Use the Parabola tool to graph the quadratic function.

f(x)=3x^2−6x+5

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Use The Parabola Tool To Graph The Quadratic Function.f(x)=3x^26x+5Graph The Parabola By First Plotting

Answers

Answer 1

graphed below:

[tex]\sf f(x)=3x^2-6x+5[/tex]

vertex: (1, 2)cuts y-axis: (0, 5)
Use The Parabola Tool To Graph The Quadratic Function.f(x)=3x^26x+5Graph The Parabola By First Plotting
Answer 2

Answer:

Given function:    [tex]f(x)=3x^2-6x+5[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]  

(where [tex](h, k)[/tex] is the vertex)

Expand vertex form:

[tex]y=ax^2-2ahx+ah^2+k[/tex]

Compare coefficients of given function with expanded vertex form

Comparing coefficient of [tex]x^2[/tex]:

[tex]3=a[/tex]

Comparing coefficient of [tex]x[/tex]:

[tex]\ \ \ \ \ -6=-2ah\\\implies-6=-2 \cdot 3h\\\implies -6=-6h\\\implies h=1[/tex]

Comparing  constant:

[tex]\ \ \ \ \ \ 5=ah^2+k\\\implies5=3(1)^2+k \\\implies 5=3+k\\\implies k=2[/tex]

Therefore, the vertex is (1, 2)

As the leading coefficient is positive, the parabola will open upwards.

Additional plot points:

[tex]f(0)=3(0)^2-6(0)+5=5[/tex]

[tex]f(2)=3(2)^2-6(2)+5=5[/tex]

(0, 5) and (2, 5)

Use The Parabola Tool To Graph The Quadratic Function.f(x)=3x^26x+5Graph The Parabola By First Plotting

Related Questions

Write the word sentence as an inequality.
the sum of a number w and 2.56 is at least 10.24

Answers

Answer:

w + 2.56 ≥ 10.24

Step-by-step explanation:

The least w + 2.56 could be is 10.24 which means that w + 2.56 could be more than 10.24

George and Sarah were building a cone-shaped sand castle. after some time, the diameter of the sand shaped cone was 12 in. and the height was 14 in. what is the approximate volume of the sand cone rounded to the nearest hundreth? (show your work. remember you can draw a picture to help you solve the problem). label your answers with the correct units. use 3.14 to approximate pi answer:

they kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. what is the approximate volume of the sand cone now? label your answers with the correct units. (show your work) use 3.14 to approximate pi answer:

Answers

Answer:

why you delete my answer before question

solve for x.

x/2 + 6 = 24

Answers

Answer:

[tex]\displaystyle 36 = x[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{2} + 6 = 24 \hookrightarrow 18[2] = \frac{x}{2}[2] \\ \\ \boxed{36 = x}[/tex]

I am joyous to assist you at any time.

Hey there!


x/2 + 6 = 24

1/2x + 6 = 24


SUBTRACT 6 to BOTH SIDES

1/2x + 6 - 6 = 24 - 6

CANCEL out/ 6 - 6 because it give you 0

KEEP: 24 - 6 because it help solve for the x-value


NEW EQUATION: 1/2x = 24 - 6


SIMPLIFY IT!


1/2x = 18


MULTPLY 2 to BOTH SIDES

1/2x * 2 = 18 * 2

CANCEL out: 1/2 * 2 because it give you 1

KEEP: 18 * 2 because it help solve for the x-value (it actually give you the x-value)


NEW EQUATION: x = 18 * 2 or x = 2 * 18


SIMPLIFY IT!

x = 36


Therefore, your answer is: x = 36


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Which values from the set {0, 12, 2.5, 4} make the inequality 8g < 4 true?

a.0
b.1/2
c.2.5
d.4

Answers

Answer:

a. 0

Step-by-step explanation:

Which values from the set {0, 12, 2.5, 4} make the inequality 8g < 4 true?

Our inequality:

8g < 4

Substitute each values from the set {0, 12, 2.5, 4} for g, to find which value makes the inequality true.

