Which graph represents the piecewise-defined function?

Answer:

30-60-90 triangles have one short side, one long side, and a hypotenuse.

The ratio between the sides (from short to hypotenuse to long) is 1 : 2 : sqrt(3).

Hope this helps!

Answer:

  34 square units

Step-by-step explanation:

The figure can be considered to be a trapezoid with a rectangle removed.

The area of the trapezoid is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(10 +6)(5) = 40

The area of the rectangle is ...

  A = LW

  A = (3)(2) = 6

Then the area of the shaded portion of the figure is ...

  shaded area = trapezoid area - rectangle area

  = 40 - 6 = 34 . . . square units

Answer:

Step-by-step explanation:

Set up a ratio.

An angle bisector divides the side opposite it in the same ratio as the two sides defining the angle where the vertex and angle bisector meet.

14/6 = 21 / 3x - 12            

Cross multiply

14(3x - 12) = 6*21

Remove the brackets

42x - 168 = 126

Add 168 to both sides

42x = 168 + 126

Combine

42x = 294

Divide by 42

x = 294/42

x = 7                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          

Answer:

solution,

In rectangle, the diagonal bisects each other,

BE=ED

[tex]2x + 4 = 7x - 1 \\ or \: 2x - 7x = - 1 - 4 \\ or \: - 5x = - 5 \\ or \: x = \frac{ - 5}{ - 5} \\ x = 1[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

f(10)=34

Step-by-step explanation:

This is an arithmetic sequence of common difference "d = 4" (the number added to a term in order to get the next term), and first term 2,

Then we use the formula to find the nth term of an arithmetic sequence with is:

[tex]f(n)=f(1) +\,(n-1)\,d[/tex]

In our case this formula for the term number 10 becomes:

[tex]f(n)=f(1) +\,(n-1)\,d\\f(10)=f(1)+(10-1)\,4\\f(10=2+9*4\\f(10)=2+32\\f(10)=34[/tex]

Answer:  Just took it!!!

f(10)=38

Step-by-step explanation:

f(1)=2

f(n+1)=f(n)+4

f(2)=6

f(3)=10

f(4)=14

f(5)=18

f(6)=22

f(7)=26

f(8)=30

f(9)=34

f(10)=38

Answer:

y = -20x + 100

Step-by-step explanation:

As per your requirement For Part B, the solution is

The equation in slope-intercept form to model the relations is below:-

To reach 2 points on the graph the line passes through

lets use p1(0, 100), p2(1, 80)

now we will compute the slope:

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

[tex]m = \frac{(80 - 100)}{(1 - 0)}[/tex]

= -20

and now use line equation in form point-slope:

y - y1 = m(x - x1)

y - 100 = -20(x - 0)

y = -20x + 100

Answer:

Part A: 

initial value = 100 (total amount of songs to download)

rate of change = -20 songs/week (100-80 and so on)

Part B: 

ANSWER: y = -20x + 100

y = mx + b, where m is the slope and b is the y-intercept (or initial value).

Answer:

answers are a and b

picture shown

Answer:

4pie

Step-by-step explanation:

period = time/number of oscillation

time=4pie

number of oscillation = 1

then

period = 4p/1= 4p

Answer:

b. 4pi

Step-by-step explanation:

Answer:

The account balance after 24 months will be $23,092.70

Step-by-step explanation:

Given data

P= $20,000

r= 7.77%= 0.077

t= 2 years

A= ?

n= 24

The compound interest formula is

[tex]A= P(1+t)^t[/tex]

Inserting our values to solve for A we have

[tex]A= 20000(1+\frac{0.077}{24} )^2^*^2^4\\\\A= 20000(1+0.003 )^2^*^2^4\\\\A= 20000(1.003 )^2^*^2^4\\\A= 20000(1.003 )^4^8\\\A= 20000*1.15463517818\\\A= 23092.7035636\\\A= 23,092.70[/tex]

Answer:

m=4

Step-by-step explanation:

-5m=-20

m= - 20/-5

m=4

Answer:

M=4

Step-by-step explanation:

This question was on my online school assignment. I can go back on my assignments and review and I had got it right.

The current function equation is  Y=1/3|x|

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

The meaning relative f(x) = is the absolute value and is weighted by a factor 3 vertically.

If a constant (say a) multiplies the function, the parent will be extended vertically.

We have below vertical extension and compression conditions.

A > 1 = > spread vertically

0 < < 1 = > compression vertically

Therefore we will subtract the entire feature by 1/3 for vertical compression by a factor of 3.

The equation for the current function is then Y=1/3|x|

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

Hope this helps!

Brainliest would be great!

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

With all care,

07x12!

Answer: G(x)= 3/4 |x|

Step-by-step explanation:

(A.pex)

Answer:

10ths Place (Decimal)

Step-by-step explanation:

Whole numbers:

The 1 in 19.54 is in the tens place.

