Christina loses 2 1/2 pounds every month for a year. How much weight did she lose that year? There are 12 months in a year. Simplify (or reduce) your answer, if necessary.

Step-by-step explanation:

If the polynomial has complex roots, the conjugates of those complex roots must also be part of the zeroes.

Therefore x = -3 - i and x = 3 - i are also zeroes of g(x). However this means that g(x) has 5 solutions when the degree of g(x) is 4. This is impossible, and hence the list is incorrect.

If either of the complex roots (x = -3 + i or x = 3 + i) had a multiplicity of 2, their conjugates will also have a multiplicity of 2, which is impossible as discussed previously.

Therefore x = 1 has a multiplicity of 2.

We have

x⁴ - 8x³ + 23x² - 26x + 10 = (x - 1)²(Ax² + Bx + C).

= (x² - 2x + 1)(Ax² + Bx + C)

= Ax⁴ + (B - 2A)x³ + (A + C - 2B)x² + (B - 2C)x + C

By Comparing Coefficients,

A = 1,

B - 2A = -8,

A + C - 2B = 23,

B - 2C = -26,

C = 10

Solving them we get A = 1, B = -6 and C = 10.

Hence x⁴ - 8x³ + 23x² - 26x + 10

= (x - 1)²(x² - 6x + 10).

Using the Quadratic Formula on x² - 6x + 10,

we find that the correct complex roots are

x = 3 + i and x = 3 - i.

Hence,

the zeroes of g(x) are x = 1, x = 3 + i and x = 3 - i.

Answer:

is the right answer.

Answer:

81 square meters

Step-by-step explanation:

So you can split this figure into one parallelogram (on the bottom) and one triangle (on the top). Find the area of each and then add them together.

The area of a parallelogram is always just length * width, so in this case that would be 9 * 5 = 45 square meters.

Next, the area of a triangle is base * height / 2, so before you can solve you have to find the length of the base.

Going back to the parallelogram, the sides opposite each other are always equal, meaning that if the bottom has a length of 9, the top also has a length of 9.

This means that the top of the parallelogram, which is also the base of the triangle, has a length of 9 m. Now, plug those numbers into the formula for area of a triangle, so:

9 * 8 / 2 = 72 / 2 = 36 square m.

The last step is to add the two areas together:

45 + 36 = 81 square meters.

Answer:

I got 9

Step-by-step explanation:

I did subtraction and then added and then divided by 16x on both sides

Answer:

linear

y=(5x+3)2

y=10x+6

this line has a slope of 10 and a y-intercept of 6, it's linear because it has a constant slope and there are no exponents

Answer:

gsuwjcz veg eg get due date calculator for y andre sullu will

Answer:

8/5

Step-by-step explanation:

7/10 + 5/6

~Find common denominators

21/30 + 25/30

~Add

46/30

~Simplify

8/5

Best of Luck!

Answer:

I believe her weight is 80kg

Step-by-step explanation:

Ceri normal weight is 50 Kg.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Present Weight = 55 Kg, which is 10% higher than her normal weight.

let her normal weight be x.

So,  x+ 10% of x = 55

x+ 1/10 x = 55

11x /10 = 55

11x= 550

x= 50

Hence, Ceri normal weight is 50 Kg.

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Answer:

The answer is no

Answer:

D

Step-by-step explanation:

From 0-2 the line/ slant on the graph is moving upward that represents 2 hours that's it's moving then from 2-3 it's a straight line that represents one hour of it standing still, from 3- 5 the line is moving up again which represents 2 more hours that it's moving

The following best describes the motion of the car shown It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

The correct option is (D).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

From 0-2 the graph is uniformly increasing which represents 2 hours that's it's moving.

Then from 2-3 there no increment or decrement which represents it is in rest.

Then, from 3- 5 the graph is uniformly increasing again which represents 2 more hours it is moving.

Hence,  It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

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Answer:

B. ΔAXC ≅ ΔBXC by SSS, so AC ≅ BC because they are corresponding parts of congruent triangles.

Step-by-step explanation:

From the given diagram, XC is common to ΔAXC and ΔBXC.

And it can be observed that CD divides AB into two equal length segments.

Thus,

AX ≅ BX (bisection property of a line)

AC ≅ BC (congruence property of triangles)

Therefore, the congruence relationship between triangles ΔAXC and ΔBXC would be, Side-Side-Side (SSS) so as to show that AC ≅ BC.

Answer:

it is 90*

Step-by-step explanation:

PLEASE BRAINLIEST!!!!!!!!

