If Willie does this (equation in image) correctly, what is the value of k?

If Willie Does This (equation In Image) Correctly, What Is The Value Of K?

Answers

Answer 1

Quadratic equation has a leading degrees of 2. The correct equation in vertex form is (x - 3)^2 + 5

Vertex form of a quadratic equation

Quadratic equation has a leading degrees of 2.

Given the quadratic function expressed as:

f(x) = x^2 - 6x + 14

Complete the square

x^2 - 6x + (-3)^2 - (-3)^2 + 14

(x- 3)^2 - 9 + 14
(x - 3)^2 + 5

Hence the correct equation in vertex form is (x - 3)^2 + 5

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Related Questions

If 10% of a number is 16, find 5% of that number.

Answers

Answer:

5% = 8

Step-by-step explanation:

Since 10% of a number is 16, multiply that by 10 to get 160. In order to get 5%, divide 10% (16) by 2 to get 8, which is 5% of 160.

A conservationist determines that a particular beach is eroding at a rate of 1.1% each year. when writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio? 0.011 0.089 0.989 1.011

Answers

Using exponential function concepts, it is found that the common ratio would be given by 0.989.

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.1 - r, also as a decimal, is the common ratio.

In this problem, the amount decays 1.1% a year, hence:

r = 0.011.1 - r = 1 - 0.011 = 0.989.

The common ratio would be given by 0.989.

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Answer: C

Step-by-step explanation:

Trust

The table shows the ratio of people who ate a certain type of lunch to the total number of people who ate lunch. Lunch Type of Lunch Ratio to the Total Turkey sandwich 1 3 1 Vegetarian sandwich 6 4. Chicken sandwich 15 Salad 7 30 A total of 840 people ate lunch. Which statement is true? A Half as many people ate a turkey sandwich as ate a vegetarian sandwich. B One-fourth as many people ate a vegetarian sandwich as ate a salad. C There were 56 more people who ate a turkey sandwich than ate a chicken sandwich. с D There were 28 more people who ate a salad than ate a chicken sandwich.​

Answers

Using proportions, it is found that the correct statement is given by:

C There were 56 more people who ate a turkey sandwich than ate a chicken sandwich.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, one third out of 840 people ate Turkey Sandwich, hence the number is given by:

nT = 840/3 = 280.

One sixth ate Vegetarian Sandwich, hence the number is given by:

nV = 840/6 = 140.

4/15 ate Chicken Sandwich, hence the number is given by:

nC = 4 x 840/15 = 224.

7/30 ate Salad, hence the number is given by:

nS = 7 x 840/30 = 196.

Thus, option C is correct.

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A square has an area of square inch what is [tex]18x^{2}[/tex] the length of one of its sides

Answers

Answer:

18x

Step-by-step explanation:

18x times 18x

so the side is 18x because it was squared

Help please! Thank you

Answers

Answer:

A I might be wrong do

Step-by-step explanation:

pls help i will give brainliest and 5 stars

Answers

Answer:

See attached diagram

Step-by-step explanation:

See attached picture....I assumed -3% was really just -3

Guys, I beg you! How do you do these factoring quadratic equations!

Which is a solution to (x − 2)(x + 10) = 13

Answers

times the x’a together and x*10 then 2*x and 2*10
Answers:  x = -11 and x = 3

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

Explanation:

There are at least three ways to solve this.

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

Method 1:

We could graph y = (x-2)(x+10) using a tool like Desmos. Graph y = 13 as well which is a horizontal line.

Check out the screenshot shown below.

The parabola in red and the horizontal line in blue intersect at the locations (-11, 13) and (3, 13)

We only focus on the x coordinates of the intersection points.

Therefore, the two solutions are x = -11 and x = 3

The order of the solutions doesn't matter.

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

Method 2:

Expand things out and get everything to one side

(x-2)(x+10) = 13

x^2 + 10x - 2x - 20 = 13

x^2 + 8x - 20 - 13 = 0

x^2 + 8x - 33 = 0

From here we can use the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-8\pm\sqrt{(8)^2-4(1)(-33)}}{2(1)}\\\\x = \frac{-8\pm\sqrt{64+132}}{2}\\\\x = \frac{-8\pm\sqrt{196}}{2}\\\\x = \frac{-8\pm14}{2}\\\\x = \frac{-8+14}{2} \ \text{ or } \ x = \frac{-8-14}{2}\\\\x = \frac{6}{2} \ \text{ or } \ x = \frac{-22}{2}\\\\x = 3 \ \text{ or } \ x = -11\\\\[/tex]

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

Method 3:

Instead of using the quadratic formula, we could factor.