For 0:

8g < 4

8(0) < 4

0 < 4

This statemen is true, because 0 is less than 4

For 12:

8g < 4

8(12) < 4

96 < 4

This statemen is false, because 96 is NOT less than 4

For 2.5:

8g < 4

8(2.5) < 4

20 < 4

This statemen is false, because 20 is NOT less than 4

For 4:

8g < 4

8(4) < 4

32 < 4

This statemen is false, because 32 is NOT less than 4

Hope this helps!

this polygon has an area of 72 square centimeters what is the height of the parallelogram​

Answers

Polígono is the height of pállelos gran

Whitney flips a coin and gets heads 45% of
the time.
She gets heads 54 times.
How many times did she flip the coin?

Answers

Answer: 120

54 times=45% or .45

To get 5% divide both numbers by 9.
6=5%
Now multiply this by 20 And you get
120=100%

What is the median: _____

enter the whole number and only 1 decimal value in this answer

Answers

Answer:

55.5

Step-by-step explanation:

First, we arrange the numbers from smallest to largest and find the one in the middle. Because there are two in the middle we will add them and multiply them by two, giving us our answer. 46+65=111  111 divided by 2=55.5.

c) d) When 3 is subtracted from the number, the remainder is 5.​

Answers

Answer:

so the equation would look like this, x - 3 = 5

the number or x = 8

Step-by-step explanation:

8 - 3 = 5

Hope this helps! :)

Which expression is equivalent to x + 11?
11 x
11 + x
11 - x
- x + 11

Answers

Answer:

11 + x

Step-by-step explanation:

x + 11 can be reversed as 11 + x and it would still mean the same thing.

11x means 11 * x so does not match

11 + x and x + 11 same this is correct answer tho

last two are also same  11 - x  and -x +11

please solve this question faaaast​

Answers

Answer:

300-400

Step-by-step explanation:

The first step is finding the total of the data we have. So, we take 5 + 10 + 15 + 20 + 25 + 15 + 10 which equals 80.

The median is the middle point of all the data. If it's an odd number, you can calculate the median with the equation (n+1) / 2, plugging in the total amount of data for n.

When it's an even number though, there is no one middle point since the data splits evenly in 2, so we have to use 2 equations: n/2 & (n/2) + 1. Then, we find the average of those two data points. (Although, you don't have to do that for this particular question).

When we plug 80 in for n in both of these equations, we get 40 and 41.

To where this is in the question, we have to count up from the bottom of the chart. 1-5 is below 100, 6-15 is 100-200, 16-30 is 200-300, and 31-50 is 300-400.

Since 40 and 41 are between 31 and 50, the answer is 300-400.

Hope this helps! :)

What is the length of the hypotenuse of the triangle?


Triangle A B C. Side A C is 7 feet and side C B is 4 feet. Hypotenuse A B is unknown.
StartRoot 22 EndRoot ft
StartRoot 33 EndRoot ft
StartRoot 57 EndRoot ft
StartRoot 65 EndRoot ft

Answers

Answer:

The last answer [tex]\sqrt{65}[/tex]

Step-by-step explanation:

[tex]7^2+4^2 = 65[/tex]

The formula to find it is [tex]a^2+b^2=c^2[/tex]

so [tex]\sqrt{65}[/tex] is correct

Answer:

√65 ft (Option D)

Step-by-step explanation:

This is Right Angled Triangle.

We'll solve this using the Pythagorean Theorem.

AC = 7ft which is the Base.

BC = 4 ft which is the Perpendicular.

AB is the Hypotenuse.

We know that,

[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} = (AC) {}^{2} + ( BC) {}^{2}}}[/tex]

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = (7) {}^{2} + ( 4) {}^{2}}}[/tex]

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 49 + 16}}[/tex]

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 65}}[/tex]

[tex]{ \longrightarrow \sf {\pmb {\qquad \: AB}}} = \pmb{ \frak{\sqrt{65}}}[/tex]

Therefore,

The length of the Hypotenuse (AB) is √65 ft

Find the value of the unknown angle x.


The diagram is not drawn to scale.

Please answer. Thank you!

Answers

Answer:

x = 40°

Step-by-step explanation:

This is a quadrilateral. A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.

The interior angles of a simple quadrilateral ABCD add up to 360 degrees of arc.

Answer:

Angle x = 40°

Step-by-step explanation:

All angles of any quadrilateral sum up to 360°.

So here, already measure of 3 angles are given.

So if we add up all angles + Angle x then it sums up to 360°.

