Find the discriminant of x 2 − 10 x + 3 = 0 .

Answers

Answer 1

Answer:

Two distinct real roots

Step-by-step explanation:

Rearrange terms in descending order: [tex]x^{2} -10x+3=0[/tex]

Find discriminant of quadratic equation through (b^2-4ac ): Δ[tex]=b^{2} -4ac[/tex]

Identify a,b,c througn coefficient: [tex]\left \{ {{A=1} \atop {B=-10}} \atop {{c=3}\right.[/tex]

Substitute the value of a,b,c and calculate discriminant: Δ=88

Determine number of solution through discriminant: two distinct real roots

Answer: two distinct real roots


Related Questions

Simplify the following expression:
3[(x^3– 7 x + 1) – (x+ 4)]

Answers

Answer:

15 - 9

Step-by-step explanation:

3[( 3x - 7x plus 1) - (x plus 4)]

3[(-4x plus 1) - x-4

3[-4x plus 1 -x-4

3[-4x-x plus 1-4]

3[fivex -3]

fifteen x - 9

help me please asap.

Answers

Answer:

8

Step-by-step explanation:

Answer:

what do you need to do?

Step-by-step explanation:

what is the Question

Determine the intercepts of the line.
Do not round your answers.
y - 3 = 5(x - 2)
Please help!!!

Answers

Answer:

the Y intercept is (0,-7) and the X intercept is (7/5,0)

Step-by-step explanation:

For Khan academy  

The y-intercept is -7 and the x-intercept is 7/5 if the equation of the line is y - 3 = 5(x - 2)

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have an equation of the straight line:

y - 3 = 5(x - 2)

For y-intercept:

Plug x = 0

y - 3 = 5(0 - 2)

y = -7

For x-intercept:

Plug y = 0

0 - 3 = 5(x - 2)

x = 7/5

Thus, the y-intercept is -7 and the x-intercept is 7/5 if the equation of the line is y - 3 = 5(x - 2)

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ5

Vanessa has 7 pieces of pizza and she wants to split them evenly between herself and 4 friends. How much will each person receive?​

Answers

Answer:

each person would get about 1 4/10 slices

WILL MARK BEST ANSWER BRAINLIEST


Miranda compared the function f (x) = 1/4x + 5 to the linear function, g(x), shown in the table.

table:

X G(X)

-9 -10
-6 -8
-3 -6
0 -4

What is the slope of the function with the larger slope?

A: 5/1

B: 1/4

C: 3/2

D: 2/3

Answers

The answer above is correct, i got it right on the test!

Find the perimeter P of ▱JKLM with vertices J(0,1), K(3,4), L(8,4), and M(5,1). Round your answer to the nearest tenth, if necessary. Please help, got to get this done.

Answers

Adding the distances between two consecutive vertices, the perimeter of JKLM is of [tex]10 + 6\sqrt{2}[/tex] units.

The perimeter of JKLM is the sum of the distances between all consecutive vertices.

Given two points, [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the distance between them is of:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

The perimeter is the sum of these following distances: JK, KL, LM and MJ.

Distance JK:

[tex]D = \sqrt{(3 - 0)^2 + (4 - 1)^2} = \sqrt{18} = 3\sqrt{2}[/tex]

Distance KL:

[tex]D = \sqrt{(8 - 3)^2 + (4 - 4)^2} = \sqrt{25} = 5[/tex]

Distance LM:

[tex]D = \sqrt{(5 - 8)^2 + (1 - 4)^2} = \sqrt{18} = 3\sqrt{2}[/tex]

Distance MJ:

[tex]D = \sqrt{(5 - 0)^2 + (1 - 1)^2} = \sqrt{25} = 5[/tex]

Thus, the perimeter, in units, is of:

[tex]P = 2(5 + 3\sqrt{2}) = 10 + 6\sqrt{2}[/tex]

A similar problem is given at https://brainly.com/question/20666716

PLEASE HELP! 100 POINTS!!

don't answer nonsense po​

Answers

Let 1000=1(scale for y axis)

Co-ordinates are

(1,1.340)(2,2.180)(3,2.530)(4,2.360)(5,1.700)(6,5.40)

#A

Graph attached

#B

Day 3

#C

Number of tests

A forest covers 54,000 acres. A survey finds that 0.4​% of the forest is​ old-growth trees. How many acres of​ old-growth trees are​ there?

