Which is the graph of f(x) = (x + 3)(x - 2​

Which Is The Graph Of F(x) = (x + 3)(x - 2

Answers

Answer 1

Answer:

Step-by-step explanation:

f(x) = (x + 3)(x - 2​) has two zeros:  One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).  

The axis of symmetry is a vertical line located halfway between -3 and 2:  

x =  -1/2.

The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).

With this information we can eliminate the last two possible answers.  Note that the x-intercepts of the first graph are -3 and 2,  Thus, the first graph is the correct one.


Related Questions


A water tank has a dimension 3 m long, 1.8 m wide and 2.2 m
high. It has a capacity of:

Answers

Answer:

The answer is 11.8 m

Step-by-step explanation:

Hey Mate,

the volume of a cuboid is = whl....so the volume of it is the capacity of the tank

so 3 x 1.8 x 2.2 = 11.88 m is the answer

Please help I’ll give brainliest

Answers

Exponent Laws

For this question, we will need to know that when we divide two numbers with the same base but different exponents, we must subtract the exponents.

[tex]\dfrac{a^m}{a^n}=a^{m-n}[/tex]

Solving the Question

[tex]\dfrac{9^5}{9^3}[/tex]

Subtract the exponents:

[tex]9^2[/tex]

Answer

[tex]9^2[/tex]

What is the solution to the system of equations?

One-fourth x minus one-half y = 8
One-half x + three-fourths y = negative 5
(–8, –12)
(–8, 12)
(8, 12)
(8, –12)

Answers

Answer:

(8 - 12 )

Step-by-step explanation:

Given

[tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] y = 8

[tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{4}[/tex] y = - 5

Multiply both equations through by 4 to clear the fractions

x - 2y = 32 → (1)

2x + 3y = - 20 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the x- term

- 2x + 4y = - 64 → (3)

Add (2) and (3) term by term to eliminate x

0 + 7y = - 84

7y = - 84 ( divide both sides by 7 )

y = - 12

Substitute y = - 12 into either of the 2 equations and solve for x

Substituting into (1)

x - 2(- 12) = 32

x + 24 = 32 ( subtract 24 from both sides )

x = 8

solution is (8, - 12 )

Answer:D:(8,-12)

Step-by-step explanation:took a test:D

Nishi invests £4700 at 6% interest per year. Work out how much she will have altogether after: 2 years- £ 5 years- £ 7 years- £ 10 years- £

Answers

Answer:

Step-by-step explanation:

To calculate the compound interest we want to multiply the amount of money (£4700) by the interest (6%) which would be the percentage multiplier!

To get the new amount we do:

Original amount × (percentage multiplier)ⁿ

The amount of years would be the indices.

For the first year:

£4700x1.06= £4982.

But we want to find out how much she will have altogether in different years.

So for two years:

£4700x1.03²= £5280.90 (rounded)

As you can see the amount of years will be the indices with the interest as our multiplier.

We do this again for 5 years and 10 years:

£4700x1.06⁵= £6289.70 (rounded)

£4700x1.06¹⁰=£8416.20 (rounded)

Hope this helps!

she does 3 sets of 8 pushups 7 days a week, how many pushups does she do in one week

Answers

Answer:

24 push ups

3 x 8 = 24

ksjsjsowjsnsoajjsodhew

Please help!
The table shows the game scores of five players. Andy’s brother, Kevin, also plays and gets a score of 9. Find the mean, median, and mode of the data in the table. Then, find the mean, median, and mode of the data in the table and Kevin’s score.

Answers

Answer:

The third one

Step-by-step explanation:

Median - Middle number in terms of value

Mode - outcome that appears the most

Mean - average ( add the numbers together and divide that by the amount of numbers )

Data without Kevins score

13, 21, 28, 9, 31

First let's find the mean

To find the mean we simply add the numbers up and divide that by the total amount of numbers ( there are 5 numbers )

13 + 21 + 28 + 9 + 31 = 102

102/5=20.4

So the mean without Kevins score is 20.4

Next let's find the mode

The mode is the number that appears the most

Looking at the data no number appears more than once so there is no mode

Finally let's find the median.

