lab dish. The population decreases 10% per day. Compare the decrease in the population for days 1 to 3 with the decrease for days 4 to 6.

Complete the sentence with “more quickly,” “less quickly,” or “at
the same rate.”

The population decreases [ Select ] from day 1 to day 3 than from day 4 to day 6.

Answers

The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The total number of bacteria in lab dish is 1200

The population decreases 10% per day

In first day:

10/100×1200=120

120 bacteria decreased in lab

1200-120=1080

In second day:

0.1×1080=108

1080-108=972

In third day

0.1×972=97.2

972-97.2=874.8

In fourth day

0.1×874.8=87.48

874.8-87.48=787.32

In fifth day

0.1×787.32=78.732

787.32-78.732

708.588

The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.

Hence, the population decreases  more quickly from day 1 to day 3 than from day 4 to day 6.

To learn more on Percentage click:

brainly.com/question/28269290

#SPJ1

A builder needed to buy one hundred fifty-four boards for his latest project. If the board he needs comes in packs of three, how many packets will he need to buy

Answers

Answer:

51.3 packets or 51 1/3 packers

Step-by-step explanation:

From the above question:

The board he needs comes in packs of three. This means

1 pack = 3 boards

Hence:

3 boards = 1 packet

154 boards = x

Cross Multiply

3x = 154

x = 154/3

x = 51.333333333 packets

Approximately = 51.3 packets or 51 1/3 packers

The builder will need to buy 51.3 packets or 51 1/3 packers

Given: CD = 1, and
Find the elements of D.
a
a =
-2 4 1
C = 1 0 3
- 2 3 -1
»E
a b
D= d e
19
h
f
i
b=
CE
d=
DIUIIIII
e =
f =
g=
h =

Answers

Answer:

1, and Find the elements of D. a a = -2 4 1 C = 1 0 3 - 2 3 -1 »E a b D= d e 19 h f ... - did not match any documents.

Suggestions:

Step-by-step explanation:

1, and Find the elements of D. a a = -2 4 1 C = 1 0 3 - 2 3 -1 »E a b D= d e 19 h f ... - did not match any documents.

Suggestions:

Answer:

a=-9

b=7

c=12

d=-5

e=4

f=7

g=3

h=-2

i=-4

Step-by-step explanation:

Don't forget to add the negative signs on a, d, h, and i

Edg 2020-2021

What is the slope of a line parallel to the line whose equation is y=3x + 4?​

Answers

Answer:

The slope of any line parallel to y=3x+4 would be 3!

Step-by-step explanation:

When lines are parallel, they always have the same slope!

When lines are perpendicular, the slope would be the negative reciprocal!

I hope this helps!

One solution to a quadratic equation is x = -2i
What is the other solution?

Answers

I believe it would be x=2i

:)

will give brainliest please help:)

Simplify:
-3-8(-5x - 1)​

Answers

Answer:

5+40x

Step-by-step explanation:

I hope this helps. Best of luck.

Answer:

-11 times by -6x

Step-by-step explanation:

HELP! I’ll MARK BRAINLIEST
contestants indoor run-and-bike-a-thon run for a specified length of time, then bike for a specified length of time. Jason ran at an average speed of 5.2 mi/H and biked at an average speed of 20.2 mi/H, go in a total of 14.6 miles. Seth ran at an average speed of 10.4 mi/H and bite at an average speed of 18.8 mi/H, going a total of 17.8 miles. For how long do contestants run and for how long do they bike? Round to the nearest hundred if necessary.

Answers

Answer:

they ran 5 and 2 and half hour

Step-by-step explanation:

they ran 5 and 2 and half hour

y = -2/3 x in standard form

Answers

Answer: y = -2/3x in standard form is 2x + 3y = 0

Answer:

x + y = -2/3

Step-by-step explanation:

When changing something to standard form, you want all variables on one side, and the remaining numbers gone.

Choose the definition for the function.

Answers

Answer: C

Step-by-step explanation:

Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation? Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8

Answers

Answer:Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8

Step-by-step explanation:

Answer: -8

Step-by-step explanation:

The range of the function is to because 4x is always positive. On a coordinate plane, an exponential function approaches the x-axis in quadrant 2 and increases exponentially in quadrant 1.

Answers

Answer:

The RANGE of the function is

✔ ZERO

to

✔ POSITIVE INFINITY

because 4x is always positive.