Answers

Answer:

216 acres

Step-by-step explanation:

54,000 x 0.4% = 216

PLEASE HELP ILL GIVE BRIANALIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

22[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Answer:

22 remainder 4

Step-by-step explanation:

it is asking for just the remainder so put 4

Decrease 12kg by 25%

Answers

Answer:

9kg

Step-by-step explanation:

100% = 12kg

75% =

75/100 × 12 = 9

5/6x10 tyyyyyyyyyyyyyyyyyyyyyy

Answers

Answer:

8 1/3

i think it is

Answer:

25/3 or 8 1/3

Step-by-step explanation:

5/6 x 10

5/6 x 10/1

5/3 x 5/1 cancel 6 and 10 by 2

25/3 multiply 5x5 (numerators) 3x1 (denominator)

25/3 or 8 1/3

[tex]f(x)=12(0.71)x[/tex]

Answers

Answer:

f (x) =8.52x

or

x=0

Step-by-step explanation:

f(x)=8.25x
or x =0

hope this helps

Need help ASAP 50 points ?!!!

Answers

3•9+6 =33 I’m pretty sure
it is 33 because you would put 9 in the variable for x and solve

Lines a, b, c, d, and e are distinct lines in
the same plane. Decide if lines a and e
are parallel, perpendicular, or if there is not
enough information given.
alb, b || c, cid, die
A. parallel
B. perpendicular
C. not enough information

Answers

Answer: Pretty sure it is perpendicular.

Step-by-step explanation:

If B is perpendicular to A and B and C are parallel, that means C is also perpendicular to A. Since D is perpendicular to C, it is parallel to A. E is perpendicular to D, so it goes back to perpendicular to A.

determine the interprets of the line khan academy

Answers

the y intercept is (0,-45) and the x intercept is (-10,0)

Are the following triangles similar by the angle-angle similarity theorem? will make you BRAINLIEST


a) No the triangles don't have three angles

b) No the triangles don't share two pairs of congruent angles

c) yes one of the triangles is smaller than the other

d) Yes two pairs of congruent angles are marked.

Answers

Answer:

The answer is c i think

Step-by-step explanation:

they arent congruent pairs and they all have angles

How many solutions does the system of equations x − y = 7 and y equals the square root of the quantity 3 times x plus 3 end quantity minus 2 have?

Answers

9514 1404 393

Answer:

  one solution (11, 4)

Step-by-step explanation:

Both equations describe curves with positive slope. The y-intercept of the line (-7) is less than that of the root function (-2), so the line must intersect the root function in exactly one place. There is one solution.

__

Solved in the conventional way, the equation would become a quadratic, with two solutions. One of them is extraneous. (That is why I prefer a graphical solution.)

Given ...

  x -y = 7

  y = √(3x +3) -2

We can substitute for y to get ...

  x -7 = √(3x +3) -2

  x -5 = √(3x +3)

  x^2 -10x +25 = 3x +3 . . . . . . square both sides

  x^2 -13x +22 = 0 = (x -11)(x -2) . . . . . gives solutions x=11, x=2

The value x=2 does not satisfy the equation ...

  x -7 = √(3x +3) -2   ⇒   2 -7 = √(3·2 +3) -2   ⇒   -5 = 1 (false)

For the figure shown on the right, find the value of the variable and the measures of the angles.

Answers

Step-by-step explanation:

x-7+3x+12+x = 180

5x+5=180

5x=175

x = 35°

m L P = x-7 = 35-7 = 28°

m L Q = 3x+12 = 3(35)+12 = 105+12 = 117°

m L R = x = 35°

6x – 2 + 2x = 2(4x – 3) + 4.

Answers

Answer:

x = 0

Step-by-step explanation:

6x – 2 + 2x = 2(4x – 3) + 4

Collect like terms.

8x - 2 = 8x - 6 + 4

8x - 2 = 8x - 2

8x = 8x + 0

0x = 0

x = 0

Answer:

0=0

Step-by-step explanation:

1. Combine Like Terms

6−2+2=2(4−3)+4

8x-2=2(4x-3)+4

2. Distribute

8x-2=2(4x-3)+4

8x-2=8x-6+4

3. Add the Numbers

8x-2=8x-6+4

8x-2+8x-2

4. Add 2 to both sides of the equation

8x-2=8x-2

8x-2+2=8x-2+2

5. Simplify

8−2+2=2(4−3)+4

8x=8x-2+2

8x=8x-2+2

8x=8x

6. Subtract 8x from both sides of the equation

8x-8x = 8x-8x

Answer= 0=0

(I will give brainiest for BEST answer) Why is a negative integer time a negative integer positive?

Answers

Answer:

We know that negative times anything means that it will change the sign. Ideally, the second negative should change the sign of our original number (which is also negative). So, our original negative sign is changed into a positive sign when a negative is multiplied to it.