To make it easier to find let's list the numbers in order from least to greatest

9, 13 , 21 , 28, 31

We then go to the middle number ( which would be 21 )

The mode is 21

So for data without Kevins score the mean would be 20.4, the median would be 21 and the mode would be none

Now let's add in Kevin's score and repeat this process

Data with Kevin's score

13, 21, 28, 9, 31, 9

First let's find the mean

( Note that there is 6 numbers this time )

13 + 21 + 28 + 9 + 31 + 9 = 111

111/6 = 18.5

So mean with Kevin's score = 18.5

Next let's find the mode

The number 9 appears the most so the mode is 9

Finally let's find the mean

Once again let's list the numbers from least to greatest

9, 9, 13 , 21 , 28, 31

Because there is an even amount of numbers we will take the sum of the two middle numbers and divide that by 2

The two middle numbers would be 21 and 13

21 + 13 = 34

34/2=17

So median = 17

In the end we get the following

Without Kevins score

Mean = 20.4

Median = 21

Mode = none

With Kevin's score

Mean = 18.5

Median = 17

Mode = 9

This information corresponds with the third table

Pls help with step by step :)

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

the mean age of 8 people is 16 years. when mrs. hernandez's age is included, the mean age increases to 20. how old is mrs. hernandez?

Answers

Answer:

52

Step-by-step explanation:

8*16 = 128

8*20 = 180

180-128 =52

4
On Monday, Lucy had
$40.00. She spent $12.00
on lunch on Tuesday. On
Wednesday, Lucy's mother
found $6.90 in change and
gave half of the money to
Lucy. How much money
does Lucy have now?

Answers

Answer:

40-12=28

28+3.45=31.45

so now lucy has 31.45

Your Welcome

BIFFY OUT!!!

What method would I use? I am confused on how to solve it. [tex]9k^2+3=-20[/tex]

Answers

bring the -20 over to the left so that it’s

9k² + 3 + 20 = 0 [reverse the sign when you carry over]
9k² + 23 = 0 [add the 3 and 20]

solve as a quadratic eqn and you’ll get
k = 0-1.59861050777i
or
k = 0+1.59861050777i

since there’s an i in the answers, it means this equation has no solution (or in terms of graphs, does not intercept/touch the x-axis)

hope this helped!

Which ordered pairs make both inequalities true? Select two options. y < 5x + 2 y > One-halfx + 1 On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded. (–1, 3) (0, 2) (1, 2) (2, –1) (2, 2)

Answers

Answer:

(1, 2)

(2,2)

Step-by-step explanation:

The inequality Given :

y < 5x + 2

y ≥ One-halfx + 1

We can use the values in the options to see which satisfies the inequality :

(-1, 3) ; X = - 1, y = 3

3 < 5(-1) + 2 ; 3 < - 4 (not true)

(0, 2) ; X = 0 ; y = 2

2 < 5(0) + 2 ; 2 < 2 (nor true)

2 > 1/2(0) + 1

2 > 1 (true)

Using (1, 2).; x = 1 ; y = 2

2 < 5(1) + 2 ; 2 < 7 (true)

2 > 1/2(1) + 1 ; 2 > 1.5 (true)

Using (2, 2)

y < 5x + 2

2 < 10 + 2 ; 2 < 12 (true)

y > 1/2x + 1

2 > 1/2(2) + 1 ; 2

The circumference of a circle is 19π in. What is the area, in square inches? Express your answer in terms of π.

Answers

Answer:

A = 90.25 pi in^2

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

19pi = 2*pi*r

Divide each side by 2 pi

19pi / 2 pi = 2*pi*r/ 2pi

9.5 = r

The area is given by

A = pi r^2

A = pi ( 9.5)^2

A = 90.25 pi in^2

Answer:

The area of circle is 90.25 π inches².

