Write 1= 2x2 + 5x In standard form.

What is the value of b^2 - 4ac?

Answers

Answer 1

Answer:

2x^2+5x-1=0

ax^-bx+c=0

b^2-4ac = 5^2-4(2)(-1) =33


Related Questions

The two cones below are similar. What is the value of x?

Cone 1
Height = 10
Radius = 3

Cone 2
Height = 3
Radius = x

A. 0.3
B. 0.9
C. 0.09
D. 0.18

Answers

Answer:

If they are similar, the ratio of 10/3 should be the same as the 3/x

then solve

10/3 = 3/x

cross multiply

10x=8

x = 9/10

so C. is the right answer

The missing value in the smaller cone is 0.9 units.

What is similarity?

Similarity in math is a concept that relates to the shape and size of figures. Two figures are similar if they have the same shape, but not necessarily the same size.

Given that, two similar cones, we need to find the value of x in the smaller cone,

Since, the cones are similar, then according to the definition of similarity,

we know that the dimensions will be in equal proportion,

Let the dimensions of the big cone be H (height) and R (radius) and that of smaller cone be h (height) and r (radius)

So,

H / R = h / r

10 / 3 = 3 / x

x = 9/10

x = 0.9

Hence, the missing value in the smaller cone is 0.9 units.

Learn more about similarity, click;

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Please help
Solve for x

Answers

X= 15 but I’m not sure

Answer:

X=15 since it the same

Step-by-step explanation:

X is simply equal to 15 because it an equilateral triangle


HELPPPPPPPPPPPPPPPPP PLZ

Answers

Answer:

GH = 8.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan J = opp side / adj side

tan J = HG / HJ

tan 40 = GH / 10

10 tan 40 = GH

8.39099=GH

Rounding to the nearest tenth

GH = 8.4

Select all the points that are on the graph of the line y = −1/4 x + 3.
a. (0, -1/4)
b. (0, 3)
c. (1, 11/4)
d. (1, 3)
e. (1, 13/4)
f. (3, 0)

Answers

The points on the graph ( b , c )

I hope I helped you ^_^

please help asap, see attached photo. This is due in 1 hour!!! please answer both questions. Both 5 and 6

Answers

Answer:

A and C

Step-by-step explanation:

5) logx+log(x+9)=2

log(x(x+9))=2, log(x^2+9x)=2

6) log(x^2+9x)=2

(x^2+9x)=36 or 6^2

Can anyone help me with this question

Answers

Answer:

60

Step-by-step explanation:

A significant figure means the most important (biggest) number.

As it just wants 1 significant figure, you count 1 to the right and round the 6 up.

Hope this helps :)

For a line that contains the point (3, 4) and has a slope of 4, please name another point on this line. Show the work you did to find this answer.

Answers

Answer:

y = 4x - 8

Step-by-step explanation:

y = 4x + b

4 = 4(3) + b

4 = 12 + b

-8 = b

which is the graph of g(x) = sqrt x-16

Answers

Answer:

Step-by-step explanation:

I am not sure if you are asking for the graph of

√(x-16) that has a x intercept at (16,0)

or

√ x -16 that has a y intercept at (0, -16)

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

19 degrees

Explanation:

The tangent ratio is opposite/adjacent. To find the angle however you need to take the inverse so the answer will be tan^-1(17/50).

One model of Earth's population growth is P(t)= 64/(1+11e^0.8t)
where t is
measured in years since 1990, and P is measured in years since 1990, and Pis measured in billions of people. Which of the following statements are true? Check all that apply.

Answers

Answer: C and D

Step-by-step explanation:

Using the logistic equation, it is found that options C and D are correct.

The logistic equation for population growth is given by:

[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]

[tex]A = \frac{K - P(0)}{P(0)}[/tex]

In which:  

K is the carrying capacity. P(0) is the initial value. k is the growth rate, as a decimal. The population grows exponentially for a while, but as it gets closer to the carrying capacity, the growth slows down.

