How do i graph the quadratic function f (x)=-(x-3)(x+1)

Answers

Answer 1

Answers:

It's basically Inside, Outside, Outside, Inside. (I. O.O.I.)

Explanations:

Given

[tex]f(x)=-(x-3)(x+1)[/tex]

Distribute the (-1) to (x-3)

[tex]f(x)=(-x+3)(x+1)[/tex]

Now let's work the I. O. O. I.

Inside:

[tex](-x)(x)=-x^2[/tex]

Outside:

[tex](-x)(1)=-x[/tex]

Outside:

[tex](3)(x)=3x[/tex]

Inside:

[tex](3)(1)=3[/tex]

Add both the outsides (-x) and (3x) together

[tex]-x+3x=2x[/tex]

Your new equations is now.

[tex]f(x)=-x^2+2x-3[/tex]


Related Questions

make x the subject of m=n + x/p

Answers

Answer:

[tex] \boxed{x = p(m - n)} [/tex]

Step-by-step explanation:

[tex] = > m = n + \frac{x}{p} \\ \\ = > m = (n \times \frac{p}{p} ) + \frac{x}{p} \\ \\ = > m = \frac{pn}{p} + \frac{x}{p} \\ \\ = > m = \frac{pn + x}{p} \\ \\ = > mp = pn + x \\ \\ = > x + pn = pm \\ \\ = > x = pm - pn \\ \\ = > x = p(m - n)[/tex]

(2x -2)^-3
can anyone help me with this?​

Answers

Answer: See below

Step-by-step explanation:

When you see that something is to the power of a negative number, it is another way of saying 1 over.

[tex](2x-2)^-^3=\frac{1}{(2x-2)^3} =\frac{1}{(2x-2)(4x^2-8x+4)} =\frac{1}{8x^3-8x^2+8x-8}[/tex]

Complete the recursive formula of the geometric sequence-0.56,-5.6,-56,-560

Answers

-5600
A geometric sequences is when the previous term is used to find the next. In this case you multiply 10 to the previous term to find the next giving u -5600

The full recursive formula can be defined by these two parts

[tex]\begin{cases}a_1 = -0.56\\ a_n = 10*a_{n-1}\end{cases}[/tex]

The top part tells us the first term is -0.56, while the second part says to get each new term we multiply the prior term by 10

second term = 10*(first term) = 10*(-0.56) = -5.6

third term = 10*(second term) = 10*(-5.6) = -56

etc etc

The height of a baseball, in feet, is represented by this expression, where t is time in seconds. The height of the baseball after 3.5 seconds is feet.

Answers

Answer:

The height of a baseball, in feet, is represented by this expression, where t is time in seconds.

-16t2+64t+3

The height of the baseball after 3.5 seconds is ___ feet.

Step-by-step explanation:

Consider the provided expression.

The height of a baseball, in feet, is represented by this expression, where t is time in seconds.

[tex]h=-16t^2+64t+3[/tex]

To find the height of the baseball  after 3.5 seconds, substitute the value of t = 3.5 in above expression

[tex]h=-16(3.5)^2+64(3.5)+3h\\\\=-16(12.25)+224+3h\\\\=-196+227h=31[/tex]

Hence, the height of the baseball after 3.5 seconds is 31 feet.

Answer:

31feet

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The height of a baseball, in feet, is represented by this expression -16t²+64t+3, where t is time in seconds. The height of the baseball after 3.5 seconds is___ feet.

Given the height of the baseball modeled by the equation

h(t)  = -16t²+64t+3

To get the height of the baseball after 3,5secs, we will substitute t = 3.5s into the equation of the height as shown;

[tex]h(3.5) = -16(3.5)^{2} +64(3.5)+3\\h(3.5) = -16(12.25)+224+3\\ h(3.5) = -196+224+3\\ h(3.5) = -193+224\\ h(3.5) = 31feet[/tex]

The height of the baseball after 3.5 seconds is 31feet.

Anyone good at exterior angles of triangles ? I WILL MARK THE BRAINLIEST ANSWER

Answers

Answer:

Answer B and F are correct.

