A quadratic equation is shown below

9x^2-36x+36=0

A Determine the radicand discriminat... the number under the radical sign tell how many solutions this equation has and indicate how you know based on the radicand show your work

B solve 2x^2-9x+7 for using x an appropriate method show the steps of your work

Answers

Answer 1

9514 1404 393

Answer:

  A.  d = 0 -- one (1) solution

  B.  x = {1, 3.5}

Step-by-step explanation:

A. The discriminant for ax²+bx+c = 0 is ...

  d = b² -4ac

For the given equation, this is ...

  d = (-36)² -4(9)(36) = 0

The discriminant is zero (0).

The discriminant divided by the leading coefficient (a=2) will give the difference between the two roots of the equation. When the difference is zero, as here, both roots are the same. Effectively, there is one (1) solution to the equation.

__

B. The equation can be factored as ...

  2x² -9x +7 = (2x -7)(x -1) = 0

The solutions are the values of x that make the factors be zero:

  2x -7 = 0  ⇒  x = 7/2

  x -1 = 0  ⇒  x = 1

  The solutions are x = 7/2  or  x = 1.


Related Questions

Helpppppppppppppp pleaseeeeee

Answers

Answer:

$79.45

Step-by-step explanation:

4.5% of 70 = 3.15

3.15x 3 = 9.45

70+9.45 = $79.45

If gas costs $3.49 per gallon how many whole gallons of gas could you buy with $65.00

Answers

Answer:

18.62

Step-by-step explanation:

Answer:

18 whole gallons

Step-by-step explanation:

65 divided by 3.49=18.6246418= 18 whole gallons

Hope I helped!! :)

Brainliest?!?!

Stay safe and have a good day/night/afternoon!!!

Please I need HELP



Multiply the following polynomials. The solution must be in standard form.
(-3m2 – 3m) (-3m4 +
3m3
+
m2 + m)
0 -9m + 9m4 + 9m2 – 9
O 9m
9m4 - 6m3 – 3m
9m
12m4 – 6m² – 3m?
6
O 9m
12m4
3m3

Answers

9514 1404 393

Answer:

  [tex]\text{(c)} \quad 9m^6-12m^4-6m^3-3m^2[/tex]

Step-by-step explanation:

As is often the case with multiple choice questions, you only need to identify a feature of the answer set that distinguishes right from wrong. Here, that can be the lowest-power term, which is always the product of the lowest-power terms.

That product is (-3m)(+m) = -3m². This matches the third answer choice.

  [tex]9m^6-12m^4-6m^3-3m^2[/tex]

Please answer this for me
A
B
C
D
E

Answers

Answer:

D

Step-by-step explanation:

The range of a set of numbers is

range = largest number - smallest number , then

range = 25 - 6 = 19 → D

Is EF and GH parralel and how can this be determined?

Answers

Answer:

We have slope of EF : [tex]\mathbf{\frac{-4}{5}}[/tex] and slope of GH: [tex]\mathbf{\frac{-4}{5}}[/tex]

Both have same slope, so EF is parallel to GH i.e. EF || GH

Step-by-step explanation:

We need to find Is EF and GH parallel.

If EF and GH are parallel, they have same slopes.

So, we will find slopes of EF and GH

The formula used is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of EF

We have: E(2,5) and F(7,1)

So, [tex]x_1=2, y_1=5, x_2=7, y_2=1[/tex]

Putting values in formula and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-5}{7-2}\\Slope=\frac{-4}{5}\\[/tex]

So, slope of EF is [tex]\mathbf{\frac{-4}{5}}[/tex]

Slope of GH

We have: G(2,-3) and F(-3,5)

So, [tex]x_1=2, y_1=-3, x_2=-3, y_2=5[/tex]

Putting values in formula and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{5-(-3)}{-8-2}\\Slope=\frac{5+3}{-10}\\Slope=\frac{8}{-10}\\Slope=\frac{-4}{5}[/tex]

So, slope of GH is [tex]\mathbf{\frac{-4}{5}}[/tex]

We have slope of EF : [tex]\mathbf{\frac{-4}{5}}[/tex] and slope of GH: [tex]\mathbf{\frac{-4}{5}}[/tex]

Both have same slope, so EF is parallel to GH i.e. EF || GH

This scatters plot and line of best fit show the relationship between the height and the mass of 15 different dog breeds. The circled point in the scatter plot corresponds to the Afghan Hound.

Answers

Answer:

A

Step-by-step explanation:

The mass of the Afghan Hound is exactly what is predicted by the line of best fit.

