What is the value of x in the diagram?

Step-by-step explanation:

I’m assuming that you’re asking about quadratic equations, but suffice it to say that the method may even work for polynomials of higher degrees.

Let’s take an example. You have x^2+6x+8.

First, multiply the term in x^2 with the constant; in this case we get 8x^2.Next, break the value in x into two numbers, such that when you add them, the value becomes that of the middle term and when you multiply them, the value becomes that which you have just calculated.

Step 1:

x^2 * 8= 8x^2

Step 2:

(break the middle term)

x^2+4x+2x+8 (notice how 4x when added to 2x gives 6x but when multiplied, gives 8x^2)

Step 3:

(separate the common terms)

x(x+4)+2(x+4)

(x+2)(x+4)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

To find the surface area of this pyramid, we must find the area of one triangle flap which we then multiply by 4 because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the base(square)'s area. Next, we add all those areas together to get the result of the surface area.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.

Plug in what you know, given that the base of one triangle is 4, and the height is 6.

A = 4(6) x 1/2

A = 24 x 1/2

A = 24/2

A = 12, the area of one triangle is 12 inches.

Now, we find the area of all the triangles by multiplying the area of one triangle by 4.

12 = Area of triangle

4 triangles in total, so:

12(4)

= 48 inches is the area of all the triangles.

Now we find the area of the base(square) using the formula;

(vol of square formula)
A = [tex]s^{2}[/tex]

Where 's' represents one side of the square which is being squared.

or

A = l · w

Where 'l' represents the length and 'w' represents the width.

Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).

(I'll be using the formula [tex]s^{2}[/tex])

A = [tex]s^{2}[/tex]

A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)

A = 16, the area of the base(square) is 16 inches.

Now we add both areas together:-

48 + 16

= 64 inches^2 is the surface area, your answer is A.

Answer: D

Step-by-step explanation:

The domain of a function is the allowed 'x' values that the function can take on and produce a defined 'y' value. We can ignore the numerator since it will never be undefined. The denominator on the other hand has a singularity when it equals zero. The reason for this is because we cannot divide by zero. Therefore, lets set the denominator to zero and find which 'x' value makes the function undefined:

[tex]3x+15=0[/tex]

[tex]3x=-15[/tex]

[tex]x=-5[/tex]

Every single real 'x' value will work besides when x = -5. Therefore the answer is D

The relation is given by the equation (z/21) = 42, then the value of the z will be 882.

The quotient means the separation of something into different parts, sharing of something among different people, places, etc.

The quotient of a number, z, and 21 is 42.

The relation can be given as

[tex]\rm \dfrac{z}{21} = 42[/tex]

Then the value of z will be

[tex]\rm z = 21 \times 42\\\\z = 882[/tex]

More about the quotient link is given below.

https://brainly.com/question/369266

The answer is 0.06

Step-by-step explanation:

Finding Volume

25 x 12 = 300

300 x 10 = 3,000

Into Cubic yards

3,000 / 46,656 = 0.06430041152

Nearest hundredth

0.06

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Using confidence interval concepts, it is found that:

Given a confidence interval with two bounds a and b, the margin of error is half the difference of the two bounds.

So, for an interval that is (8%, 12%), the margin of error is given by:

M = (12 - 8)/2 = 2%.

Which means that for the first question, option B is correct.

Additionally, an increase in the sample size results in a decrease of the margin of error, which means that for the second question, option B is also correct.

More can be learned about confidence interval concepts at https://brainly.com/question/25890103

Answer:

Pic 1: C.

Pic 2: D.

Step-by-step explanation:

1) The sample is the number of things picked out from a population. The amount of people surveyed is the sample, so it the answer choice showing "42 residents" as the sample is among a correct option. Since C is the only one with "42" as the sample, it is the answer.

2) Boosting morale isn't a negative thing, and will ultimately make residents happier. It leans towards "yes."

Adding a machine for enjoyment also leans towards "yes", because people will then have something fun to dsitract themselves with.

Many people will have access to the machine in the lunch room. They can also have a soft drink for lunch, which adds a tasty part to their lunch. It too leans towards "yes."

In a crowded lunchroom, the soft drink machine may be crowded by many people and it could take a while to get one for yourself. It is also vulnerable to breaking from too many people using it at once. It leans towards a "No" response.

Therefore, D is the best answer.

hope this helps!

Answer:

15800

Step-by-step explanation:

17600/10 =

1760

17600

-1760

15800

The true statement about the histogram is (a) 5 employees have been in their current position for 30 to 35 months

From the histogram (see attachment), we have the following highlights:

Using the above highlights, we can see that:

When x = 30 - 35, the value of y is

Hence, the true statement about the histogram is (a) 5 employees have been in their current position for 30 to 35 months

Read more about histograms at:

https://brainly.com/question/9388601

A number that is divided by another, like 1 divided by 2 is one half, it is a fraction of a number.

Answer:

Hope the picture will help you.............

