what is the discriminant of the equation 2x^2-4x+1=0

Answer:

hope this helps you

Answer:

Using Piragorean Theorem:

[tex]x=\sqrt{7^2+10^2}=\sqrt{100+49}=\sqrt{149}[/tex]

Answer:

[tex]\sqrt{149[/tex]

Step-by-step explanation:

7² + 10² = 12.21²

49 + 100 = 149

Answer:

x = 3

y = -1

Step-by-step explanation:

→You can use the elimination method. To do this you must have either the x or y-values have the same value, but opposite signs. For this, we can choose y:

4x + 2y = 10

5x + 3y = 12

→Multiply (4x + 2y = 10) by -3, and (5x + 3y = 12) by 2:

-12x - 6y = -30

10x + 6y = 24

____________

-2x = -6

→Divide both sides by -2:

x = 3

→Plug in 3 for x into an equation:

4x + 2y = 10

4(3) + 2y = 10

12 + 2y = 10

2y = -2

y = -1

Answer:

x ≤ -7

Step-by-step explanation:

There is a filled in circle which means that it is either ≤ or ≥.

The graph is going to the left, which means it is ≤

The starting number is -7.

x ≤ -7

Answer:

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Step-by-step explanation:

The graph of y = sin(x) is a wave that keeps oscillating between -1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]

The graph of y = sin(x) is referred to as a periodic function because it repeats itself infinitely.

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Answer:

Step-by-step explanation:

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2

Adding and substracting 2x^2y^2

We get

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2

And we know a^2-2ab+b^2=(a-b)^2

So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2

Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2

And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2

Answer:

AC=22

AB=11

BC=33

Step-by-step explanation:

[tex]2(3x - 4) = 2x + 12 [/tex]

6x-8=2x+12

12+8=6x-2x

20=4x

x=5

∴AC=2(5)+12=22

∴AB=3(5)-4=11

∴BC=7(5)-2=33

Answer:

Step-by-step explanation:

This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr

i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.

I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.

Recall that

[tex]nCr=\frac{n!}{(r!)(n-r)!}[/tex]

Consider question a) we are given (5 1) or ₅C₁

we can see that n = 5 and r = 1

If we substitute this into the formula:

₅C₁ = (5!) / [ (1!)(5- 1)!]

= (5!) / [ (5- 1)!]

= (5!) / (4!)

= (5·4·3·2·1) / (4·3·2·1)

= 5

hence ₅C₁ = 5

Answer:

(a) 5

(b) 10

(c) 35

(d) 28

(e) 9

(f) 21

Step-by-step explanation:

[tex](\frac{n}{k} )=\frac{n!}{k!(n-k)!}[/tex]

(a)

[tex](\frac{5}{1} )=\frac{5!}{1!(5-1)!} \\\\(\frac{5}{1} )=\frac{5*4*3*2*1}{1*4!} \\\\(\frac{5}{1} )=\frac{120}{1*4*3*2*1} \\\\(\frac{5}{1} )=\frac{120}{24} \\\\(\frac{5}{1} )=5[/tex]

(b)

[tex](\frac{5}{3} )=\frac{5!}{3!(5-3)!} \\\\(\frac{5}{3} )=\frac{5*4*3*2*1}{3*2*1*2!} \\\\(\frac{5}{3} )=\frac{120}{3*2*1*2*1}\\\\(\frac{5}{3} )=\frac{120}{12} \\\\(\frac{5}{3} )=10[/tex]

(c)

[tex](\frac{7}{4} )=\frac{7!}{4!(7-4)!} \\\\(\frac{7}{4} )=\frac{7*6*5*4*3*2*1}{4*3*2*1*3!} \\\\(\frac{7}{4} )=\frac{5040}{4*3*2*1*3*2*1} \\\\(\frac{7}{4} )=\frac{5040}{144} \\\\(\frac{7}{4} )=35[/tex]

(d)

