Rewrite the function by completing the square
f(x)=x^2-14x+63

Answer:

8 books

Step-by-step explanation:

1 book = 1 1/2 inches

Length of the shelf = 12 inches

Hence,

3/2 inches = 1 book

12 inches = x

3/2 × x = 12 × 1

x = 12 ÷ 3/2

12 × 2/3

4 × 2

= 8 books

Hence, he can put 8 books side-by-side on the shelf.

Answer: Mr. Diaz will have 21 pieces.

Step-by-step explanation:

Given, Length of the complete piece bought by  Mr. Diaz= 7 feet

Length of each piece cut = [tex]\dfrac13[/tex] foot

By division operation,

Number of pieces = ( Length of complete piece ) ÷ (Length of each piece cut)

[tex]=7\div\dfrac13=7\times3=21\ \ [\because a\div \dfrac{b}{c}=a\times\dfrac{c}{b}][/tex]

Hence, Mr. Diaz will have 21 pieces.

Answer:

For number 2 that is going to be 1 4/5

number 3 is going to be 5 4/7

Number 4 is going to be 8 1/3

Number 5 is going to be 3 1/6

Number 6 is going to be 6 3/11

Step-by-step explanation:

I hoped this helps

Answer:

y2- y1

x2- x1

which would be,

-1 - 7

7- (-3)

Steps:

(-3, 7)        (7, -1)

(x1,y1)       (x2,y2)

Answer:

slope is delta y over delta x. In other words change in y over change in x. so if you take -3 (this is x) and 7 (this is also x) and you find the change. in this example it is positive 10. now you set that number aside and work on y now. so you now take 7 (this is y) and -1 (this is also y) and you find the change. It is -8. Finaly, since slope is delta y over delta x your answer is -8/10. -8/10 is your slope.

Hope this helped!

I'm pretty sure you just multiply the 1 1/4 by 3 because if 1 1/4 makes 10 muffins you need to make 3 more dozens so 1 1/4 times 3 equals 3.75

Answer:

y-coordinate is 5 or -1.

Step-by-step explanation:

Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2  and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).

Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).

The area of ΔABC is 6. So,

9 = 1/2 (b)(h)

where b is the base and h is the height.

so b = 6 and h = AC

Solving this for C gives

9 = 1/2 (6)(AC)

18/6 = AC

3 = AC

9 = 1/2 (6)(AC)

18/6 = AC

3 = AC

Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.

If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.

Therefore, y-coordinate is 5 or -1.

Step-by-step explanation:

Complete question :

The two largest lizards in the United States are the Gila monster and the Chuckuwalla. The average Gila monster is 0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?

Answer:

1.54 times

Step-by-step explanation:

Given that:

Average length of Gila monster = 0.608 meter

Average length of chuckwalla = 0.395 meter

Number of times the Gila monster is than the Chuckuwalla :

Average Length of Gila monster / average Length of chuckwalla

= 0.608 meter / 0.395 meter

= 1.5392405 times

= 1.54 times

Answer:

The value of x = 6

Step-by-step explanation:

The Midsegment of a triangle theorem states that the midsegment of a triangle is parallel to the third side of the triangle and it’s always equal to the one half or 1/2 of the length of the third side.

Now we can conclude that from the given triangle, the length of midsegment is 5x-1 which is parallel to the side of length 58, and will always equal to 1/2 of the length of the side of length 58.

Mathematically it means:

[tex]5x-1\:=\:\frac{58}{2}[/tex]

solving to find the length of x

[tex]5x-1=29[/tex]

Add 1 to both sides

[tex]5x-1+1=29+1[/tex]

[tex]5x=30[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{30}{5}[/tex]

[tex]x=6[/tex]

Therefore, the value of x = 6

Answer:

d

Step-by-step explanation:

Answer:

[tex]\frac{9}{8}[/tex]

Step-by-step explanation:

Lets look at this in a more simple way!

[tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex]

Now we can convert division into multiplication and flip the 1 and 3 numbers (in the fraction "[tex]-\frac{1}{3}[/tex]") all the way around and switch their roles as dividend and divisor:

[tex]-\frac{3}{8}[/tex] × [tex]-\frac {3} {1}[/tex]

Now multiply

[tex]\frac{9}{8}[/tex]

And THAT is your quotient of [tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex].

Hope this helps!

Have a nice day!

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Answer:

sin 61 degrees = x/55

55 * sin 61 degrees = x

x is approximately 48.1 if I did the math right

Step-by-step explanation:

hope it helps! gl

Answer:

B. (5x - 4)(3x + 2)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] 15x² - 2x - 8

The coefficient of x² is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12.

So,

[tex] \longrightarrow [/tex] 15x² + (10 - 12)x - 8

[tex] \longrightarrow [/tex] 15x² + 10x - 12x - 8

[tex] \longrightarrow [/tex] 5x(3x + 2) - 4(3x + 2)

[tex] \longrightarrow [/tex] (5x - 4)(3x + 2)

Answer:

You can buy 10 mangoes for $4.

Step-by-step explanation:

40/16 = x/4

16x = 160

x = 10

uh?

Step-by-step explanation:

sooo what am i gonna do??

Answer:

Your basically supposed to color the parts based on the answering the 8 questions on your paper.

If you do not have an questions, then just color according to the numbers.

BTW I see the word "MATH" hidden.

Answer:

18%

Step-by-step explanation:

if i am right

it would be subtract 492- 600 = -108

make this a positive value so 108

and divide it by the actual made amount

108/600 which would be 0.18 multiply this by 100 and you have 18% !!

this is what i remember doing!  

let me know if it helped

Answer:

-6

Step-by-step explanation:

let equation of the line be y = mx + c

sub (4, -3)

-3 = 1/2(4) + c

c = -5

sub (-2, y)

y = 1/2(-2) - 5

y = -6

Graph A.

Graph A has a line passing through (0,4).

.............................................................................

Answer:

About 204 people will go to the band in 2018.

Step-by-step explanation:

64 + 54 + 46 + 40 = 204.

Answer:

Locke, Rousseau and Montesquieu agreed that nations would be built on social institutions, or even what Montesquieu considered a legislation which would describe the laws of the country and put in concrete what privileges the citizens and the state have.

Answer:

d 18,328

Step-by-step explanation:

I did the math >:3

sorry if it's wrong

next question

11)

[tex] {x}^{2} + (k - 1)x - k = 0[/tex]

[tex](x - 1)(x + k) = 0 \\ x = 1 \\ x = - k[/tex]

they are equal so both are one

then k = -1

be careful the answer of q 10 is in the pictures

Answer:

X=$7

Step-by-step explanation:

Answer:

B

23

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

[tex]24^{2} + 7^{2}[/tex] = 625

[tex]\sqrt{625\\}[/tex] = 25

Therefore, the length of BD in rectangle ABCD is 25mm. I just did the test and it is correct. 23 is wrong.

Answer:

Step-by-step explanation:

-22

Answer:

3x +12y+4

Step-by-step explanation:

The discount is $24.5 and Sale Price is $122.5.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

loren wants to buy a golf club that is $98.

Sale= 25% off

So, the discount is

= 98 x 25/100

= 98 x 1/4

= $ 24.5

and, the Sale Price is

= 98 + 24.5

= $122.5.

Learn more about Percentage here:

https://brainly.com/question/29306119

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