Find the focus and directrix of the parabola y = .5(x + 2)2 – 3​

Answers

Answer 1

Answer:

comparing equation with standard equation x 2 =4aya=2/5co-ordinates of focus =(o,a) i.e. (0, 2/5)equation of directrix=y=-a i.e. y=-(2/5)length of latus rectum= 4a i.e. 8/5co-ordinates of latus rectum=(-2a,a) and (2a,a) i.e. (-4/5,2/5) and (4/5,2/5)..

Step-by-step explanation:

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Related Questions

Answer is D , others say it’s 64 but I got it wrong

Answers

Answer:

Oh no I am sorry! If you want answers to be done the real way let me know

Answer:I'm so sorry for you but congrats you did get the answer right it's just the test I guess

Step-by-step explanation:

Help please I’m not sure what the answer for this one is no need to explain

Answers

Answer:

b.  e^9.45 = x

see last example and this explains whole numbers and decimals.

Step-by-step explanation:

Another example we can Solve  100=20e^2t .

Solution

100 = 20e^2t

5 = 20e ^2t

in 5 = 2t

Therefore  t = in5/ 2

Step 1 was ; Divide by the coefficient of the power

Step 2 was ; Take ln of both sides. Use the fact that ln(x) and ex are inverse functions

Step 3 was; Divide by the coefficient of t

Another example;

Solve  e^2x−e^x = 56 .

Solution

Analysis

When we plan to use factoring to solve a problem, we always get zero on one side of the equation, because zero has the unique property that when a product is zero, one or both of the factors must be zero. We reject the equation  e^x=−7  because a positive number never equals a negative number. The solution  ln(−7)  is not a real number, and in the real number system this solution is rejected as an extraneous solution.

Another example is;

Solve  e^2x=e^x+2 .

Answer

Q&A: Does every logarithmic equation have a solution?

No. Keep in mind that we can only apply the logarithm to a positive number. Always check for extraneous solutions.

Last example determines decimals ;

Solve  lnx =3 .

Solution

lnx^x=3=e^3

Use the definition of the natural logarithm

 

Graph below represents the graph of the equation. On the graph, the x-coordinate of the point at which the two graphs intersect is close to  20 . In other words  e^3≈20 . A calculator gives a better approximation:  e^3≈20.0855 .

The graph below represents the graph of the equation. On the graph, the x-coordinate of the point at which the two graphs intersect is close to  20 . In other words  e^3≈20 . A calculator gives a better approximation:  e^3≈20.0855 .

It shows values of graphs of  y=lnx  and  y=3  cross at the point  (e^3,3) , which is approximately  (20.0855,3) .

See graph below.

Cho f là hàm chẵn, g là hàm lẻ. Tính giá trị của (g∘f)(−4,7), biết g(5,9)=7,9 và f(4,7)=5,9.

Answers

Step-by-step explanation:

yah language mujhe samajh mein nahin a rahi hai kya karu aapki is bataiye

A line passes through the point (2, 3) and has a slope of -8. Write an equation for this line.

Answers

Answer:

y = -8x+19

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = -8x+b

Substitute the point into the equation

3 = -8(2)+b

3 = -16+b

Add 16 to each side

3+16 = b

19 = b

y = -8x+19

Step-by-step explanation:

to find the equation of this line you use the equation of the slope intercept which is y-y1= m (x-x1)

y-3=-8(x-2)

y-3=-8x+16

y=-8x+16+3

y=-8x+19

I hope this helps

As part of an enterprise day, Guramar and Gurnam baked 4 cakes. They gave 1/2 of one cake away to the staff. In the morning they sold 2 1/3 cakes and in the afternoon they sold 1 1/8. How much cake did they have left?

Answers

9514 1404 393

Answer:

  1/24 of a cake

Step-by-step explanation:

The remaining amount of cake was ...

  4 -1/2 -2 1/3 -1 1/8 = 4 -12/24 -2 8/24 - 1 3/24 = (4 -2 -1) -(12 +8 +3)/24

  = 1 -23/24 = 1/24

1/24 of a cake was left

_____

Basically, crumbs.

Find the area in the right tail more extreme than z=0.93 in standard normal distribution, rounded to three decimal places.

Answers

Answer:

17.62%

Step-by-step explanation:

z→   ρ

0.93 (L)0.82381 (R)0.17619

17.62% / 82.38%

The area in the right tail more extreme than z=0.93 in standard normal distribution is 17.62% rounded to three decimal places.

What is a normal distribution of data?

A normal distribution of data occurs when the majority of data points are relatively similar and the data set has a small range of values.

We need to find the area in the right tail more extreme than z=0.93 in standard normal distribution.

Here, z=0.93

z→  ρ

The mean ( the population mean, at 0.93 standard deviation units, and it represents an area that is, 17.619% of the total area of the standard distribution).

