Help me out please, should be easy

[tex]===============================[/tex]

In order to find the vertex of a parabola, we use the following formula:

[tex]\bold{\displaystyle\frac{-b}{2a} }}[/tex]

Remember, a parabola looks like so:

[tex]\tt{y=ax^2+bx+c}[/tex]

Now we know what a and b stand for.

In this case, b is -4, and a is -1:

[tex]\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}[/tex]

Simplify:

[tex]\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}[/tex]

Divide:

[tex]\hookrightarrow\sf{-2}[/tex]

[tex]===================================[/tex]

[tex]\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}[/tex]

Answer:

the measure of 3 is 80 because its l is parlell to r so 80 will be vertical with 3

Step-by-step explanation:

[tex]xy - 2x = - 3[/tex]

[tex]xy = 2x - 3[/tex]

____________________________________________

[tex]3 {x}^{2} + 5xy + 4 = 0[/tex]

[tex]3 {x}^{2} + 5(2x - 3) + 4 = 0[/tex]

[tex]3 {x}^{2} + 10x - 15 + 4 = 0[/tex]

[tex]3 {x}^{2} + 10x - 11 = 0[/tex]

[tex]delta = {10}^{2} - 4(3)( - 11)[/tex]

[tex]delta = 100 + 132[/tex]

[tex]delta = 232[/tex]

Thus;

[tex]x = \frac{ - 10 + \sqrt{232} }{6} \: \: or \: \: x \frac{ - 10 - \sqrt{232} }{6} \\ [/tex]

[tex]x = \frac{ - 10 + 15.23}{6} \: \: or \: \: x = \frac{ - 10 - 15.23}{6} \\ [/tex]

[tex]x = \frac{5.23}{6} \: \: or \: \: x = \frac{ - 25.23}{6} \\ [/tex]

[tex]x = 0.8716 \: \: or \: \: x = - 4.205[/tex]

____________________________________________

[tex]0.8716 \: y = 2(0.8716) - 3[/tex]

[tex]0.8716 \: y = 1.7432 - 3[/tex]

[tex]0.8716 y= - 1.2568[/tex]

[tex]y = \frac{ - 1.2568}{0.8716} \\ [/tex]

[tex]y = - 1.4419[/tex]

[tex] - 4.205 \: y = 2( - 4.205) - 3[/tex]

[tex] - 4.205 \: y = - 8.410 - 3[/tex]

[tex] - 4.205 \: y = - 11.410[/tex]

[tex]y = \frac{ - 11.410}{ - 4.205} \\ [/tex]

[tex]y = 2.7134[/tex]

And we're done

Have a great day ♡

Answer:

(0,5)

Step-by-step explanation:

I'm really not sure but I'm pretty positive that this is the answer if not than my bad

The rate which the walk-in guest is how fast a guest needs a room

The rate which the walk-in guest pay for the night is $189.75

The given parameters are:

Average rate = $165 per night

The walk-in guest is 15% greater than the average rate.

So, the rate of the walk-in guest is:

Walk-in = 165 * (1 + 15%)

Evaluate the product

Walk-in = $189.75

Hence, the rate which the walk-in guest pay for the night is $189.75

Read more about rates at:

https://brainly.com/question/8728504

Answer:

Sample 1

Step-by-step explanation:

Answer:

  CE ≈ 8.24 units

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = 2πr

Your circle has a radius CD of 4 units, so its circumference is ...

  C = 2π(4 units) = 8π units

__

The arc of interest is 118°. The whole circle is 360°, so the length of the arc is 118/360 times the circumference of the circle:

  CE = (118/360)(8π units) ≈ 8.24 units

Answer:

See below ↓

Step-by-step explanation:

Part A

Part B

Part C

Answer:

Part A

The x-intercepts are when f(x) = 0.

Since x represents the price of pens, and f(x) represents the company's profit, the x-intercepts give the price of the pens when the profit is zero.

⇒ the profit is zero when the price of pens are $0 and $6

The maximum value of the graph (vertex) represents the cost of pens when the profit is at its highest.  Therefore, the optimal amount to price the pens to get the maximum profit.

