Mathematics High School

For what values of m are there 2 different distinct real solutions? Give your answer as an inequality. X^2-2x+m.

I'm not sure, but I think the formula is b^2-4ac>0​

Answers

Answer 1

Answer:

m<1

Step-by-step explanation:

If the expression is in the form of [tex]ax^2+bx+c[/tex], then the condition for having 2 different real roots is

[tex]b^2-4ac>0\cdots(i)[/tex].

The given expression is [tex]x^2-2x+m[/tex].

Here, a=1, b=-2 and c=m.

So, by using equation (i),

[tex](-2)^2-4(1)(m)>0[/tex]

[tex]\Rightarrow 4-4m>0[/tex]

[tex]\Rightarrow 4m<4[/tex]

[tex]\Rightarrow m<4/4[/tex]

[tex]\Rightarrow m<1[/tex].

Hence, the condition for the expression [tex]x^2-2x+m[/tex] to have two different real roots is m<1.

Related Questions

Tony bought 255 1-inch nails and 5 boxes of 2-inch nails. Each box of 2-inch nails had equal amounts of nails in them. He bought a total of 620 nails. Find the number of nails in each box of 2-inch nails.

Answers

Answer:

73 nails

Step-by-step explanation:

Number of 1 inch = 255

Boxes of 2 - inch = 5

Each box of 2 _inch has equal amount of nails

Total number of nails = 620

Number of nails in each box of 2_inch nails:

Let Number of nails in each box = b

Number of 1_inch + 5 * number of 2_inch = 620

255 + 5b = 620

5b = 620 - 255

5b = 365

5b / 5 = 365 / 5

b = 73

Hence, there are 73 nails in each box of 2_inch nails

Write each equation in standard form.

Y - 4 = -3 (x - 3)

Y + 9 = 2(x + 5)

Answers

Answer:

y-4=-3(x-3)
y-4=-3x+9
y=-3x+9+4
y=-3x+13

y+9=2(x+5)
y+9=2x+10
y=2x+10-9
y=2x+1
I’m

x + 2x + 12y + 4 I don't know the answer can someone help me please

Answers

Answer:

The asnwer is 3x + 12y + 4

Answer:

I think you wrote it wrong but if not here

Step-by-step explanation:

Simplifying

2x + -12y = 4

Solving

2x + -12y = 4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12y' to each side of the equation.

2x + -12y + 12y = 4 + 12y

Combine like terms: -12y + 12y = 0

2x + 0 = 4 + 12y

2x = 4 + 12y

Divide each side by '2'.

x = 2 + 6y

Simplifying

x = 2 + 6y

Determime if the following lines are paraleel, perpendicular or neither.

Answers

They are perpendicular

Which two lines appear as if they will never intersect? Select all that apply.
a
b
c
d
e
f

Answers

C, and D. They’re parallel so they’re never going to cross.
C-D must be if not OOF but that’s what I got right

what is the equation for the given table​

Answers

Answer:

y = -3x +11

Step-by-step explanation:

notice how on the y column the values go down by three, meaning that the slope is -3

to find the y-intercept, look at the x column and find 0 and its corresponding y value

I’m really struggling would really appreciate if someone could help!!!!!

Answers

9514 1404 393

Answer:

  A)  29/40

Step-by-step explanation:

The formula for this is ...

  P(A or B) = P(A) + P(B) - P(A and B)

Filling in the given values, you have ...

  P(A or B) = 9/20 +1/2 - 9/40

  P(A or B) = 18/40 +20/40 -9/40 = (18+20-9)/40

  P(A or B) = 29/40 . . . . matches choice A

7(1 - x) = 10 – 6(x + 2)

Answers

Answer:

Step-by-step explanation:

x=9 i think.

The answer to your problem would be X=9 i hope this helps if not try 8

what is 31)775 please someone help me​

Answers

Answer:1/25 or 0.04

Step-by-step explanation: How I Got This Answer Was i did 77 divided by 31  and got 2 then brought down the 15 and then brought down the 5 to make 155 and the i did 155 divided by 31 and got 5  31 times 5 = 155 when you simplify the answer it comes up to 1/25.

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week?

Answers

Answer:

the first graph is the answer

Step-by-step explanation:

A!!!

Answer:

A

Step-by-step explanation:

-5 2/3 + 3 1/4 + -7 1/3

Answers

-9.5

I think I might be wrong

Ill give brainlist please i beg ulol

Answers

GHE i think because it’s the same degrees

Answer: 11 and 8 or 10 and 9

Step-by-step explanation:

sorry if I'm wrong but i'm trying

the value of y varies directly with x. when y = 7.5, x = 5. what is the value of y when x = 80?.

Answers

Answer:

Step-by-step explanation:

120 = y. the ratio is 3:2

80/2 is 40

40 times 3 is 120

120:80 = 3:2

Which quadrilaterals must have at least one pair of congruent sides? Check all that apply.
square
rectangle
parallelogram
rhombus
trapezoid
kite

Answers

Answer:

All of the following except a trapezoid

Step-by-step explanation:

I checked it

A square, rectangle, parallelogram, rhombus and kite have at least one pair of congruent sides.

Quadrilateral

A quadrilateral is a polygon that has four sides and four angles. A square, rhombus is a quadrilateral in which all sides are congruent.  A rectangle, parallelogram is a quadrilateral with opposite congruent sides.

