Find the missing value. Round to the nearest tenths

Answer:

in an equation ax^2+bx+c to complete the square it turns to

a(x+d)^2+e where d=b/2a and e=c-b^2/4a

example:x^2+4x+1=0

complete the square:

d=b/2a=4/2(1)=2

e=c-b^2/4a=1-4^2/4(1)

e=1-16/4=-3

a(x+d)^2+e

1(x+2)^2-3=0

check if it is rigt: (x+2)^2=x^2+4x+4

x^2+4x+4-3=

x^2+4x+1 it is correct

answer on image attached. pls give brainliest :)

Answer:

Z.

Step-by-step explanation:

A function must pass the Vertical Line Test. No 2 y-values can have the same x-values. Since the first 3 graphs fail to pass the vertical line test, our answer is Z.

Answer:

The number of blocks that will be needed to build the wall is 2500

Step-by-step explanation:

The number of blocks that will be needed to build the wall is;

[tex]n = \frac{volume of wall}{volume of block} \\volume = l *b*h\\[/tex]

given the dimensions of the block and wall as;

block = 22cm by 11cm by 7cm

wall = 5 1/2m long, 22cm thick and 3 1/2m high. = 550cm by 22cm by 350cm

substituting into the equation, we have;

[tex]n = \frac{volume of wall}{volume of block} \\volume = l *b*h\\\\n = \frac{550*22*350}{22*11*7} \\n = 2500[/tex]

The number of blocks that will be needed to build the wall is 2500

Answer:

hope its helpful........

Answer:

Step-by-step explanation:

a ) The worth of Jean-Claude's gnome after 1 year

= 80000 x 1.02

=  £81600

b ) common ratio of geometric progression

= 81600 / 80000

= 1.02

c )  worth after 10 years

= 80000 x 1.02¹⁰

= 80000 x 1.21899

= £97519.55

d )

120000 = 80000 x [tex]1.02^k[/tex]

1.5 = [tex]1.02^k[/tex]

ln1.5 = k ln 1.02

k = ln 1.5 / ln 1.02

= .4054 / .0198

= 20.47 years .

Answer:

In the Business class section not flying for first time is 13

Business class and flying first time is 7

Not in Business class and flying first time is 49

98 that are not first time or business class

Probability is 20/167. I hope this is right and helps!

Answer:

FIRST.  Multiply both sides of the bottom equation by 2

Step-by-step explanation:

12x - y = 26

  ×2        ×2

24x - 2y = 52

-2 is opposite to 2

Answer:

20 % decay

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

1-.8 = .2

Change to decimal form

20 % decay

​

THIS IS THE COMPLETE QUESTION

Five companies employed 2340, 3455, 675, 960 and 1350 workers. The first company laid off 1 worker for every 5 workers, while the other three recruited 2 new workers for every 3. a) What was the total number of workers at the beginning c) How many people: i) Lost job ii) Got job d) What was the total number of workers finally

Answer:

a) 8780

ci) 1159

cii) 1990

d) 9611

Step-by-step explanation:

a) What was the total number of workers at the beginning?

The Total number of workers at the beginning can be calculated by adding the number of workers which are

= 2340 + 3455 + 675 + 960 + 1350

= 8780

c) How many people: i) Lost job

TO calculate the number that lost their job, we know that the first company laid off 1 worker for every 5 workers,

But the employed workers were 2340 and 1 worker laid for every 5 workers. Hence we can say that

2340/5 = 468

Therefore, 468 lost job in the first company.

To calculate for the second company,

from the question we know that Workers employed were 3455 and 1 worker laid for every 5 workers. Then we can say that

3455 / 5 = 691

Therefore, 468 lost job in second company.