So, the following steps will lead you to the answer:

73° + 157° + 90° + Angle x = 360°

(Now add up the measure of the three given angles)

320° + Angle x = 360°

(Now, through transposition moves 320° to the RHS) (Remember when transposing the signs change)

Angle x = 360° - 320°

Finally,

Angle x = 40°

Hope it helps!!!

Using the BOX and WHISKER above, what is the LOWER QUARTILE of the information?

Answers

Answer:

Lower Quartile is 8 according to the diagram.

Show that among all rectangles with area a the square has the minimum perimeter

Answers

Answer:

Step-by-step explanation:

Please help, I and I also need a thorough explanation, I don't understand this

Answers

Answer:

See below ↓

Step-by-step explanation:

Solve for x.

2.1.1

px + qx = ax (p + q) = ax = a / (p + q)

2.1.2

2x² - 5x + 2 = 02x² - 4x - x + 2 = 02x(x - 2) - 1(x - 2) = 0(2x - 1)(x - 2) = 0x = 1/2, 2

2.1.3

[tex](\frac{1}{2} )^{3x+1}[/tex] = 32[tex]2x^{-3x-1} = 2^{5}[/tex]-3x - 1 = 5-3x = 6x = -2

I can only answer 3 questions together at maximum so kindly post the rest of your questions 3 at a time separately.

Hope this helped~

Answer:

x = a/(p+q)

x = 2 or x = 1/2

x = -2

m≤ -1 or m<4

-1 , 0 , 1 , 2 and 3.....................since : -1 ≥ m < 4.

x = -3 and y = 9.

Step-by-step explanation:

The first one is just making x to be the subject of the formula by factorising p and q. Then dividing both sides by (p + q).

px + qx = a........................... x (p + q) = a............divide sides by ( p+q) to get the expression.

Solve quadratically for the second one.

For the third one, apply the laws of indices to work out.

32 = ( 1/2)^-5..............so, ( 1/2)^3x + 1   = ( 1/2)^-5.......Drop the base numbers since they are common.

3x + 1 = -5.........then solve to get x as -2.

For the fourth one, we solve for m by separating it into 2.

the first one is: -11 ≤ 3m - 8.

the second one: 3m - 8 < 4

then solve like a normal equation but maintain the inequality signs.

For the integral values, you'll get them from the answers because the answers are a range

The last one you solve simultaneously either by substitution or elimination method.

HOPE THIS HELPS

The large rectangle below represents one whole.
What percent is represented by the shaded area?
%

Answers

Answer:

40%

Step-by-step explanation:

2/5 is shaded

100 divided by 5 is 20

2x20=40

Large Rectangle is divided into 5 equal parts.
So, each part = 1/5
Part that is shaded = 2/5
Percentage = (2/5)*100
= 2* 20
= 40%

answer question pls I will give brainliest

Answers

Answer:

6 x 4 x 4

Step-by-step explanation:

On Saturday, the temperature was
75.5°F. The temperature rose by
6°F on Sunday, then dropped by
3.5°F on Monday. Write an expression
to represent how the temperature
changed. What was the temperature
on Monday?

Answers

Answer:

78°F

Step-by-step explanation:

75.5°F on Saturday...

75.5 + 6 = 81.5 on Sunday

81.5 - 3.5 = 78°F on Monday

The expression that represents the temperature change is

N = L + 6°F + 3.5°F

The temperature on Monday is 85°F.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Temperature:

Saturday = L= 75.5°F ______(1)

Sunday = M = Rose by 6°F

M = L + 6 _____(2)

Monday = N = Dropped by 3.5°F

N = L + 6 - 3.5 _____(3)

The expression that represents the temperature change:

From (1), (2), and (3) we get

N = L + 6°F + 3.5°F

The temperature on Monday:

N = 75.5 + 6 + 3.5

N = 85°F

Thus,

The expression that represents the temperature change is

N = L + 6°F + 3.5°F

The temperature on Monday is 85°F.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

If RV=w and SU=w–30, what is the value of w?

Answers

Answer:

w = 60

Step-by-step explanation:

the midsegment SU is half the measure of side RV , then

SU = [tex]\frac{1}{2}[/tex] RV , so

w - 30 = [tex]\frac{1}{2}[/tex] w ( multiply through by 2 to clear the fraction )

2w - 60 = w ( subtract w from both sides )

w - 60 = 0 ( add 60 to both sides )

w = 60

please help i am confused.

