What are the domain and the range of this function? (PLEASEEE HELP MEE!!))​

Answer:

[tex] \frac{3}{x - 1} - \frac{4}{2 } - \frac{2}{x - 1} \\ = \frac{(3 - 2)}{x - 1} - 2 \\ = \frac{1}{x - 1} - 2 \\ = \frac{1 - 2x + 2}{x - 1} \\ = \frac{3 - 2x}{x - 1} [/tex]

Rewrite the equation in expanded form:

(X+2)^2 -1 = x^2 + 4x + 3

The parabola parameters are : a = 1, b = 4, c = 3

The x vertex is -b/2a = -4/2(1) = -2

Replace x with -2 in the expanded equation to solve for the y vertex:

Y = -1

The vertex is (-2,-1)

x-value of the vertex:-2

Answer:

Solution given:

we have

f(x)=(x+2)²-1

y=x²+4x+3......(I)

parameters of parabola are:

a=1

b=4

c=3

we have

vertex=-b/2a=-4/(2*1)=-2

substitute value of x in equation 1.

y=4-8+3= -1

So

vertex(-2,1)

Answer:

6.28km

Step-by-step explanation:

Hey,

We know that the circumfrence is the perimetert of a full circle. If we want to find the perimeter of a semicircle all we have to do is find the circumfrence and then divide it by 2 since we want to know the perimeter of half the circle.

Circumfrence is equal to 2πr. Where r is the radius and since we know the radius we an solve for the circumfrence.

2(π)(1km)=2kmπ.

The problem tells us to use 3.14 for pi so let's multiply 2 by 3.14.

6.28km is the answer!

Answer:

Answer:

A. 8

Step-by-step explanation:

Keep in mind my answer choices are in a different order.

Answer:

[tex]126\frac{6}{19}[/tex] £

Step-by-step explanation:

£1 = €1.14  /[tex]*\frac{144}{1.14}[/tex]

£[tex]\frac{144}{1.14}[/tex]=144€= [tex]126\frac{6}{19} \\[/tex]£

Answer:

slope

Step-by-step explanation:

The slope is the rise divided by the run

Answer: The slope.

Step-by-step explanation: That's what I think.

Answer:

r=2p

Step-by-step explanation:

If r is ruler and p is pen, ruler equals pen times 2, so its r=2p

Answer:

x= 2 or x= -2

Step-by-step explanation:

3x² -9= 3

+9 on both sides:

3x²= 9 +3

Simplify:

3x²= 12

Divide by 3 on both sides:

x² =4

Square root both sides:

[tex]x = \sqrt{4} [/tex]

x= 2 or x= -2

38.

f(3)

= 5(3) - 2

= 15 - 2

= 13

39.

5x - 20 = 0

=> 5x = 0 + 20

=> 5x = 20

=> x = 20/5

=> x = 4

38.)

option H

F(3) = 13

39.)

option C

40.)

{-4 , 8}

Answer: 10

We know that the radius of a circle is always perpendicular to the tangent. And so apply the Pythagoras theorem.

Answer:

The answer would be 10.

Step-by-step explanation:

We're doing C^2 - B^2 = A^2 since we know the hypotenus. 26 x 26 is 676 and 24 x 24 is 576. Subtract the two products to get 100. The square root of 100 is 10.

Answer:

60 or 60:1

Step-by-step explanation:

You will have to divide 180 by 3 which is 60 or you can divide 160 / 3 = 60 & divide 3 / 3 = 1.

Answer:

60

Step-by-step explanation:

60

Answer:

4, x-1

Step-by-step explanation:

The first piece of this function goes from -1 to 1. Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.

The second piece of this function goes from 3 to 5. This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1. Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis). When putting this equation together we get x-1 being the second part.

The solution is:

The graph represents the piecewise function:

f(x)= { 4, if -1 ≤ x ≤ 1;

         (x - 1), if 3 ≤ x ≤ 5 }

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

The first piece of this function goes from -1 to 1.

Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.

so, we have,

The second piece of this function goes from 3 to 5.

This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1.

Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis).

When putting this equation together we get x-1 being the second part.

Hence, The solution is:

The graph represents the piecewise function:

f(x)= { 4, if -1 ≤ x ≤ 1;

         (x - 1), if 3 ≤ x ≤ 5 }

To learn more on graph click:

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Answer:

vertical hope this helps

Answer:

vertical, goodluck

Step-by-step explanation:

I took this

Answer:

18. C

19.A

20. C

Step-by-step explanation:

18.

x< 15 where x is the average that each person contributes.

This gives 3x <45, limiting the gift basket's total cost to < $45. (Actually ≤ 14.99 per person, so max cost is $44.97.

19. simple algebra

a <= -4 + 7

a <= 3

20.

since u divide and the co efficient is negative u flip the sign

-3m<15

m>-5

Answer:

x = 20

Step-by-step explanation:

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

6x-4 + 3x+4 = 180

Combine like terms

9x=180

Divide by 9

9x/9 = 180/9

x= 20

20

Hope this helps! :)

______________

Answer:

Angle NQR congruent to Angle MRQ because it is given

Side QR is congruent to side QR because they are the same side

Angle NRQ is congruent to angle MQR because they are the equal angles of an isosceles triangle

Triangle QNR is congruent to Triangle RMQ by ASA

Step-by-step explanation:

It's actually pretty simple.  first you should be able to know angles NRQ and  MQR are congruent because triangle PQR is isosceles .  So now if you look at the two other triangles you can say angle NQR is congruent to angle MRQ, because of the information given, and with wht I just explained angles NRQ and MQR are congruent.  So now you can say the two triangles are similar by the angle angle postulate.  

