Which of the following equations is of a parabola with a vertex at (1, 2)?
O y = (x - 1) 2 - 2
Oy= (x - 1)2 + 2
O y = (x + 1)2 - 2
O y = (x + 1)2 + 2

Answers

Answer 1

Answer:

the second option: (x-1)squared +2

Explanation:

The x value of the vertex can be found in the parenthesis after the x. However, you have to do the opposite value of it. So, since the paranthesis has (x-1) then that means that the vertex's x-value has to be 1.

For the y-value of the vertex, that can be found after the paranthesis. This value will not be used as the opposite like with the x-value. So, we know that in (x-1)^2 +2 the "+2" indicates the y-value to be 2.


Related Questions


What is 6 divided by 3/8?

Answers

Answer:

16

Step-by-step explanation:

[tex]6 \div \frac{3}{8} = 6 \times \frac{8}{3} \\ [/tex]

[tex] = \frac{6 \times 8}{3} \\ \\ = \frac{48}{3} =1 6[/tex]

the answer is 16

hope this helps ! :)<3

I need step by step solution.

Answers

Answer: it is an exponential decay function

Step-by-step explanation:

Since 0.3 is less than 1 then increasing the value of the x will lead to the decrease of the value function y

Hi! Can you help me answer this?

Answers

Answer:

[tex]C'(x)=-\frac{148}{x^2}[/tex]

[tex]R'(x)=-0.06[/tex]

Step-by-step explanation:

Marginal average Cost function:

[tex]\frac{d}{dx}(\frac{148+6.3x}{x})=-\frac{148}{x^2}[/tex]

Marginal average Revenue function:

[tex]\frac{d}{dx}(\frac{3x-0.06x}{x})=-0.06[/tex]

Answer:

Step-by-step explanation:

yess

simplify using distributive property
2396 X 78 + 2396 X 22 ​

Answers

Answer:

239600

Step-by-step explanation:

2396 × 78 + 2396 × 22 ​=2396 × (78 + 22) ​=2396 × 100 =239600

[tex]\boxed{\sf a(b+c)=ab+ac}[/tex]

[tex]\\ \sf\longmapsto 2396\times 78 +2396\times 22[/tex]

[tex]\\ \sf\longmapsto 2396(78+22)[/tex]

[tex]\\ \sf\longmapsto 2396(100)[/tex]

[tex]\\ \sf\longmapsto 239600[/tex]

Sets L and M are defined as follows.
L={-1,1,4,5,7,8)
M={1,2,7)
Answer each part below. Write your answer in roster form or as Ø.
(a) Find the union of L and M.

(b) Find the intersection of L and M

Answers

Answer:

the union of l and m is minus 1,1,2,4,5,7,8.....and the intersection of l and m is 1.......

How to find Joint and Combined variation?

Answers

Answer:

W is multiplied by 8

Step-by-step explanation:

If W varies jointly with x, y, and z, we can say that

W = k (xyz), with k being a constant for our original equation. We are asked what will happen to W if x, y, and z are each doubled. To figure this out, we can go back to our equation,

W = k (xyz)

First, we can double x, meaning that we multiply it by 2. Doing this, we get

W = k (2x * y * z)

Then, we can double y and z in a similar fashion, resulting in

W = k (2x * 2y * 2z)

W = 8 * k (xyz)

The new W, after all the doubling, is equal to 8 * k * x * y * z. The old W is equal to k * x * y * z. It can be determined that the new W is equal to 8 * the old W, so W is multiplied by 8

solve and reduce to lowest term 7/13+3/13

Answers

Answer:

Step-by-step explanation:

10/13

Answer: 10/13

Explanation:

= 7/13 + 3/13

Its like fraction

= 10/13

Its already in lowest terms

Must click thanks and mark brainliest

Is the relationship shown by the data linear? If so, model the data with an equation.

Answers

Answer:

4th option

Step-by-step explanation:

The relationship is linear,

putting the value of x in the right side of the equation of option 4, you'll get the value of the left side

putting, x=1

y+4=-1/2(x-1)

y=-1/2(1-1)-4

y=-4

putting, x=7

y+4=-1/2(7-1)

y=-1/2(6)-4

y=-6/2-4

y=-3-4

y=-7

Please Help I will give you a lot of points if you do!