Step-by-step explanation:

Given :-

Circumference of circle is 19 π in.

To Find :-

Area of circle

Solution :-

Firstly, we need to find radius of circle

Using formula

Circumference of circle = 2 π r

substitute the value

19 π inches = 2 π r

Divide each side by 2 π

19 π inches / 2 π = 2 π r / 2 π

9.5 inches = r

Now, Finding the area of circle

Using formula

Area of circle = π × r²

Where,

r, radius of circle = 9.5 inches

Substitute the values

Area of circle = π × ( 9.5 inches)²

Evaluate the exponent

Area of circle = π × 90.25 inches ²

multiply ,we get

Area of circle = 90.25 inches²

Hence, the area of circle is 90.25 π inches².


I honestly am so confused right now , pleas help

Answers

Answer:

never really liked accounting, but...

The Assets seem to total $33000

and the Liabilities also seem to add to $33000

that seems to be what is supposed to happen in an accounting problem

Step-by-step explanation:

It costs £420 for six tickets how much would 5 tickets be

Answers

5 tickets would be £350

Determine the location and values of the absolute maximum and absolute minimum for given function : f(x)=(‐x+2)4,where 0<×<3

Answers

Answer:

Where 0 < x < 3

The location of the local minimum, is (2, 0)

The location of the local maximum is at (0, 16)

Step-by-step explanation:

The given function is f(x) = (x + 2)⁴

The range of the minimum = 0 < x < 3

At a local minimum/maximum values, we have;

[tex]f'(x) = \dfrac{(-x + 2)^4}{dx} = -4 \cdot (-x + 2)^3 = 0[/tex]

∴ (-x + 2)³ = 0

x = 2

[tex]f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx} = -12 \cdot (-x + 2)^2[/tex]

When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2

We have, f(2) = (-2 + 2)⁴ = 0

The location of the local minimum, is (2, 0)

Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3

When x = 0, -x + 2 = 0 + 2 = 2

Similarly, we have;

-x + 2 = 1, when x = 1

-x + 2 = 0, when x = 2

-x + 2 = -1, when x = 3

Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16

The location of the local maximum is at (0, 16).

In the matrix below, what is the value of f32?
2
21
9
1
0
5
T-
16
8
4
0
32
7

Answers

Answer:

ans: 8

Step-by-step explanation:

t3×2 mean see the term in 3rd row and second column,

The value of the f 32 in the given matrix is 8.

What is matrix?

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

For example, is a matrix with two rows and three columns.

Given is a matrix of order 3x4, we need to find the object in f 32,

So, f 32

This means the entry in Row 3 Column 2

From the matrix we can see that f 32 = 8

Hence, the value of the f 32 in the given matrix is 8.

Learn more about matrix, click;

https://brainly.com/question/28180105

#SPJ7

find the area of a circle . diameter =30cm . suction

Answers

Area of Circle = pi * r* r

Diameter = 2* r

Radius = 30/2 = 15 cm

pi = 3.14

Area of circle = 3.14 * 15 *15 = 707.14 cm ^2

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

Answers

Answer:

X^2+7x+4

Step-by-step explanation:

On Monday the temperature was 12°C. On Tuesday it decreased by 12°C. Which expression can be used to represent this situation?​

Answers

334 uuu rrr try juice iijyt you

Kendra bought a gallon of milk and StartFraction 5 over 6 EndFraction of a pound of oranges. If the gallon of milk cost $3.60 and she spent a total of $4.35, which equation can be used to determine x, the cost of a pound of oranges?
3.60 + StartFraction 5 over 6 EndFraction x = 4.35
4.35 + StartFraction 5 over 6 EndFraction x = 3.60
3.60 x + StartFraction 5 over 6 EndFraction = 4.35
4.35 x + StartFraction 5 over 6 EndFraction = 3.60

Answers

Answer:

A. 3.60+5/6x=4.35  

Step-by-step explanation:

Total cost = milk + price per pound of oranges* number of pounds  

We know the total cost = 4.35 and the cost of the milk = 3.60  and the number of pounds of oranges = 5/6  

4.35 = 3.6 +5/6 * x

Answer:

a

Step-by-step explanation:

I need help asap!!!! 13 points​

Answers

If IK is the whole length of the line segment, then IJ + JK = IK.

