Write the following equation in vertex form by completing the square.
f(x) = -x2 – 8x +5

Answer:

x=-1 and x=9

Step-by-step explanation:

[tex]3(x-4)^{2} =75[/tex]

[tex](x-4)^{2} =\frac{75}{3}[/tex]

[tex](x-4)^{2}[/tex]=[tex]25[/tex]

[tex](x-4)(x-4)[/tex]=[tex]25[/tex]

[tex]x^{2} -4x-4x+16[/tex]=[tex]25[/tex]

[tex]x^{2} -8x+16[/tex]=[tex]25[/tex]

[tex]x^{2} -8x+16-25=0[/tex]

[tex]x^{2} -8x-9=0[/tex]

[tex](x-9)(x+1)=0[/tex]

[tex]x-9=0\\x=0+9\\x=9[/tex]        [tex]x+1=0\\x=0-1\\x=-1[/tex]

therefore x=9 and x=-1

Answer:

the answer is d x = −1 and x = 9

Step-by-step explanation:

Answer: 1. Describe a sequence of translations that would map Figure H onto Figure K.

⃗⃗⃗⃗⃗⃗

Translate Figure H along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

⃗⃗⃗⃗⃗⃗

Translate Figure H along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

2. Describe a sequence of translations that would map Figure J onto itself.

⃗⃗⃗⃗⃗⃗

Translate Figure J along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

⃗⃗⃗⃗⃗⃗

Translate Figure J along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

Step-by-step explanation:

[tex].....................part \: 1. \: a.......................... \\\boxed{ Perimeter} \\ the \: perimeter \: of \: a \: triangle \: is \: given \: by \to\\ \boxed{p} = a + b + c........ \\ were \: \\ a \: b \: and \: c \: are \: the \: sides \: \: of \:the \: triangle \: when : \\ a = su = \: ?\\ b = ut = 8 \: units\\ c = ts = 14 \: units\\ to \: find \: su \: we \: apply \: pythagorean \: rule\: \to \: \\ (su) {}^{2} = {(ut)}^{2} + {(ts)}^{2} \\ su = \sqrt{ {8}^{2} + {14}^{2} } \\ su = 2 \sqrt{65} \\ hence : \\ \boxed{p} = 8 + 14 + 2 \sqrt{65} \\ p = 22 + 2 \sqrt{65} \\\boxed{p= 38 .12\: units}\\ \\ .......................part \: 1. \: b....................... \\ \boxed{Area} \\ the \: area \: of \: a \: triangle \: is \: given \: by : \\ A = \frac{1}{2} bc \\ hence : \\ A = \frac{1}{2} \times 8 \times 14 \\ \boxed{ A = 56\: {units}^{2}}[/tex]

Note.......I took care of part 1 only......cos handling both questions on here will be much on me

or.......you can set part 2 as a different question......but applying the same methods for the triangle will definitly work for the rectangle.

♨Rage♨

[tex]2 {x}^{2} + x - 1 = 2 [/tex]

Subtract sides -2

[tex]2 {x}^{2} + x - 1 - 2 = 2 - 2 [/tex]

[tex]2 {x}^{2} + x - 3 = 0 [/tex]

[tex](x - 1)(2x + 3) = 0[/tex]

_________________________________

[tex]x - 1 = 0[/tex]

[tex]x = 1[/tex]

##############################

[tex]2x + 3 = 0[/tex]

[tex]x = - \frac{3}{2} \\ [/tex]

_________________________________

Done♥️♥️♥️♥️♥️

Answer: I think its C on edge

Answer:

negative

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

negative times negative is positive

then, the positive times negative is negative

Answer:

No estoy seguro, intenta preguntarle a tu profesor

Step-by-step explanation:

The seamstress had 37/9 yards of material for each uniform.

In mathematics, division is a process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made.

Given that total amount of material = 148 yards

number of students in the concert band = 16

number of students in the symphonic band = 20

Total number of students = number of students in the concert band + number of students in the symphonic band

= 16 + 20 = 36

For 36 students, there are 148 yards of material.

Then for 1 student, there are 148/36 = 37/9 yards of material.

Therefore the seamstress had 37/9 yards of material for each uniform. So, option B is correct.