Step-by-step explanation:

[tex] angle \: 3 \: \: and \: \: \: angle \: \\ \: \: 4 \: \: \: \: are \: \: \: the \: \: exterior \\ angles \: \: \: \: in \: this \: \: traingle[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Solve the following system. x squared / 25 + y squared / 100 = 1 x squared + y squared = 25

Answers

Answer :

[tex] \frac{1}{100} (4 {x}^{2} + {y}^{2} )[/tex]

[tex] \frac{dy}{dx} = \frac{ - x}{y} [/tex]

what is the solution of equations graphed below?
A. (2,4)
B. (4,2)
C. (0,6)
D. (6,0)​

Answers

Answer:

(4,2)

Step-by-step explanation:

The solution to the system is where the two graphs overlap

The two graphs cross at x=4 y =2

(4,2)

Answer & Step-by-step explanation:

To find the solution of equations graphed on a line, the solution is going to be the point where the two lines meet or cross.

So, in the diagram, we can see that the equations do cross at a certain point. This point is (4,2).

So, the solution of the equations graphed is (4,2)

urgent please help me!!!!

Answers

Answer:

D. both lines

Step-by-step explanation:

I am 100% sure! Please give brainiest!!!

What type of transformation has taken place in the picture shown?
10
D
В
-10
-5
0
5
10
C'
-B-5
A!
-101
O translation
O rotation
O reflection
O dilation

Answers

Answer:

Reflection and translation.

Step-by-step explanation:

The picture shows the preimage ABCD and the image A'B'C'D'.

Notice that both images are at the same distance from the x-axis, which implies a reflection across the x-axis. Them, the image was translated 1 units to the left.

Therefore, the right answers are reflection and translation.

Find the missing side. Leave your answer in simplest radical form.

Answers

Answer:

[tex] \sqrt{19} \: units[/tex]

Step-by-step explanation:

Given is a right angled triangle in which x represents the hypotenuse.

Therefore, by Pythagoras theorem:

[tex]x = \sqrt{( { \sqrt{10} })^{2} + {3}^{2} } \\ \\ = \sqrt{10 + 9} \\ \\ = \sqrt{19} \: units \\ [/tex]

pls help me 19 POINTS

Answers

Answer:

x=10

Step-by-step explanation:

x-4=6

To isolate x, you can add 4 to both sides of the equation:

x-4+4=6+4

x=10

Hope this helps!

Step-by-step explanation:

x=10

Find the slope of the line that passes through (6, 15) and (10, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

m=-5/4

Step-by-step explanation:

the slope is always defined as "the change in y over the change in x" m= y2-y1/x2-x1

Please help! Correct answer only! I've been stuck on this question for hours and I need to finish this assignment before tomorrow.

In a raffle, one ticket out of 500 will win a $390 prize, three tickets will win a $230 prize, and sixteen tickets will win a $170 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?

Answers

The first question was answered on another page.

As for your second question, you are unfortunately not correct.

We can check each possible answer by adding up the costs for each road. I recommend getting a marker out to trace the path, to help keep track of which roads were taken.

So we have...

Circuit ABDCA will cost AB+BD+DC+CA = 220+210+230+240= 900 in total (not 890). We can rule out choice A because the 890 and 900 don't match up.Circuit ACDBA will cost AC+CD+DB+BA = 240+230+210+220 = 900 in totalCircuit ABCDA will cost AB+BC+CD+DA = 220+200+230+310 = 960 in total

We see that Circuit ACDBA is the cheaper route of the answer choices given, and it perfectly matches with choice 2.

This may or may not be the cheapest route. I'm not all that familiar with the Nearest Neighbor algorithm to properly find the cheapest route (the next best thing is brute force). Luckily we can just use the answer choices as shown above. Besides the question doesn't ask for the absolute cheapest, but instead, "one of the cheapest".

So once again, the answer for the second question is choice 2

The graph of g(x) = (x+2)^2 is a translation of the graph of f(x) ___by___units

Answers

Answer:

The graph of g(x)=(x+2)^2 is a translation of the graph of f(x) LEFT by TWO units.

A bag contains 10 red pens, 15 blue pens, and 20 black pens. Joseph will pull a pen from the bag.
When Joseph pulls a pen from the bag, how many outcomes are possible?

