Please help meee with number ten plzzzzzz!!!!

The quadratic function given when converted to vertex form will be: [tex]f(x) = 2(x-11)^2 -57[/tex]

If a quadratic equation is written in the form

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

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

For this case, the given quadratic function is:

[tex]f(x) =2x^2 -44x + 185\\[/tex]

Converting this to the vertex form, we get:

[tex]f(x) =2x^2 -44x + 185\\\\f(x) = 2(x^2 -22x) + 185\\f(x) = 2(x^2 -2 \times 11 \times x + 11^2 - 11^2) + 185\\f(x) = 2((x-11)^2 -121) + 185\\f(x) = 2(x-11)^2 -242 + 185\\f(x) = 2(x-11)^2 -57[/tex]

Thus, the quadratic function given when converted to vertex form will be: [tex]f(x) = 2(x-11)^2 -57[/tex]

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Answer:

54

Step-by-step explanation:

Answer:

W=2

Step-by-step explanation:

Let's solve your equation step-by-step.

3w+4w=14

Step 1: Simplify both sides of the equation.

3w+4w=14(3w+4w)=14

(Combine Like Terms)7w=14/7w=14

Step 2: Divide both sides by 7.

7w7=14/7

Your answer comes out at, w=2

If u need some more help just comment down below and ill try to help u some more:p

Answer:

388. If you need any more help let me know. Also if you googled that you would have gotten the same answer.

Step-by-step explanation:

Answer:

the answer is 388

Step-by-step explanation:

107+88+193=388

Hey there!

p^2 - q

= 3^2 - -4

= 9 - -4

= 9 + 4

= 13

Therefore, your answer is: 13

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

60

Step-by-step explanation:

Answer:

350 + 15x = 275 + 20x where x = 15

Step-by-step explanation:

350 + 15x = 275 + 20x

350 - 275 = 20x - 15x

75 = 5x

75/5 = 5x/5

15 = x

350 + 15(15) = 275 + 20(15)

350+225 = 275+300

575 = 575

Answer:

m = 5/2

Step-by-step explanation:

use the slope intercept form y = mx + b to find the slope which is m

hope this helps

have a great day- TJ

Slope of the line parallel to 15x - 6y = 64 is [tex]\frac{3}{2}[/tex]

What is slope of a line?

Slope of a line is the tangent of the angle which the line makes with the

positive direction of x axis

If [tex]\theta[/tex] is the angle which the line makes with the positive direction of x axis, then slope of the line is given by

[tex]m = tan\theta[/tex]

If the line passes through ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex])

slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

[tex]15x - 6y = 64\\6y = 15x -64\\y = \frac{15}{6}x - \frac{64}{6}\\y = \frac{3}{2}x - \frac{32}{3}\\[/tex]

Slope of this line = [tex]\frac{3}{2}[/tex]

Slopes of two parallel lines are same

Slope of the line parallel to the above line =  [tex]\frac{3}{2}[/tex]

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Answer:

170 kids

368 adults

Step-by-step explanation:

Answer:

-9/2

Step-by-step explanation:

To make a slope perpendicular, you must find the slope in a y = mx+b format where the slope is easy to find. Add 2x to the opposite side and then divide the entire right side of the equation by 9 to get y = 2/9x +8/9. A perpendicular slope is just a negative reciprocal of the slope, so make 2/9 negative and flip around the numerator and denominator to get a perpendicular slope of -9/2. Hope that helps!

Answer:

$444.44

Step-by-step explanation:

Let the monthly budget of Edward family be $x.

-> 18% of x = 800

-> 0.18x = 800

-> x = 800/0.18

-> x = 444.44

Thus, the monthly budget of Edward family is $444.44.

Answer:

u = 56

Step-by-step explanation:

the midsegment QS is half the length of the third side PT , that is

QS = [tex]\frac{1}{2}[/tex] PT ( substitute values )

u - 28 = [tex]\frac{1}{2}[/tex] u ( multiply through by 2 to clear the fraction )

2u - 56 = u ( subtract u from both sides )

u - 56 = 0 ( add 56 to both sides )

u = 56

Using proportions, it is found that she must sell each necklace for at least $5.80 in order to make a profit of at least $250.

A proportion is a fraction of a total amount

In this problem, it costs her $40 to make 50 necklaces. She wants a profit of at least $250, hence the 50 necklaces should sell for at least $250 + $40 = $290.

