Write f(x) = 2x2 - 44x + 185 in vertex form.
To write f(x) = 2x2 - 44x + 185, factor out
from the first two terms.
Next, form a perfect square trinomial keeping the value of the function equivalent:
f(x) = 2622 - 22x + 121) + 185 - 242
The function written in vertex form is f(x) =
(x - 12+

Answers

Answer 1

Answer:

more information

Step-by-step explanation:

Answer 2

Answer:

2, 2, 11, -57

Step-by-step explanation:


Related Questions

. Anna was thinking of a number. She told Bill that if he squared her number followed by subtracting 11 times her, and adding 4, then he would get -26. What number(s) could Anna be thinking of?

Answers

Answer:

Anna's number could be 5 and it could be 6.

Step-by-step explanation:

Let Anna's number be represented by x.

If Bill squared her number followed by subtracting 11 times her number, and adding 4, then he would get -26.

This implies that:

[tex]x^2 - 11x + 4 = -26[/tex]

This is a quadratic equation and we can solve for x by factorization.

[tex]x^2 - 11x + 4 = -26\\\\=> x^2 - 11x + 4 + 26 = 0\\\\x^2 - 11x + 30 = 0\\\\x^2 -6x-5x + 30 = 0\\\\x(x - 6) - 5(x - 6) = 0\\\\(x - 5) (x - 6) = 0\\\\[/tex]

=> x = 5 and x = 6

Anna's number could be 5 and it could be 6.

Find the area of the shape

(sorry if im asking too many questions)

Answers

Answer:

E. 54

Step-by-step explanation:

To find the area just multiply the base times the height. In this problem it would just be 6x9= 54.

Answer:54 cm ^2

Step-by-step explanation:

9 times 6 is 54

in order for the limit of F(X) to exist at x=a, which of the following must hold true

Answers

Answer:

A.

Step-by-step explanation:

Given: limit of f(x) exists at x = a

To choose: the correct option

Solution:

A limit is a value that a function approaches as the input approaches some value.

[tex]\lim_{x\rightarrow a}f(x)=L[/tex] means that as x approaches to value a then f(x) approaches to value L.

A limit of a function f(x) exists at x = a if [tex]\lim_{x\rightarrow a^-}f(x)=\lim_{x\rightarrow a^+}f(x)=L[/tex]

So, option A. is correct.

Answer:

A.

I took the quiz and got it correct.

What is the population density of LA? Explain your work: Los Angeles: population = 4,000,000; Area= 503 sq. miles

Answers

Answer:

The population density is 7592 people per square mile

Step-by-step explanation:

The population density of los Angeles here refers to the number of people present by square miles

Mathematically, to find this population density, what we need to do is to divide the total population that we have by the area of Los angeles

The population here is 4,000,000 while the area is 503 square miles

The population density is thus ;

4,000,000/503 = 7592.29 which is approximately 7592 people per square mile

Which set of measurements could be the lengths of the sides of a right
triangle?
А
1, 2, 3
с
5, 12, 13
9, 13, 15
10, 20, 30
D​

Answers

Answer:

5, 12, 13

Step-by-step explanation:

because if you use the pythagorean theorem, you will get 13 as the hypotenuse if you take the two shorter sides.

Please helppp. Find the equation of line

Answers

Answer:

[tex]y=2/3x+4[/tex]

Step-by-step explanation:

[tex](0,4);(-6,0)[/tex]

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

[tex]m=\frac{4-0}{0-(-6)} =\frac{4}{6}=\frac{2}{3}[/tex]

Mindy and Troy combined ate 9 pieces of the wedding cake. Mindy ate 3 pieces of cake and Troy had \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction of the total cake.

Answers

it’s 28 bc the 4 divided by 1 is =7

Answer:

Equation: 3 + 1/4c = 9

24 pieces of cake

Step-by-step explanation:

from khan :))

Perform the following operation:
h(n) = 4n + 5
g(n) = 3n +4
Find (h - g)(n)

Answers

Answer:

n+1

Step-by-step explanation:

h(n) = 4n + 5

g(n) = 3n +4

(h - g)(n) = 4n + 5  - (3n +4 )

distribute the minus sign

              = 4n +5 - 3n -4

Combine like terms

              = 4n -3n  +5-4

               = n +1

f(n)=93+4(n-1) Complete the recursive formula of f(n)

Answers

Answer:

f(1) = 93

f(n) = f(n - 1) + 4

Step-by-step explanation:

The recursive formula for an arithmetic sequence is given as:

f(1) = a

f(n) = f(n - 1) + d

where a = first term and d = common difference

An arithmetic sequence is in the form:

f(n) = a + d(n - 1)

where a = first term and d = common difference

The common difference in f(n) = 93 + 4(n-1) is 4.