For this problem, the equation is:

[tex]P(t) = \frac{64}{1 + 11e^{-0.08t}}[/tex]

Which means that:

The carrying capacity is of 64 billion people, as [tex]K = 64[/tex].The growth rate is of 8% per year, but it is not steady.The initial population, in millions of people, is of [tex]P(0) = \frac{64}{1 + 11} = 5.3[/tex].

Hence, options C and D are correct.

To learn more about the logistic equation, you can check https://brainly.com/question/25697660

The quotient of five less than a number and six, is -4

Answers

Answer:

(a-5) / 6 = -4

or

-19

Step-by-step explanation:

(a-5) / 6 = -4

multiply by 6

a - 5 = -24

+5       +5

a = -19

What is the quotient? t +3 t +4 f+7t+12) 0 (t + 3)2 (t+4)2 1 (t-4) 1 (t + 3)?​

Answers

Answer:

1

-----

(t+4)^2

Step-by-step explanation:

(t+3)

------- ÷ (t^2+7t+12)

(t+4)

Copy dot flip

(t+3)         1

------- * --------------------

(t+4)      (t^2+7t+12)

Factor

(t+3)         1

------- * --------------------

(t+4)      (t+4)(t+3)

Cancel

1         1

------- * --------------------

(t+4)      (t+4)

1

-----

(t+4)^2

Answer:

answer is b

Step-by-step explanation:

exponential form of (30 + 20) x 50

Answers

Answer:

50^(2)

Step-by-step explanation:

(30+20)*50=50*50=50^(2)

monica has $340 in the bank and plans to save $10 per week. is this linear or exponential?

Answers

Answer:

linear. Each week adds another 10 dollars.

Step-by-step explanation:

Total = 340 +  10*w

w is the weekly amount

Suppose 5 weeks pass

Then the total amount in her bank account is

Total = 340 + 10*5

Total = 340 + 50

Total = 390

The equation is Linear.

Can someone help please

Answers

Answer:

[tex]10^{-3}[/tex]

Step-by-step explanation:

Answer:

https://tex.z-dn.net/?f=10%5E%7B-3%7D

Step-by-step explanation:

b)
Four students represented the same pattern with the following equations:

Simon C = 4n + 1
Shania C = 3n + 4 + n-3
Tate C = (6n + 1) + (-2n)
Navdeep C = 2(2n + 3) -5
Use algebra skills to determine which of these four equations are equivalent. Show your work.

Answers

Simon

C = 4n + 1

Shania

C = 3n + 4 + n -3

C = 4n + 1

Tate

C = (6n + 1) + (-2n)

C = 6n + 1 - 2n

C = 4n + 1

Navdeep

C = 2(2n + 3) -5

C = 4n + 6 - 5

C = 4n + 1

Therefore all of them are equivalent.

Answered by Gauthmath must click thanks and mark brainliest

Select all the expressions that represent the difference of the length to width ratios for rectangle A and rectangle B, where W is the width of rectangle A.

Answers

Answer:

w+5/w - w+1/2w

w+9/2w

Step-by-step explanation:

Answer:

A&D are corect

Step-by-step explanation:

combine like terms

Please hurry I will mark you brainliest

Question’s Picture included*

Answers

Answer:

when you have 32 pennies the total mass will be 185

ASAP!! I'll mark you as BRAINLIEST Please help me out here I would really appreciate <3​

Answers

Answer:

d) 16, 19, 14 + x

e) x + 20, 30, 33, 15, y - 20, x+x+20=60 and James would be 20.

f) 13

g) 120

Step-by-step explanation:

D.

(1) 14 + 2 = 16

(2) 14 + 5 = 19

(3) 14 + x

E.

(1) x + 20

(2) 10 + 20 = 30

(3) 13 + 20 = 33

(4) 35 - 20 = 15

(5) y - 20

(6) x + (x + 20) = 60 | 2x + 20 = 60 | 2x = 40 | x = 20

F.

200 - 148 = 52

52 / 4 = 13 each

G.

500 + 100 = 600

600 / 5 = 120 without the discount

Hope this helps!