[tex](\frac{8}{2}) =\frac{8!}{2!(8-2)!} \\\\(\frac{8}{2}) =\frac{8*7*6*5*4*3*2*1}{2*1*6!} \\\\(\frac{8}{2}) =\frac{40320}{2*1*6*5*4*3*2*1}\\\\(\frac{8}{2}) =\frac{40320}{1440} \\\\(\frac{8}{2}) =28[/tex]

(e)

[tex](\frac{9}{8} )=\frac{9!}{8!(9-8)!} \\\\(\frac{9}{8} )=\frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1!} \\\\(\frac{9}{8} )=\frac{362880}{40320*1} \\\\(\frac{9}{8} )=\frac{362880}{40320} \\\\(\frac{9}{8} )=9[/tex]

(f)

[tex](\frac{10}{4} )=\frac{10!}{4!(10-4)!} \\\\(\frac{10}{4} )=\frac{10*9*8*7*6*5*4*3*2*1}{4*3*2*1*6!} \\\\(\frac{10}{4} )=\frac{3628800}{24*6*5*4*3*2*1} \\\\(\frac{10}{4} )=\frac{362880}{17280} \\\\(\frac{10}{4} )=21[/tex]

Answer:

553

Step-by-step explanation:

              5  5    3

     ---------------------

16  /  8   8   4    8

        8   0

      ---------------

              8   4

              8   0

             ----------------

                    4    8

                     4   8

                   -----------

                            0

The quotient is 553.

                     4   8

                    ----------

                           0

Answer:

40

Step-by-step explanation:

-10+50

40

Answer:

1.54 million

Step-by-step explanation:

If 45% of the population are males, then 55% are females. 55%=55/100=0.55. Multiplying this by the total population of the city, you can find that it has 0.55*2,800,00=1.54 million females. Hope this helps!

Answer:

the answer for this question is 1.54×10^6

Step-by-step explanation:

45%- Male

100%-45%=55%

55/100×(2.8×10^6)=1540000

=1.54×10^6

Answer:

R=6

Step-by-step explanation:

T+R+A=100

T=88 A=6 R=?

88+R+6=100

Move known numbers to other side

R=6

Answer:

[tex]g^{-1}(x)=-\frac{3}{2}(x+5)[/tex]

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

[tex]answer \\ 20 \: cm \\ solution \\ volume = 20000 \: {cm}^{3} \\ length = 40 \: cm \\ breadth = 25 \: cm \\ height = \\ now \\ v = l \times b \times h \\ \: \: \: \: \: \: or \: 20000 = 40 \times 25 \times h \\ or \: 20000 = 1000 \times h \\ or \: h = \frac{20000}{1000} \\ h = 20 \: cm \\ hope \: it \: helps[/tex]

Answer:

[tex]20cm[/tex]

Step-by-step explanation:

[tex]volume = length \times width \times height \\ 20000= 40 \times 25 \times h \\ 2000 0= 1000h \\ \frac{20000}{1000} = \frac{1000h}{1000} \\ h = 20[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x = -0.62 and x = 4.29

These values are approximations !

Step-by-step explanation:

You can not use Factoring to solve this equation. Perhaps you did not use the exact notation as in the original question?

Anyway, to solve it, you can still use the ABC formula.

3x²-11x-6=0

a = 3

b =-11

c = -6

x = [11 + √{121 -4(3 *-6)} ]/ 2*3

x = [11 + √{121 -4(-24)} ]/ 6

x = [11 + √{121 + 96} ]/ 6

x = [11 + √{217} ]/ 6

x = 4.29 This is an approximation !

x = [11 - √{121 -4(3 *-6)} ]/ 2*3

x = [11 - √{121 -4(-24)} ]/ 6

x = [11 - √{121 + 96} ]/ 6

x = [11 - √{217} ]/ 6

x = -0.62 This is an approximation !

extra: see the graph.