Hence, the minimum price for each one is given by:

$290/50 = $5.80.

She must sell each necklace for at least $5.80 in order to make a profit of at least $250.

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Answer:

19.63 in2

Step-by-step explanation:

2.5 squared is 6.25. Then you times it by 3.14 giving you 19.625 rounded to 19.63. Hope this helps!

|| ▼ Answer ▼ ||

8 is correct!

|| ✪ Solution ✪ ||

[tex]g(x)=2x^{2}-8x+1[/tex]

Vertex of f(x) is:

[tex](x,y)=(2,1)[/tex]

Graph of g(x) is attached :

Vertex of g(x) is:

[tex](x,y)=(2,-7)[/tex]

Y- value of vertex f(x) subtract from Y-value of g(x)

[tex]=1-(-7)[/tex]

[tex]=1+7[/tex]

[tex]1+7=8[/tex]

Hope this Helps!

If you have any queries please ask.

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

Work Shown:

First find f(2)

f(x) = 3x-1

f(2) = 3(2)-1 ... replace every x with 2

f(2) = 6-1

f(2) = 5

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

The equation g(x) = f(2) is the same as g(x) = 5 since f(2) = 5

g(x) = 2x-3

5 = 2x-3 .... replace g(x) with 5

2x-3 = 5

2x = 5+3 ... add 3 to both sides

2x = 8

x = 8/2 .... divide both sides by 2

x = 4

The value of x that satisfies the equation g(x) = f(2) is x = 4.

A relation is a function if it has only One y-value for each x-value.

We are given two functions f(x) and g(x), and we need to find the value of x that satisfies g(x) = f(2).

We know that f(x) = 3x - 1, so f(2) = 3(2) - 1 = 5.

Therefore, we need to find the value of x that makes g(x) equal to 5.

Setting g(x) equal to 5, we get:

2x - 3 = 5

Add 3 to both sides.

2x = 8

Divide both sides by 2:

x = 4

Therefore, the value of x that satisfies the equation g(x) = f(2) is x = 4.

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Answer:

110

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I think it is 13%

Step-by-step explanation:

I think this since there are 100 Square Units so if there are 13 shaded it would be [tex]\frac{13}{100}[/tex] which equals to 13%

IF THIS IS WRONG IM SOO SUPER DUPER VERY SORRY

Answer:

The slope is -3/4 or -0.75

Step-by-step explanation:

You can solve this using the slope of a line formula:

[tex]m=\frac{rise}{run}=\frac{y_{2}-y_1 }{x_2-x_1}[/tex]

m = slope

[tex](x_1,y_1)[/tex] = coordinates of first point in the line

[tex](x_2,y_2)[/tex] = coordinates of second point in the line

Now all you have to do is plug your numbers in and solve!

Answer:

637/1000

Step-by-step explanation:

Hopes this helps

Answer:

This is undefined because the slope is 3/0, and you can't divide by 0

The answer is  D, both a and b.

Identification is sincerely defined as the characteristics of figuring out who or what a person or component is. Factors or traits of identification might encompass race, ethnicity, gender, age, physical attributes, personality, political affiliations, spiritual beliefs, professional identities, and so forth.

Personal identity is ready the way you see yourself as “different” from the ones around you. Pastimes, education, pursuits, character developments, and so forth. preferred meals, the roles you maintain—“I am the oldest in my own family.” These are the matters that make you particular from different humans.

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Answer:

-5(2x-3)+2x = -10x+15

-10x+15+2x= -10x+15

-12x+15 = -10x+15

-12x-(-10x):= -15+15

=2 ans

The distance that Ellie ran each afternoon is 5.5 miles for a whole week.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the distance that Ellie ran each afternoon, since she ran 24 miles, hence:

3(2.5 + x) = 24

7.5 + 3x = 24

x = 5.5 miles

The distance that Ellie ran each afternoon is 5.5 miles for a whole week.

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Answer:

1) 12.8cm

2) 3.125km

Step-by-step explanation:

1) 8cm = 5km

1km= 8/5

1km = 1.6cm

8km = 8*1.6

8km = 12.8cm

2) 8cm = 5km

1cm = 5/8

5cm = (5*5)/8

5cm= 25/8

5cm= 3.125km

Answer:

1) 12.8cm

2) 3.125km