To factor x^2+8x-33, we need to find two numbers that

Multiply to -33Add to 8

Through trial and error, you should get 11 and -3

11 times -3 = -3311 plus -3 = 8

So,

x^2+8x-33 = 0

(x+11)(x-3) = 0

x+11 = 0 or x-3 = 0

x = -11 or x = 3

The ratio of width to length for an American flag is 10 to 19. How wide is a flag that is 66 cm long

Answers

Answer:

35cm

Step-by-step explanation:

The ratio of width:length is 10/19. Since the given length is 66cm long, we multiply by the ratio to get 66 x 10/19 = 34.7 = 35cm

OMG PLS HELP ME!!!!! WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

I made the added things green so you can understand better what I did to get the right answer. If you have any questions you may text me

Answer:
1. 62 ( 8X8 ) -2
2. 13 ( 10 + 3)
3. 6  ( 4 + 2 )
4. 18 (22 - 4)
5. 3  ( 6/2)
6. 14 (7+7)

Step-by-step explanation:

Next question pls !
It just plain simple add , multiplication , division and subtraction

Pls Do what as you written ! Mark me as Brainly for 100% correct !! Alr helped

Find the area of this circle. Use
3.14 for i.
72 in.
..
in.2
The area of the circle is about
(Round to the nearest hundredth as needed.)

Answers

Answer:

4,069.44 in squared

Step-by-step explanation:

pir^2

72/2 = 36

36^2 = 1,296pi

1,296*3.14 = 4,069.44

What is the mean of the data on the dot plot? ( Round to the nearest hundredth)

Answers

Answer: 100

Step-by-step explanation:

The volume of a right cone is 3975\piπ units^3 3 . If its radius measures 15 units, find its height.

Answers

If its radius measures 15 units. Then the height of the cone will be 53 units.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The volume of a right cone is 3975π cubic units.

If its radius measures 15 units.

Then the height of the cone will be

The volume of the cone is given as

Volume = 1/3 x π x r² x h

Then we have

3975π = 1/3 x π x 15² x h

 11925 = 225 x h

        h = 53 units

More about the geometry link is given below.

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Miriam has 2 yellow tea cups and 5 brown teacups. Which ratio compares the number of brown tea cups to the total number of teacups?

A. 5:2
B. 2 to 7
C. 5 to 7
D. 2/5
F. 5:7
D. 5/7

Answers

The answer is 5:2 ration, it's already fully simplified

Calculate the price of melons if melons cost $2.35 a pound and the melon on the scale weighs 2.2 pounds, making sure to round your answer to the nearest cent.

Answers

Hello I am shiba and I’m here to save you. From math horrors. The answer is 5.17 lol. Good luck!
Please mark brain gl bye

What is the first step when rewriting y = 3x2 + 9x – 18 in the form y = a(x – h)2 + k?
3 must be factored from 3x2 + 9x
x must be factored from 3x2 + 9x
9 must be factored from 9x – 18
3 must be factored from 3x2 – 18

Answers

Answer:

  (a)  3 must be factored from 3x^2 + 9x

Step-by-step explanation:

The first step when rewriting a quadratic from standard form to vertex form is to factor out the leading coefficient from the variable terms.

__

  y = 3x^2 +9x -18 . . . . . . given

  y = 3(x^2 +3x) -18 . . . . . leading coefficient factored out

  y = 3(x^2 +3x +2.25) -18 -3(2.25) . . . . . complete the square

  y = 3(x +1.5)^2 -24.75 . . . . . simplify to vertex form

Answer:

3rd one

Step-by-step explanation: I am pretty sure becuase the other ones don't sound right hope this helps :)

Which of these equations shows the correct relationship between x and y?
X+y = 90
x + y = 180
x=y
x + 50 = y

Answers

x+y=180
they are adjacent angles
x=50
y=130

help i need the answer

Answers

Answer:

Step-by-step explanation:

3(2x + 8) = 0 what is x

Answers

Answer: Heyaa!

The Answer, x= −4

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Hopefully this helps you~

- Matthew :)

have an amazing day <3

Answer:

X = - 4

Step-by-step explanation:

3(2x+8) =0

6x + 24 = 0

6x = 0 - 24

6x = - 24

X = - 24/6

X = - 4

Hope this helpssssss

Find the length of the hypotenuse

Answers

The answer is 13 cm

a = height , b= base ,c = hypotenuse

a^2 + b ^2 = c ^2 ( theorem of Pythagoras)
(12cm)^2+ (5cm)^2 = hypotenuse
144cm^2 + 25 cm ^3 = hypotenuse
169cm^2 = hypotenuse
Square toot of 169cm ^2 = hypotenuse
Answer : 13 cm = hypotenuse

Thirty-five students passed the test. If that’s 70% of the class how many students is in the class?

