Use the discriminant formula to find the number of x-intercepts in the graph of the equation.

x2 – 3x + 2 =y

b2 - 4ac

Answers

Answer 1

Answer:

  2

Step-by-step explanation:

The values of a, b, c are ...

  a = 1, b = -3, c = 2

Then the discriminant is ...

  d = b^2 -4ac

  d = (-3)^2 -4(1)(2) = 9 -8 = 1

The discriminant is positive, so there are two x-intercepts.

_____

Additional comment

The indications given by the discriminant are ...

  d > 0, 2 real roots (2 x-intercepts)

  d = 0, 1 real root (1 x-intercept)

  d < 0, 2 complex roots (0 x-intercepts)


Related Questions

5(3x + 1) = 20 + 15(x - 1

Answers

Answer:

Step-by-step explanation:

hope this help

Subtract: 3/4y-(1/2y+1/3)

Answers

ujyumruyrunhngyun76m7

An airplane starts to descend from an altitude over 30,000 feet at what rate is the airplane descending?

Answers

Answer:

20,000 feet

Step-by-step explanation:

Based on the initial altitude and the rate that the plane is descending, the relevant equation is = 30,000 - 2,000x. The altitude after 5 minutes is 20,000 feet above sea level.

The plane begins at 30,000 feet above ground and is descending at 2,000 feet per minute. The relevant equation after x minutes is:

= Initial altitude - (Descent in feet per minute x Number of minutes)

Plugging in the values gives:

= 30,000 - (2,000 × x)

= 30,000 - 2,000x

creds to Parrain

watch it and tell me what u think

Answers

Theres nothing to watch loll

Please help with my portfolio question. I have to select the slope per equation

Answers

Try this option, all the details are in the attachment.

Answer:

like 1 - y=-5x + 10

line 2 - y=2x + 4

line 3 - y=4x + 3

line 4 - y=8

Step-by-step explanation:

y = mx + b means y equals the slope times x, plus the y intercept, in this case they all had different y intercepts so you just had to look and where the line touches the y axis

The volume of a cuboid is 32cm^2 Two of the lengths are 4cm and 2cm, what is the missing length?

Please explain your answer

Answers

Answer:

4 cm

Step-by-step explanation:

to find the volume you multiply the lengths of all three sides together:

let 'm' = missing side

32 = 4·2·m

32 = 8m

m = 4

If you mean that the volume is 32 cm^3, then the missing length is 4 cm.

The volume of a cuboid is length * width * height.

Setting up the equation would be: 32=l(2)(4) and solving for l would equal 4 cm.

Find the discount for a stereo that is on sale for 12% off. The
original price is $200.00.

Answers

Answer:

$176

Step-by-step explanation:

$200 x 12%

12% --> 0.12

200 x 0.12 = 24 --> discounted off amount

200 - 24 = 176

Frederick works in a grocery store and also mows lawns . He earns $ 10 per hour at the grocery store and $ 8.50 per hour mowing lawns . He worked a total of 35 hours last week , of which he spent x hours mowing lawns . Which is the simplified equation that represents the relationship between his earnings , y , in dollars and the number hours he spent working last week?

Answers

Answer:

just multiply 35 by x and then 10 by however many lawns he mowed (if that makes sense)

Step-by-step explanation:

Find the domain of the rational expression:
6x2 - 13x - 5/
x+7

Answers

Answer:

Domain (value of x) is any real value except x=13orx=−25

Explanation:

Domain is the value of x in the function. Here the denomintor must not be zero. 6x2+13x−5≠0or6x2+15x−2x−5≠0or3x(2x+5)−1(2x+5)≠0or(3x−1)(2x+5)≠0orx≠13andx≠−52∴Domain (value of x) is any real value except x=13orx=−25 [Ans]

mark me brainliest plss

Domain (value of x) is any real value except x=13 or x=−25

The domain is the value of x in the function.

Here the denominator must not be zero.

What is the domain?

The domain of a function is the set of inputs accepted by the function.

6x^2+13x−5≠0

or 6x^2+15x−2x−5≠0

or   3x(2x+5)−1(2x+5)≠0

or  (3x−1)(2x+5)≠0

or   x≠13  and   x≠−52

Domain (value of x) is any real value except x=13 or x=−25.