IJ + JK = IK

(3x - 5) + (2x - 1) = (3x + 2)

3x + 2x - 5 - 1 = 3x + 2

5x - 6 = 3x + 2

2x - 6 = 2

2x = 8

x = 4

Now that we know the value of x, we can plug this value back into the expression for JK and evaluate.

JK = 2x - 1

JK = 2(4) - 1

JK = 8 - 1

JK = 7

Hope this helps!

the length of JK is 7

This is because JK + IJ = IK which means 2x-1+3x-5=3x+2
When you simplify this you will get x=4
You then plug 4 into your equation for JK so 2(4)-1 which equals 7

Find the mean, median and mode(s) of the data.
4, 6, 5, 4, 4, 5, 4,8
Mean
Median
Mode

Answers

Answer:

mean = 5

median = 4.5

mode = 4

Step-by-step explanation:

Mean :

n = 8

sum of all items = 4+6+5+4+4+5+4+8

= 10+9+9+12

= 19+ 21

= 40

so,

mean = sum of all items/ n

= 40/8

= 5

mean = 5

Median:

ascending order: 4,4,4,4,5,5,6,8

n = 8

md = (n+1)/2 the term

= (8+1)/2 th term

= 9/2 th term

= 4.5 th term

= (4th + 5th) / 2

= (4+5)/2

= 9/2

= 4.5

median = 4.5

x. f.

4. 4

5. 2

6. 1

8. 1

here the highest frequency is 4 and 4 is corresponding to 4

so, mode = 4

find the measure of the missing angle (#4 btw)

Answers

Answer:

Step-by-step explanation:

1)

∠1 = ∠2     {Angles opposite to equal angles are equal}

∠1 = ∠2 = x

x +x + 55 = 180  {angle sum property of triangle}

2x + 55 = 180

        2x = 180 - 55

        2x = 125

          x = 125/2

x = 62.5

∠1 = 62.5

2) ∠2 = 62.5

3) ∠3 = 55         {Vertically opposite angles are congruent}

4) ∠4 + 105 = 180        {linear pair}

∠4 = 180 - 105

4 = 75

5) ∠3 + ∠4 + ∠5 = 180 {Angle sum property of triangle}

    55 + 75 +∠5 = 180

            130 + ∠5 = 180

                     ∠5 = 180 - 130

5 = 50

The graph shows the function f(x) = 2*.
What is the value of x when f(x) = 8?
a ) 0
b) 3
c) 1
d) 2

Answers

Answer:

3

Step-by-step explanation:

you can see this on the graph; just find 8 on the y axis and look for the value of x that corresponds to it

Using the equality of surds theorem, solve this question
In the question solve for a and b

Answers

Step-by-step explanation:

76.72135955 is the answer I think So if the answer is correct then plz mark me as brainliest

This is for Algebra 2 please someone help T^T

Answers

Answer:

-(a)^2 + a - 11

Step-by-step explanation:

N - T = -3(a)^2 + 2a - 5 - (-2(a)^2 + a + 6)

        = -3(a)^2 + 2a - 5 +2(a)^2 - a - 6

        = -3(a)^2 + 2(a)^2 + 2a - a - 6 -5

        = -(a)^2 + a - 11

??? What’s the answer

Answers

let's calculate the front face area and then multiply by 8cm to get the volume

18cm*24cm / 2 *8cm

= 1728cm³

It is given the quadratic equation (q + 1 )x² - 8x + p = 0,where p and q are constants,has two equal real roots.Express p in terms of q.
Do help meeee!!!
i'll mark u as the brainliest!​

Answers

Answer:

p = [tex]\frac{16}{q+1}[/tex]