A) 45
B) 10
C) 20
D) 15

Answers

Answer:

45 different outcomes

Step-by-step explanation:

There are 10+15+20 = 45 pens in the bag

Since he is pulling one pen,  and there are 45 different pens in the bag, there are 45 different outcomes

Answer:

45 fsfs

Step-by-step explanation:

i just took a test and got it right

(PLZ NEED HELP) The doubling time of a bacterial population is 10 minutes. After 80 minutes, the bacterial population was 80000. _____
Using your rounded answer for the initial population above (do not round your growth rate), find the size of the bacterial population after 5 hours.____

Answers

Answer:

Initial population = 313

Population after 5 hours = [tex]3.36 \times 10^{11}[/tex]

Step-by-step explanation:

Let initial population = [tex]x[/tex]

It is given that population gets doubled every 10 minutes.

Population after 10 minutes = [tex]2x[/tex]

Population after 20 minutes = [tex]2^{2} x[/tex]

:

:

Population after 80 minutes = [tex]2^{8} x[/tex] and it is given as 80000.

[tex]\Rightarrow 2^{8} x = 80000\\\Rightarrow x = \dfrac{80000}{256}\\\Rightarrow x = 313[/tex]

So, initial population is 312.5 = ~313

To find, population after 5 hours i.e. 5 [tex]\times[/tex] 60 = 300 minutes

Population after 300 minutes =

[tex]2^{30} x\\\Rightarrow 2^{30} \times 313\\\Rightarrow 3.36 \times 10^{11}[/tex]

So, the answers are:

Initial population = 313

Population after 5 hours = [tex]3.36 \times 10^{11}[/tex]

The relationship between two variables a and b is proportional. When a is 3, b is 25.5. Write an equation to represent this relation.

Answers

Answer:

y = 8.5x

Step-by-step explanation:

A proportional relation in one in which change of value of y with respect to change of value of x remains proportional. It can be represented by equation

y = kx, where k is constant of proportionality

________________________________________________

Let  the  relation be

y = kx

but we have a as 3 and b as 25.5

thus

substituting value of and a and b in y = kx , we have

25.5 = k*3

=> k = 25.5/3 = 8.5

Thus, equation which can represent this relation is y = 8.5x

Visualise 3.45 bar up to 3 places of decimal

Answers

Answer:

That would be 3.455

Step-by-step explanation:

3.45 bar means the 45 at the back is repetitive.

So we have something like;

3.454545454

Now writing this to three decimal places becomes 3.455

HELP
According to the Rational Root Theorem, Negative 2/5 is a potential rational root of which function?
f(x) = 4x4 – 7x2 + x + 25
f(x) = 9x4 – 7x2 + x + 10
f(x) = 10x4 – 7x2 + x + 9
f(x) = 25x4 – 7x2 + x + 4

Answers

Answer: Answer is f(x) = 25x4 - 7x2 + x + 4

Step-by-step explanation:

Answer:

d on edg

Step-by-step explanation:

help..................

Answers

Answer:

D

Step-by-step explanation:

Let's say we're translating the origin, (0, 0) left 6 units and up 4 units. We would get ( -6, 4), which is (x - 6, y + 4), which is D

Choose the two steps that are part of factoring the trinomial 6x2 + 17x + 5 by grouping.

a. 6x2 + 9x + 8x + 5

b. (3x + 1)(2x + 5)

c. x(6x + 17) + 5

d. 3x(2x + 5) + 1(2x + 5)

Answers

Answer:

b

Step-by-step explanation:

given

6x² + 17x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × 5 = 30 and sum = 17

The factors are 2 and 15

Use these factors to split the x- term

6x² + 2x + 15x + 5 ( factor the first/second and third/fourth terms )

= 2x(3x + 1) + 5(3x + 1) ← factor out (3x + 1) from each term

= (3x + 1)(2x + 5) → b

The two steps are [tex]3x(2x+5)+1(2x+5)[/tex] and [tex](3x+1)(2x+5)[/tex]. So, options b and d are correct.

Important information:

The given trinomial is [tex]6x^2+17x+5[/tex].Factoring:

Splitting the middle term, we get

[tex]6x^2+15x+2x+5[/tex]

After grouping, we get

[tex](6x^2+15x)+(2x+5)[/tex]

Taking out common factors, we get

[tex]3x(2x+5)+1(2x+5)[/tex]

Now, it can be written as:

[tex](3x+1)(2x+5)[/tex]

Therefore, the correct options are b and d.

