y= -3(x-3)^2+4 identify the axis of symmetry.

Answers

Answer 1

Answer:

The equation of the axis of symmetry is x = 3

Step-by-step explanation:

Perform the indicated mult., obtaining:

y = 3(x² - 6x + 9) + 4.

Mult. each term inside parentheses by 3, we get:

y = 3x² - 18x + 27 + 4, or

y + 3x² - 18x + 31

Here the coefficients are a = 3, b = -18 and c = 31.

The axis of symmetry is x = -b / (2a), which here is:

      -(-18)

x = ----------- = 18/6 = 3

       2(3)

The equation of the axis of symmetry is x = 3

Answer 2

ANSWER

x=3

EXPLANATION

The given function is

[tex]y= -3(x-3)^2+4[/tex]

This function is of the form.

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

This is called the vertex form.

The axis of symmetry is given by

[tex]x = h[/tex]

By comparing to

[tex]y= -3(x-3)^2+4[/tex]

a=-3, h=3 and k=4

Hence the axis of symmetry is x=3


Related Questions

What is the measure of the missing angle?
60°
80°
100
180°

Answers

80. this is bc the triangle must add up to 180 and 60+40=100

Answer: 80

Step-by-step explanation:

Which of the following is true about the expression radical 3 times radical 12



Answers

There is nothing here, but I do know that the answer is 6⃣.

Answer:

It represents the product of two irrational numbers and is equivalent to a rational number.

If the perimeter of a square garden is 84 ft, what is the area of the garden?

Answers

Answer:

Step-by-step explanation:

7056

express 0.009238 to 3 significant figures​

Answers

The number 0.009238 is expressed correctly to 3 significant figures as 0.00924

To express 0.009238 to 3 significant figures, we need to consider the first three non-zero digits from the left.

Identify the first three non-zero digits from the left: 9, 2, and 3.

Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the last significant figure.

Therefore, the number rounded to 3 significant figures is 0.00924.

The complete question is : express 0.009238 to 3 significant figures​

If DEF is similar to PRY, what is the measure of PY?

Answers

9 ÷ 6 = 1.5

12 ÷ 8 = 1.5

therefor 1.5 is the scale factor.

which means that 16 × 1.5 would give you your answer of 24.


if you have any questions just ask :)

The measure of PY is 24 centimeters, found using the properties of similar triangles and the correct option is C.

To solve this problem, we can use the following steps:

Identify the corresponding sides of the two similar triangles.

Write down the proportion for the corresponding sides of the two triangles.

Cross-multiply to solve for the unknown side.

In this case, the corresponding sides of the two triangles are:

AD = AP

DE = PR

EF = RY

We can write down the following proportion:

AD/DE = AP/PR

We know that AD = 6 cm and AP = 16 cm. We also know that PR = 8 cm. We can substitute these values into the proportion and solve for DE:

6/DE = 16/8

DE = 6 * 8 / 16

DE = 3 cm

Now that we know the length of DE, we can use the following proportion to solve for PY:

DE/EF = PR/PY

3/9 = 8/PY

PY = 8 * 9 / 3

PY = 24 cm

Therefore, the measure of PY is 24 centimeters.
So, the correct option is C.

For such more questions on triangles

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Elvaluate b^-3 for b=3
A. 27
B. 1/9
C. 1/27
D. -27

Answers

Answer:

C

Step-by-step explanation:

Using the rule of exponents

• [tex]b^{-m}[/tex] ⇔ [tex]\frac{1}{b^{m} }[/tex], thus

[tex]3^{-3}[/tex] = [tex]\frac{1}{3^{3} }[/tex] = [tex]\frac{1}{27}[/tex] → C

Answer: C 1/27

b^-3 and b=3

So we have 1/b^3= 1/3^3= 1/27

Is it related, does it have neither or neither?

Answers

The answer should be function

The equation 2x = 3y - 5 when written in slope-intercept form is:

Answers

Answer:

y=2/3x+5/3

Step-by-step explanation:

The equation written in slope intercept form will be y = (2/3)x + 5/3.