The slope (m) and the y-intercept (b) of the line 2x + 3y = 12 is:

Answers

Step-by-step explanation:

[tex]2x + 3y = 12 \\ 3y = - 2x + 12 \\ y = - \frac{2}{3} x + 4[/tex]

slope is -2/3

y intercept is 4

Answer:

The slope is -2/3 and the y intercept is 4

Step-by-step explanation:

2x + 3y = 12

Slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

2x + 3y = 12

Subtract 2x from each side

2x-2x+3y = -2x+12

3y = -2x+12

Divide by 3

3y/3 = -2x/3 +12/3

y = -2/3 x +4

The slope is -2/3 and the y intercept is 4

Double Tower of Hanoi: In this variation of the Tower of Hanoi there are three poles in a row and 2n disks, two of each of n different sizes, where n is any positive integer. Initially one of the poles contains all the disks placed on top of each other in pairs of decreasing size. Disks are transferred one by one from one pole to another, but at no time may a larger disk be placed on top of a smaller disk. However, a disk may be placed on top of one of the same size. Let tn be the minimum number of moves needed to transfer a tower of 2n disks from one pole to another.

a. Find q and t2.

b. Find t3.

c. Find a recurrence relation for t1, t2, t3, ....

Answers

Answer:

a) t1 = 2 , t2 = 6

b) t3 = 14

c)  recurrence relation ( Tn ) = 2Tn-1 + 2

Step-by-step explanation:

Tn = minimum number of moves needed

2n disks is moved from one pole to another

a) determine the value of t1 and t2

let n = 1

2n moves = 2 * 1 = 2

∴ t1 = 2

let n = 2

2n moves = 2*2 = 4

∴ t2 = 4 + t1 = 4 + 2 = 6

b) determine value of t3

let n = 3

2n moves = 2 * 3 = 6

∴ t3 = t1 + t2 + 6

       = 2 + 6 + 6 = 14

c) Determine th recurrence relation

let n ≥ 2  i.e. n - 1 ≥ 1

number of disk required to be moved = 2n

number disks as follows : 1 to 2n

the recurrence relation = sum of number of moves in each step

                                    Tn = Tn-1 + 2 + Tn -1

hence recurrence relation ( Tn ) = 2Tn-1 + 2   when all integers n ≥ 2

Which is the graph of y = RootIndex 3 StartRoot x EndRoot?

Answers

Given:

The equation is:

[tex]y=\sqrt[3]{x}[/tex]

To find:

The graph of the given equation.

Solution:

We have,

[tex]y=\sqrt[3]{x}[/tex]

The table of values is:

x                 y

-8              -2

-1                -1

0               0

1                 1

8                8

Plot these points on a coordinate plane and connect them by a free hand curve as shown in the below graph.

Answer:

D

Step-by-step explanation:

edge 2020

i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have.(hint: one is the other simplified)

Answers

Answer:

0.05N - 0.1N + 1.7 (in dollars

1.7 - 0.05N (in dollars)

Step-by-step explanation:

Given :

Total number of coins = 17

Number of nickels = N

Number of dimes = 17 - N

1 nickel = 5 cent = $0.05

1 dime = 10 cent = $0.1

The amount of money :

(Value of nickel * number of nickels) + (value of dime * number of dime)

(0.05 * N) + (0.1 * (17-N))

0.05N + 1.7 - 0.1N

0.05N - 0.1N + 1.7

-0.05N + 1.7 = 1.7 - 0.05N

solve
f(x)=4x5−8x4+8x2−4x

Answers

Given:

The function is:

[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]

To find:

The roots of the given equation.

Solution:

We have,

[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]

For roots, [tex]f(x)=0[/tex].

