Mathematics High School

Hi. I need help with this questions.
See image for question
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Hi. I Need Help With This Questions.See Image For Question

Answers

Answer 1

Answer:

p = 3, q = 2/3, r = 14/3

Step-by-step explanation:

Given equationy = 3x² - 4x + 6To find

The constants p, q, r when

3x² - 4x + 6 = p(x - q)² + rSolution

The least value is at vertex of the parabola ax² + bx + c, with positive a

x and y -coordinates of the vertex is:

x = -b/2a = - (-4)/(2*3) = 2/3y = 3(2/3)² - 4(2/3) + 6 = 3(4/9) - 8/3 + 6 = 4/3 - 8/3 + 6 = 14/3

The vertex form is:

y = a(x-h)² + k, where (h, k) is the vertex

Applying the same formula to our equation:

3x² - 4x + 6 = 3(x - 2/3) + 14/3

The constants p, q and r are:

p = 3, q = 2/3, r = 14/3

Related Questions

the length of the garden should be 15 feet longer than its width and the area is less than 100 ft^2

Answers

Answer:

If the perimeter is 200feet (two lengths and two widths) then one width+one length equals 100feet.

If the length is 10 feet longer than the width, then length = 55 feet, and width =45 feet

Therefore the area of the rectangle is 45x55 feet, which equals 2475 sq.ft

Step-by-step explanation:

Hi! Nice to meet you and have a great day

Answer:

If the perimeter is 200feet (two lengths and two widths) then one width+one length equals 100feet.

If the length is 10 feet longer than the width, then length = 55 feet, and width =45 feet

Therefore the area of the rectangle is 45x55 feet, which equals 2475 sq.ft

22) Answer the inequality statement relating the two angles. Also please don’t answer if you don’t know it but if you do I’ll mark you as brainiest!

A) <
B) =
C) >
D) None of the above

Answers

Answer:

A) <

angle X is greater .

Step-by-step explanation:

really don't know how to...

Answer:

> im pretty sure mke sure you pay attention in class if im not correct

Step-by-step explanation:

.

Help please!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation: i really don't understand the question but can you explain it more to me

Use the distributive property to write the following expressions in expanded form. e ( f + g )

Answers

Answer:

ef + eg

Step-by-step explanation:

Distributive Property: a(b +c) = (a*b) + (a*c)

e(f +g) = e*f + e*g

           = ef + eg

Mary goes from the house to the tree. Then she goes from the tree to the lake how many miles did she go in all?

Answers

Answer:

not possible u have to give some unit of measuremant or time or speed

Step-by-step explanation:

idont even know i be stupid

I need help on questions 2 and 4​

Answers

Answer:

Step-by-step explanation:

1). There is 5 hours between 8:15 A.M. and 3:15 P.M.

7 × 60 - 10 = 410 minutes

2). 6 hours and 50 minutes

3). Right angle (90°)

4). Obtuse angle (120°)

Find the equation of the line shown

Answers

[tex]y = \frac{1}{2} x[/tex]

Answer:

y = 1/2x

Step-by-step explanation:

Hope this helps!

three softball players wrote down their batting average:
Amy wrote 12 of 30
Sue wrote .34
kit wrote 9/21
who is a better hitter?​

Answers

Answer:

the better hitter is Kit is the better hitter

Step-by-step explanation:

9/21 is the greatest so hope that helps.

Ast year, Saleh opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 23.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?

Answers

Given:

Initial amount = $8600

The amount in the account had decreased by 23.5%.

To find:

Decrease in amount and amount at the end of last year.

Solution:

The amount in the account had decreased by 23.5%. So,

Decreased amount = 23.5% of 8600

[tex]=\dfrac{23.5}{100}\times 8600[/tex]

[tex]=23.5\times 86[/tex]

[tex]=2021[/tex]

Now, the amount at the end of the last year is

Amount = Initial value - Decreased value

[tex]Amount=8600-2021[/tex]

[tex]Amount=6579[/tex]

Therefore, the decreased value is $2021 and the amount at the end of last year is $6579.

The student scored 25 points out of 45. What was their percentage (grade)?

Answers

Answer:

56%

Step-by-step explanation:

25/45=0.5555555555... rounded to 56%

A train travels with a constant speed of 108 km/h. How long will it take to travel a distance of 270 kilometers? PLEASE HELLLLLLPPPP THERE BRAINLIEST

Answers

Answer:

The answer is 2.5 hours. That's how long it would take the train to travel 270 kilometers.

mark me brainliest!

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1? f(x) = (x – 2i)(x – 3i) f(x) = (x + 2i)(x + 3i) f(x) = (x – 2)(x – 3)(x – 2i)(x – 3i) f(x) = (x + 2i)(x + 3i)(x – 2i)(x – 3i)

Answers

Answer:

[tex]P(x)=(x-2i)(x-3i)[/tex]

Step-by-step explanation:

Build a Polynomial Knowing its Roots

If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:

[tex]P(x)=a(x-x1)(x-x2)...(x-xn)[/tex]

Where a is the leading coefficient.