In this normal distribution, every given score is a z-score. A z-score explain us the distance from the mean in standard deviation units.

A = 17.62% / 82.38%

Hence, The area in the right tail more extreme than z=0.93 in standard normal distribution is 17.62% rounded to three decimal places.

Learn more about standard deviation and variance:

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What types of concurrent constructions are needed to find the incenter of a triangle?

A. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side
B. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex
C. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint
D. intersection of the lines drawn to bisect each vertex of the triangle

Answers

The answer is D

Intersection of the lines drawn to bisect each vertex of the triangle.

Express as index form
log 2 64 = 6

Answers

Answer:

hsv s deutsche ki bhar ke dekhte hai mera gham na

Simplify the product. (–7) + (–7) + (–7) + (–7)

Answers

Answer:

-28

Step-by-step explanation:

(–7) + (–7) + (–7) + (–7)

=> -7 -7 -7 -7

=> - 28

forty-six times y is no more than 276.

Answers

Answer:

yip that's all

Step-by-step explanation:

not more than 276 means less or equal to 276,

46 × y 276

y 6

Answer:

46y<276

Step-by-step explanation:

no more than means less than or equal to.

At which times could Rory's phone have been plugged into the charger? Select three options.

Answers

Answer:

what three options bro where are the options

Answer:

9 hours, 11 hours, 19 hours.

answered • expert verified
If the total income generated from gasoline for aer was 408 million, how much would be the cost for a barrel of gasoline.
It's a pie chart.

gasoline 34%
Kerosene 14%
lubricated oil 4%
Other products 18%
Diesel 29%

A.) $16,
b.) $18,
c.) $20,
d.)$ 22,
e.) $24

Answers

The cost of one barrel of gasoline given the total amount made from all the barrels sold is $20.

What is the cost of one barrel of gasoline ?

A pie chart is a graph that displays information using a circle. The circle is divided into sections which represent a numerical proportion. The sum of percentages in a pie chart is 100%.

The first step is to determine the number of barrel of gasoline.

Number of barrels of gasoline = percentage of gasoline x number of barrels

34% x 60 million

0.34 x 60 million = 20.4 barrels

The second step is to divide the total amount generated from the sales by the number of barrels.

Cost of one barrel of gasoline = 408 million / 20.4 million = $20

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Which of the following graphs shows a parabola with a vertex of (1,-9) and solutions of (-2,0) and (4,0)?

Answers

Answer:

Hello,

Step-by-step explanation:

Roots are -2 and 4

y=k*(x+2)(x-4)

Vertex = (1,-9) is a point of the parabola

-9=k*(1+2)(1-4) ==> k=1

Equation of the parabola is y=(x+2)(x-4)

But you don' t have given the graphs !!!!

The graph show a parabola with a vertex that has Roots are -2 and 4.

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

Given that,

The vertex of (1,-9) and solutions of (-2,0) and (4,0).

y = k*(x+2)(x-4)

Vertex = (1,-9) is a point of the parabola

-9 = k*(1+2)(1-4)

Substitute the value of k = 1 in the equation,

The equation of the parabola is y = (x+2)(x-4).

The graph show a parabola with a vertex that has Roots are -2 and 4.

Learn more about the parabola here:

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what is twice the amount of 86

Answers

Answer:

172

Step-by-step explanation:

[tex]86[/tex] × 2 = 172

172, if you take 86 and multiply it by 2 it will give you 172. Basically do this-

HELP WHAT DOES THIS EVEN MEAN [CRY]

Answers

Radius=r=5cm.

[tex]\\ \sf\longmapsto A=πr^2[/tex]

[tex]\\ \sf\longmapsto A=3.14(5)^2[/tex]

[tex]\\ \sf\longmapsto A=3.14(25)[/tex]

[tex]\\ \sf\longmapsto A=78.5cm^2[/tex]

HELP ILL GIVE BRAINLIESTTTT

Evaluate and simplify the expression
when a = 3 and b = 2.
3b – 2(1 – b)
[?]
a - 2

Answers

Answer:

11

Step-by-step explanation:

plz watch all steps in pic

first person to coment on this gets a brainliest

Answers

Answer:

..?.

Step-by-step explanation:

Identify the x-intercept point(s) of the parabola.
A) (0,3) and (-1,0)
B) (3,0)
C) (3,0) and (0,3)
D) (-1,0) and (3,0)

Answers

Answer:

D

Step-by-step explanation:

First of all, there are 2 different points. That lets out B.

The graph crosses the x axis at 3 and -1 Those two are x values. That lets out C and A.