Answers

Answer:

50

Step-by-step explanation:

fr the question,

35 students----------------70%

x students-------------------100%

cross multiplying

x ×70 = 35×100

dividing bothsides by 70

x = 3500/70

x=50 students

therefore,

there are 50 students in the class

What is the volume of this cone?

Answers

Answer:

201.06193

Step-by-step explanation:

helpppppppppppppppppp 100 points

Answers

Answer:

Range = 4Mode = 3

Step-by-step explanation:

The range is the difference between the maximum and minimum values:

5 - 1 = 4

The mode is the most repeated value of the data set

This is 3 (repeated 5 times)

Answer:

I attached a screen shot of the answer

Step-by-step explanation:

The table shows the amount of money in your bank account over a period of 5
5
weeks. You plan to keep saving at the same rate until you have $800
$
800
in the account. Which equation could you use to find the number of weeks,
n
, it would take to reach your goal?

Math item stem image
CLEAR CHECK

100·=800
100
·
n
=
800



35·+100=800
35
·
n
+
100
=
800



100·+35=800
100
·
n
+
35
=
800



35·+800=100

Answers

The linear function that you could use to find the number of weeks it would take to reach your goal is:

35n + 100 = 800.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the table, we have that:

The intercept is the initial balance of 100.The slope is the rate of change of 35.

Hence the balance after n weeks is given by:

B(n) = 100 + 35n.

You will have $800 when B(n) = 800, hence the equation is:

35n + 100 = 800.

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Select the correct answer.
Which statement describes a relationship between these equations?
equation 1: y= 3x - 7
equation 2: y=-4x-7
O A.
The equations have the same y-intercept.
B.
The equations have the same slope.
OC.
Each equation represents a line that decreases from left to right.
OD.
Each equation represents a line that increases from left to right.

Answers

Answer:

A. Yes they do. Both equations have their opposing set of y-intercept. Where equation one has a y-intercept of +7, and equation two, +7.

B. No they do not. Equation one has a slope of +3, while equation 2 has a slope of -4.

C. Yes they do. Equation one represents that of a positive increasing graph, while equation two the opposite, decreasing.

Step-by-step explanation:

You can use the slope formula to identify and graph each equation simply by using y = mx + b. Where y is the the y coordinate, x is the x coordinate, m is the slope, and b is the y-intercept. With this you can start plotting by marking the y-intercept by putting the x as zero and seeing what number you get. In this case, 3x0-7 = -7. Meaning that would be the y-intercept. For the slope, depending on what the x coordinate is, that's how much the graph will increase or decrease whenever the x coordinate changes. Say the x coordinate is 1, so 3x1-7 = 3-7 = -4. Meaning your coordinate would be (1, -4) where you can keep doing this formula on and on to find the y coordinate for what x coordinate you want to find, or make it easier to graph with a ruler on paper once you have enough points.

(1+5²) –16 (1/2)³

Please help please and Thank you​

Answers

Answer:

the answer simplified is 24

Step-by-step explanation:

A cube has a surface area of 181.5sq. In. What is the length of the sides

Answers

Answer:

Answer = 5.5

Step-by-step explanation:

The formula for finding the surface area of a cube is SA = 6(s^2) where s = sides. Since we know the surface area we plug it in for SA. So,

181.5 = 6*s^2

Now we divide 6 by both sides to get

30.25 = s^2

Now we have to find the square root of both sides to get

5.5 = s

Hope that helps! :)

Jamal is painting his room. He determines that 1/2 gallon container of paint will cover 1/6 of a wall. How many gallons of paint are needed to cover an entire wall (assuming there are no windows or doors)? Enter your answer in the box below, do NOT include units.

Answers

Answer:

3 gallons

Step-by-step explanation:

1/6+1/6=2/6=1/3

1/3x3=3/3=1

50 points for whoever could someone please assist me with this question

Answers

The first step to the proof is ∠QRS + ∠STQ = 180°

What is a cyclic Quadrilateral?

A cyclic quadrilateral is a quadrilateral circumscribed by a circle in which all the vertices of the quadrilateral touch the circle.

Analysis:

Join line Qx and Sx together.

2∠QRS = reflex ∠QxS ( twice angle at the circumference is that at center)

2∠STQ = ∠QxS( twice angle at circumference is that at the center)

Also ∠QXS + reflex ∠QXS = 360(angle at a point)

2∠QRS + 2∠STQ = 360

2(∠QRS + ∠STQ) = 360

∠QRS + ∠STQ = 180°

In conclusion, ∠QRS + ∠STQ = 180°

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PLEASE HELP ASAP WILL GIVE BRAINLIEST AND 5 STARS

Answers

52/999 this is the answer ok bye

Someone help me I send a question on my profile
And this my question

Answers

Step-by-step explanation:

A=X AB=ZX

B=Z. AC=XY

C=Y. BC=YZ

Traingle BCA = Traingle ZYX

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