What is the slope intercept form?

When you know the slope of the line (m) to be investigated and the point of y-intercept (0,c) is also given, you utilize the slope intercept formula.

Slope intercept formula:

y = mx + c

m is the slope

c is the y intercept

Given equation in the question is

2x = 3y - 5

3y = 2x + 5

y = (2/3)x + (5/3)

Now if we compare this equation to slope intercept form we will get m = 2/3 and c = 5/3.

Hence the slope intercept form of the equation is y = (2/3)x + (5/3).

Learn more about slopes on:

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Help on this question

Answers

The answer is the third one

The answer is C it’s pretty easy

After selling some lemonade and cookies, Vivian and her brother Gil had 7-one dollar bills, 8 quarters and 6 dimes.They agreed to divide the money equally. What is the total amount of money that Vivian and Gil earned? Explain.

Answers

Answer:

They earned $9.60 they will each get $4.80. Give or take.

Step-by-step explanation:

9.60÷2=4.80

Please help!!! Is this correct????

Answers

Answer:

yes

Step-by-step explanation:

Weight appears to be the independent variable, so will be graphed on the horizontal axis. Cost is the dependent variable, so will be graphed on the vertical axis.

23. How many solutions are there to the system of equations below?

y = x2 + 3x – 7
y – 5x + 8 = 0

A. There are exactly 4 solutions
B. There are exactly 2 solutions
C. There is exactly 1 solution
D. There are no solutions.

Answers

D

When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.

Answer:

There are exactly 4 solutions

Step-by-step explanation

Given the two equation

y = x² + 3x – 7 ... (1)

y – 5x + 8 = 0 ...(2)

From equation 2,

y - 5x = -8

y = -8+5x ...(3)

Substituting equation 3 into 1

-8+5x = x²+3x-7

Moving -8+5x to the other side of the equation, we have:

x²+3x-7+8-5x = 0

x²+3x-8x-7+8= 0

x²-5x+1 = 0

Since the resulting equation is quadratic, we will get two solutions as our x and substituting both value of x in equation 2 to get y will give us two solutions for our y variable making a total of 4 solutions.

Therefore in the system of equation given, there are exactly 4 solutions

What is 40.99 times 2.1

Answers

Answer:

86.079

Step-by-step explanation:

40.99*2.1

The Answer Is 86.079.

Which triangle always has 1 right angle and 2 sides the same length?
a. acute isosceles
B. right isosceles
c. right equilateral
D. acute scalene

Answers

Answer:

The Answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Isosceles tells you that two sides of a triangle (in this case) are equal. The two non hypotenuse sides are both the same size. Each of the angles opposite the equal sides are equal and are 45o.

A right angle takes up the other 90o.

10011 lower 2 x 11 lower 2 ?

Answers

ANSWER

[tex] 10011_{2} \times 11_{2}= 111001_{2}[/tex]

EXPLANATION

We want to multiply:

[tex] 10011_{2} \times 11_{2}[/tex]

in base 2

One can choose to convert everything to base 10

This gives 19×3=57

We then convert 57 to base two to get

[tex]57 = 111001_{2}[/tex]

Or perform the multiplication in base 2 straight forward.

10011

× 11

10011

+10011

111001

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

[tex]10011_{2} \times 11_{2} = 111001_{2}[/tex]

Can you help me please

Answers

The answer to this question is 10. The working out is shown in the image attached.

*** Sorry instead of writing 170 I wrote 270 for the big angle.. other than that it's correct

or another way to solve this is....

we know that a straight line is 180 degrees and the angle APD is 170 all we need to do is subtract 170 from 180 to get the answer of DPB

Hope this helped

Which reaction takes place in a nuclear fission reactor?

Image below

Answers

Answer:

The reaction that takes place in a nuclear fission reactor is answer D.

Step-by-step explanation:

Nuclear fission reactions involves the process by which large atomic nuclei are bombarded with energetic particles and release of an enormous amount of nuclear energy, which  mainly ends up as heat energy.