Answers

Recall that ab   ⇔   ¬ab. So we can write

q ⇒ (pr )   ⇔   ¬q ∨ (pr )

Then the negation of this would be, for instance,

¬(¬q ∨ (pr ))   ⇔   ¬(¬q) ∧ ¬(pr )

…   ⇔   q ∧ (¬p ∨ ¬r )

…   ⇔   (¬pq) ∨ (q ∧ ¬r )

…   ⇔   ¬(p ∨ ¬q) ∨ (q ∧ ¬r )

…   ⇔   (p ∨ ¬q) ⇒ (q ∧ ¬r )

It's impossible to tell what kind of statement your program is expecting, but since there are 5 slots available, my money would be on q ∧ (¬p ∨ ¬r ), so long as ¬p and ¬r are options.

PLEASE HELP

-6/5k = 12

Show your work in details if you can, I have a hard time understanding this.

Answers

[tex] \begin{cases}\large\bf{\green{ \implies}} \tt \: \frac{6}{5} \: k \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: \frac{6k}{5} \: = \: 12 \\ \\ \large\bf{\green{ \implies}} \tt \: 6k \: = \: 12 \: \times \: 5 \\ \\ \large\bf{\green{ \implies}} \tt \: 6k \: = \: 60 \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: \cancel\frac{60}{6} \\ \\ \large\bf{\green{ \implies}} \tt \: k \: = \: 10 \end{cases}[/tex]

Answer:

k = -10

Step-by-step explanation:

In order to solve for k, we need to isolate the variable. This means we need k to be on one side of the equation by itself.

We are given:

[tex]-\frac{6}{5}k=12[/tex]

The first thing I would do is multiply both sides of the equation by 5:

[tex](5)-\frac{6}{5}k=12(5)[/tex]

This leaves us with:

[tex]-6k=60[/tex]

Now, in order to get k by itself, we need to divide by -6 on both sides:

[tex]\frac{-6k}{-6}=\frac{60}{-6}[/tex]

Therefore:

[tex]k=-10[/tex]

Convert 16,000 feet per second into kilometers per hour. step by step​

Answers

16,000 ft/s = 17,556.48 km/h

Previous studies suggest that use of nicotine-replacement therapies and antidepressants can help people stop smoking. The New England Journal of Medicine published the results of a double-blind, placebo-controlled experiment to study the effect of nicotine patches and the antidepressant bupropion on quitting smoking. The target for quitting smoking was the 8th day of the experiment.
In this experiment researchers randomly assigned smokers to treatments. Of the 162 smokers taking a placebo, 28 stopped smoking by the 8th day. Of the 272 smokers taking only the antidepressant buproprion, 82 stopped smoking by the 8th day.
Calculate the 99% confidence interval to estimate the treatment effect of buproprion (placebo-treatment). (The standard error is about 0.0407. Use critical value z = 2.576.)
( ), ( )
Round your answer to three decimal places. Put lower bound in the first box and upper bound in the second box.

Answers

Using the z-distribution, it is found that the 99% confidence interval to estimate the treatment effect of buproprion (placebo-treatment) is (-0.234, -0.024).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm zs[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.s is the standard error.

In this problem, we are given that z = 2.576, s = 0.0407. The sample mean is the difference of the proportions, hence:

[tex]\overline{x} = \frac{28}{162} - \frac{82}{272} = -0.129[/tex]

Then, the bounds of the interval are given by:

[tex]\overline{x} - zs = -0.129 - 2.576(0.0407) = -0.234[/tex]

[tex]\overline{x} + zs = -0.129 + 2.576(0.0407) = -0.024[/tex]

The 99% confidence interval to estimate the treatment effect of buproprion (placebo-treatment) is (-0.234, -0.024).

More can be learned about the z-distribution at https://brainly.com/question/25890103

find the value of the trigonometric ratio. make sure to simplify the fraction if needed

Answers

Answer:

12/5

Step-by-step explanation:

since we are dealing with the angle at Z, we consider Z also to be the center of a circle.

then 10 is the radius of this circle.

