Rewrite the function by completing the square.
f(x) = x2 – 2x – 95

Step-by-step explanation:

It is Graph B. We can do this by checking the points. The equation given is d = 5t^2, where d technically is the y-coordinate and t is the x-coordinate. On Graph B, two obvious points are (1, 5) and (2, 20). We can check these points to see if they fit the equation.

(1,5): d = 5t^2

5 = 5(1)^2

5 = 5*1

5 = 5, so this point is correct.

(2, 20): = d = 5t^2

20 = 5(2)^2

20 = 5*4

20 = 20, so this point is correct.

We know that Graph A is incorrect because it doesn't follow the equation. The line goes through (1, 5), which we already know is correct, (2, 10), (3, 15), and (4, 20). We already figured out that (2, 20) is correct so (2,10) can't be correct. (3, 15) and (4, 20) are also incorrect but in this case, we only need to find one incorrect coordinate to validate our answer. Thus, as Graph A is wrong, Graph B is right.

Answer:

width = 5 in

length = 17 in

Step-by-step explanation:

Area of a rectangle = length x width

width = w

length = 2 + 3w

85 = (w) x (2 + 3w)

85 = 2w + 3w³

this can be solved using quadratic equation

3w³ + 2w - 85 = 0

factors of 3w³ x -85 that add up to 2w are : +17 w and -15w

(3w³ - 15w) (17w - 85) = 0

3w(w - 5) 17(w - 5) 0

w = 5

or w = - 17/3

the width cannot be a negative number. the correct width is 5 in

Length = 2 x 3(5) = 17 inches

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{3a - 4b - 6a + b}[/tex]

[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\large\text{\underline{(3a - 6a)} + (\bf -4b + b)}[/tex]

[tex]\large\text{\underline{3a - 6a = \bf -3a}}[/tex]

[tex]\large\text{\bf -4b + b = \bf \underline{-3b}}[/tex]

[tex]\large\text{= \bf -3a - 3b}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -3a - 3b }}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

14.25

Step-by-step explanation:

So, lets go over our information.

We have a price of 15 dollars.

And it is 5% cheaper.

This means that the price is 95% of what it used to be.

We must find 95% of 15.

We know that to put 95% into decimal form, we must divide by 100:

95/100

=

0.95

So we know we must multiply 15 by 0.95:

15x0.95

=

14.25

So our price is now 14.25 dollars

hope this helps! :)

Answer:

1.5 hour

Step-by-step explanation:

You divide 6 by 4.

Answer:

7.2 hrs

Step-by-step explanation:

Jack does 4/5 of the work in 6 hrs. He still needs to do 1/5 more if he's doing it by himself. 1/5 of 6 = 1.2 and 1.2 + 6 = 7.2 hrs

Answer:

74046

Step-by-step explanation:

Permutations = [tex]_np_r=\frac{n!}{(n-r)!}[/tex]

where r = choice of things from a set ( in this case the 3 places ) so r = 3

and n = amount of things ( in this case the 43 people ) so n = 43

We then plug in the values of n and r in the permutations formula

[tex]\frac{43!}{(43-3)!} =74046[/tex]

Hence the answer is 74046

Answer:

roubd it to 20 and you will get 679.90

Answer:

56 and there will be 1 foot of ribbon left over

Step-by-step explanation:

225/4=56.25

Answer:

219.347

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

Answer: -4

Step-by-step explanation:

2(-3)*2-(-3)+5= -4

Answer:

e=26

d=52

f=154

Step-by-step explanation:

theyre equal to the ones across from them, and i used a line to find the measure of d

Answer: multiply each point by 3. You would need to multiply both the x and y value in the point to find the new dilated point.

Step-by-step explanation:

Answer:

8 minutes

Step-by-step explanation:

minutes Abel completed the race = time finished - time started

7:18 - 7:10 = 8 minutes

Answer: negative, positive

Step-by-step explanation:

FOR PLATO!

Positive

Positive

Answer:

x = 14/5

Step-by-step explanation:

2x-4= -x-6/2

multiply by 2 on both sides to get rid of the fraction

4x-8= -x-6

add both sides by 8 and both sides by x to get the constants on the right and the variables on the left

4x+x=6+8

combine like terms/simplify

5x=14

divide both sides by 5 to isolate the x

x=14/5

i hope this helps :)

Answer:

A = 135 sq in

Step-by-step explanation:

Area of parallelogram is base x height

A = 15(9)

A = 135 sq in

Answer:

71

Step-by-step explanation:

Answer:

y= - 2/3x + 3

Answer:

which one

Step-by-step explanation:

the upper answer would be 38 and lower would be

Answer:

4f = 38

Step-by-step explanation:

f(x) = 9x + 2

=

f(4) = 9(4) + 2

=

4f = 36 + 2

=

4f = 38

Answer: y = -(x+5/2)^2+73/4

Step-by-step explanation:

answer:

i drew the graph since i couldn’t write it out

Answer:

$4.99

Step-by-step explanation:

[tex]34.93 \div 7 [/tex]

Answer:

[tex]7 \: books = 34.93 \: dollars \\ 1 \: book = ( \frac{1}{7} \times 34.93) \: dollars \\ = 4.99 \: dollars[/tex]

Answer:

0.2985

Step-by-step explanation:

find cot0 given cos0=2/7 and the terminal side is in quadrant IV

Given

cos theta  = 2/7

theta = arccos(2/7)

theta = 73.40 degrees

cot theta = cot73.40

cot73.40 = 1/tan73.40

cot73.40 = 1/3.35

cot73.40 = 0.2985

hence the required answer is 0.2985

Answer:

x= -1,-7                

Step by step:

Answer:

x = -7 and -1

Step-by-step explanation:

Move the right side of the equation over to the left;

x^2+8x+7 = 0; Factor

(x+7)(x+1)=0 ; Solve for x;

x = -7 and -1

4 6/11 is the value of 1 part of the ratio (1). 13 7/11 of the muxture is orang juice, in litres.

Answer:

the second one

Step-by-step explanation:

Answer:

it is A becuase it passes through 0,0 and 5,5 the rest either pass through 5,5 but not 0,0 and B doesnt pass thorugh 5,5 but does pass thorugh 0,0 so its A

Step-by-step explanation:

Answer:

The value of k would be [tex]\frac{1}{2}[/tex] also written as 0.5

Hope this helps!