A kite is a quadrilateral that has adjacent congruent sides.

A square, rectangle, parallelogram, rhombus and kite have at least one pair of congruent sides.

Find out more on Quadrilateral at: https://brainly.com/question/23935806

4 units right
hat are the
age?
11. Translate the figure 2 units left
and 4 units down. What are the
coordinates of the image?
22 REAS
trans
3 un
If so
A
y
23.
B
3
2
1
С
-4-3-2
3
4 x
D
2
-3
f
4

Answers

what? i don’t get what this says

Which equation or inequality represents the following description?

Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.

A. 8(2n) 76-12n
D. 8(2n)=76-12n

Answers

Answer:

D

Step-by-step explanation:

I’ve been working on the same problem for 1 hour and d just makes the most sense

HELP ME ASAP


Solve for x in the diagram below

Answers

Answer:

IM SORRY THIS ISNT HELPING BUT I LOVE THE NOAH NECK PFP LUEJEHE

Alaina went to Applebee’s for dinner with some friends. The bill came to $87.43 but one of her friends had a 12% off coupon. How much did they save with the coupon?

Answers

Answer:

They saved $10.49

Step-by-step explanation:

.12 X 87.43 = 10.4916

10.4916 rounded up is 10.49

given 2x +8y=16, find the x- and y- intercepts

Answers

Answer:

y-intercept: 2

x-intercept: 8

Step-by-step explanation:

I just graphed it into desmos. Wherever it crossed the axis, it's the answer.

Suppose 3 rooms cost $596 and 5 rooms cost $860. Write an equation that represents the total cost for the number of rooms.

Answers

(3 • 596 + 5 • 860) can be the equation :)

aflati termenul necunoscut din egalitatile de mai jos
a)x-2002=41535-1003 b)20+x-30=150-20;
c) x-(284-130)=110 d)853-(x + 1)=249;
e)613-(243-11-x)=549; f)312+11-(x+4)=323-(51+93

Answers

Answer:easy thats C

Step-by-step explanation:

enjoy

NEED HELP ASAP! Question in the photo.

Answers

Answer: they’re similar and triangle DEF has a dilation of 1/2
DEF has a dilation of 1/2.

how do you write 6.4 × 10^1 in standard form?

Answers

Answer:

64

Step-by-step explanation:

6.4 * 10^1

is the same as:

6.4 * 10

= 64

What is the answer to 2/9 divided by 1/2?

Answers

Answer:

the answer is going to be 2 /9 times the reciprocal of 1/2 so the answer is 4/9

Answer:

4/9

Step-by-step explanation:

2/9 / 1/2

= 2/9 x 2/1

= 2x2 / 9x1

=4/9x1

=4/9

1) Albert has $200 in the bank. He would like to save $50 every month to buy Christmas
gifts. Which equation can be used to find y, the amount Albert will save for x days?
y = 50x + 200
y = 50 + 200x
y = 250x
y = 200 + 250x

Answers

Answer:

y = 50x + 200

Step-by-step explanation:

He has $200 at the bank. He is then adding 50 per month (that's why its 50x).

which expression is equivalent to 5(8 + 9)? HELP ASAP

A. 40+45
B. 13+9
C. 13+14
D. 40+9​

Answers

The answer is A. 40+45 and here is the steps

The table of values shows the height of a car of a Ferris wheel as it travels in a circular motion.
Which statements are true?

Select each correct answer.
~ The car makes a complete revolution in 8 s.
~ The radius of the Ferris wheel is 26 m.
~ If the car is loaded at 0 s, then people are loaded at the lowest height of the Ferris wheel.
~ The maximum height of the Ferris wheel above ground is 40 m.

Answers

Answer:

bruh if your question is

"What is the maximum height of the Ferris wheel? "

its 80m

Step-by-step explanation:

ive looked for the question nd couldnt find it so i sarcificed my grade for yall, welcome

The values of the Ferris wheel.

The Ferris wheel is a ride that is fired by the upright rotating wheel and is able of carrying multiple passengers. The table shows us the value of the height of a car of the Ferris wheel and as it travels in a circular motion. The time and height of the second and meters are given.

Thus the answer is if the car is loaded at 0 s, then people are at the lowest part.

The wheel data shows that in 2 seconds the height of the wheel is about 26 meters and in 16 seconds the height of the wheel is about 6 meters. Thus the car is located at 0s and people are at the lowest height of the wheel.Hence the option C is correct.

Learn more about the height of a car.

brainly.com/question/21434433.

PLEASE HELP!!!!!!!!!!!!!!!

Answers

I’m not sure if I’m right but I would say ( C ) because it says “thousands of units” and I know income comes in wages ($)

radius=21 what is the cicumference​

Answers

2pir
42pi
131.9 is the circumference

Answer:

circumference = 2πr

                         [tex]= 2*\frac{22}{7}*21\\\\\\= \frac{44}{7}*21\\\\= \frac{924}{7}\\\\= 132[/tex]

Which property of equality could be used to solve -3x = 348? addition property A.subtraction property B.division property C.multiplication property

Answers

Answer:

Division property

Step-by-step explanation:

you would need to set up your equation. Then divide -3x by -3 to get x alone. then you do 348 divided by -3 to get your answer

-3x=348

-3= -3

x=-116

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