The 9 is in the ones place.

Decimals:

The 5 is in the tenths place.

The 4 is in the hundredths place.

Answer:

look below for your answer

Step-by-step explanation:

5 is in the tenth column

i hope i helped you

please mark my answer as brainliest

Answer:

solution,

She starts to work at 7:45 am

She stops the work at 12:30 for lunch.

Before launch, she works 4:15 hours.

And after lunch ,she works 4 hours

Now,

total she works 8 hours 15 minutes.

For each hour,she earn 7.60

[tex]8 \times 7.60[/tex]

=$ 60.8

For another 15 min,she earns $ 1.9

So,

Total earning=60.8+1.9

=$ 62.7

Hope this helps...

Good luck on your assignment...

Answer:

the degree is 3 and the number of terms is 3 after simplifying

the degree is 9 and the number of terms is 9 after simplifying

the degree is 4 and the number of terms is 2 after simplifying

Answer:

a function, it passes the vertical line test

Step-by-step explanation:

Answer:

Function

Step-by-step explanation:

This is a function because when you do the line test there are no 2 points on the same line. The line test is when you have a bunch of lines going up and down to see if more then one point is on the same line if so it is not a function. When only one point lays on each line then it is a function.

The number 3.14159265 produces an irrational number when added to 1/2.

The sum of any rational number and any irrational number will be always an irrational number.

An irrational number is a type of real number which cannot be represented as a simple fraction.

A number that can be represented as the quotient p/q of two integers such that q ≠ 0 is called a rational number.

According to the given question

We have a rational number 1/2.

Since, 0.373737373.... is a rational number because it is recurring and its behavior it known that 37 is repeating.

And we know that when any rational number is added with a rational number it with number we will get always a rational number.

⇒ 0.3737373737... + [tex]\frac{1}{2}[/tex] = rational number.

3.14159265... is an irrational number because its behavior is not known and it is not terminating.

So, when we add 1/2 to 3.14159265.. we get a irrational number.

√16 = 4 is a rational number. And it can be written as [tex]\frac{4}{1}[/tex].

So, [tex]\frac{4}{1} + \frac{1}{2} = \frac{9}{2}[/tex] which is a rational number.

-4/7 is a rational number. And when we add 1/2 to -4/7 we get a rational number.

i.e. [tex]\frac{-4}{7} + \frac{1}{2} = \frac{-1}{14}[/tex] which is rational number.

Hence, the number 3.14159265 produces an irrational number when added to 1/2.

Learn more about rational and irrational number here:

https://brainly.com/question/17005818

#SPJ2

A correct option is an option (d)

The given expression is,

[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )[/tex]

Now, simplifying the given expression as,

[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )=(x\sqrt{6}-8\sqrt{2}x\sqrt{x} )(3\sqrt{x} -x\sqrt{5x^5}) \\ = (x\sqrt{6}+8x\sqrt{2x} )(3\sqrt{x} -x^3\sqrt{5x} )\\=3x\sqrt{6x} -x^4\sqrt{30x}+24x^2\sqrt{2x} -8x^5\sqrt{10x}[/tex]

So, the correct option is an option (d).

Learn More:https://brainly.com/question/2548064

6.

[tex]y^2\sqrt[8]{8}[/tex]

Step-by-step explanation:

[tex]\sqrt[8]{8*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y}[/tex]

Since there are eight y's in two groups we can take them out which turns into

[tex]y^2\sqrt[8]{8}[/tex]

:)

3.

Problem 3:

We are given the following complex number and I'm assuming we want to simplify it:

[tex]\dfrac{5+i}{6+i}[/tex]

Using the complex arithmetic rule (research about this if you're not familiar with it, it's very helpful):

[tex]=\dfrac{(5\times6+1)+(6-5)i}{6^2+1^2}[/tex]

[tex]=\dfrac{31+i}{37}[/tex]

Simplifying gives us:

[tex]=\dfrac{31}{37}+\dfrac{1}{37}i[/tex]

Problem 6:

You seem to have done this problem correctly

[tex]\sqrt[8]{8y^{16}}[/tex]

Expanding gives us:

[tex]=\sqrt[8]{y^{16}}\times\sqrt[8]{8}[/tex]

[tex]=y^2\sqrt[8]{8}[/tex]

This can't be simplified further as the 8th root of 8 gives us an irrational number

Let me know if you need any clarifications or extra help, thanks!

Answer:

Maximum Congestion: 24

Maximum Time to reach Congestion: 3

Step-by-step explanation:

Easiest and fastest way is to graph the equation and analyze the graph for it's maximum vertex.

Answer:

(x-4)²+4

Step-by-step explanation:

Answer:

[tex](x-4)^2+4[/tex]

Step-by-step explanation:

[tex]x^2 - 8x + 20\\**********************************\\\frac{8}{2} =( 4 )^2 = 16 \\\\20 - 16 = 4\\**********************************\\x^2 - 8x + 16 + 4\\(x-4)^2+4[/tex]

Answer:

What are the other tables/answer choices?