⇒ maximum profit of $120 occurs when the pens are priced at $3

Part B

[tex]\sf average \ rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]

From inspection of the graph, f(3) = 120 and f(5) ≈ 60

[tex]\sf \implies average \ rate \ of \ change=\dfrac{60-120}{5-3}=-30[/tex]

This means that as the price of the pens increases by $1 (between $3 and $5), the average profit decreases by approximately $30.

Part C

The domain is the set of input values (x-values).  As the price of a pen cannot be less than zero, the domain will be x ≥ 0

Unless the company is happy to make a loss, the restricted domain should be 0 ≤ x ≤ 6

Let's solve this step by step:

  *the first digit cannot have '0' as its first digit since it would make the

  number one-digit

Total Choice: 9 choices * 10 choices = 90 choices

Hope that helps!

The outputs are addition of 4 to their inputs therefore,if the input is n then the output will also be an addition of 4 hence n+4

A: 1.9 Kilograms of oranges for rs 665.

B: 12 liters of petrol will make a car travel 120 km.

Step-by-step explanation:

1.3+1.45/2

= 1.75/2

=0.875

Answer:

1 container per batch so 1 batch is 1 comtsiner

Answer: 200 seconds

Okay - so then Oliver would take 3 minutes and 20 seconds. There are 60 seconds in a minute so it would be 30 times 60 = 180 + 20 = 200

For a monthly sales figures at 5600 and expected to fall for the following 9 months at a rate of 2% each month, the  total sales for the next two years  is mathematically given as

A=11968.04

Generally,  the  total sales  is mathematically given as

A=5600(1-2/100)^9(1+4/100)^24

A=5600(.98)^9(1.04)^24

A=11968.04

In conclusion, total sales for the next two years

A=11968.04

Read more about Arithmetic

https://brainly.com/question/22568180

Answer:

3 > x

Step-by-step explanation:

3 is larger than all of the values on the line, of which the arrow is pointing. The circle is open, so it means that it is not greater than or equal to.

I hope this helps!

-No one

in 20 days 4 half life will be completed

so n = 4

formula :-

[tex] \frac{ A\degree}{ {2}^{n} } = \frac{9056}{ {2}^{4} } = \frac{9056}{16} = 566grams[/tex]

The radioactive kind of promethium will have 566 grams left after 20 days.

Half-life is the time required for a quantity to reduce to half of its initial value.

Given, A radioactive kind of promethium with 9,056 grams and a half-life is 5 days.

∴ In the next 5 days, it'll have (9056/2) = 4528 grams.

Next 5 days it'll have (4528/2) = 2269 grams.

As it has a half-life in 5 days and 20 is multiple (4×5).

After 20 days the radioactive material will have (9056/2⁴) grams.

= 566 grams left.

learn more about half-life here :

https://brainly.com/question/16387602

#SPJ2

Answer:

x = -3.5

y = 1.5

so W = (-3.5, 1.5)

Step-by-step explanation:

Answer:

(x+2)^2 + (y-4)^2 = 65

Step-by-step explanation:

r^2 = (4-(-4))^2 + (-1-(-2))^2 = 65

center = (-2, 4) so you add 2 to x and subtract 4 from y

Answer:

[tex]10 \frac{9}{25} [/tex]

Step-by-step explanation:

[tex] \bigg( \frac{3}{5} \bigg)^{2} + 4 \times 3 - 2 \\ \\ = \frac{9}{25} + 12 - 2 \\ \\ = \frac{9}{25} + 10 \\ \\ = \frac{9 + 10 \times 25}{25} \\ \\ = \frac{9 + 250}{25} \\ \\ = \frac{259}{25} \\ \\ = 10 \frac{9}{25} [/tex]

Answer:

Step-by-step explanation:

Line segments:  MN ,  NO  , MO

Line segment has beginning and ending point

Answer:

Step-by-step explanation:

1.  If y =2x

solve for y in (6x +3y) = 12

6x + 3(2x) = 12,   6x + 6x =12

12x = 12 ,  x= 1

to find y ,   from y =2x

y = 2(1)  , ( x = 1 and y = 2)

2.  y = -4x + 2

    y = 6x -8

y = (-4x + 2)(6x-8)

= -4x ( 6x -8) + 2(6x-8)

-24[tex]x^{2}[/tex] + 32x + 2(6x-8)

-24x2 + 44x - 16

3.  y = x -4

  -4x -6y = -16

  -4x - 6(x - 4) = -16

 -4x - 6x - 24 = -16

-10x - 24 = -16

-10x = -16 + 24,   -10x = -8

x = 0.8 , to get y , we input x value into eqn(y = x-4)

y = 0.8 -4,   y = -3.2

x = 0.8,   y = -3.2.