Find out more about 'Factoring' here:

https://brainly.com/question/2416165

Kite ABCD is translated (x − 2, y + 3) and then rotated 90° about the origin in the counterclockwise direction. Complete the table to show the locations of A″, B″, C″, and D″ after both transformations. I need help

Answers

Answer:

A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)

Step-by-step explanation:

Rule of rotation about the origin at an angle of 90° in the counterclockwise direction:

The stated value of (x, y) after performing the translation are switched or interchanged, with x used as the y coordinate value and the negative value of y used as the x coordinate value. That is ;

(x, y) - - - -> (-y, x)

Solving the problem above:

Applying translation: (x-2, y+3), then rotating about the origin at 90° in the counterclockwise direction.

A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4)

(-7, 4) - - -> A' = (-4, - 7)

B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5)

(-4, 5)- - -> B' = (-5, -4)

C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4)

(-3, 4) - - -> C' = (-4, -3)

D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3)

(-4, 3)- - -> D' = (-3, -4)

Answer:

the other guy is correct.

Step-by-step explanation:

sum interior of polygon help!

Answers

540 degree = interior angles

Answer:

180

Step-by-step explanation:

PLEASE HELP URENT What is the length of leg s of the triangle below?
45°
412
90°
45°
S
O A. 4
O B. 2
O C. 4.4
O D. 1
O E. 52
O F. 5.6

Answers

Answer:

4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = s / 4 sqrt(2)

Multiply each side by 4 sqrt(2)

4 sqrt(2) *sin 45 = s

4 sqrt(2) * 1/ sqrt(2) =s

4

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!!

Answers

Answer:

Y=x^2+8

Step-by-step explanation:

Here is a rectangle ABCD the length of the rectangle is increased by 10% The width of the rectangle is increased by 5% Find the percentage increase in the perimeter of the rectangle

Answers

Answer:

7.5 % increase

Step-by-step explanation:

So,first we  know that Square is also a special type of Rectangle,

so consider a Square with side 100 unit ,

Initially, After increament in side

Length = 100 unit -(increases by 10% ,So 110% of 100)    NEW length = 110 unit

width = 100 unit (increases by 5% ,So 105% of 100)     NEW  width =     105

initially, Perimeter of Rectangle = 2 x (L + B)  = 2 x (100 +100)

                                                              = 400 unit

After increment in length and width

Perimeter of New Rectangle = 2 x (L + B)  = 2 x (110 +105)

                                                                     = 430 unit

So we can clearly see that there is an increase of 30 unit in perimeter from initial.

Therefore ,% increase in perimeter will be

                   (final perimeter - initial perimeter)/initial perimeter x 100

                      =  (430 - 400)/400 x 100

                      = 7.5 % increase

Answer:

increased by 8%

Step-by-step explanation:

Find the 19th term of this Geometric Sequence: 3, 6, 12, 24, 48, 96, ........ *

Answers

Answer:

786432

Step-by-step explanation:keep multipying it by 2 stupid

The 19th term of the given geometric sequence is 786432.

Important information:

Geometric Sequence: 3, 6, 12, 24, 48, 96, .... .Geometric Sequence:

The nth term of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]        ...(i)

Where a is the first term and r is the common ratio.

In the given geometric sequence, [tex]a=3[/tex] and [tex]r=\frac{6}{3}=2[/tex].

Substitute [tex]a=3,r=2,n=19[/tex] in (i) to find the 19th term.

[tex]a_{19}=3(2)^{19-1}[/tex]

[tex]a_{19}=3(2)^{18}[/tex]

[tex]a_{19}=3(262144)[/tex]

[tex]a_{19}=786432[/tex]

Therefore, the 19th term of the given geometric sequence is 786432.

Find out more about 'Geometric Sequence' here:

https://brainly.com/question/1261702

I need help please! I’m really confused about it

Answers

The answer is 1 and 3

find the area of a circle

Answers

Answer:

the area is 28.2

Step-by-step explanation:

28.27433388

Answer: hello this its 28.27433388

thats what i got

Step-by-step explanation:

y is equal to the product of 3 and x divided by 9; x = -6 What is the output?

Answers

Answer:

Out put would be - 2

Step-by-step explanation:

[tex]y = 3x \div 9 \\ y = \frac{3x}{9} \\ y = \frac{x}{3} \\ plug \: x = - 6 \\ y = \frac{ - 6}{3} \\ \huge \purple{ \boxed{ y = - 2}}[/tex]

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