Step-by-step explanation:

Since there are 2 equal roots then the value of the discriminant is zero, that is

b² - 4ac = 0

Given

(q + 1)x² - 8x + p = 0 ← in standard form

with a = q + 1, b = - 8, c = p , then

(- 8)² - 4p(q + 1) = 0

64 - 4p(q + 1) = 0 ( subtract 64 from both sides )

- 4p(q + 1) = - 64 ( divide both sides by - 4 )

p(q + 1) = 16 ( divide both sides by q + 1 )

p = [tex]\frac{16}{q+1}[/tex]

The curve has two equal roots meaning it’s a tangent that meets the curve at only one point. Therefore, the determinant will be equal to 0.

a = (q + 1)
b = -8
c = p

Kofi paid rent of GH¢ 1,800.00 each year. If the rent is 0.3 of his annual income, find his annual income

Answers

Answer:

To find = his annual income

solution = annual income be = x

0.3 of x = 1,800

= 0.3x = 1, 800

= x = 6, 000

Annual income of GH¢ is = 6 , 000

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

t has a value of 5/2. p is the sum of t and v, and p has a value of 0. What is the value of v?

Answers

Answer:

Step-by-step explanation:

If p = t + v and t is 5/2 and p is 0, then

0 = 5/2 + v and

v = -5/2

Other Questions
The Bug House purchased some new machinery last year at a total cost of $18,500. The depreciation to date on this machinery is $3,400. Should the firm opt to sell the machinery today, it could probably do so at a price of $14,150. What is the current book value of this machinery The sum of the angles of a triangle isSelect one:a. 360b. 180c. 90d. 60 find What is the term for presenting someone else's words or ideas as your own?A. ParaphrasingB. PlagiarismC. SynthesisD. Analysis The following information was taken from the income statement and balance sheet of The Perryman Company for the years 2018 and 2019: 20192018 Sales revenues$590,000 $574,000 Net income212,000184,000 Total assets2,142,0001,998,000 Total stockholders equity712,000690,000 Compute the following ratios for 2019: Drug abuse can affect your body in all the following ways except(DONT GUESS) A. abnormal heart rates B. bleeding ulcers C. overproduction of sodium D. stunted bone growth Which of the following is an example of data organization?A. administering questionnairesB. calculating a standard deviationc. representing data with a histogramD. declaring a statistically significant difference between groups select the correct answer from each drop-down menuIn most local governments, the mayor and council members have...(four-year, two-year, one year) terms. Local elections are usually held separately from national elections, and...(about the same number of, fewer ,many more people usually vote in local elections than in national elections. In which layer of the soil seed germination takes place? Give reasons to support your answer. A car accelerates from 0-30m/s in 5 s. It has a mass of 1200kg. What force does the engine produce? *A) 36000NB) 7200NC) 60000ND) 2000Ninclude explanation please Which of the following best describes a population? Someone help me with this question please If supply and demand are inelastic, Government can be viewed as overlapping circles of influence and responsibility.TrueO False The application part of an informational texts tell us what the real world use is for the information that is presented.Please select the best answer from the choices providedt or f Celeste is planning to buy a new bedroom set. Because sales tax rates can vary from town to town,Celeste wants to compare the sales tax rates at two retail locations before making the purchase.The price of the new bedroom set that Celeste wants to buy is $2,734. The sales tax rates in thetwo cities at the time of purchase are given in the table. How do u create a blank line between two lines in a document The Law, Public Safety, and Security career cluster would include?Teachers, Doctors, and Firefighters.Police Officers, Firefighters, and Prison Guards.Park Guides, Teachers, and Prison Guards.Doctors, Police Officers, and Park Guides. Wallace Container Company issued $100 par value preferred stock 12 years ago. The stock provided a 9 percent yield at the time of issue. The preferred stock is now selling for $72. What is the current yield or cost of the preferred stock que es el handbol? Es un deporte? cmo se juega? cuantos jugadores? Busca informacin sobre esto