The first term is 93.

The recursive formula is therefore:

f(1) = 93

f(n) = f(n - 1) + 4

Answer:

f(1)=93

f(n)=f(n-1)+4

Step-by-step explanation:

As you can see in the picture, the initial value is 93, which is why it's the first part of the equation. The 4 is multiplying the (n-1) part in the equation and as we complete the recursive formula of N, you have to put the numbers in the correct order.

Liz flips a coin 60 times. The coin lands heads up 18 times and tails up 42 times. Complete each
statement.
The theoretical probability of the coin landing heads up is %.
(Type an integer or a decimal.)

Answers

Answer:

30%

Step-by-step explanation:

18/60 = .3 × 100% = 30%

180/9 x 10^-5

IN SCIENTIFIC NOTATION

Answers

Answer:

2*10^-4

Step-by-step explanation:

Answer:

2.0x10^6

Step-by-step explanation:

First, let's change the number in the numerator into scientific notation.

180/ 9.0x 10^-5 = 1.80x10^2/ 9.0x10^-5

Start by collecting the significance and exponents.

1.80X10^2/ 9.0x10^-5 = 1.80/ 9.0x 10^2/10^-5

Then divide each term separately. When dividing exponents with the same base, subtract their power.

=0.20x10^2-(-5) =0.20x 10^7

To write the answer correctly in scientific notation, the first number needs to be between 1 and 10. In this case, we need to move the decimal one position to the right without changing the value of our answer.

We can use the fact that 0.20 is the same as 2.0/10, or 2.0x 10^-1

=2.0x10^-1x 10^7

=2.0x 10^-1+7

=2.0x 10^6

Find the measure of the missing angle

Answers

Answer:

? = 60

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

120 = ? +60

subtract 60 from each side

120-60 = ? +60-60

60 = ?

Henry and five friends are going to the movies. Tickets cost $8 each. Henry used this model to help him find the total cost of the tickets. Which shows one way to break apart the array to find the product?

Answers

Answer:

(7 x 5) + (7 X 3) = 7 X 8 or (7 x 4) + (7 X 4) = 7 X 8

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

The total number of people: 7 Ticker costs:  $8 each

=> the total cost = the total number of people * the ticket cost each

= 7 X 8

Hence, he can use this way to break apart the array to find the product:

(7 x 5) + (7 X 3) = 7 X 8 or (7 x 4) + (7 X 4) = 7 X 8

Hope it will find you well.

A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?

Answers

Answer:

[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]

So then the distance between the submarine and the airplace is 525 m

Step-by-step explanation:

For this case we know that the submarine is 150 m below the sea level and the airplane is 375 m above the sea level and we want to find the difference between the heights and we got:

[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]

So then the distance between the submarine and the airplace is 525 m

Suzanne folded 12 towels. If Allison folded 4 times as many towels as Suzanne, which number sentence shows how many towels Allison folded? A. 12 × 12 = 144 B. 4 × 12 = 48 C. 4 × 4 = 16 D. 12 + 4 = 16

Answers

Answer:

B

Step-by-step explanation:

Let's use S for Suzanne

A for Allison

S= 12

4s = A

4 x 12 =48

Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?

Answers

Answer:

Step-by-step explanation:

4 ft

Answer:

Step-by-step explanation:

4 ft

brainliest pls i need it :,)

The school that Eduardo goes to is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and student tickets for a foral of . The school took in $190 on the second day by selling 14 senior citizen tickets and 6 student tickets. Find the price of a senior citizen ticket and the price of a student ticket

Answers

Answer:

Is there anything else to the question like a equation?

Step-by-step explanation:

Please help me with this question

Answers

Answer:

Either 36.35 or 16.00173

Step-by-step explanation:

the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.

IF you are supposed to use inverse cosine:

16.00173

IF NOT:

36.35182

need help with question 40!!!!

Answers

Answer:

0.84

Step-by-step explanation:

You got number 38 wrong. It should be 0.625

So number 39's answer should be the code.

0.84

Simplify the expression. (2x5)4


2x20

16x20

16x9

2x625

Answers

Answer:

16 x^20

Step-by-step explanation:

(2x^5) ^4

We can separate this into

2^4  * x^5^4

We know that a^b^c = a^(b*c)

16 x^(5*4)

16 x^20

Answer:

The answer is b

Step-by-step explanation:

HELP U GUYS. For a fundraiser, Alex sold large boxes of oranges for $9 each and small boxes of oranges for $5 each. if he sold 17 boxes in all total for 105, how many more small boxes than large boxes did he sell?

A.5
B.7
C.9
D.11

Answers

Answer:

He sold 7 more small boxes than large boxes

Step-by-step explanation:

Let x be the no of small boxes sold .