4.  x = 3y + 1

 2x + 4y =12

2(3y + 1)  + 4y = 12

6y + 2 + 4y = 12

10y + 2 = 12

10y = 12 -2

10y = 10

y = 1,  to get x

x = 3y + 1

x = 3(1) + 1 ,  x = 4

( x = 4 and y = 1).

Answer:

x=23

Step-by-step explanation:

2x-6/4 = 10

2x-6 = 10(4)

2x-6 = 40

2x = 40+6

2x = 46

x = 46/2

x = 23

Answer:

16.

Step-by-step explanation:

Multiply 20 and 4/5 to get the result of who is going.

20 * (4/5)

(20*4)/5

80/5

16

16 friends will be going to the party.

Answer:

16 friends

Step-by-step explanation:

Out of 20 friends, 4/5 are going to the party. How many friends are going to the party?

4/5 * 20 or 20 * 4/5

[tex]\frac{4}{5}*20\\\\ \frac{4}{5} *\frac{20}{1} < ==reduce\\\\\frac{4}{1}* \frac{4}{1}\\\\\frac{16}{1} \\\\16[/tex]

Therefore, 16 friends are going to the party.

Hope this helps!

no. correct answer: 16(x)

using BODMAS rule:

Answer:

no they are not, explanation down.

Step-by-step explanation:

4(3x + x)

4(3×6 + 6)

4(18 + 6)

4(24)

96

12x

12×6

72

hope dis helps!!!!!

Answer:

Hope the picture will help

[tex]\frac{16}{7}[/tex]Answer:

X = -16/7

Step-by-step explanation:

Multiply the numbers

4 x 2 + 8 = -7x

8 + 8 = -7x

Add the numbers

8 + 8 = -7x

16= -7x

Divide both sides by the same factor

16= -7x

16 divided bu -7x and -7x divided by -7x

Simplify

-16 divided by 7 not negative 7 and -7 divided by -7

Cancel terms that are in both the numerator and denominator

cancel out -7 divided by -7 and you get -16/7 left

so, therefore x= -16/7

Answer:

706.5m^2

Step-by-step explanation:

The sign is a circle

Area of a circle is (pi)r^2

d = 30 in -> r = d/2  = 30/2 = 15

Area = 3.14 x (15)^2 = 706.5m^2

Answer:

about 706.5 or 706.86

Step-by-step explanation:

to find this answer we need to use the area formula of a circle which is A = πr ^2

we know the diameter is 30, and the radius is half the of diameter, so we take 30 and divide it by 2, which should give us 15 for the radius. ( 30/2 = 15, so r = 15)

depending on how your teacher wants u to answer this you can use π on a calculator or use 3.14

now just plug in your numbers to formula

A = 3.14 * 15^2 or A = π * 15^2

and should equal about 706.5 or 706.86 (depending on if you use 3.14 or π)

Answer: I think 5000

Step-by-step explanation:

I’m probably completely wrong lol sorry

Using it's concept, it is found that there is a [tex]\frac{11}{17}[/tex] probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, a total of 1 + 4 + 2 + 0 + 1 + 2 + 2 + 0 + 2 + 3 = 17 students were sampled.

Of those, 1 + 2 + 1 + 2 + 2 = 8 live in on campus housing, and 3 live off campus but are graduate students, hence there are 11 desired outcomes and the probability is given by:

[tex]\frac{11}{17}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

Answer: [tex]\frac{11}{14}[/tex]

Step-by-step explanation:

1) Identify Format

(x1,y1) = (−10,−3)

(x2,y2) = (4,8)

2) Use the Slope Formula

m=y2−y1x2−x1

=8−−3/4−−10

=11/14

=11/14

Bonus: Graph

Answer provided by Education Point