24 is tan Z in this circle with radius 10.

tan Z in the standard circle with radius 1 is simply 1/10 of the tan Z in the circle with radius 10.

so, tan Z = 24/10 = 12/5

Find hyperbola equation. center (0,0) vertex (-2,0) focus (-5,0)

Answers

[tex] \frac{ {x}^{2} }{4} - \frac{ {y}^{2} }{21} = 1[/tex]

[tex] \frac{(x - h)^{2} }{ {a}^{2} } - \frac{(y - k) ^{2} }{ {b}^{2} } = 1 \\ [/tex]

a= (–2, 0) ; Center =(0,0)

[tex]distance = \sqrt{(x2 - x1)^{2} + (y2 - y1) ^{2} } \\ a = \sqrt{(( - 2) - 0)^{2} + (0 - 0) ^{2} } \\ a = \sqrt{ {2}^{2} } \\ a = 2[/tex]C = (–5,0) ; Center =(0,0)

[tex]distance = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } \\ c = \sqrt{(( - 5) - 0)^{2} + (0 - 0) ^{2} } \\ c = \sqrt{ {5}^{2} } \\ c = 5[/tex]

C²= a²+ b²(5)²= (2)² + b²b²= 25–4 —> b² = 21

[tex]b = + \sqrt{21} , - \sqrt{21} [/tex]

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{0 - 0}{0 - ( -5 )} = 0[/tex]

[tex] \frac{(x - h)^{2} }{ {a}^{2} } - \frac{(y - k) ^{2} }{ {b}^{2} } = 1 \\ [/tex]

[tex]\frac{(x - 0)^{2} }{ {2}^{2} } - \frac{(y - 0) ^{2} }{ { \sqrt{2} }^{2} } = 1 \\ [/tex]

[tex] \frac{ {x}^{2} }{4} - \frac{ {y}^{2} }{21} = 1[/tex]

I hope I helped you^_^

A person of height 2m observes the angle of elevations of the top of a Pole 62m height which is in front of him and finds it to be 45. find the distance between the person end the pole . ​

Answers

Answer: d = 62

Explanation:

distance from pole to person = adjacent
Height of pole = opposite
Angle(theta) = 45°

We can use tan(theta) = opp/adj to figure out the distance.

tan(45°) = 62/adj
1 = 62/adj
adj = 62m

Thus, adj = distance = 62m

(a + b + c) power of 10 - abc



Tip
A=1
B=2
C= -3

Answers

[tex]\\ \rm\longmapsto (a+b+c)^{10}-abc[/tex]

[tex]\\ \rm\longmapsto (1+2-3)^{10}-(1)(2)(-3)[/tex]

[tex]\\ \rm\longmapsto (3-3)^{10}+6[/tex]

[tex]\\ \rm\longmapsto 0^{10}+3[/tex]

[tex]\\ \rm\longmapsto 0+3[/tex]

[tex]\\ \rm\longmapsto 3[/tex]

(a+b+c)^10-abc

= (1+2-3)^10-(1×2×-3)

= 0- (-6)

=6 answer.....

the perimeter of a square room is 48m,how much square carpet is requried to cover it ?​

Answers

Answer:

144

Step-by-step explanation:

perimeter of square=48 ( formula= 4*a )

a= 48/4

= 12

area= a*a

=12*12

=144

A restaurant is doing a special on burgers. If the home team get a sack, the next day, burgers will cost$1.00
Normally, they cost $3,99. If every fan who attended the game (86,047 people) buys a $1.00 burger, how much
money did the restaurant lose with this discount?