So now, consider the nuclear reaction from D, after the uranium nucleus absorbs the neutron its split into two smaller nuclei (often radioactive themselves), Krypton and Barium and releases more neutrons (or energy).

Parallelogram CARD has vertices (5, -2), (-1, -2), (1, 2), and (7, 2), respectively. The diagonals, CR and AD intersect at Point T. What is the length of CT? What is the length of DT?

Complete your work in the space provided or upload a file that can display math symbols if your work requires it. If necessary, round lengths to the nearest hundredth of a unit.

Answers

Answer:

a) T(3,0)

b) |CT|=2.83

c) |DT|=4.47

Step-by-step explanation:

The given parallelogram CARD has vertices (5, -2), (-1, -2), (1, 2), and (7, 2)

The diagonals of a parallelogram bisect each other.

Find the midpoint of one diagonal, that gives us the point of intersection of the diagonals T.

The midpoint of C(5,-2) and (1,2) is

[tex]T(\frac{5+1}{2},\frac{-2+2}{2}  )[/tex]

[tex]T(3,0)[/tex]

b) To find the length of CT, we use the distance formula; where C(5,-2) ahd T(3,0).

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(3-5)^2+(-2-0)^2}[/tex]

[tex]d=\sqrt{4+4}[/tex]

[tex]d=\sqrt{8}[/tex]

[tex]d=2\sqrt{2}=2.83[/tex]

The length of CT is 2.83 to the nearest hundredth

c) To find the length of DT, we use the distance formula; where D(7,2) ahd T(3,0).

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(3-7)^2+(2-0)^2}[/tex]

[tex]d=\sqrt{16+4}[/tex]

[tex]d=\sqrt{20}[/tex]

[tex]d=2\sqrt{5}=4.47[/tex]

The length of DT is 4.47 to the nearest hundredth

If you put $2,000 into an interest bearing account, where interest is compounded quarterly (4 times a year) at 6%, how long will it take for your money to triple?

Answers

Answer:

[tex]18.4\ years[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=?\ years\\ P=\$2,000\\ r=0.06\\n=4\\A=\$6,000[/tex]  

substitute in the formula above  

[tex]\$6,000=\$2,000(1+\frac{0.06}{4})^{4t}[/tex]  

[tex]3=(1.015)^{4t}[/tex]  

Applying log both sides

[tex]log(3)=4tlog(1.015)[/tex]  

[tex]t=log(3)/[4log(1.015)][/tex]  

[tex]t=18.4\ years[/tex]  

If f(x) = 2x – 1 and g(x) = x2 – 3x - 2, find (f + g)(x).
O
A. (f+ g)(x) = -x-3

B. (f + g)(x) = x2 - x - 3

C. (+ g)(x) = x + 5x + 3

D. (f+ g)(x) = x-3
15​

Answers

Answer: Option B

[tex](f + g)(x)=x^2 - x - 3[/tex]

Step-by-step explanation:

In this problem we have the function

[tex]f(x) = 2x - 1[/tex]

and the function

[tex]g(x) = x^2 - 3x - 2[/tex]

They ask us to perform the operation:

[tex](f + g)(x)[/tex]

Therefore we must perform the algebaic summa of the function f plus the function g

[tex](f + g)(x)=f(x) + g(x)[/tex]

[tex](f + g)(x)=2x - 1 + x^2 - 3x - 2[/tex]

Now we siplify the expression

[tex](f + g)(x)=x^2 - x - 3[/tex]

8 + 4 - 3 using pemdas

Answers

Answer:

You can alternatively apply PEMDAS as schools do today: Simplify everything inside the parentheses first, then exponents, then all multiplication and division from left to right in the order both operations appear, then all addition and subtraction from left to right in the order both operations appear.

Step-by-step explanation:

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete.

so 8+4 =12 12-3=9

the correct answer would be 9

Need help I don’t know what there saying

Answers

Answer:

I think they want you to put a closed circle on top of far going to the left. I'm not sure though :)

Answer:

that is not the correct graph of the solution

It would be 5 with an arrow pointing to the right. With an open circle

Step-by-step explanation:

It would not be filled in because 4 is not greater than or equal to x it is greater than. The arrow would point to the right because those are all the options for the solution, there are multiple.

