Complete the statements below that show y = 8x2 + 32x + 17 being converted to vertex form.

Factor out the leading coefficient.

y = 8(x2 + 4x) + 17

Form a perfect-square trinomial.

Answer:

9.25

Step-by-step explanation:

The quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.

To solve 37 divided by 4 step by step:

Step 1: Divide the first digit of the dividend (37) by the divisor (4):

37 ÷ 4 = 9

Step 2: Multiply the quotient (9) by the divisor (4) to get the product:

9 × 4 = 36

Step 3: Subtract the product (36) from the dividend (37) to find the remainder:

37 - 36 = 1

Step 4: Bring down the next digit (0) from the dividend to the remainder:

Remainder: 10

Step 5: Divide the new number (10) by the divisor (4):

10 ÷ 4 = 2

Step 6: Multiply the new quotient (2) by the divisor (4) to get the product:

2 × 4 = 8

Step 7: Subtract the product (8) from the remainder (10) to find the new remainder:

10 - 8 = 2

Step 8: Since the remainder (2) is less than the divisor (4), we can stop here.

Therefore, the quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.

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Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

thats in the simplest form

Answer:

1.05

Step-by-step explanation:

To start, you need to know how long the shelving is, so you would multiply 0.3*3 since there are three pieces of wood. After you do that, you need to find out exactly how much space is from the shelving to the wall, so multiply 0.05*2 since there are two sides of the shelf. Add it all together for a total of 1.05

My calculator work will be posted below.

If you need more help, message me!

Answer:

= -22

Step-by-step explanation:

In a simple way to say it, all you have to do is add.

Remember that two negatives being added together will remain a negative.

Think of a number line, -11 would be on the left side of the 0. If you subtract another 11, you move 11 spaces more to the left. This gives you -22.

Or simply add the 11 and then add the negative sign next to it.

-(11+11)= -22

Hope this helps! :)

Answer:

the answer is B

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

250 mL= 0.25 L  500 mL= 0.5 L  750mL= 0.75 L+3L

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

count how many 3's there are (1)

3^1

3^1 simplifies to just 3

3

count how many x's there are (4)

3x^4

count how many y's there are (4)

3x^4y^4

Answer:

The answer is Letter A

Explanation:

It's because based on the given formula there is only one 3 four x and four y , so the 3 remains itself and x raise fo four as well as y so Letter A

Answer:

345

Step-by-step explanation:

3!

Answer:

0.5%

Step-by-step explanation:

8/1600= 0.005 = 0.5%

Answer:

3378.15+4985.34+6115.53+6566.13 = 21045.15

Answer:

Step-by-step explanation:

A 8.0

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The median is the number in the middle. So first we order these numbers up which is:

2  15  16  23  24  25  25  26  34

Next we see in the middle we have 24, since there is four numbers on either side.

19)

[tex]90 = 21x + 6\\-21x = 6 - 90\\-21x = -84\\x = 4[/tex]

20)

[tex]75 = 11x - 2\\-11x = -2 - 75\\-11x = -77\\x = 7[/tex]

21)

[tex]60 = 8x - 4\\-8x = -4 - 60\\-8x = -64\\x = 8[/tex]

22)

[tex]132 = x + 139\\-x = 139 - 132\\-x = 7\\x = -7[/tex]

23)

[tex]-1 + 14x = 12x + 17\\14x - 12x = 17 + 1\\2x = 18\\x = 9[/tex]

24)

[tex]23x - 5 = 21x + 5\\23x - 21x = 5 + 5\\2x = 10\\x = 5[/tex]

Answer:

50 gallons

Step-by-step explanation:

Answer: liters

Step-by-step explanation:

Answer:

The answer to your question is simply just 9.

Answer:

this is the math part of Brainly...  try the literature part for book reviews

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4

joe be going sicko mode, he finna pack 5/2

they want complete so I'd go with 2 boxes

Answer:

2

Step-by-step explanation:

If he can pack 150 per hour and there are 60 minutes in an hour, then to find the boxes per minute, you must divide 150 by 60. That gets 2.5, and the question said complete boxes so 2.

Answer:

[tex]m=-3[/tex]

Step-by-step explanation:

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

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{5-(-1)}{-5-(-3)}[/tex]

[tex]m=\frac{5+1}{-5+3}[/tex]

[tex]m=\frac{6}{-2}[/tex]

[tex]m=-3[/tex]

Answer:

Step-by-step explanation:

given:

f(x) = g(x)

f(x) = x³ - 3x² + 2

g(x) = x² - 6x + 11

find: the value of x

solution:

therefore, the value of x = 3

Step-by-step explanation:

[tex]

\underline{\bf{Given\::}}

Given:

\underline{\bf{To\:find\::}}

Tofind:

\underline{\bf{Explanation\::}}

Explanation:

\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}

\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}

⟶

−10

1

=

v

1

−

−30

1

⟶

v

1

=

−10

1

+

30

1

⟶

v

1

=

30

−3+1

⟶

v

1

=

30

−2

⟶

v

1

=

−15

1

⟶v=−15cm

\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}

MAGNIFICATION:

\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}

↦m=

Heightofobject(O)

Heightofimage(I)

=

Distanceofobject

Distanceofimage

=

u

v

↦m=

−15

−30

↦m=2cm

Thus;

The magnification will be 2 cm .

[/tex]

Answer the answer is 217.62.

Step-by-step explanation:

5x - 3(x + 9) + 10 = 4

[tex] \implies [/tex][tex]5x - 3x - 27 + 10 = 4[/tex]

[tex] \implies [/tex][tex]2x - 17 = 4[/tex]

[tex] \implies [/tex][tex]2x = 4 + 17[/tex]

[tex] \implies [/tex][tex]2x = 21[/tex]

[tex] \implies [/tex][tex]x = \frac{21}{2} [/tex]

Answer:

3rd graph

Step-by-step explanation:

Answer:

The third one

Step-by-step explanation:

Answer:

hi! I put a pdf of the solution below. hope it helps :) feel free to ask if you need anything else

Answer:

f(5)=31

Step-by-step explanation:

f(5)=5(5+3)-9

=5(8)-9

=40-9

=31

Answer:

The sum of 3 consecutive integers is 13 more than twice the smallest integer. Find the integer.

x + (x+1) + (x+2) = 2x + 13

3x + 3 = 2x + 13:

3x - 2x = 13 - 3

x = 10 is the smallest integer:

Check: 10 + 11 + 12 = 2(10) + 13

The integers will be equal to 10, 11, and 12 respectively.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The sum of 3 consecutive integers is 13 more than twice the smallest integer. The integer will be calculated as below:-

x + (x+1) + (x+2) = 2x + 13

3x + 3 = 2x + 13:

3x - 2x = 13 - 3

x = 10 is the smallest integer:

Check: 10 + 11 + 12 = 2(10) + 13 = 33

Therefore, the integers will be equal to 10, 11, and 12 respectively.

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Answer:

D

Step-by-step explanation:

The y-intercept can't be 1.7 it's too low of a number and there can't be no y-intercept in the problem because the line does meet the y-axis