Answer:

if you give me my 20 points back

Step-by-step explanation:

Answer:

The Greatest Common Factor (GCF) of 30x² and 24x is 6x.

Step-by-step explanation:

Hence, the greatest common factor is [tex]6x[/tex].

the greatest common factor or greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

How To Solve?

The Prime Factorization of [tex]30x^2[/tex] and [tex]24x[/tex] respectively is :

[tex]30x^2=2*3*5*x*x[/tex]     ....................(1)

[tex]24x=2*2*2*3*x[/tex]      .....................(2)

Common factors in (1) and (2) are

[tex]2*3*x[/tex][tex]=6x[/tex]

Hence , the greatest common factor of [tex]30x^2[/tex] and [tex]24x[/tex] is [tex]6x[/tex].

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Answer:

Look at the graph below, hope this helped :)

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Given the following quartile values :

Q1 = 351, Q2 = 355. and Q3 = 357

Values below : Q1 - 1.5*IQR

Values above : Q3 + 1.5*IQR

IQR = Q3 - Q1

IQR = 357 - 351 = 6

THEREFORE ;

Lower boundary = 351 - (1.5 * 6) = 351 - 9 = 342

Upper boundary : 357 + (1.5 * 6) = 357 + 9 = 366

Hence, any value below the lower boundary value or above the upper boundary value would be considered an Outlier. Only values which lie within the lower and upper boundary values are not considered as outliers.

Therefore, a fill volume of 353 mL will not be considered an Outlier as it lies in between the lower and upper boundary values.

Answer:

1728ft³

Step-by-step explanation:

19×12=228

228x6= 1368

10×12=120

120×3=360

1,368+360= 1,728 ft³

A n s w e r:

(x+4)(2x−3)

Answer:

5

Step-by-step explanation:

To find the distance between two points, subtract the two values and find the absolute value. So in this question, our equation would be |-2-3| which equals |-5| which then solves to 5.

Answer:

ok here the answer mate

Step-by-step explanation:

13. is A you have to do is divide the mass value by 16

14.D all you have to do divide the length value by 12 and make evrything behind the decamil to inches.

15. D all you have to do is multiply the volume value by 1000

Brainlyest pls

Answer:

The answer is "Choice B".

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, in all choices, the choice (B) is Correct because in the declaration of the statement Only when the process has had at least another answer could a candidate solution for more than just a linear model explicitly uses a parametric description that's why the given statement is true.

Answer:

1   ,   4   ,    -14000  in the first three boxes

-2  , -5   ,  200000  in the bottom three boxes

Step-by-step explanation:

Recall that the values shown in the augmented matrix that you are given represent the coefficients used in the following equations:

[tex]1\,x_1+0\,x_2-1\,x_3-4\,x_4=-14000\\and\\0\,x_1+1\,x_2+2\,x_3+5\,x_4=200000[/tex]

Therefore, you can solve for x1 in the first equation, and for x2 in the second one , and then complete the boxes that you are presented with, using the coefficients that accompany each variable, and the last box is for the constant value (pure number term). Then you need to first solve for the given variables, and then use the coefficients found to input their values in the boxes:

[tex]x_1=1\,x_3+4\,x_4-14000\\and\\x_2=-2\,x_3-5\,x_4+200000[/tex]

So, please type in the first row of boxes, the numbers:

1   ,   4   ,    -14000  (in this order) to complete the three boxes.

And in the second row of boxes:

-2  , -5   ,  200000   (in this order)

Answer:

120 pi mm or 376.99 mm

Step-by-step explanation:

circumference is 2r pi or pi d. So you know the diameter is 120. You can plug 120 into the equation and get 120 pi which can equal to 376.99.

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Explanation:

The variable n is a placeholder for a number. Specifically some positive number. Let's say that n = 50. This means Eric biked 50 miles last year.

That would mean in total he biked 50+457 = 507 miles overall over the two years.

Since we don't know what n is, we don't replace it with 50. So we just keep n as it is. We would keep it as n+457

Once, or if, we find out the value of n, then we can replace that letter with that number.

Answer:

1

Step-by-step explanation:

The system of equations will have one solution at that point of intersection. However, if there are multiple points where the two equations intersect, there can be multiple. In addition, if you have parallel lines, you will have 0 solutions, but in your case, the answer is 1 solution

Answer:

x = 13

Step-by-step explanation:

You want to solve for x, so move anything not including x to the other side of the equal sign. In this problem, you want to add 26 to zero to move it.

Now your equation will look like 2x = 26

Divide both sides by 2 to solve for x

x = 13

Let me know if you are still confused!

18(s+t/2+2)

18(s+t/2+2)