Answer:

a

Step-by-step explanation:

Which decimal is equivalent to
NI
OA) 0.416
B) 0.416
C) 0.416
OD) 0.416

Answers

Answer:

b

Step-by-step explanation:

6 is repeating

fillerfillerfilller

Help! Pls :(((((((((((

Answers

The answer is 22 because you replace the x with 5 and do 5x 5 - 3

Which of the following justifies if the quadrilateral below is a parallelogram?
A.sides are congruent
B.sides bisect
C.angels are congruent
D.diagonals bisect

Answers

Answer: d) diagonals bisect

i believe this is the right answer because the other ones aren't right.

Answer:

C. Angles are congruent

Step-by-step explanation:

#27: Three cities form a right triangle on a map. Cities B and C are the furthest
apart. If cities A and B are 14 miles apart and cities A and Care 22 miles about,
how far about are cities B and C? Round the nearest tenth.

Answers

Answer: 26.1miles

Step-by-step explanation:

f three cities A, B and C form a right triangle on a map, and the Cities B and C are the furthest apart, then the distance between cities B and C will be the hypotenuse of the triangle.

If cities A and B are 14 miles apart, then |AB| = 14miles

Also if cities A and C are 22 miles apart, then |AC| = 22miles.

To get |BC| which is the distance between cities B and C, we will use the Pythagoras theorem.

|BC|² = |AB|² + |AC|²

|BC|² = 14²+22²

|BC|² = 196+484

|BC|² = 680

|BC| = √680

|BC| = 26.1miles

This means that cities B and C are 26.1miles apart

Two electronics stores sell a video game that has a regular price of $49. A store discounts the video game by $15 and then adds 7.5% sales tax. Store B adds the tax first and then takes the discount. Are the selling prices the same? Justify your answer.

Answers

Answer:

The selling prices are same.

Step-by-step explanation:

According to the problem, given data are as follows:

Regular price = $49

Store A

Discounts first = $15

Price after discount = $49 - $15 = $34

Now adds 7.5% sales tax = $35 + ( $35 ×7.5%) = $35 + $2.625

So, final selling value = $37.625 or $38

Store B

Adds tax first = $49 + ($49 × 7.5%) = $49 + $3.675 = $52.675

Now deduct discount = $52.675 - $15

So, Final selling price = $37.675 or $38

As there is very minimal or no difference between both prices, so this considers to be same.

“The quotient of two integers is always
an integer"
This statement:
A
is true.
B
is false.
С
does not provide
enough information.

Answers

the correct answer would be c

Answer:

“The quotient of two integers is always an integer"

B. False

Step-by-step explanation:

Suppose, 3 and 7 are integers but it's quotient 3/7 is not a integer.

Expand and simplify. Show your work.
4(x + 4y) + 3(4x + y)

Answers

Answer:

16x+19y

Step-by-step explanation:

Distributive Property:

4x+16y+12x+3y

Simplify Like-Terms:

16x+19y

Answer:

16x + 19y

Step-by-step explanation:

4x + 16y + 12x + 3y

Hope this helps

A shadow 4 feet long is cast by a wooden barrel that is 3 feet tall. If a nearby stop sign is
6 feet tall, then how long will the stop sign's shadow be?

Answers

Answer:

4 ft shadow=3 ft tall

?(x)=6 ft

4×6=3x

24=3x

24/3=x

8=x

that's my answer I think

How should 23,050 be written using expanded form?​

Answers

Answer:

20,000 + 3,000 + 50

Step-by-step explanation:

twenty thousand three thousand fifty

hope this helps have a wonderful day! <3

Sarah colored 1/2 of some birthday cards, and Rana colored 3/8 of them. If there are 32 cards in all, how many are left to be colored?

Answers

Answer: 4 cards are left to be colored.

Step-by-step explanation:

As per given,

Fraction of total cards colored = [tex]\dfrac12+\dfrac38[/tex]

[tex]=\dfrac{4+3}{8}\\\\=\dfrac{7}{8}[/tex]

Fraction of cards left to be colored = [tex]1-\dfrac78=\dfrac18[/tex]

Total cards = 32

Number of cards to be colored = [tex]\dfrac18\times32=4[/tex]

Hence, 4 cards are left to be colored.