To learn more about the domain visit:

https://brainly.com/question/26098895

#SPJ2

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

x = 0 , -2 , 1 +i√3  ; 1 - i√3

Step-by-step explanation:

2x⁴ + 16x = 0

2x(x³ + 8) = 0

2x(x³ + 2³)  = 0

2x (x + 2)(x² -2x + 2²) = 0    {a³ + b³ = (a + b)*(a² -ab +b²}

2x = 0  

x = 0

x + 2 = 0

x = -2

x² - 2x + 4 = 0

a = 1 ; b = -2 and c = 4

D = b² - 4ac = (-2)² - 4*1*4= 4 - 16 = -12

[tex]\sqrt{D} = \sqrt{-12}=\sqrt{2*2*3i^{2}}=2i\sqrt{3}[/tex]

root = (-b ± √D)/2a

= (-(-2) ± 2i√3)/2*1

= (2 ± 2i√2)/2

[tex]= \dfrac{2(1 + i\sqrt{3})}{2} \ ; \dfrac{2(1+i\sqrt{3})}{2}\\\\\\= 1 + i\sqrt{3} \ ; \ 1 - i\sqrt{3}[/tex]

For the function f(x)=−8x2+6x−6, find f(−1)

Answers

Answer:

Step-by-step explanation:

f(x) = -8x² + 6x - 6

f(-1) = -8(-1)² + 6(-1) - 6

f(-1) = -8(1) + 6(-1) - 6

f(-1) = -8 - 6 - 6

f(-1) = - 20

Consider the triangle.
31.5°
90°
Find the measure of the unknown third angle.


HELP ME PLEASE ASAP !!!

Answers

Answer:

58.5

Step-by-step explanation:

since a triangle consists 180 degrees, 180-90-31.5 would equal 58.5

Answer:

58.5°

Step-by-step explanation:

every triangle has 180°

Determine whether the following statement is true or false.
If the base of a logarithm is not written, it is assumed to be 2. *
...
Choose the correct answer below.
O A. The statement is false because if the base of a logarithm is not written, it is assumed to be 1.
OB. The statement is true because if the base of a logarithm is not written, it is assumed to be 2.
O C. The statement is false because if the base of a logarithm is not written, it is assumed to be 10.
OD. The statement is false because if the base of a logarithm is not written, it is assumed to be e.

Answers

Answer:

D, but careful on conventions

Step-by-step explanation:

Honestly, it's a matter of conventions. Either C or D, then it's a matter on what whoever wrote the book likes and how he got taught. For example, for me, [tex]log_{10} x = Log x =[/tex], please note the capital L, and [tex]log_e x = ln x[/tex], in order to avoid any confusion - if someone has a terrible handwriting and their capital and small Ls look too similar.

There are 6 roses in a vase of flowers. The rest are daisies. (a) What is the ratio of all flowers 15 in the vase to daisies? (b) What is the ratio of roses to daisies?

Answers

Answer:

(a) No. of daisies=15-6

                      =9

Flowers:Daisies

         15:9

(b) Roses:Daisies

             6:9

             2:3

#roses_are_rosie:))

Answer:

a) 15 : 9

b) 2 : 3

Step-by-step explanation:

Total flowers: 15

Roses: 6

Daisies: 15 - 6

= 9

a) Ratio of all flowers to daisies:

> 15 : 9

b) Ratio of roses to daisies:

> 6 : 9

> 2 : 3 (simplified)

which equation has a solution of s=3/4

Answers

Answer:

0.75

The answer for That is 0.75

i'll mark brainliest thanks in advance ·​

Answers

Answer:

a.8

Step-by-step explanation:

PLEASE HELP ME WITH THE QUESTION IN THE PHOTOOOO

here are the options ( I couldnt get both the number lines and options in)
1. -3k ≥ 6
2. 1 > q/2 (i dont know if thats dividing or a fraction but its above each other not like that)
3. 3 > r+5
4. r/5 > 0.4 (same as #2 its stacked and i dont know which one it wants me to do)
5. 4m ≥ -8