[tex]4x^5-8x^4+8x^2-4x=0[/tex]

[tex]4x(x^4-2x^3+2x-1)=0[/tex]

[tex]4x((x^4-1)+(-2x^3+2x))=0[/tex]

[tex]4x((x^2+1)(x^2-1)-2x(x^2-1))=0[/tex]

On further simplification, we get

[tex]4x(x^2+1-2x)(x^2-1)=0[/tex]

[tex]4x(x-1)^2(x+1)(x-1)=0[/tex]

[tex]4x(x+1)(x-1)^3=0[/tex]

Using zero product property, we get

[tex]4x=0[/tex]

[tex]x=0[/tex]

Similarly,

[tex]x+1=0[/tex]

[tex]x=-1[/tex]

And,

[tex](x-1)^3=0[/tex]

[tex]x=1[/tex]

Therefore, the zeroes of the given function are [tex]-1,0,1[/tex] and the factor form of the given function is [tex]f(x)=4x(x+1)(x-1)^3[/tex].

Given the mean of a random variable, X, is 10 and P(X < 11) = 0.67. Find the standard deviation.

Answers

Answer:

Step-by-step explanation:

This is the problem we need to solve:

[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex] and we have everything but the z-score (which we find from a table) with our main unknown being the standard deviation.

If the probability that a random variable that is less than 11 is .67, we first have to find the z-score from the table that is closest to .67, and there are 2:

P(z < .43) = .66640 and P(z < .44) = .67003

We'll use z = .44

[tex].44=\frac{11-10}{\sigma}[/tex] and

[tex].44=\frac{1}{\sigma}[/tex] and

[tex]\sigma=\frac{1}{.44}[/tex] so

σ = 2.27 (check it; it works!)

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form
(2 • 6) 3/2

Answers

Answer:

24√3

Step-by-step explanation:

(2 • 6)^(3/2) =

= 12^(3/2)

= √(12³)

= √1728

= √(2^6 • 3² • 3)

= 2³ • 3 • √3

= 24√3

Which graph represents the function f (x) = StartFraction 2 Over x minus 1 EndFraction + 4?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = negative 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = negative 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.

Answers

Answer:

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4

Step-by-step explanation:

The given function is presented as follows;

[tex]f(x) = \dfrac{2}{x - 1} + 4[/tex]

From the given function, we have;

When x = 1, the denominator of the fraction, [tex]\dfrac{2}{x - 1}[/tex], which is (x - 1) = 0, and the function becomes, [tex]\dfrac{2}{1 - 1} + 4 = \dfrac{2}{0} + 4 = \infty + 4 = \infty[/tex] therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote

Also we have that in the given function, as x increases, the fraction [tex]\dfrac{2}{x - 1}[/tex] tends to 0, therefore as x increases, we have;

[tex]\lim_ {x \to \infty} \dfrac{2}{(x - 1)} \to 0, and \ \dfrac{2}{(x - 1)} + 4 \to 4[/tex]

Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1

When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, [tex]\dfrac{2}{0 - 1} + 4 = 2[/tex]. When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left

Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.

Answer:

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4

Step-by-step explanation:

The given function is presented as follows;

From the given function, we have;

When x = 1, the denominator of the fraction, , which is (x - 1) = 0, and the function becomes,  therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote

Also we have that in the given function, as x increases, the fraction  tends to 0, therefore as x increases, we have;

Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1

When -∞ < x < 1, we also have that as x becomes more negative, f(x) → 4. When x = 0, . When x approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left

Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.

Andrea paid $9.99 to join an online music service. She purchases 12 songs each month at a cost of $0.79 per song Andrea thinks after six months she will have spent around $40 total is Andrea‘s estimate reasonable?

Answers

Answer:

không

Step-by-step explanation:

Answer:

I have no idea you can use the app paper.

Step-by-step explanation:

Hope it helps.

Describe the pattern in the following sequence and list the next three terms:
4, 8, 16, 32, ...

I’ll mark brainliest! Please help me

Answers

Ummm it’s kind of easy but this is my way of doing it
Multiples of 4 after continuing 2 digits skip one multiple and continue;-;

quadratics formula 4x^2+3x-1=0

Answers

Answer: X = 1/4 or X = -1

Step-by-step explanation:

4x2+3x−1=0

(4x−1)(x+1)=0

4x−1=0 or x+1=0

4x=1 or x=-1

Now divide 4 from both sides

like this 4x/4=1/4

now cancel out two 4's so the answer will be x=1/4

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