Step-by-step explanation:

Give Brainliest

solveeee for x !!!!!!!

Answers

I think the answer is X=-9
Giving this a shot to see if I’m correct. If not, I apologize (just trying to help).

Since JM = 4x - 29
and JK + KL + LM = JK

Where JK = 6
KL = 13
LM = 2x - 18

Plug the given values for each segment:

JK + KL + LM = JK
6 + 13 + 2x - 18 = 4x - 29

Add 29 to both sides:

6 + 13 + 2x - 18 + 29 = 4x - 29 + 29
6 + 13 + 2x - 18 + 29 = 4x

Subtract 2x from both sides:

6 + 13 + 2x - 18 + 29 - 2x = 4x - 2x

6 + 13 - 18 + 29 = 2x

Combine like terms:
19 - 18 + 29 = 2x
30 = 2x

Divide both sides by 2 to solve for x:
30/2 = 2x/2

15 = x

Double-check whether the value of x provides a true statement, by plugging its value into the equation:

JK + KL + LM = JK
6 + 13 + 2(15) - 18 = 4(15) - 29
19 + 30 - 18 = 60 - 29
31 = 31 (True statement).

Therefore, x = 15.

Please mark my answers as the Brainliest if you find this helpful :)

6 + 1 2/3 in fraction

Answers

Answer:

[tex]\frac{23}{3}[/tex] or [tex]7\frac{2}{3}[/tex]

solution:

[tex]6[/tex] + [tex]1\frac{2}{3}[/tex]

[tex]\frac{6}{1}[/tex] + [tex]\frac{5}{3}[/tex]

[tex]\frac{6}{1}[/tex] × [tex]\frac{3}{3}[/tex] [tex]= \frac{18}{3}[/tex]

[tex]\frac{18}{3}[/tex] + [tex]\frac{5}{3}[/tex] [tex]= \frac{23}{3}[/tex]

[tex]\frac{23}{3}[/tex][tex]= 7\frac{2}{3}[/tex]

7 2/3 is the simplest form of 23/3

I need help with my delta math

Answers

Answer:

Definitely not a function if I am certain

The graph represents a function.

A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).

Remember that a function can only take on one output for each input.

The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

To use the vertical-line test, imagine dragging a ruler held vertically across the
graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value.

Attached is a screenshot of your given graph where I did the Vertical Line Test. It shows that each vertical line crosses the graph only once (marked by the red dots on the each line)

Therefore, the graph represents a function.

Please mark my answers as the Brainliest if you find my explanations helpful :)

List the multiples of 6 through 100

Answers

6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96

What is the slope-intercept equation
for the following line?

Answers

The Answer: y = 2x + 7

Calculate the slope (50,10) (77,25)

Answers

Answer:

15/27

Step-by-step explanation:

We re-order the coords and then take the x values and subtract, and do the same with the y values to get the change Then using the slope formula, which is rise over run, or in other words

ΔY/ΔX.

77-50=27 X change

25-10=15 Y change

then we divide the y change over the x change

15/27

and that is the slope.

Answer:

The slope is [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Using the slope formula ([tex]\frac{y2 - y1}{x2-x1}\\[/tex]),

[tex]\frac{25-10}{77-50}[/tex]

= 15/27

= 5/9

= 0.56

Hence, the slope is 0.56 or [tex]\frac{5}{9}[/tex]

Feel free to mark this as brainliest! :D

Activity: Griling with Foil

Given below are expressions in factored form in which both factors are binomials. Follow the process in multiplying the binomials using FOIL method and answer the questions that follow. Write your answer on your answer sheet.

1. (x + 1)(x + 2) = x2 + 2x + x + 2
= x2 + 3x + 2

2. (x-2)(x-3) =x2 – 3x - 2x + 6
= x2 - 5x + 6

3. (x + 3)(x-4) = x2 - 4x + 3x - 12
= x² - x - 12 ​

Answers

45780918838182888380183727372

Find Square Root of the Following
49

Find the negative Square root of 16​

Answers

Answer:

square root of 49 = √49 = 7

the negative square root of 16 = √16= -4

Step-by-step explanation:

hope it's helpful to you ☺️

Answer:

Square root of 49 is 7

negative square root of 16 is -4

2. Estimate the slope of the graph at x = 1

Answers

Answer:

Since  

x = 1

 is a vertical line, the slope is undefined.

Step-by-step explanation:

Undefined

plz fill this out. in trying to pass. will give best answer​

Answers

Answer:

AB/ZX and CB/YX and AC/ZY

Step-by-step explanation:

Hope this helps :)

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