After getting the number that lost their job in the two companies we can now say that the total workers that lost job:

=468 + 691 = 1159

ii) To calculate the number that Got job

We know that other three companies recruited 2 new workers for every 3, then the number of people who got job in these three companies can be calculated as;

= [(675 * 2 )+ (960 *2) + (1350 *2) ]/ 3

= (1350 + 1920 + 2700) / 3

= 5970 / 3

= 1990

Therefore, we have 1990 people that got the job.

d) the total number of workers finally can be calculated by summing up the the workers who got job in the workers at beginning then minus the number ofworkers who lost job ,

We know that the Total number of workers:

8780 number of workers at the beginning

1159 is for companies who lost job

1990 is for companies who got job

total number of workers finally:

= (8780 )+ (1990) -( 1159)

= 9611

Therefore, the total number of workers finally are 9611.

Answer:

22cm

Step-by-step explanation:

7+7 =14

4+4= 8

14+8=22

Answer:

[tex]\boxed{Perimeter = 22 cm}[/tex]

Step-by-step explanation:

[tex]Perimeter = 2(Length) + 2(Breadth)[/tex]

Where length = 7 cm, Breadth = 4 cm

Perimeter = 2(7) + 2(4)

=> Perimeter = 14+8

=> Perimeter = 22 cm

Answer:

2869

Step-by-step explanation:

7,840 - 4,971

Subtract.

= 2869

Answer:

0 2,869

hopefully this helped :3

Hey there! :)

Answer:

A. [tex]f(x) = (x - 2)^{4}[/tex]

Step-by-step explanation:

Recall that the transformation form of a polynomial with degree four is:

[tex]f(x) =[/tex] ±[tex]a(b(x-h))^{4} +k[/tex]

In this instance, we will need to use the h value, or the horizontal shift.

It is given that there is only a horizontal shift of 2 units to the right, or h = 2. Plug this into the equation:

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

(x + a) (x + b) = x² + (a + b) x + ab

75 * 77=

=(70+5)(70+7)

=70²+(5+7)*70+5*7

=4900+12*70+35

=4900+840+35

=5775

Answer:

2.5

Step-by-step explanation:

5 * 7=35

7 * 2=14

35 / 14=2.5

hope this helps and have a good day :-)

Answer:

5/2 or 2 1/2

Step-by-step explanation:

when you divide two fractions, you have to find the reciprocal of the second fraction, and then it turns into multiplication. the equation would be 5/7 x 7/2 after you find the reciprocal. when you multiply it together, it equals to 5/2

Answer:

This is false because any number divided by 0 is undefined.

Answer:

We need to find 5 + 10 + 15 + ... + 485 + 490 + 495. There are 99 numbers that are being added. To add this we can do 5 + 495, 10 + 490, 15 + 485 and so on. These pairs have a sum of 500 and since there are 98 / 2 = 49 pairs their sum is 500 * 49 = 24500. Since there is an odd number of numbers that are being added, there is one number that does not belong to a pair. That number is the 50th number in the list which is 50 * 5 = 250. Therefore the answer is 24500 + 250 = 24750.

Answer:

x^2/2

Step-by-step explanation:

Alright, lets go.

Isosceles right triangle means a 45-45-90 triangle.

In a 45-45-90 triangle, the hypotenuse is [tex]\sqrt{2}[/tex] times the leg.

Therefore, the length of the leg is x√3.

The area of a triangle is b(h)/2

In a 45-45-90 right triangle, the area is equal to the length of a leg squared/2

A leg = x√3. (x√3)^2 = 3x^2

The area of the triangle is 3x^2/2

Answer:

distance between the two ships changing at that time is 36 mph

Step-by-step explanation:

given data

ship = 40 mi from port

ship moving = 30 mph

oil tanker = 30 mi from port

oil tanker moving = 20 mph

solution

we will apply here pythagoras theorem so we get here

x² + y² = L²   .....................1

here x is distance of ship from port

and y is distance of oil tanker from port

and L is distance between oil tanker and ship

so put here value and we get

40² + 30² = L²

L = 50 mile

now we differentiate equation1 with respect to time t

[tex]2x\ \frac{dx}{dt} + 2y\ \frac{dy}{dt} = 2L\ \frac{dL}{dt}[/tex]      ...............2

put here value  and we get

40 × 30 + 30 × 20 = 50 × [tex]\frac{dL}{dt}[/tex]  

[tex]\frac{dL}{dt}[/tex]   = 36 mph

so distance between the two ships changing at that time is 36 mph

Problem 1

Explanation: Apply the square root to the area to get the side length. This only applies to areas that are squares (hence the name).