PLEASE HELP IM SORRY IF THIS IS CONFUSING BUT IF YOU DONT KNOW IT PLS COMMENT NOT ANSWER I WILL ANSWER AS FAST AS I CAN ALSO THE NUMBERS GO WITH IT SO LIKE #1 WOULD BE WITH #3 NUMBER PLS HELP

Answers

1. x ≥ -2
2. x ≤ -2
3. x > 2
4. x < 2
5. x < -2

explanation: 5head

Answer:

Step-by-step explanation:

1)     - 3k ≥ 6

- 3(-⅓)k ≤ 6(-⅓)

          k ≤ -2                chart 2

2)  1 > q/2

1(2) > q/2(2)

 2 > q

 q < 2            chart 4    

3)    3 > r + 5

3 - 5 > r + 5 - 5

    -2 > r

     r < -2           chart 5

4)  r/5 > 0.4

(5)r/5 > 0.4(5)

       r > 2             chart 3

5)    4m ≥ -8

( ¼)4m ≥ -8( ¼)

        m ≥ -2           chart 1

со 7 және 5 12 4) 11 18 және 7 161. 1) 20 12; 7) 8 15 5 және 12 1 11 1 30 . және 5) 2) 24 және 12 via g 8) 7 30 1 және 12 1 3 және 3) 16 12 6) 4. 21 13 және 28​

Answers

Wha-

I don’t understand

choose the inequality that represents the following graph

​Help plz

Answers

Answer:

D

Step-by-step explanation:

Remember:

close circle means greater than or equal to

open circle means greater than

Therefore

x [tex]\geq[/tex] -4

Chris hates math. It takes Chris 8 minutes to complete a word problem, and 5 minutes to answer a graphing question. Every night, Chris has 2 hours to spend on math homework. a. Write an equation with the number of word problems x (for eXhausting) and the number of graphing questions y (for yuck, or whyyyy) to represent how many problems of each type Chris can complete in one night.

Answers

8W+5G= 120

If needed, in my work I included constraints for the variables

(-2b+4)(6b^2-4b+2) multiplying

Answers

Answer:

[tex]( - 2b + 4)(6 {b}^{2} - 4b + 2) \\ \\ = - 12 {b}^{3} + 8 {b}^{2} - 4b + 24 {b}^{2} - 16b + 8 \\ \\ = - 12 {b}^{3} + 32 {b}^{2} - 20b + 8[/tex]

I hope I helped you^_^

Answer:

-12b^3 + 8b^2 - 4b + 24b^2 - 16b + 8

Hope this helps! Sorry I couldn't explain though :(

A. Read the following orally:
1) 35 094
2) 761 169 102
3) 3059 117 718
4) 75.6
5) P 1 450.90

Answers

Answer:

ok

Step-by-step explanation:

1) 35 094

2) 761 169 102

3) 3059 117 718

4) 75.6

5) P 1 450.90

how to find 75% of 156

Answers

Divide the percent by 100 to get a decimal number:

75% / 109 = 0.75

Now multiply:

156 x 0.75 = 117

75 % 0f 156 = 117

1.25 is closer to 1.04 or not ?
plz heelp

Answers

Answer:

Yes it is

Explanation:

If you check the number line youll see

I need help please!!!!

Answers

Step-by-step explanation:

tan theta = opp/adj = 16/6

theta = tan inverse of (16/6)

theta = ans

ans = a

If a line has the x-intercept of (4,0) and no y-intercept, what is the Slope-intercept form equation ? Please !!

Answers

Answer:

y=mx+c

0=m(4)+c

c=4m

positive slope

40 soccer players are attending an event. 27 are currently in line. The rest are patiently waiting to be called to the buffet line. What percent of the players are waiting?

Answers

Answer:

13%

Step-by-step explanation:

I really don’t know if it’s right

Find the binomial that completes the factorization
t^3-u^3=( )(t^3+tu+u^3)

A. t-u
B. t+u
C. t^2
D. u^2

Answers

Answer:

I think its t+u

don't take my word for it preciate the points

Step-by-step explanation:

Hi gm i need help pls
50 pts

Answers

Answer:

y = 3x

Step-by-step explanation:

Rise over Run

3 over 1

or 3

Hope this helps!

Tìm tất cả các căn bậc bốn của −16.

Answers

16 the answer 16 ok stop petting me
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