Solve the quadratic equation by completing the square.

Step-by-step explanation:

175÷50=3.5

3.5×1/4=0.875

9514 1404 393

Answer:

  (ii) center: (-3, 6)

  (iii) A(-3, 6-√51), B(7, 6), D(-3, 6+√51), H(-13, 6)

  (iv) (x +3)²/100 +(y -6)²/51 = 1

Step-by-step explanation:

(ii) The center is the midpoint between the foci:

  center = ((-10, 6) +(4, 6))/2 = (-10+4, 6+6)/2

  center = (-3, 6)

__

(iii) The vertices are the center plus or minus the semi-major axis length in the x-direction: (-3±10, 6).

The semi-minor axis length is the root of the difference of squares of the semi-major axis and the center-focus distance:

  semi-minor axis = √(10² -7²)

  semi-minor axis = √51

So, the co-vertices are the center plus or minus this value in the y-direction: (-3, 6±√51)

Using the labeling in the drawing the various points are ...

  A(-3, 6-√51), B(7, 6), D(-3, 6+√51), H(-13, 6)

__

(iv) For center (h, k) and semi-axis lengths 'a' and 'b' the equation of an ellipse is ...

  (x -h)²/a² +(y -k)²/b² = 1

For the center and axes here, the equation is ...

  (x +3)²/100 +(y -6)²/51 = 1

Answer: least value - 22

first quartile - 29

median - 35

third quartile - 47

greatest value - 62

Step-by-step explanation:

Answer:

a. 1350

b. 6500

Step-by-step explanation:

1.5%×4500=5850

1350+4500=5850

the last one

Hope this helps!      :3

plz mark as brainliest!

Answer:

NO

Step-by-step explanation:

no, 9/31 is not an irrational number. ... So we have shown that the square root of any non-square cannot be rational; hence, it is irrational.

The square root of 9/31 rational is not a rational number.

We have given that  9/31.

We have to determine is the square root of 9/31 rational

A rational number is a number that can be expressed as the quotient of two integers, with the denominator not equal to zero.

9/31 is not an irrational number.

So we have shown that the square root of any non-square cannot be rational.

hence, it is irrational.

Therefore it is not a rational number.

To learn more about the rational number visit:

https://brainly.com/question/43641

Answer:

1.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). f(x) = 3x⁵

Step - 1

Convert the given function in the form of an equation.

y = 3x⁵

Step - 2

Interchange x by y.

Step - 3

Solve the equation for y

x = 3y⁵

y⁵ = [tex]\frac{x}{3}[/tex]

[tex]y=\sqrt[5]{\frac{x}{3}}[/tex]

Step - 4

Convert the equation into function.

[tex]f^{-1}(x)=\sqrt[5]{\frac{x}{3}}[/tex]

Correct.

2). f(x) = 3x + 7

Step - 1

y = 3x + 7

Step - 2

x = 3y + 7

Step - 3

3y = x - 7

y = [tex]\frac{1}{3}(x-7)[/tex]

Step - 4

[tex]f^{-1}(x)=\frac{1}{3}(x-7)[/tex]

Correct.

3). f(x) = 6 + 4x³

Step - 1

y = 4x³ + 6

Step - 2

x = 4y³ + 6

Step - 3

y = [tex]\sqrt[3]{\frac{1}{4}(x-6)}[/tex]

Step - 4

[tex]f^{-1}(x)=\sqrt[3]{\frac{1}{4}(x-6)}[/tex]

Incorrect.

Answer: combine like terms then divide dum dum

Step-by-step explanation:

Answer:

graph b

Step-by-step explanation:

it's b because it doesn't have any features like a function it's just a round shape that makes it a none function

Answers:

Row 1:      1    3  

Row 2:     2    2

Each single digit gets its own box.

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

Explanation:

Each row of three values must multiply to 12. We see that happening with the first two cuboids.

Cuboid A:  1*1*12 = 12

Cuboid B: 1*2*6 = 12

-------------

For cuboid C, we have two blank spaces multiplied with 4. Let's call these blank spaces x and y. We want to solve the equation x*y*4 = 12.

Divide both sides by 4 and you'll get x*y = 3

Since x and y are positive integers, this must mean either

x = 1 and y = 3

or

x = 3 and y = 1

Those are the only ways to multiply to 3 with two integers. But we can rule out the second case because the instructions say "Put the answers in order of size from left to right". Basically your teacher wants them sorted from smallest to largest. Refer to cuboid B for an example of what I mean.

So this means we have the values: 1, 3, 4 for cuboid C

---------------

Cuboid D is a similar story

Let x and y be the blank spaces. We can see that x*y*3 = 12 which becomes x*y = 4 after dividing both sides by 3.

This time we have three ways to do this and they are

We can immediately rule out x = 4 and y = 1 because we need the answers sorted from smallest to largest.

We can also rule out x = 1 and y = 4 because the sequence 1,4,3 is not fully sorted from smallest to largest. Note how this is effectively a repeat of cuboid C (just in a different order).