Write an equation of the direct variation that includes the point (5,1)

Answers

Answer:

y = 1/5k

Step-by-step explanation:

y = kx

1= k(5)

1/5 = l

Please help me with the first one

Answers

Answer:

5:3

Step-by-step explanation:

it would be 5:3 because it is the ratio of consonant to vowels

the median of the data set is 18 what number is missing 12,17,21,13,25

Answers

Answer:

19

Step-by-step explanation:

How much ice cream can fit in a chocolate cone with a height of 7 inches and a diameter of 4 inches?

87.92in^3 or 29.3in^3

Answers

Answer:

29.3 in³

Step-by-step explanation:

1. Volume of cone: V = ¹/₃ * πr²h

2. Find r: r = d/2 = 4/2 = 2 in

3. Plug in: V = ¹/₃ * π(2)²*7

4. Powers: V = ¹/₃ * π * 4 * 7

5. Multiply: V = ²⁸/₃π in³ ≈ 29.3 in³ (excluding outside of the cone)

Final answer:

Approximately 29.3 cubic inches of ice cream can fit in the chocolate cone.

Explanation:

To find the amount of ice cream that can fit in a chocolate cone, we need to calculate the volume of the cone. The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius (half the diameter) of the base of the cone and h is the height of the cone. In this case, the diameter is 4 inches, so the radius is 2 inches. The height of the cone is 7 inches. Plugging these values into the formula, we get V = (1/3)π(2^2)(7) = (4/3)π(7) = 28/3π ≈ 29.3 cubic inches. Therefore, approximately 29.3 cubic inches of ice cream can fit in the chocolate cone.

The area of a rectangle is x^2-5x+6 Which of the following could be one of the dimensions?
A)(x + 3)
B)(x - 2)
C)(x - 1)
D)(x + 6)

Answers

Answer:

B)(x - 2)

Step-by-step explanation:

Given that the area of a rectangle is [tex]x^2-5x+6[/tex].

Now we need to find about which of the given choices could be one of the dimensions. Where given choices are:

A)(x + 3)

B)(x - 2)

C)(x - 1)

D)(x + 6)

We know that area of rectangle = (length) x (width)

So basically we need to factor the given area of rectangle to find the corresponding dimensions.

[tex]x^2-5x+6[/tex]

[tex]=x^2-2x-3x+6[/tex]

[tex]=(x-2)(x-3)[/tex]

Hence B)(x - 2) is the correct choice.

Answer:

x-2

Step-by-step explanation:

How does your cosine graph change when including the d-value?

Answers

Answer:

Changing value of "d" changes the vertical shift of the cosine graph.

Step-by-step explanation:

Question says to find about how does your cosine graph change when including the d-value.

General equation of cosine function can be given as:

[tex]y=a\cdot\cos\left(bx-c)\right)+d[/tex]

In that formula, value of  "d" gives vertical shift.

So changing value of "d" changes the vertical shift of the cosine graph.

Which time is faster 2/3, 11/12, 5/6 or 7/12

Answers

Answer:

Correct choice is 11/12.

Step-by-step explanation:

Given numbers are 2/3, 11/12, 5/6 and 7/12.

Now we need to find about which time is faster among 2/3, 11/12, 5/6 and 7/12.

To find that we need to make denominators equal.

2/3, 11/12, 5/6, 7/12

Common denominator is 12 so let's multiply by suitable numbers to get equal denominator.

8/12, 11/12, 10/12, 7/12

Now we see that largest numerator is 11.

Hence correct choice is 11/12.

Answer:

11/12 is the answer

Step-by-step explanation:

Vicky earned $30 for washing 6 cars if Vicky charges at the same rate how many hours will it take for her to earn three $35​

Answers

$7

30 divided by 6 is 5, then you take that 35 and divide it by the 5and you will end up with $7

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