To Say they are congruent since QR is the same for both triangles you can use the ASA postulate

Answer:

i hope this will help u

Step-by-step explanation:

if p(0) so answer is 0

if p(1) so answer is 7/2 or 3.5

Answer:

y=3/5x+1

Step-by-step explanation:

Hi there!

We are given the equation -3x+5y=-8 and we want to find the equation of the line that is parallel to -3x+5y=-8 and contains the point (-15,-8)

parallel lines have the same slopes, but different y intercepts.

So let's first find the slope of -3x+5y=-8

We can do this by converting the equation from standard form (ax+by=c where a, b, and c are free coefficients (numbers)) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

add 3x to both sides

5y=3x-8

divide by 5 on both sides

y=3/5x-8/5

3/5 is in the place of where m is, so that means that 3/5 is the slope of the line

we can write the equation of the new line in slope-intercept form.

Here it is so far:

y=3/5x+b

we need to find b

Because the line will pass through the point (-15,-8), we can use it to solve for b

substitute -15 as x and -8 as y

-8=3/5(-15)+b

multiply

-8=-9+b

add 9 to both sides

1=b

substitute 1 as b into the equation

y=3/5x+1

There's the equation of the line :)

Hope this helps!

Answer: [tex]x^2+16x-612=0[/tex]

Step-by-step explanation:

Let x be the length of the poster.

As per given , width = [tex]\dfrac{x}{2}+8[/tex]

Area = Length x width

i.e.

[tex]306=(\dfrac{x}{2}+8)\times x\\\\\Rightarrow 306=(\dfrac{x+16}{2})\times x\\\\\Rightarrow 306\times2=x^2+16x\\\\\Rightarrow\ x^2+16x-612=0\\\\\Rightarrow\ x=18, x=-34[/tex].

Required equation: [tex]x^2+16x-612=0[/tex]

Answer:

4X+5

Step-by-step explanation:

Dan : X

Harry: X+5

Regan: 2X

X+X+5+2X

Answer:

[tex]Mean = \frac{4x + 5}{3}[/tex]

Step-by-step explanation:

Given:

Dan sold = x

Harry sold 5 more than Dan, that is = x + 5

Regan sold twice as Dan = 2x

[tex]Mean = \frac{ Total \ cars \ sold}{number\ of \ them \ sold \ it }\\\\Mean = \frac{x + ( x+ 5) +2x }{3} = \frac{4x + 5}{3}[/tex]

Answer:

b≤3

Step-by-step explanation:

For this problem, you want to solve it similarly to linear equations.

We start with 4b+6≤18.

Subtracting 6 from both sides gives 4b≤12.

From there, in order to isolate the b, we must divide both sides by 4, leaving b≤3.

**This content involves solving linear inequalities, which you may wish to revise. I'm always happy to help!

Answer:

3) y+5-(1/3)x =7

Step-by-step explanation:

Find at least three solutions to the equation y = 2x, and graph the solutions ... points to make a line. Find the slope of the line. y=3x- x. 3x-1 . -6 -5 -4 -3 -2 -1 ... Solve the following equation for y, and then identify the slope of the line​

Answer and Step-by-step explanation:

I think it wants you to keep it in the form it showed. I remember doing this this year, so it should be:

[tex]\frac{f(a+h)-f(a)}{h} = \frac{3a +3h + 6 -(3a + 6) }{h}[/tex]

Then after this step you distribute the negative, and combine like terms. After, you divide the h and you get 3 as your answer.

IF it still doesn't work like how I showed it, contact your teacher for help, saying you are pretty sure you got it right (if you put mine and it didn't work) but it is saying it is incorrect.

#teamtrees #PAW (Plant And Water)

Answer:

2x+6>20

2x>20-6

2x/2>14/2

x>7

So your answer would be B

Answer:

Step-by-step explanation:

a

The height of the tower is 44.23 meters after applying the sin law in a provided triangle.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have:

A communication tower is built on the slope of a hill.

A surveyor, 50m uphill from the base of the tower, measures an angle of 50 between the ground and the top of the tower.

Applying sin law:

sin50/AB = sin60/50

AB is the height of the tower.

sin50/AB = 0.0173

AB = 44.227 ≈ 44.23 meters

Thus, the height of the tower is 44.23 meters after applying the sin law in a provided triangle.

Learn more about trigonometry here:

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Answer:

27.7

Step-by-step explanation:

Pythagorean Theorem

[tex]88.3^{2}[/tex] - [tex]10.7^{2}[/tex] = [tex]x^{2}[/tex]  (10.7 comes from half of the 21.4 side)

[tex]x^{2}[/tex] = height

Okay, so it sounds like you just need a die to do this assignment. If you need a website, you can use this: https://freeonlinedice.com/#dice

There should already be one die here. Just click "roll" and record the value at the top of the screen labeled "total." Do this 30 times and write down the values each time.

I am sorry for not giving you the answer right away, I would but my school blocked the website of the link I put above.