==================================================

Problem 2

Explanation: Use your calculator to find that choices A,B,D plugged into the square root function yield terminating decimal values. "Terminating" means "stop". This implies that they are perfect squares (though not perfect squares in the sense of whole number perfect squares which you may be used to). Choice C is the only value that has a square root that leads to a non-terminating decimal. The digits of this decimal go on forever without any pattern. The value is irrational.

==================================================

Problem 3

Explanation: Apply the square root to 15.5 to get roughly 3.937; this is the approximate side length of one square. Six of these tiles placed together will lead to a total length of roughly 6*3.937 = 23.622 which rounds to 23.6 feet. Like with problem 1, the square root being used like this only works for square areas.

Answer:

Step-by-step explanation:

The equation of the transformed function is: [tex]y = |\frac 14x|[/tex]

The equation of the function (i.e. the graph) is given as:

y = |x|

The function is then stretched horizontally by a factor of 1/4.

So, we have:

[tex]y = |\frac 14x|[/tex]

Hence, the equation of the transformed function is: [tex]y = |\frac 14x|[/tex]

Read more about function transformation at:

https://brainly.com/question/4289712

The equation of the transformed function is: y = |1/4x|

A function transformation either "moves" or "resizes" or "reflects" the graph of the parent function. There are mainly three types of function transformation.

Translation

Dilation

Reflection

Given is an equation of the function graph is given as:

y = |x|

We need to find the transformed function, whose graph is shown,

According to the graph we see,

The function is then stretched horizontally by a factor of 1/4.

So, we have:

y = |1/4x|

Hence, the equation of the transformed function is: y = |1/4x|

Read more about function transformation at:

brainly.com/question/4289712

#SPJ5

Answer:

Please refer to the attached image in the answer area.

Step-by-step explanation:

The given inequality is:

[tex]0.3(x -4) > -0.3[/tex]

To find:

The graph of inequality on the number line.

Solution:

First of all, let us simplify the inequality.

[tex]0.3(x -4) > -0.3[/tex]

Dividing it with 0.3 on the both sides:

[tex]x -4 > -1\\\text{Adding 4 on both sides}\\\Rightarrow x > 3[/tex]

i.e. all the values x > 3 will be our solution. There is no equal sign in the inequality so 3 will not be included in the solution.

Please refer to the attached image for the solution graph of the given inequality.

3 has an empty circle drawn over it which signifies that 3 is not included in the solution set.

Red line shows that all the values greater than 3 are included in the solution.

Answer:

33. numbers are being increased by a certain number, that number being increased by 2 every time

Step-by-step explanation:

Answer:

40cm²

Step-by-step explanation:

The lateral area is the sum of the faces's area

let La be the lateral area

La= 4*5*2= 20*2= 40 cm²

Answer:

j - 128.

Step-by-step explanation:

j + 16 - 148 + 4 = j - 132 + 4 = j - 128

Hope this helps!

Answer:

D

Step-by-step explanation:

Answer:

i think maybe 5 routs or 7

Step-by-step explanation:

there are diffrent ways to get to rides

There are total 120 possible routes available.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the selection does not matter.

Given that, You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur.

Since, there are 5 five ride, so possible rides = 5!

= 5x4x3x2x1

= 120

Hence, There are total 120 possible routes available.

For more references on combinations, click;

https://brainly.com/question/19692242

#SPJ3

Answer:

Mercury: 0.39 and 0.242

Venus: 0.72 and 0.616

Earth: 1 and 1

Mars: 1.52 and 1.88

Jupiter: 5.20 and N/A

Saturn: N/A and 29.5

Uranus: 19.18 and 84.0

Neptune: 30.06 and 165

Step-by-step explanation:

edge2021