Answers

Answer:

87.5 percent

Step-by-step explanation:

80 passed the first, 70 passed the second. 7/8 passed both. 7/8 as a percentage is 87.5.

Answer:

C. 87.5%

Step-by-step explanation:

[tex]P(A|B)[/tex]

this is what you are trying to find.

P(A | B) can be found by dividing the percentage who passed both, by the percentage who passed the first.

70/80 = 0.875

multiply by 100 to get percentage instead of decimal

87.5

For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid?

|323

Answers

Answer:

its 323 so you were right :) if 323 is your answer lol

Step-by-step explanation:

abs(T-50)=323 Where T is in degrees Kelvin.

abs () means absolute value.

So T=323 plus or minus 50

how many solutions are there to the system of equations graphed below if the lines are parallel

Answers

Answer:

your answer would be zero

Step-by-step explanation:

Parllel lines never crosses or intercept, which means they have 0 solutions

There are 12 tomato plants for which 75 < h < 85
One of the tomato plants is selected at random.
Find an estimate for the probability that this tomato plant has a height greater than
82.5 cm

Answers

The histogram is an illustration of a discrete probability, and the probability that this tomato plant has a height greater than 82.5 cm is 0.40

How to estimate the probability?

The histogram is given such that the distribution of the plant heights is:

75 < h ≤ 85

To estimate the probability that this tomato plant has a height greater than 82.5 cm, we make use of the following formula

P(h >82.5) = P(85)

From the histogram, we have:

P(85) = 24/60

Evaluate

P(85) = 0.40

Substitute P(85) = 0.4 in P(h >82.5) = P(85)

P(h >82.5) = 0.40

Hence, the estimated probability is 0.40

Read more about probability at:

https://brainly.com/question/251701

The area of a circle is 144 in 2. What is the circumference, in inches? Express you answer in terms of pi.

Answers

Answer:

24π inches

Step-by-step explanation:

The area of a circle is denoted by: , where r is the radius. Here, we know that the area is A = , so we can plug this in to find r:

A = [tex]\pi r^{2}[/tex]

[tex]144\pi = \pi r^{2}[/tex]

[tex]r^{2}[/tex] = 144

r = 12

The circumference is denoted by: , where r is the radius. We've found the radius so just plug 12 in for r:

Thus, the circumference is 24π inches.

Hope this helps!

Correct Question :

The area of a circle is 144π in². What is the circumference, in inches? Express your answer in terms of pi.

[tex] \: [/tex]

Step-by-step explanation:

Before finding the circumference of the circle, we have to find the radius of it.

We already know that,

[tex] \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \pi r{}^{2} = \: \: Area_{(circle)}}}}}} \: \: \bigstar \\ \\ [/tex]

So, using this formula we'll find the radius and now we'll substitute the given values :

[tex] \longrightarrow \qquad{ \sf{ \pi \times r{}^{2} = \: 144 \pi }} \\ \\[/tex]

Cancelling π from both sides we get :

[tex]\longrightarrow \qquad{ \sf{ \cancel\pi \times r{}^{2} = \: 144 \cancel\pi }} \\ \\[/tex]

[tex]\longrightarrow \qquad{ \sf{ r{}^{2} = \: 144 }} \\ \\ [/tex]

[tex]\longrightarrow \qquad{ \sf{ r{}^{} = \: \sqrt{144} }} \\ \\ [/tex]

[tex]\longrightarrow \qquad{ \sf{ \pmb{ r{}^{} = \: 12 }}} \\ \\ [/tex]

So,

The radius of the circle is 12 inches.

[tex] \\ [/tex]

Now we'll find the circumference of the circle :

[tex] \\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\ [/tex]

Now, we'll substitute the required values in the formula :

[tex] \\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times \pi \times 12}}} \: \: \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 12 \pi }}} \: \: \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \sf{ \pmb{ \: \: Circumference_{(circle)} = 24 \pi }}}} \: \: \\ \\ [/tex]

Therefore,

The circumference of the circle is 24π inches

Please help 10 POINTS!!!

Answers

(-5,-1)

Would be ur answer!!