Answers

3.99-1 = 2.99 they lose 2.99 per burger

Multiply the number of people by the amount lost per burger:

2.99 x 86,047 = 257,280.53

They would lose: $257,280.53

Answer:

86043.01

Step-by-step explanation:

if chaka,ada and ese are to share 120 oranges with the ratio of 1:2:3 respectively. How many oranges does ada have?.​

Answers

Answer:

40

Step-by-step explanation:

1+2+3=6

1/6×120=20

2/6×120=40

3/6×120=60

Pls give this anwere with explanation spammer will be reported ​

Answers

Answer:

Whole number —> X

Twice the square of the number —> 2X²

X + 2X² = 10

2X²+X –10 =0

(2x + 5) ( x–2) =0

2x +5=0 —> 2x= – 5 —> x= – 5/2 = —> x= - 2.5 (rejected)

x–2=0 —> x= 2

So Ans ; X= 2 ( the number )

I hope I helped you^_^

The sum of twice a number and 3 times the same number as 40. What is the number?

Answers

Answer:

Let the number be x

According to Question ,

2x + 3x = 40

5x = 40

x = 8

therefore , the number is 8

hope that helps uh...

Let the number be x

help please I need help
pls

Answers

Answer:

23. -9+2y

24. 6x=5

Step-by-step explanation:

27-6y/-3

3(9-2y)/-3

-(9-2y)

-9+2y

2(6x+5)/2 . cancel 2

6x+5

Answer: (Depends what grade you're in)

Step-by-step explanation:

In the 30-60-90 triangle below, side s has a length of__and side q has a
length of
30°
g
8
90°
60"
S
O A. 16-3,5
OB. 1613, 16-3
O C. 4,8-13
O D. 8-5, 16
O E. 4, 4.5
O F. 4/2, 412

Answers

Answer:

Option E, 4, 4√3

Step-by-step explanation:

s = 4

q = 4√3

Write the equation of the line that passes through the points (- 4, - 3) and (3, - 5) . Put your answer in fully reduced slope intercept form, unless it is a vertical or horizontal line

Help:(

Answers

Answer:

y = (-2/7)x - (29/7)

Step-by-step explanation:

please help me!

find x​

Answers

Answer:

√13 miles

Step-by-step explanation:

Using Pythagorean Theorem,

h^2=p^2+b^2

Here,

h=x

p=2miles( taking the angle opposite to 2miles as reference)

b=3miles

Now,

x^2=2^2+3^2

x=√(4+9)

x=√13 miles

For this question x=13miles

HLP HLP 10 10 10 HLP HLP HLP

W

Answers

Answer:

A. 6²¹

Step-by-step explanation:

When you have a number raised to the power in that form, you have to multiply the powers:

(6⁷)³

7×3 = 21

(6⁷)³ = 6²¹

Answer:

A. 6 raise to 21

Step-by-step explanation:

its a formula if:

a raise to m whole raise to n = a raise to m×n

so here

          6 raise to 7 × 3

         that is 6 to the power of 21

I need the answer explained

Answers

Answer:

1.33

Step-by-step explanation:

62 can only be subtracted from 82 once. So 82.46-62 would be 20.46. Since you can't subtract anymore you put a decimal point. 62x3=186 and 20.46-186=1.86 and you can subtract 186-186=0.

What is the volume of a cylinder with a radius of 2 ft and a height of 8 ft.

Use 3.14 for pi, round your answer to the nearest hundredth if necessary, and do not include units.

Answers

Answer:

100.48

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = 3.14 ( 2)^2 * 8

V = 3.14 (4)(8)

V = 100.48

find the value of x. help with geometry pls

Answers

Answer:

Find the value of x:-

To find Y, use Pythagorean theorem:- [tex]c^{2} =a^{2} +b^{2}[/tex]

[tex](2.1)^{2} =y^{2} +(1.4)^{2}[/tex]

[tex]2.1^{2}=4.41[/tex]

[tex]1.4^{2} =1.96[/tex]

[tex]4.41=y^{2} +1.96[/tex]

subtract 1.96 from both sides

[tex]2.45=y^{2}[/tex]

[tex]y=1.5652[/tex]

Now, to find x:-

[tex]x=y+y[/tex]

[tex]= 1.5632+1.5652[/tex]

[tex]x=3.1 \: ft[/tex]

~OAmalOHopeO

look at the image below

Answers

Answer:

1520.5 yd²

Step-by-step explanation:

Surface area of a sphere = 4πr², where r is the radius

so,

4πr²

= 4×π×11²

= 484π

= 1520.5 yd²

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