Step-by-step explanation:

Answer:

[tex]Result = 96.24\ km[/tex]

Step-by-step explanation:

Given

92.6 % of 103.93 km

Required

Solve (to 2 decimal places)

To solve this, we simply multiply both 92.6% and 103.93 km together;

[tex]Result = 92.6\% * 103.93\ km[/tex]

Convert percentage to fraction

[tex]Result = \frac{92.6}{100} * 103.93\ km[/tex]

Combine to form a single fraction

[tex]Result = \frac{92.6 * 103.93\ km}{100}[/tex]

[tex]Result = \frac{9623.918\ km}{100}[/tex]

[tex]Result = 96.23918\ km[/tex]

[tex]Result = 96.24\ km[/tex] (Approximated to 2 decimal places)

Answer:

A

Step-by-step explanation:

Trust me on this and I also have a reason.

Divide 2/5 by 6 to get 1/15, then divide 6/15 by 6 to get 1/15, and both of these are simpflied.

Can I also get brainlest, I hope you do well!

The expression equivalent to Martin's expression is A. 6/15 ÷ 6.

Division is simply the opposite operation of multiplication. It is one of the basic mathematical operations where a number is divided into equal parts as that of another number.

The number being divided is called dividend and the number which divides dividend is called divisor. The resulting number after the operation is called quotient.

We have to divide the expression 2/5 ÷ 6.

When a fraction is divided by another number the divisor is change into it's reciprocal and the multiplied to the dividend.

Here dividend = 2/5 and divisor = 6

Reciprocal of 6 = 1/6

So 2/5 ÷ 6 = (2/5) × (1/6) = 2/30 = 1/15

Simplify the numbers in the options.

A. 6/15 ÷ 6 = (6/15) × (1/6) = 1/15

Hence the equivalent expression of 2/5 ÷ 6 is 6/15 ÷ 6.

Learn more about Division here :

https://brainly.com/question/21416852

#SPJ3

Answer: x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16.

Step-by-step explanation:

You know that there are 16 coins in all, so x + y has to equal 16 (x being dimes and y being quarters) but you also know that whatever compilation of dimes and quarters is equal to $2.95.

Hope this helped you! Feel free to ask any further questions!

The system of equations which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

Suppose  the number of dimes be x and the number of quarters be y.

According to question there are 16 coins, so

x+y=16-----1

1 dime=$0.10

1 quarter=$0.25

According to question Hamid has $2,95 ,so

0.10x+0.25y=2.95.

Hence the system which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.

Learn more about equation at https://brainly.com/question/2972832

#SPJ2

Answer:

-8

Step-by-step explanation:

(-2)2+9(-2)+14

-4+-18+14

-22+14

=-8

Hope this helps

Answer:

0

Step-by-step explanation:

f(x) = x^2 + 9x + 14, when x = -2.

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

f(x)=(-2+7)(-2+2)=0

Answer:

tan 50 = (51+10)/x where x is the distance of the boat

x = 51.2 m  

Boat is in an unsafe area

Step-by-step explanation:

<3

Answer:

$180

Step-by-step explanation:

100%=x

35%=$63

63 x 100=6300/35=$180

Answer:

96.92

Step-by-step explanation:

If the backpack was 35% off  you will  still pay 100 -35 or 65%

Let x be the original price

x * 65% = 63

Change to decimal form

x * .65 = 63

Divide each side by .64

x*.65/.65 = 63/.65

x =96.92

Answer:

x intercept is when y = 0, so when y is 0, x should be -9 or 8, so 4. is the only that satisfies it, therefore (-9,0)

Step-by-step explanation:

Follow me at "btracta"  on insta and we can talk

What's your instagram then?

Yes 80 followers following 10 is me

Answer:

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

Rational numbers are numbers that can be written as the quotient or fraction of two integers, and this contain a numerator and a denominator which is non-zero number.All rational numbers are real numbers and all integers are real numbers as well.

A natural numbers are the positive integers which is also referred to as non-negative integers, examples include 2, 200, 3, 4, 5, 156 .. ∞. we can say natural numbers are a set of all the whole numbers.

These numbers are enclosed by integers, which comprise some negative numbers such as -18, -9, -183 and so on.

In addition, an integers are also enclosed by rational numbers, which comprises terminating decimals such as 8.34, 3.44,15.7543,4.075421 and so on.

With the given terminating decimal between -3.14 and -3.15, It can be deduced that rational numbers contain integers,since integers also include negative numbers because integer are numbers that is devoid without of any fractional component

Answer:

d

Step-by-step explanation:

Answer:

-8y +7x

Step-by-step explanation:

(–3y – x) – (5y – 8x)Distribute

-3y -x -5y +8x

Combine like terms

-3y-5y -x+8x

-8y +7x