What is 9 2/6 - 3 5/6

9514 1404 393

Answer:

  23)  x = ±3i, ±√2

  26)  x = 4/3, (-2/3)(1 ± i√3)

Step-by-step explanation:

23) Put in standard form to make factoring easier.

  x^4 +7x^2 -18 = 0

  (x^2 +9)(x^2 -2) = 0 . . . . factors in integers

Using the factoring of the difference of squares, you can continue to get linear factors in complex and irrational numbers:

  (x -3i)(x +3i)(x -√2)(x +√2) = 0

  x = ±3i, ±√2

___

26) This will be the difference of cubes after you remove the common factor.

  81x^3 -192 = 0

  3(27x^3 -64) = 0

  (3x -4)(9x^2 +12x +16) = 0 . . . . . factor the difference of cubes

The complex roots of the quadratic can be found using the quadratic formula.

  x = (-12 ±√(12^2 -4(9)(16)))/(2(9)) = (-12 ±√-432)/18 = -2/3 ± √(-4/3)

Then the three solutions to the equation are ...

  x = 4/3, (-2/3)(1 ± i√3)

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3 bouquets of 3$ is 3*3 = 3^2

4 bouquets of 2$ = 2 * 4

Answer:

D

Step-by-step explanation:

The 1220 feet is positive because the plane is above her.

The 14 feet is negative because the tree is below her.

Because you're comparing distances, you need the absolute value of both distances.

The absolute value of 1220 is 1220 and the absolute value of -14 is 14, so the absolute value of 1220 is greater than the absolute value of -14. The answer is D.

Answer:

The maximum height the rocket reaches is 16.

Step-by-step explanation:

You know that a model rocket is launched in the air and the quadratic function is modeled by the equation y = -16*x² + 32*x where x is measuring time and y is the height of the model rocket.

A quadratic function or function of the second degree is a polynomial function defined by:

y= a*x² + b*x + c

A quadratic function has a maximum or a minimum and the vertex formula is used to get the highest or lowest value of the function. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").

The value of the vertex on the x-axis can be calculated with the expression [tex]x=\frac{-b}{2*a}[/tex]

The value of the vertex on the y axis must be obtained by substituting the value of the vertex on the x axis in the function y= a*x² + b*x + c

In this case, a= -16, b=32 and c=0. Since a<0 the vertex will indicate the maximum of the function.

The value of the vertex on the x-axis is [tex]x=\frac{-32}{2*(-16)}=1[/tex]

The value of the vertex on the y axis  is:

y = -16*1² + 32*1

Solving:

y= -16*1 +32

y= -16 +32

y=16

The maximum height the rocket reaches is 16.

Answer:

individual pay (a) = cost of popcorn / number of friends

Step-by-step explanation:

Assuming the cost of the popcorn is to be split evenly among the three friends, where all three friends are to split 5.70, the pay per friend is;

individual pay (a) = 5.70 (cost of popcorn) / 3 (number of friends)

Answer:

4550$

Step-by-step explanation:

350$ times 13 would give you 4550

mark brainless please <3

Answer:

$4550

Step-by-step explanation:

$350 x 13 = $4550

Have a good day/night

Answer:

16.25% was spent on food

Step-by-step explanation:

Step one

given data

A family spends $520 every month on food

The family's income is $3200 Monthly

Required

We want to find the percentage of the income spent on food only

Step two

percentage spent on food= amount spent on food/income*100

percentage spent on food= 520/3200*100

percentage spent on food= 0.1625*100

percentage spent on food= 16.25%

=16.25%

Answer:

33.33%

Step-by-step explanation:

8 out of 24 hours is equivalent to 1/3 which equals to 33.33%

Answer:

8/24 converted to a percentage = 33.333333333333%

Step-by-step explanation:

I think it will be 1.7

i am not sure

Answer:

25

Step-by-step explanation:

it's so easy to get to know

Step-by-step explanation:

Given

f(x) = 2x - 5

f^-1(x) = ?

we know

Let

y = f(x)

Or y = 2x - 5

Now Interchanging the role of x and y we get

x = 2y - 5

or 2y = x + 5

therefore y = (x+5) / 2

Therefore, f^-1(x) = ( x + 5 ) / 2

Hope it will help :)❤

Answer: $78

Step-by-step explanation:

We start by doing 260 x 30.

260 x 30 = 7800.

Then we divide the product of 260 and 30 by the original percent, which is 100.

7800 divided by 100 = 78.

So the answer is 78

Answer: 13

Step-by-step explanation: x =7 so u plug 7 in as x .and u do 7 plus 6 which gives u 13.

HOPE it helps  ;)

Answer:

a = -2 and p = 4.

Step-by-step explanation:

x²+2(3x+p)=0

x^2 + 6x + 2p = 0

For the general equation ax^2 + bx + c = 0, the sum of roots = -b/a and their product = c / a.

So here we have:

Sum of the roots:

a + 2a = -6/1 = -6

Product of the roots = 2a^2 = 2p/1 = 2p..

So 3a = -6 and

a = -2.

and

2(-2)^2 = 2p

8 = 2p

p = (-2)^2 = 4.