So all you are left with is D. The y values have to be 0. The x values are 3 and - 1

Find f(2) given f(x) = -3x^3 + x^2 – 3

Answers

Answer:

D

Step-by-step explanation:

f(x) = -3x^3 + x^2 – 3       f(2) means that wherever you see a x, put in a 2.

f(2)= -3(2)^3 + (2)^2 - 3

f(2) = -3*8 + 4 - 3

f(2) = - 24 + 1

f(2) = - 23

f(x)=-3x^3+x^2-3

[tex]\\ \sf \longmapsto f(2)[/tex]

[tex]\\ \sf \longmapsto -3(2)^3+(2)^2-3[/tex]

[tex]\\ \sf \longmapsto -3(8)+4-3[/tex]

[tex]\\ \sf \longmapsto -24+1[/tex]

[tex]\\ \sf \longmapsto -23[/tex]

Fill in the blanks.
(3b^3)^2 = _b^_

Answers

We can seperate (3b³) into two different parts, the constant and the variable.

The constant (3) and the variable (b) can both be squared and multiplied to get the correct answer, so:

3² = 9

(b³)² = [tex]b^{6}[/tex]

So, [tex](3b^{3})^{2} = 9b^{6}[/tex]

1106.666667 To the nearest whole number

Answers

Answer:

1107.

You are rounding up because the number in the tenths slot is over 5.

What is the equation of a horizontal line passing through the point (-7,5)?
Oy = 5
Oy = -7
Ox=5
Ox= - 7

Answers

Answer:

1st option, y = 5

Step-by-step explanation:

when the line is horizontal, it's parallel to the x axis

Answer:

y = 5

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (- 7, 5 ) with y- coordinate 5 , then

y = 5 ← is the equation of the line

Find the multiplicative inverse of: -3/7 X -4/9

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{21}{4}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\---------------\\\rightarrow -\frac{3}{7} * -\frac{4}{9}\\\\\rightarrow \frac{12}{63} \\\\\rightarrow \frac{12/3}{63/3}\\\\\rightarrow\boxed{\frac{4}{21}}\\--------------\\\rightarrow \frac{4}{21}* x= 1\\\\\rightarrow (21)*\frac{4}{21}x= 1(21)\\\\\rightarrow 4x=21\\\\\rightarrow \frac{4x=21}{4}\\\\\rightarrow \boxed{x=\frac{21}{4}}[/tex]

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

please solve thanks!​

Answers

Answer:

x = 25

Step-by-step explanation:

The two angles form a straight line so they add to 180

5x-5 + 2x+10 = 180

Combine like terms

7x +5 = 180

Subtract 5 from each side

7x+5-5 = 180-5

7x = 175

Divide by 7

7x/7 = 175/7

x = 25

Answer:

the value of x = 25

Step-by-step explanation:

[tex]\sf{}[/tex]

♛┈⛧┈┈•༶♛┈⛧┈┈•༶

✌️

I don’t understand plz help

Answers

Answer:

C is the answer

C) 48pi in^2


Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of
$750. What was the rate charged per hour by each mechanic if the sum of the two rates was $105 per hour?

Answers

Step-by-step explanation:

let's convert the statement into equation..

let the charge of 1st mechanic be x and second be y..

by the question..

10x+5y=750...(i)

x+y=105..(ii)

from eqn(ii)..

x+y=105

or, x=105-y...(iii)

substituting the value of x in eqn (i)..

10x+5y=750

or, 10(105-y)+5y=750

or, 1050-10y+5y=750

or, 1050-750=5y

or, y=300/5

•°• y=60

substituting the value of y in eqn(iii).

x=105-y

or, x=105-60

•°• x= 45..

the rate charged by two mechanics per hour was 60$ and 45$

The quotient of -8 and the sum of a and b

Answers

Hi! I'm happy to help!

To solve this, you need to know what all of the terms mean. Quotient means division, and sum means addition. Knowing this we can set up our expression.

Because there is an operation inside of an operation (addition inside of division) we use parenthesis.

-8÷(a+b)

I hope this was helpful, keep learning! :D

What type of angle is this

Answers

obtuse angle that’s the answer

Let the set A be defined as follows.
A={h,m,s,d,c}
(a) Find the total number of proper subsets of A.


(b) Find the total number of subsets of A.

Answers

Answer:

(a) 31

(b) 32

Step-by-step explanation:

We will do (b) first since it will help us do (a).

(b)

There are [tex]n(A)=5[/tex] elements in [tex]A[/tex]. Using the formula for the number of subsets of a given (finite) set, the number of subsets of [tex]A[/tex] is

[tex]2^{n(A)}=2^5=32[/tex]

(a)

A subset of [tex]A[/tex] is called proper if it does not equal [tex]A[/tex]. The only subset of [tex]A[/tex] that is not proper is [tex]A[/tex] itself, so simply subtract 1 from the number of subsets to get the number of proper subsets, which is

[tex]32-1=31[/tex]

f(x)=1/3x+7 find inverse

Answers

Answer:

Step-by-step explanation:

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