which elevation is lowest? a 100 meters b 2 meters c -20 d -3 meters.​

Answers

Hey there![tex]\bold{Follow\ this\ GUIDE\ to\ help\ you\downarrow}[/tex][tex]\bullet \ \bold{POSITIVES\ are\ ABOVE\ the\ number\ ZERO}\\ \bullet \ \bold{NEGATIVES\ are\ BELOW\ the\ number\ ZERO}\\ \\ \\ \\ \bold{Key\ points\downarrow} \\\rightarrow \bold{Positives\ are\ above\ 0}\\ \\ \rightarrow\bold{Negatives\ are\ below\ 0}}[/tex]“Which elevation is the LOWEST ?”[tex]\bold{A. 100\ meters}\\ \bold{B. 2\ meters}\\ \bold{C. -20\ meters}\\ \bold{D. -3\ meters}[/tex]❖ Remember when we said that NEGATIVES are  BELOW ZERO & POSITIVES are ABOVE ZERO? Well guess what? We could start doing PROCESS of ELIMINATION, to ANSWER your QUESTION❖ It CAN’T be [tex]\bold{Options\ A. \ \& \ Options \ B.}[/tex] because they are both [tex]\bold{POSITIVES\ \& \ ABOVE\ 0\ and\ HIGHER\ than\ 0}[/tex]❖ THIS LEADS TO [tex]\bold{Option\ C. \ \& \ Option\ D.}[/tex] as a  possible answer! [tex]\bullet \ \bold{-3 (Option\ D.)}[/tex] so we can remove that as a possible answerThis leads you [tex]\boxed{\boxed{\bold{Option\ C. -20 }}}\huge\checkmark[/tex] as your answer Good luck on your assignment and enjoy your day!~[tex]\frak{LoveYourselfFirst:)}[/tex]

Ayla has 104 stuffed animals in her room. The ratio of teddy bears to cats is 5 to 3. How many teddy bears does she have?

Answers

Answer:

65 teddy bears

Step-by-step explanation:

65:39

65+39=104

is a function or not

Answers

Answer:

that is indeed a function

Step-by-step explanation:

Yes it is a function

Solve: 0.05m + 3.95 = 20

Answers

Answer:

321

Step-by-step explanation:

0.05m + 3.95 = 20

0.05m = 16.05

m = 321

What is the volume of the cube below?

Answers

Answer:

B

Step-by-step explanation:

Answer:

x^3

Step-by-step explanation:

pls anwer,i really need help. ​

Answers

Answer:

for question A the answer is 15 and for next answer is 25. question B answesr: 2nd: 3, 4,5,6,7,8. 3rd: 6,9,12,15,18 4th: 10,16,22,28,34,40..... you should get the rest by now. :)

Step-by-step explanation:

for question A you add 2 every number such as. 1 to 3 is 2. then 3 to 6 is 3 then 6 to 10 is 4 so 2, 3,4. then you figure out the same with question a part 2. for B here is an example 2nd- 3,4,5,6,7---- ypu just add one then for 3rd you add 2 then 4th you add 3... and on

Matthew bought a suitcase marked down from $90 to $81. What is the discount percentage?

Answers

Answer:

10%

Step-by-step explanation:

Percent change= New-Old |Old|× 100% percent change=81-90 |90| × 100= -9 90×100=-10%

What is 20% of 300?*
Yourſanswer

Answers

60


because yeah and yeah

45 mi
X
36 mi
Find x

Answers

x:45 miles×36 miles x

Ratio in lowest terms:

x:x 36 miles 45 miles

Can someone help with this?

Answers

Answer: c

Step-by-step explanation:hope this helps

Solve the equation or inequality for the unknown number. Show your work.

2x - 8 > x + 9

Answers

Answer:

x = -1

Step-by-step explanation:

there u go

Answer:

x > 17

Step-by-step explanation:

2x - 8 > x + 9

take away x from both sides

x-8 > 9

add 8 to both sides

x>17

What is the value of the expression 2ƒ + 5 if ƒ = 3

Answers

Answer:

answer 11

Step-by-step explanation:

2f+5=

2×3+5=

6+5=

11

Answer:

The answer is 11

Step-by-step explanation:

You already know what is f which is 3 all you have to do is plug it in.

2(3)+5

6+5=11

Hurry 10 min left
Christine is saving money to buy a bike. She has 63 and is going to save an additional 9 each week. The bike costs 198 . In how many weeks will she have enough money to buy the bike?


Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 9,63, and 198 . Let w represent the number of weeks.

_w-_=_ or _w+_=_

(b) Solve the equation in part (a) to find the number of weeks.
_

Answers

Answer:

try adding them togther

Step-by-step explanation:

Answer: 9w+63=198

w=15

Step-by-step explanation:

198-63=135

135 divided by 9 would then equal 15

What is the missing angle measurement in the polygon shown below?

Answers

Answer:

155 degrees

Step-by-step explanation:

Every 4 angled shape will equal 360

45+130+30+x=360

205+x=360

155=360

Answer:

155

Step-by-step explanation:

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