On average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes.

Which absolute value equation can be used to calculate Carter's maximum and minimum time to get ready?

Let x represent the maximum and minimum time.


|x−15|=25

|x+15|=25

|x+25|=15

|x−25|=15

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:

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:

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:

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:

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:

k= 2

y = 32

Step-by-step explanation:

y is inversely proportional to x

y = 16, x = 8

find y when x = 16

k= 2 & y = 32

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:

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 :)❤

$3.60 is the sales tax

After tax the price is $63.60

Answer

$63.60

Step-by-step explanation:

6% of 60 = 3.60

3.60+ 60= 63.60

Answer:help me

Step-by-step explanation:

Answer:

x3

Step-by-step explanation:

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:

yes

Step-by-step explanation:

By ASA similarity;

<b=<a

<c=<e

DE=DC

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:

The zeroes are -1 and 13

Positive value: [tex]x = 13[/tex]

Step-by-step explanation:

Given

[tex]2x^2 - 24x = 26[/tex]

Solving (a): The zeros

[tex]2x^2 - 24x = 26[/tex]

Subtract 26 from both sides

[tex]2x^2 - 24x - 26= 26-26[/tex]

[tex]2x^2 - 24x - 26= 0[/tex]

Divide through by 2

[tex]\frac{1}{2}(2x^2 - 24x - 26) = \frac{1}{2} * 0[/tex]

[tex]x^2 - 12x - 13 = 0[/tex]

Expand

[tex]x^2 - 13x + x - 13 = 0[/tex]

Factorize:

[tex]x(x-13)+1(x-13)=0[/tex]

[tex](x+1)(x-13)=0[/tex]

Split:

[tex]x +1 =0\ or\ x-13=0[/tex]

[tex]x =-1\ or\ x=13[/tex]

Hence, the zeroes are -1 and 13

Solving (b): The positive value of x

In (a) above:

[tex]x =-1\ or\ x=13[/tex]

The positive value is:

[tex]x = 13[/tex]

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:

The three consecutive square numbers that added together give 149 are 6, 7 and 8.

Step-by-step explanation:

To determine which are the three square consecutive numbers that added together add up to 149, the following calculation must be performed:

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

7 x 7 = 49

8 x 8 = 64

9 x 9 = 81

10 x 10 = 100

Thus, we can see that 36 + 49 + 64 gives the result 149. Therefore, the three consecutive square numbers that added together give 149 are 6, 7 and 8.

Answer:

-(135/31), 60/31

Step-by-step explanation:

y=60/31

x=-(135/31)

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:

79

Step-by-step explanation:

Supplementary are angles that will add up to 180. So to find the missing angle we do 180 - 101 and get 79.

hope this helps (:

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

Answer:

Can you put a number line in the picture?

Step-by-step explanation:

That would really help

Answer:

I think its C but without the number line a cant tell.

Step-by-step explanation:

Step-by-step explanation:

I think it will be 1.7

i am not sure

Answer:

D

Step-by-step explanation:

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.