The only thing left is x = 2 and y = 2

For cuboid D we have these dimensions: 2, 2, 3

Answer:

Diameter: 10 Yards

Step-by-step explanation:

d = 2r

d = 2 ( 5 )

d = 10

Answer:

C D E or 345

Step-by-step explanation:

Answer:

CDE

Step-by-step explanation:

Answer:

The mass of an object is directly proportional to its inertia.

[tex]m\alpha I[/tex]

Where

m = mass

I = inertia

Step-by-step explanation:

We can first of all start by defining the two key terms present here - mass and inertia.

The mass of an object is the quantity of matter contained in the object.

The inertia of an object is the resistance of an object which is in a state of rest to motion

The mass of an object is directly proportional to its inertia.

The heavier an object is, the more inertia it has. To put things into perspective, you can easily push a bicycle because it does not really have a lot of mass, as opposed to pushing an eighteen-wheeler trailer.

Answer:

P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%

Step-by-step explanation:

Mean = 63

Standard Deviation =6

We need to find probability that X lies between 45 and 81 i.e P(45<X<81)

First we will find z-score for X=45 and X=81

For X=45 the z-score can be found using formula:  [tex]z-score=\frac{X-\mu}{\sigma}[/tex]

Putting values and finding z-score

[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{45-63}{6}\\z-score=-3[/tex]

For X=45, z-score is -3

For X=81 the z-score can be found using formula:  [tex]z-score=\frac{X-\mu}{\sigma}[/tex]

Putting values and finding z-score

[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{81-63}{6}\\z-score=3[/tex]

For X=81, z-score is 3

Now finding the probability of P(-3<z<3)

It can be solved as:

P(-3<z<3)=P(z<3)-P(z<-3)

Looking at the z-score table to find

P(z<3)= 0.9987

P(z<-3)=0.0013

So, P(-3<z<3)=P(z<3)-P(z<-3)

P(-3<z<3)=0.9987 - 0.0013

P(-3<z<3)=0.9974

or P(-3<z<3)= 99.74%

So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%

Answer:

0.002 , 0.05 , 0.40 , 0.80 , 1.02 , 2 , 4 , 11 , 13 , 15 , 16 , 357

Step-by-step explanation:

11 , 357 , 2 , 1.02 , 13 , .80 , 4, .002 , 15 , .05 , 16 , .40

Answer:

option D.

Step-by-step explanation:

average rate of change in steel production over the eight days=-0.15 tons per day

Step-by-step explanation:

The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons.

Production is dropped by 1.2 tons, so its negative

Average rate of change = Change in production / number of days

Average rate of change = -1.2/ 8= -0.15

so sorry -0.15

Answer:

23.25

Step-by-step explanation:

Answer: d≤69

Step-by-step explanation:

You would plug in all the values for d into the inequality

40(81) + 240 ≤ 3000

40(81) + 240 = 3000

3240+240=3000

3480=3000 false

40(75) + 240 ≤ 3000

40(75) + 240 = 3000

3000+240=3000

3240=3000 false

40(69) + 240 ≤ 3000

40(69) + 240 = 3000

2760+240=3000

3000=3000 true

You don't need to try the last one because you already found this one!

The inequality expresses the maximum number of days Marisa can pay the expenses for her bike trip will be d ≤ 69.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Marisa saved $3000 to take a bike trip from Florida to California.

She estimated her expenses to be $40 per day.

The cost of a ticket to fly back is $240.

The inequality below can be used to find the maximum number of days (d) for which Marisa can pay the expenses on the bike trip.

40d + 240 ≤ 3000

Substitute all the values for d into the inequality

For, d≤81

40(81) + 240 ≤ 3000

40(81) + 240 = 3000

3240+240=3000

3480=3000 false

For, d≤75

40(75) + 240 ≤ 3000

40(75) + 240 = 3000

3000+240=3000

3240=3000 false

For, d≤69

40(69) + 240 ≤ 3000

40(69) + 240 = 3000

2760+240=3000

=3000

therefore, LHS = RHS

Hence, d ≤ 69 is true.

Learn more about inequality ;

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Answer:

Sorry to say but I don't see any material.

Step-by-step explanation:

Answer:

30° and 150°

Step-by-step explanation:

supplementary means that the sum of the measures = 180

let's say 1 angle is labled ∠A and the other ∠B

m∠A + m∠B = 180°

however, m∠A = 5 * m∠B

so, by substituting that:

5*m∠B + m∠B = 180°

6*m∠B = 180°

m∠B = 30°

m∠A = 150°

Answer:

hjgkulihjoj;l

Step-by-step explanation:

Answer:

8,2,2,3

d,d,

HOPE THIS HELPS

Answer:

5d²

Step-by-step explanation:

Given

8d² - 3d² ← collect like terms by subtracting the coefficients, that is

(8 - 3)d²

= 5d²

Answer:

Proportional reasoning compares ratios to answer questions. We can use proportional reasoning to solve some questions directly, such as which size of laundry detergent is the cheapest per load, or what the dimensions of the model car should be.

Step-by-step explanation:

I got it off of the internet

Answer:

647$ USD

Step-by-step explanation:

You add 4% of each sale to eachother and to the 375. goodluck!

Answer:

7171

Step-by-step explanation:

i added it all up and thats what i got hope this helps and if right can i have brainlyest.