Answer:

slope is 4 or 4/1

y-int is 5

Answer:

keep adding four until u reach day twelve

Answer:

50 dollars

Step-by-step explanation:

Answer:

Ive got you! The answer is $50.15

Step-by-step explanation:

I used m##hway and put 20% of 250.79 so this is the answer!

Answer:

ST = 63

HI = 28

IJ = 21

Step-by-step explanation:

Given:  RSTUV ~ JFGHI

From inspection of the diagram, the corresponding sides are:

RS~JF

ST~FG

TU~GH

UV~HI

VR~IJ

The only pair of sides that both have side lengths are TU and GH. Therefore, we can use these to figure out the scale factor of dilation.

TU = 72   and   GH = 56

⇒ TU/GH = 72/56 = 9/7

Therefore, RSTUV is an enlargement of JFGHI by a scale factor of 9/7

If FG = 49

⇒ ST = 49 × 9/7 = 63

If UV = 36

⇒ HI = 36 ÷ 9/7 = 28

If VR = 27

⇒ IJ = 27 ÷ 9/7 = 21

Answer:

ST = 63, HI = 28, IJ = 21

Step-by-step explanation:

Step 1:  Determine the scale

UT = 72 and HG = 56

[tex]72 / 56 = 9/7[/tex]

Step 2:  Determine ST

We can determine ST by multipliying GF by 9/7 which will give us the upscaled ratio which will produce ST.

[tex]ST = GF * 9/7[/tex]

[tex]ST = 49 * 9/7[/tex]

[tex]ST = 63[/tex]

Step 3:  Determine HI

We can determine ST by dividng VU by 9/7 which will give us the upscaled ratio which will produce ST.

[tex]HI = VU / (9/7)[/tex]

[tex]HI = 36 / (9/7)[/tex]

[tex]HI = 28[/tex]

Step 4:  Determine IJ

We can determine IJ by dividng RV by 9/7 which will give us the upscaled ratio which will produce IJ.

[tex]IJ = RV / (9/7)[/tex]

[tex]IJ = 27 / (9/7)[/tex]

[tex]IJ = 21[/tex]

Answer: ST = 63, HI = 28, IJ = 21

Answer:

A. 64.98

Step-by-step explanation:

See the attachment .

_________

Hope it helps ⚜

Answer:

set 1 and 2

Step-by-step explanation:

Set 1 has 10

Set 2 has 13

Answer:

The answer is all real numbers :)

Step-by-step explanation:

he domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=0 is a straight line perpendicular to the y-axis at point (0,0) , which means that the range is a set of one value. :)

Have an amazing day!!

Please rate and mark brainliest!!

If the accident causes $6,750 of damage to his own car. The amount that the insurance company will pay to fix both cars is $14,750.

Using this formula

Insurance coverage=Total cost of damages-Deductible

Where:

Total cost of damages=($8,500+$6,750)

Deductible=$500

Let plug in the formula

Insurance coverage=($8,500+$6,750)-$500

Insurance coverage=$15,250-$500

Insurance coverage=$14,750

Therefore the amount that the insurance company will pay to fix both cars is $14,750.

Learn more about insurance coverage here:https://brainly.com/question/11776206

Hypotenuse = 17cm

From the question we have that,

Since this is a right-angled triangle, we can apply the Pythagoras formula:

[tex]H^{2} = C_{1}^{2} + C_{2}^{2}[/tex]

This says that the square of the hypotenuse is the sum of the square of the other sides.

From this, we can replace the variables with the actual values:

[tex](2x + 1)^{2} = (2x - 1)^{2} + x^{2}[/tex]

We can then expand the exponents to have:

[tex]4x^{2} + 4x + 1 = 4x^{2} - 4x + 1 + x^{2}[/tex]

We can proceed to isolate x:

[tex]4x^{2} + 4x + 1 = 4x^{2} - 4x + 1 + x^{2}\\\\4x^{2} + 4x + 1 = 5x^{2} - 4x + 1\\\\4x^{2} + 4x + 1 - 5x^{2} = - 4x + 1\\\\- x^{2} + 4x + 1 = - 4x + 1\\\\- x^{2} + 4x + 1 + 4x = 1\\\\- x^{2} + 8x + 1 = 1\\\\- x^{2} + 8x = 1 - 1\\\\- x^{2} + 8x = 0\\\\[/tex]

We can now multiply the whole equation by -1 just to have a positive [tex]x^{2}[/tex]:

[tex]x^{2} - 8x = 0[/tex]

And we can now solve it using Bhaskara:

[tex]x = \frac{-b\ \pm \sqrt{b^{2} - 4ac }}{2a}[/tex]

Replacing out values, we've got:

[tex]a = 1\\b = -8\\c = 0\\x = \frac{8\ \pm \sqrt{(-8)^{2} - 4*1*0 }}{2*1}\\x = \frac{8\ \pm \sqrt{(-8)^{2} - 0 }}{2}\\x = \frac{8\ \pm \ 8}{2}\\x = 0\ or\ x = 8[/tex]

Since x can't be 0 because we're talking about a drawn triangle, x can only be 8.