Note the roots appear with their signs changed in the polynomial.

If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:

[tex]P(x)=1(x-2i)(x-3i)[/tex]

[tex]\mathbf{P(x)=(x-2i)(x-3i)}[/tex]

Answer:

a

Step-by-step explanation:

edge

25 ate only breakfast, 15 ate only lunch, 50 ate only dinner, 60 ate only lunch and breakfast, 225 ate only lunch and dinner, 500 ate only dinner and breakfast, 240 ate all three meals in the cafeteria.
. P(did not eat in the cafeteria) what is the possibility

Answers

Answer:so u asking how much was ate total?

Step-by-step explanation:

32 ft/h = ___ yd/day

Answers

Answer:

32 ft/h= 256 yd/day

Answer:

1 and 1/3 day or 1 day and 8 hours

Step-by-step explanation:

I am assuming that h means hour and day means day

24 hours in a day

32-24=8

32 hours = 1 day and 8 hours

Are 1/2 and 2/1 perpendicular or parallel?

Answers

Answer:

parallel

Step-by-step explanation:


Can someone explain to me how to do this please

Answers

Answer:

3524 m

Knowledge required :

1000m = 1km

Now,

3.524 × 1000 m

= 3524m

Hence, the answer is 3524m.

Explain, step by step, how to arrive at a single rational number to represent the following expression. Show both a written explanation and the related math work for each step. 1 - 3/4 + (-12 1/4)

Answers

Answer:

-30

Step-by-step explanation:

first you should complete the equition of bracket

1-3/4+(-121/4)

= 1-3/4+(-30.25)

= 1-0.75+(-30.25)

=0.25+(-30.25)

=-30

hence the right answer is -30 :)

help asap please !!!

Answers

Answer:

ROTATION

Step-by-step explanation:

I’m not sure, but I kinda have a feeling is b or d. Good luck!

Please help please help​

Answers

Answer:

101, 201, 301, 401, 501

Step-by-step explanation:

These are the first five multiples of 101

:D

An 18-pound bag of dog food is $27. What is the constant of proportionality that relates cost in dollars, y, to the number of pounds of dog food, x ?

Answers

Constants of proportionality are involved with direct variation. Direct variation takes the form y = kx where y is the dependent variable; k is the constant of proportionality; and x is the independent variable. The formula for this problem is: 27 = k(18). When you divide both sides by 18, you find that k = 3/2.
Hope this helps

my teacher was sharing his screen and he forgot and he was looking at this girls Instagram and it was a student in my class she was so embarrassed.

Answers

Answer:

LOL

Step-by-step explanation:

Answer:

hahaha bro maybe he was in love with her

Step-by-step explanation:

Help please someone I’m very confused

Answers

Answer:240

Step-by-step explanation:

The y int in this equation represents the starting amount and the y int is 240 miles

6 miles is about how many km?

Answers

Answer: 6 miles is 9.656064km

19.2=6u Please help what is the answer???????

Answers

Answer:

3.2

Step-by-step explanation:

19.2=6u

19.2/6=u

192/60=u

u=3.2

3.2 is the answer

find the value of c that completes the square

x^2-6x+c

please help me with the math problem and show me how to do these kinds.

Thank you.

Answers

Answer:

The answer is 9

Step-by-step explanation:

for the equation:

move the -6x

x^2 + c - 6x

To find c :

c = (b/2)^2

this means you have to divide the coefficient of x by 2 then square the result

If you dont understand I put a picture of all the steps

Find the sum of the second 5 termsof the geometric a ries 3+6+12​

Answers

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

daddy chill

Are these triangles congruent if so what what theorem can be used?
1. SSS
2. SAS
3. ASA
4. AAS
5.HL
6. NOT CONGRUENT

Answers

Answer:

it should be SSS but if not that then not congruent

Step-by-step explanation:

Write \sqrt{-40}
−40
​
in simplest radical form.

Answers

Answer:

2*{2*i*√(10) - 20}

Step-by-step explanation:

i will interpret your expression as being

sqrt{-40}  − 40.  The first term factors to

sqrt{-4*10)

and the second stays as is.  

Then we have

sqrt(-4*10) - 40, or

i*2*sqrt(10) - 40, or

2*{2*i*sqrt(10) - 20}, or

2*{2*i*√(10) - 20}

Need help asap!! Tyyy

Answers

Answer:

42y + 12

Step-by-step explanation:

Simplify by applying the distributed property:

6 × 7y = 42y6 × 2 = 12Put them together: 42y + 12

I hope this helps!

help please True or false 15=11m.

if m=4?

Answers

Answer:

False

Step-by-step explanation:

If F=4 that means 11 x 4 = 44 and 15 does not equal 44.

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