Hope u have a great day beautifulll

Step-by-step explanation:

[tex]y = 5x \\ y = 9x + 4 \\substitute \:y = 5x \: to \: the \: other \: equation \\ y = 9x + 4 \\5x = 9x + 4 \\ 5x - 9x = 4 \\ - 4x = 4 \\ x = \frac{4}{ - 4} \\ x = - 1[/tex]

Actually help PLSS
(will give brainliest)

Answers

Let's see point E in its original position: (3.-4)

Now lets transform the point (x,y) -->  (x + 8, y +5)

   

               (3, -4) --> (3 + 8, -4 + 5) --> (11, 1)

Therefore coordinate E's new position is (11, 1)

Hope that helps!

             

Mary has $311.75 to convert into yen. the currency exchange she is using charges a surcharge of 6% when converting currency. about how many more yen will mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate? a. ¥1,125 b. ¥1,513 c. ¥1,609 d. ¥1,706

Answers

Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than that of the least favorable exchange rate.

What is the exchange rate?

It is the factor by which currency conversion of two countries is done.

The most Favorable day is Friday because the exchange rate on Friday is the highest.

So, Mary will receive on Friday= 311.75 x 92.7120 x 94/100

Mary will receive on Friday(a)=27168.788 Yen

The least Favorable day is Wednesday because the exchange rate on Wednesday is the least.

So, Mary will receive on Wednesday= 311.75 x 87.5507 x 94/100

So, Mary will receive on Wednesday(b)= 25,656.2949 Yen

Difference between (a) and (b) = 1512.4931 Yen

Hence, Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate.

To get more about the exchange rate visit:

https://brainly.com/question/1366402

HELP MEEEEEEEEEEEEEEEE

Answers

Surface area formula : B x H
So multiply 6 1/2 x 10 4/5

The answer is 351/5 or 70.5

Which is an equation of the parabola that intersects the x-axis at points (-1, 0) and (3, 0)? Show your work or explain how you determined your answer. A. y = x2 + 2x - 3 B. y = x2 + 3x + 2 C. y = x2 - 2x - 3 D. y = x2 - 3x + 2

Answers

Answer:

[tex]\displaystyle \large{y=x^2-2x-3}[/tex]

Step-by-step explanation:

The given points are (-1,0) and (3,0) to find an equation of parabola. Notice that they say or the given points are x-intercepts, which means they make it easier for us to find an equation of parabola using these x-intercepts.

Quick Note:

x-intercepts are simply the roots or solutions of quadratic equation, so if our root is x = -2 then we can write as (-2,0) and write back to x+2=0.

So what we are going to do is to write the roots’ equation back as [tex]\displaystyle \large{x+\alpha =0}[/tex]

Our points or roots are given, therefore:

If x = -1 then x+1=0

If x = 3 then x-3=0

Then multiply x+1 with x-3 because if (x-1)(x+3)=0 then x-1=0 or x+3=0:

[tex]\displaystyle \large{(x+1)(x-3)=0}[/tex]

Convert 0 to y since we want to find a function:

[tex]\displaystyle \large{(x+1)(x-3)=y}\\\displaystyle \large{y=(x+1)(x-3)}[/tex]

Expand the expressions in and simplify to standard form:

[tex]\displaystyle \large{y=x^2-3x+x-3}\\\displaystyle \large{y=x^2-2x-3}[/tex]

Therefore, the equation is [tex]\displaystyle \large{y=x^2-2x-3}[/tex]

__________________________________________________________

Summary

If we are given the points [tex]\displaystyle \large{(\alpha ,0)}[/tex] and [tex]\displaystyle \large{(\beta ,0)}[/tex] with wideness of the graph or a-value = 1 then the parabola equation is:

[tex]\displaystyle \large{y=(x-\alpha )(x-\beta )}\\\displaystyle \large{y=x^2-\beta x-\alpha x+\alpha \beta }\\\displaystyle \large{y=x^2-(\beta +\alpha )x+\alpha \beta }[/tex]

__________________________________________________________

Others

If you have any doubts about my answer, explanation or this question, do not hesitate to let me know in the comment!

Solve for X. Leave your answer in the simplest radical form.
Image down below!
Someone please help me with this, I’ll give you brainlist and points!

Answers

Answer is 2 root 5

I used the Pythagorean theorem starting with the first triangle and using that answer to figure out the second, revealing x.

Answer:

√20 which can be written as 2√5

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