We can then calculate the hypotenuse based on this value:

[tex]Hypotenuse = 2x + 1\\Hypotenuse = 2*8 + 1\\Hypotenuse = 17[/tex]

Answer:

Hope this helped and brainliest please

Step-by-step explanation:

Scientific notation is standard form.

To write a number in standard form, we use the format:

a×10^b

where 1 ≤ a < 10

a would be 2.11 in this question.

As we can see the decimal point has move 5 places to be after 2 so our b value will be 5

Our answer will be :

2.11×10^5

Hope this helped and brainliest please

The area that the considered search plane searches with the given figures is 16957.42 miles² approximately.

Suppose the circle has radius of 'r' units, then, its area is given as:

[tex]A = \pi \times r^2[/tex] sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

[tex]\pi \times (\dfrac{d}{2})^2[/tex] sq. units

Suppose that a considered circle has:

Then, we get:

[tex]C = 2\pi r \: \rm units[/tex]

So, the radar scans the surface of ocean in a circular area with radius of 15.5 miles.

That circular area is itself moved in a circular path (due to circular motion of the plane with 471 miles circumference of the circular path).

The graph given describes the region of scan.

The blue region's area = Outer circle's area - Internal circle's area

The Internal circle has circumference 471 miles, let its radius be 'r' miles, then:

[tex]471 = 2\pi r\\\\r = \dfrac{471}{2\pi} \: \rm miles[/tex]

The outer circle has the radius = internal circle's radius + diameter of the radar circle =  [tex]\dfrac{471}{2\pi} + 2(15.5) =\dfrac{471}{2\pi} + 30 \: \rm miles[/tex]

Thus, we get:

Net area which is searched by the search plane ≈ 34610.98 - 17653.56 miles²

Net area which is searched by the search plane ≈ 16957.42 miles²

Thus, the area that the considered search plane searches with the given figures is 16957.42 miles² approximately.

Learn more about area of a circle here:

https://brainly.com/question/13004063

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160 students ordered a yearbook.

Step-by-step explanation:

Batman, cross multiply 400×40 then divide by 100 and you get your answer.

Answer:The tax revenue Australia would generate each year is $96,054,697,991.

What is the percentage?

The percentage is the value per hundred.

Working population of Australia =  11,565,470 people

Annual average salary = $26,450

Income tax rate = 31.4%

Tax revenue generated by each resident = 26450*(31.4/100)

Tax revenue generated by each resident =$8305.3

So, Tax revenue generated by 11,565,470 residents =  11,565,470*8305.3

Tax revenue generated by 11,565,470 residents = $96,054,697,991

Therefore, the tax revenue Australia would generate each year is $96,054,697,991.

To get more about taxes visit:

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Step-by-step explanation:

Answer:

20 minutes

Step-by-step explanation:

60÷3=20

Step 1 you divide 60 minutes by 1/3 which is gonna give you 20 mins

20 min

Hope it helps.

Do comment if you have any query.

Zeirah has 3 times more apples than Riya, in total they have 48 apples

consider Riya has x apples

Let the equation be:

→ so Riya has 12 apples and Zeirah has [3(12)] = 36 apples

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

contains the mathematical operations:

Question no.1:

Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?

Solution:

Let the cost of one apple be "y" and the cost of one orange be "x".

Here,

According to question,

8x + 7y = $10.20 5x + 14y = $12.15

=> 5(8x + 7y) = 10.20 × 5 => 8(5x + 14y) = 12.15*8

=> 40x + 35y = 51 -->(i) => 40x + 112y = 97.2-->(ii)

By Elimination method,

Equation (i) - (ii)

(40x + 35y) - (40x + 112y) = 51 - 97.2

=> 40x + 35y - 40x - 112y = - 46.2

=> - 77y = - 46.2

=> y = 46.2/77

=> y = 0.6

Putting the value of "y" in equation (i) we get,

40x + 35y = 51

=> 40x + 35 × 0.6 = 51

=> 40x + 21 = 51

=> 40x = 51 - 21

=> 40x = 30

=> x = 0.75

Question no.2:

Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?

Solution:

Let the cost of a small box be "x" and the cost of a large box be "y".

Here,

According to question,

2x + 5y = $31 4x + 7y = $47

4(2x + 5y) = 31 × 4 2(4x + 7y) = 47 × 2

=> 8x + 20y = 124 ->(i) => 8x + 14y = 94 ->(ii)

By Elimination method,

Equation (i) - (ii)

(8x + 20y) - (8x + 14y) = 124 - 94

=> 8x + 20y - 8x - 14y = 30

=> 6y = 30

=> y = 30/6

=> y = 5

Putting the value of "y" in Equation (ii) we get,

8x + 14y = 94

=> 8x + 14 × 5 = 94

=> 8x + 70 = 94

=> 8x = 94 - 70

=> 8x = 24

=> x = 24/8

=> x = 3