Cost of 1 small boxes of oranges = $5

Cost of x small boxes of oranges = 5x

Let y be the no. of large boxes sold

Cost of 1 large boxes of oranges = $9

Cost of y large boxes of oranges = 9y

He sold 17 boxes in all total for 105

So,x+y=17 ---1

So,5x+9y=105 ---2

Substitute the value of x from 1 in 2

5x+9(17-x)=105

5x+153-9x=105

153-105=4x

[tex]\frac{153-105}{4}=x[/tex]

12=x

Substitute value of x in 1

12+y=17

y=17-12

y=5

Difference in no. of boxes = 12-5 = 7

So, He sold 7 more small boxes than large boxes

The area of the quadrilateral below can be found be adding the areas of the distinct figures.

Answers

I don’t know really

2х + 5y = 6
x+2y = -3

what is x?​

Answers

Answer:

x = -3

In-Depth Steps:

1.) Start with the bottom equation: [tex]x+2y=-3[/tex]

2.) Set [tex]x[/tex] alone on one side of the equal sign. Your equation will look like [tex]3+2y=x[/tex].

3.) Plug [tex]3+2y[/tex] in for [tex]x[/tex] in the first equation. You will get [tex]2(3+2y)+5y=6[/tex].

4.) Distribute. Your equation now looks like this: [tex](6+4y)+5y=6[/tex].

5.) Combine like terms. You will get [tex]6+9y=6[/tex].

6.) Subtract 6 from both sides. You get [tex]9y=0[/tex]. We can learn that Y=0.

7.) Go back to either equation and put 0 in for y.

8.) In the top equation, it would look like [tex]2x=6[/tex] and the bottom equation would look like [tex]x=-3[/tex]. We basically got our answer of [tex]x = -3[/tex], but we will plug it into the [tex]2x=6[/tex] equation, and in-fact, we get x = -3.

4(3x+5)=6(x+8)-x someone please help me with this equation

Answers

Answer:

x=4

Step-by-step explanation:

4(3x+5)=6(x+8)-x

Distribute

12x +20 = 6x +48 -x

Combine like terms

12x+20 = 5x+48

Subtract 5x from each side

12x-5x +20 = 5x-5x+48

7x +20 = 48

Subtract 20 from each side

7x+20-20 = 48-20

7x = 28

Divide each side by 7

7x/7 = 28/7

x = 4

12x + 20 = 6x + 48 + -x
12x + 20 = 5x + 48
7x + 20 = 48
7x = 28
x = 4

Find the arc length of the semicircle

Answers

Perimeter of circle:2*pi*r
r=5
We want half of the perimeter.
2*pi*5/2
=5*pi

Answer:

Arc length of Semicircle ⇒ 5π

Step-by-step explanation:

See procedure below;

Radius of Semicircle ⇒ 5 units,

Diameter of Semicircle ⇒ 2 * 5 = 10 units,

Now if we were to imagine a complete circle, the length of this arc would be half of the circumference of the complete circle provided it ∈ to a semicircle. Therefore, if we are to calculate the length of the circumference of the complete circle given the diameter to have a length of 10, we can divide this by two to receive the arc length of the semicircle;

Circumference of Complete Circle ⇒ πd ⇒ 10π,

Arc length of Semicircle ⇒ 10π / 2 = 5π;

Answer; Arc length of Semicircle ⇒ 5π

Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.

What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

4.5
6
14
15.5

Answers

Answer:

The standard deviation from the mean is the square root of the variance.

Therefore, SD = sqrt(VAR) = sqrt(36) = 6

Hope this helps!

:)

:PROBLEM Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values  is 36.

QUESTION. What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

RESULUTIONS

4.5

6

14

15.5

ANSWER.=6

Determine the measure of the named angle below.
mZK

K
40°

Answers

Step-by-step explanation:

Bro this problem cannot be solved. No solutions. I need at least one more angle or the type of triangle it is. Like iscoceles or scalene, or equilateral. Pls give me that info and then I can solve it for u

these 2 questions please will mark brainly

Answers

Answer:

[tex]28\sqrt{2}[/tex]

Step-by-step explanation:

To answer this question, you must split 98 into 2 factors:

                                                      98

                                                 2          49

                                                          7       7

2 and 49 can be multiplied to get 98. 49 is also a perfect square, meaning the factors are going to be the same number, which is 7. Since there are two 7's you take that out of the radical, like so:

[tex](7)4\sqrt{2}[/tex]

[tex]28\sqrt{2}[/tex]

What is the probability of rolling a number cube and getting a number greater than four?

Answers

The probability would be 8/12

Find the area of a circle with a radius of 5 feet. Please help

Answers

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25 pi

Using 3.14 for pi

A = 78.5 ft^2

Using the pi button

A =78.53981634 ft^2

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