Answer:

ΔEFG is an isosceles triangle

Step-by-step explanation:

Answer:

labron james

Step-by-step explanation:labron james labron james labron james

Answer:7c

Step-by-step explanation:

idk.

Answer:

A.

Step-by-step explanation:

The sum of a number, x, and 4 just means x + 4.

If we take twice this sum, it implies that we take the resulting number and multiply it by 2.

Our resulting number is x + 4, so we are left with 2(x + 4).

I hope this helps!

The correct answer is twice the sum of a number and four.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, 2(x+4)

The sum of a number, x, and 4 just means x + 4.

Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.

The resulting number is x + 4, so it is 2(x + 4).

Hence, The correct answer is twice the sum of a number and four.

For more references on expression, click;

https://brainly.com/question/14083225

#SPJ2

Answer:

-6 =x

Step-by-step explanation:

g(x) = -3x -8

g(x) = 10

10 = -3x-8

Add 8 to each side

10+8 = -3x-8+8

18 = -3x

Divide by -3

18/-3 = -3x/-3

-6 =x

Answer:the answer is 2 it will take jasmine 3hrs to travel 135 miles

Step-by-step explanation:

Answer:

3v/h = b

Step-by-step explanation:

1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3

3 * v = (1/3 bh) * 3     --> 3v = bh

divde both sides by h and you get 3v over h = b

3v/h = b

Hope this helps!

Answer:  

3v/h = b

Step-by-step explanation:

v = 1/3bh

3v = bh

3v/h = b

Answer:

90

Step-by-step explanation:

My brother got that same question and he did it with his class

Answer:

46=-76.333(6×7)-÷45%€7*÷00.0001×6÷45+2

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

   [x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

   (x + 2)² + (y - 5)²- 29 + 20 = 30

   (x + 2)² + (y - 5)²- 9 = 30

   (x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

    Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

    Slope of the line joining this point to the center (-2, 5),

    [tex]m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          = [tex]\frac{10-5}{2+2}[/tex]

          = [tex]\frac{5}{4}[/tex]

    Let the slope of the tangent which is perpendicular to this line is '[tex]m_{2}[/tex]'

    Then by the property of perpendicular lines,

          [tex]m_{1}\times m_{2}=-1[/tex]

          [tex]\frac{5}{4}\times m_{2}=-1[/tex]

                 [tex]m_{2}=-\frac{4}{5}[/tex]

   Now the equation of the line passing though (2, 10) having slope [tex]m_{2}=-\frac{4}{5}[/tex]

           y - y' = [tex]m_{2}(x-x')[/tex]

           y - 10 = [tex]-\frac{4}{5}(x-2)[/tex]

           y - 10 = [tex]-\frac{4}{5}x+\frac{8}{5}[/tex]

                  y = [tex]-\frac{4}{5}x+\frac{8}{5}+10[/tex]

                  y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Therefore, equation of the line will be, y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Answer:

The skirt was originally 24 dollars

Step-by-step explanation:

3/4 ( b+s) = 31.50  

where b is the original price of the blouse and s is the original price of the skirt

b = 18

3/4 ( 18+s) = 31.50  

Multiply each side by 4/3

4/3 * 3/4 ( 18+s) = 31.50  *4/3

18+s =42

Subtract 18 from each side

18+s-18 = 42-18

s =24

The skirt was originally 24 dollars

Answer:

Answer choice 4

Step-by-step explanation:

4(5x+3y)

By distributive property, this can be rewritten as:

4(5x)+4(3y)=

20x+12y

or answer choice 4. Hope this helps!

Answer:

4) 20x+12y

Step-by-step explanation:

You have to use distivtive property

I hope this helps

Answer:

- 3a -16b

Step-by-step explanation:

Answer:

to make a number a percentage you have to multiply by 100%.Mmmh so you take the 6/4 and multiply it by 100%.Which will give you 150%. The percentage is higher than 100% because in the fraction 6/4 the numerator is higher than the denominator