PLZ MARK AS BRAINLIEST:):):)

ALSO THANK AND FIVE STARE.

Answer:

B. Zero, C. Positive infinity

B, C

Step-by-step explanation:

Aaron invested $570 in an account paying an interest rate of 7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 8 years?

Answers

Answer:

The amount of money that would be in the account after 8 years is approximately $998

Step-by-step explanation:

The given parameters for the compound interest investment are;

The amount Aaron invested = $570

The interest rate of the investment = 7%

The mode of compounding of the interest = Continuously

The number of years the amount is invested = 8 years

For a compounded continuously interest rate, we have;

[tex]A = P \cdot e^{r \cdot t}[/tex]

Where;

A = The future value =The amount realized from the investment after the time of investment

P = The initial value = The principal amount invested

e = Euler's number = Mathematical constant

r = The interest rate = 7%

t = The time of investment = 8 years

Therefore, by substituting the known values, we have;

[tex]A = 570 \times e^{0.07 \times 8} \approx 997.883325[/tex]

The amount of money that would be in the account after 8 years to the nearest dollar = The future value of the investment = A ≈ 998

The amount of money that would be in the account after 8 years to the nearest dollar ≈ $998.

A town park has two biking trails. Marsh trail is 5 3/10 Miles long . Woodland Trail is 2 4/5 Long. How much longer is Marsh trail than woodland trail?

Answers

Answer:

3 1/5 i think srry if im wrong

Step-by-step explanation:

Other Questions
Can someone help w this Computer user support is another name for: Help I need help!!!! Please Find the measure of each numbered angle in the rhombus. 1 5 2/3 4 1. Jens' Frau heit _______.2. Jens _______ heien Finn und Lukas.3. Am Tag arbeitet _______ im Bro4. Tanja _______ als Krankenschwester. 5. Am Vormittag sind Finn und Lukas in der _______.6. Am Abend spielen Jens, Finn, Lukas, und Tanja Fuball oder _______ am Rhein.7. Jens macht in der Familie auch _____.8. Die Familie fahrt gemeinsam in den _______.9. In Deutschland leben die meisten (most) 18- bis 24-jahrign mit ihren (their) ______.10. Die meisten Deutschen, die alter als (older than) 80 Jahre sind, leben CalculatorWhat is the value of x?10Enter your answer in the box6 How are individuals and society benefited by the difference types of professions? What is one advantage of magnetic resonance imaging (MRI)? O A. High resolution O B. Claustrophobia O C. Magnetic fields D. Damaging radiation Rapid reproduction is an advantage of which process? A. gamete formation B. sexual reproductionC. asexual reproduction D. chromosome duplication Shannon bought 518 pounds of apples. Bill bought 278pounds of apples. Which most closely estimates how many more pounds of apples Shannon bought than Bill? PLEASE HELPneed a mnemonic device for China, Mongolia, South Korea, Honshu, Shanghai x^2- y = 42x + y = -1use graphing to find the solutions to the system of equations 5 2/3+m=9 3/4 evaluate Question 1 of 10What is a major drawback of using fossil fuels?A. They release carbon dioxide.B. They destroy greenhouse gases.O c. They generate electricity.O D. They cool the planet. can a baby that has blood type AB have one parent that is type O? Can someone help me put this in slope-intercept form with steps? 2x+3y = -1 Which statement best explains the trend toward lower birthrates in the late 1800s? A) The Homestead Act significantly increased the number of families practicing subsistence farming in the West. Scarce agricultural yields and resources necessitated smaller households to support. B) The Comstock Act limited young peoples access to information about sex and contraception. Limited birth control options prompted successful social movements for premarital abstinence. C) The new economy led to a growing middle class. Middle-class people tended to marry later in life and concentrated financial resources on educating fewer children in preparation for professional futures. D) Womens activist groups discouraged womens traditional roles in America. Women increasingly rejected marriage and child-rearing in favor of professional and political careers. Select all the expressions that are solutions to 5= (2/3)x.5\div2/310/35/2/35\bullet2/3 Write the equation of a line that is parallel to y=x-4 and passes through the point (2,3) carlos put a total of 1/8 lb of gravel into 6 fishtanks he put the same amount of gravel into each tank how many pounds of gravel did carlos put into each fish tank Add and Subtract mixed numbers. Find the sum or difference in simplest form. 31/2 - 1 1/2