Learn more about division here -

https://brainly.com/question/14692277

#SPJ2

Answer:

7056

Step-by-step explanation:

the volume of the box is 7056.  

Answer:

i cant see it

Step-by-step explanation:

Answer:

Just solve the equation in the question get the total and solve all the other equations they give you and see which one has the same total as the equation in the question.

Step-by-step explanation:

Sorry for not giving you a solid answer but I don't know what the other equations are to give you the answer. :)

Hope this helps tho! owo

The raise was 5% which is 0.05 as a decimal.

For his new rate his original rate was multiplied by 1.05 ( original + 5%)

To find original amount, divide new amount by 1.05:

252 / 1.05 = 240

His original pay was £240

You can check by multiplying the original pay by 5% and adding:

240 x 0.05 = 12

240 + 12 = 252

Answer:

increases It increases piggy piggy

Answer:

increases due to the presence of kinetic energy

Answer:

these teachers b expectin u to do this bs

Step-by-step explanation:

Answer:

467 000 000

Step-by-step explanation:

4.67e-8 is rewritten as 4.67 x 10^-8.

Negative -> decimal with lots of places, Positive -> big, big number

Move the decimal place right 8 times so you end up with a small decimal.

4.67 -> 467000000

Answer:

So,you're answer will be 21°{degree}..

Answer:

  m∠YPQ = 159°

Step-by-step explanation:

m∠QRP = 107

m∠RQP = 52

m∠RPQ = x

m∠QRP + m∠RQP + m∠RPQ = 180°

107 + 52 + x = 180

159 + x = 180

x = 21°

m∠RPQ = x = 21°

m∠RPQ + m∠YPQ = 180°

21° + m∠YPQ = 180°

m∠YPQ = 159°

Answer:

picture of answer on edge 2023.

Step-by-step explanation:

Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Total area of parknand path way = 74,464 m2.

Dimension of park = 350m by 200m

Using the area of rectangle formula:

Area = Length * width

Area of park = 350m * 200m

Area of park = 70,000

Area of path = (74,464 - 70,000) = 4,464m2

Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m

2.) the path of the park seems a bit narrow, hence, I wouldn't love children to bike and jog in such a narrow path

Answer:

The Slope is -1/3

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest

Answer:

$3,200

Step-by-step explanation:

384/12= 32

32*100= 3200

Answer:

He earns $46.08 because that would be 12% of $384:)

Answer:

Value of x: 110

Step-by-step explanation:

5+5=10

120-10=110

Answer:

origen es la respuesta a ambas preguntas

Answer:

1)origen

2)origen

Step-by-step explanation:

have a good day

Answer:

f⁻¹(x)= - 4x/3 +8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

Answer:

Alternate interior angles, congruent, and supplementary

Step-by-step explanation:

They are on the opposite sides of the graph, but still located inside

Answer:

alternate exterior angles

Answer:

b=7

Step-by-step explanation:

7 squared is 49, so b equals 7. I hope that was what you were looking for, and that it helps.

Answer:

y = 2/3x + 4

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

-4, -3, -2, -1

Step-by-step explanation:

all the integers between -10 and 3

-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2

Answer:

-9, -8, 2, 1

Step-by-step explanation:

Integers are whole number that can either be positive or negative.

Answer:

C

Step-by-step explanation:

Answer:

463,800

Step-by-step explanation:

:) watch this be wrong lol

Answer:

No they are not intergers

Step-by-step explanation:

Hope this helps

Answer: median and interquartile range

Step-by-step explanation:

Answer:

-3 5/6

Here is what i did to solve it.:

-1 2/3 = -5/3, and -2 1/6 = -13/6.  The LCD is 6.

We convert -5/3 to -10/6 and combine this result with -13/6:

-10/6 - 13/6 = -23/6

This last result can be rewritten as -3 5/6.

Hope this help, stay safe and have a nice day! :))))))

Answer:

-3 5/6

Here is what i did to solve it.:

-1 2/3 = -5/3, and -2 1/6 = -13/6.  The LCD is 6.

We convert -5/3 to -10/6 and combine this result with -13/6:

-10/6 - 13/6 = -23