Answer:

see explanation

Step-by-step explanation:

Since x = a and x = 2a are roots, then substitute these values into the equation.

x = a

a² + 2(3a + p) = 0, that is

a² + 6a + 2p = 0 → (1)

x = 2a

(2a)² + 2(3(2a) + p) = 0

4a² + 12a + 2p = 0 → (2)

Solving simultaneously

Subtract (1) from (2) term by term to eliminate p

3a² + 6a = 0 ← in standard form

3a(a + 2) = 0 ← in factored form

Equate each factor to zero and solve for a

3a = 0 ⇒ a = 0

a + 2 = 0 ⇒ a = - 2

Since a ≠ 0 then a = - 2

Substitute a = - 2 into either of the 2 equations and solve for p

substituting into (1)

(- 2)² + 6(- 2) + 2p = 0

4 - 12 + 2p = 0

- 8 + 2p = 0 ( add 8 to both sides )

2p = 8 ( divide both sides by 2 )

p = 4

Thus a = - 2 and p = 4

--------------------------------------------

a + 1 = - 2 + 1 = - 1

a - 5 = - 2 - 5 = - 7

If x = - 1 and x = - 7 are roots then the corresponding factors are

(x + 1) and (x + 7) and the quadratic equation is the product of the factors, that is

(x + 1)(x + 7) = 0 ← expand left side using FOIL

x² + 8x + 7 = 0

Answer:

I would have to say D

Step-by-step explanation:

because it is a complete function

The function [tex]f(x)=100^{x-5}-1[/tex] has a x-intercept

For an exponential function to have a x-intercept, the function must cross the x-axis

To determine the function, we simply plot them on a graph.

From the graph (see attachment), we can see that the graph of the function [tex]f(x)=100^{x-5}-1[/tex] crosses the x-axis.

This means that the function [tex]f(x)=100^{x-5}-1[/tex] has a x-intercept

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

96÷8=12 so it wold be $12 per CD AND 63÷6=10.5 there for making the CD $10.5 making Best Buy your answe

Answer:

b) y = 3x + 1

y = x+1

Step-by-step explanation:

Select all the systems of equations that have exactly one solution.

a)

y = 3x + 1

y = 3x + 7

y - 3x = 1.... Equation 1

y - 3x = 7...... Equation 2

We solve using Elimination

We Subtract Equation 2 from 1

(y - y ) - (3x - 3x) = 7 - 1

0 = 6

b) y = 3x + 1...... Equation 1

y = x +1...... Equation 2

x = y - 1

We substitute y - 1 for x in Equation 1

y= 3(y - 1) + 1

y = 3y - 3 + 1

y - 3y = -3 + 1

-2y = -2

y = -2/-2

y = 1

Solving for x

x = y - 1

x = 1 - 1

x = 0

x = 0, y = 1,

The Equations in b) have only one solution

c) x+y=10

x = 10 - y

2x+2y=20

We substitute

2(10 - y) + 2y = 20

20 - 2y + 2y= 20

-2y + 2y = 20 - 20

0 = 0

It has no solution

d) x+y=10.... Equation 1

x+y=12..... Equation 2

We solve using Elimination

We Subtract Equation 2 from 1

x - x + y - y = 12 - 10

0 = 2

Answer:

207.7175

Step-by-step explanation:

take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.

Answer:

AB = BC = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

This is a 45-45-90 triangle (right isosceles). This means that the side ratio is

1:1:[tex]\sqrt{2}[/tex], where AC is sqrt 2, and AB and BC are 1. Now, we need to plug this into our ratio. If sqrt 2 is 8, then 1 is x.

8/[tex]\sqrt{2}[/tex] = x/1 = x

x = 8/[tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] (rationalized)

AB and BC are both 4 * sqrt 2

The answer is AB = BC = 4√2

f.ck yo 50 points like dafawkkkk

Answer:

0

Step-by-step explanation:

The y-intercept of y = -3x is zero.

Answer:

0

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = -3x

Step 2: Break Function

Identify Parts

Slope m = -3

y-intercept b = 0

*We assume that if the variable isn't there, it is 0 or being multiplied by 0.

Answer:

The answer to question 3 is : 2x^2 + 5x + 3

Step-by-step explanation:

The FOIL method is multiplying the first variables, the outside variables, the inside variables and the last variables.

(2x + 3)(x + 1)

F = 2x times x = 2x^2

O = 2x times 1 = 2x

I = 3 times x = 3x

L = 3 times 1 = 3

2x^2 + 5x + 3

I'll leave the rest to you. You got this!

Answer:

1. 2x^2+5x+3   2.3x^2-13x-10    3.10^2+12x+2

Step-by-step explanation:

trust

and plz mark brainliest

Answer:

line mo

Step-by-step explanation:

Because the triangle are congrument

RST and MNO are the triangle

RT is a line in the RST triqangle

it is equal to the MO line in MNO

Answer:

D) V= 1/6 bh

Step-by-step explanation:

The expression that provides the volume of the pyramid is as follows;

As mentioned in the question

It is given that the pyramid put inside a prism

Also the pyramid contains the similar base area but the height is half of the prism

so the base area of the pyramid is b

And, the Height of the pyramid = h ÷ 2

Now as we know that  

The volume of the pyramid is

V = 1 ÷3 × base ares × height

= 1 ÷ 3 × b × h ÷ 2

V = 1 ÷ 6 bh

So, the volume is 1 ÷6 bh cube unit.

Answer:

V = 1/6 BH

Step-by-step explanation:

the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6

Step-by-step explanation:

Question 9:

Hypotenuse = 7

Leg = Hypotenuse / √2 = 7/√2 = 7√2 / 2.

Therefore x = y = 7√2 / 2.

Question 10:

Leg = 10

Since x is also a Leg, x = 10.

Hypotenuse = Leg * √2 = 10√2. => y = 10√2.

Question 11:

Leg = 7

Since x is also a Leg, x = 7.

Hypotenuse = Leg * √2 = 7√2, => y = 7√2.

Answer:

1

Step-by-step explanation:

they are the exact same, so y=x, or y=1x.