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Answer:

[tex]\left(x-10\right)-\left(2x-5\right)^2=-4x^2+21x-35[/tex]

Step-by-step explanation:

As we have to subtract [tex]\left(2x\:-\:5\right)^2[/tex] from [tex]\left(x-10\right)[/tex]

so

[tex]\left(x-10\right)-\left(2x\:-\:5\right)^2[/tex]

solving and simplifying the polynomial in standard form

[tex]\left(x-10\right)-\left(2x-5\right)^2[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]=x-10-\left(2x-5\right)^2[/tex]

[tex]=x-10-\left(4x^2-20x+25\right)[/tex]      ∵ [tex]\left(2x\:-\:5\right)^2=\:4x^2-20x+25[/tex]

[tex]=x-10-4x^2+20x-25[/tex]

[tex]=-4x^2+21x-35[/tex]

We know that standard form means that the terms of the expression are ordered from biggest exponent to lowest exponent.

Thus, a simplified polynomial in standard form is:

[tex]\left(x-10\right)-\left(2x-5\right)^2=-4x^2+21x-35[/tex]

Answer:

n <−4

42 - 28n + 4n >138

42 - 24n >138

-24n > 138 - 42

-24n >96

n <−96/24

N <−4

Answer:

Step-by-step explanation:

The number of people who have two-course meal is (10 - x)

Correct equation is:

Solving for x:

Answer:

Answers:

1) 15x + 12(10 - x) = 141

2) 7 and 3

15x + 12(10 - x) = 141

15x + 120 - 12x = 141

3x = 141 - 120

3x = 21

x = 7

Answer:

4 and 6

Step-by-step explanation:

Answer:

15x-5=y

Step-by-step explanation:

The equation of the line will be written as y = 15x - 5.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given data is,

The number of diamonds          Total number of points earned

      1                                                             10    

      2                                                            25

      3                                                            40    

      4                                                            55  

      5                                                            70

The slope of the line will be,

Slope = ( 25 - 10 ) / 1

Slope = 15

The y-intercept of the line,

y = mx + c

y = 15x + c

10 = 15 + c

c = -5

The equation will be written as,

y = mx + c

y = 15x - 5

Therefore, the equation of the line will be written as y = 15x - 5.

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Answer:

1) rational

2) Irrational

3)rational

4) irrational

5) rational

Step-by-step explanation:

If it has a whole number answer and doesn't have never ending number its rational

Answer:

7/20

Step-by-step explanation:

Total probability=1

Total probability of selecting either cherry or raspberry=¼+²/5=13/20

Probability of getting sour apple=1-13/20=7/20

Answer:

I think it is X or Y. I might be wrong.

Answer:

∠Y = 85°  , side XZ

Step-by-step explanation:

180 = 5x - 1 + 8x + 5 + 4x + 6

180 + 1 - 5 - 6 = 5x + 8x + 4x

170 = 17x

x = 170 / 17

x = 10

∠X = 5(10) - 1 = 49°

∠Y = 8(10) + 5 = 85°

∠Z = 4(10) + 6 = 46°

therefore, the longest side of a triangle is the opposite site of

∠Y = 85°  , side XZ

Answer:

the first one

Step-by-step explanation:

you get lower down payment but higher fee payment

Answer:

their correct

Step-by-step explanation:

Answer:

A) (2, 6)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

The solution set of the systems of equations would be where the 2 lines intersect. According to the graph, the equations intersect at (2, 6). Therefore, our answer is A.

Answer:

5x-13

Step-by-step explanation:

Answer:

11/2??????

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

The theorem that applies is Similar SAS.

The correct option is C.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given information:

SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.

From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.

To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:

SM/ DL = 27/9 = 3

MA/LE = 15/5 = 3

Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.

Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.

The answer is (C) Similar - SAS.

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Answer:

 3.5x

Step-by-step explanation:

the medium box would be 1x, if small is half the size, its 0.5x, and large is 2x since its 2x the size of medium. add all of them up and its 3.5x size

Answer: x=2y=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert the equation into mx+b format.

y=-1/2x + 6

Then, graph the line using the slope and y-intercept.

Answer:

57% 0.52 14/25 0.6

Step-by-step explanation:

all you have to do is change all of the numbers into decimals

hope this helps :)

First, convert each to the same (#/#, 0.#, or #%). I'll use decimals (usually the easiest). 0.52 and 0.6 remain the same. 14/25 may seem hard at first, but you can change it to 56/100 (14*4/25*4=56/100), then you can use that to convert to 56%. Multiply by 0.01, or divide by 100, remove the %, and you will get 0.56. For 57%, you just need to do repeat the last step again, which will give you 0.57. From least to greatest, the list would be 0.52, 0.56, 0.57, and 0.6, or 0.52, 14/25, 57%, and 0.6.

Answer:

The first one

Step-by-step explanation:

3x6=18

3.6x5=18

Answer:

E

Step-by-step explanation:

By definition,

Linear or first degree equations are of the type ax + b = y, with a≠0, or any other equation in which when operating, transposing terms and simplifying they adopt that expression.

A solution to an equation is a number that can be entered into the variable to make a true number statement.

In this case, you know that the solution to a system of equations is (5,-19). This is, x=5 and y=-19.

Replacing the value of x in linear expressions, I can calculate the value of y and I must get that y=-19.

A. y=-3×5 -6 → y= -15 -6 → y= -21

B. y=2×5 -23 → y= 10-23 → y= -13

C. y=-7×5+16 → y= -35 +16 → y= -19

D. y=5-17 → y= -12

E. y=-2×5-9 → y= -10 -9 → y= -19

Observing the solutions obtained, the equations that satisfy the solution and make uo the system are option C. and E.

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Answer: All of thé above

Step-by-step explanation:

Answer:

15.4%

Step-by-step explanation:

Calculate the volume of both containers.

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

[tex]V_{A}[/tex] = π × 10² × 11 = 1100π ft³

[tex]V_{B}[/tex] = π × 7² × 19 = 931π ft³

Subtract volume of B from volume of A to find quantity left in A

quantity left in A = 1100π - 931π = 169π ft³

To calculate the percentage left in A after B has been filled

[tex]\frac{left}{full}[/tex] × 100%

= [tex]\frac{169\pi }{1100\pi }[/tex] × 100%

= [tex]\frac{169}{1100}[/tex] × 100%

= 15.4% ( to the nearest tenth )

Answer:

a) Yes, HL

Step-by-step explanation:

[tex]We\ know\ that:\\Both\ triangles\ are\ right\ triangles. (90\ degree)\\They\ share\ a\ common\ side.\\They\ have\ their\ hypotenuses\ corresponding.\\Hence,\\Through\ HL(If\ the\ hypotenuse\ and\ any\ leg\ of\ the\ triangles\ are\ corresponding,[/tex][tex]then,\ the\ two\ triangles\ are\ congruent.)[/tex]

[tex]We\ can\ hence,\ conclude\ that\ the\ given\ triangles\ are\ congruent.[/tex]

Answer:

a)64

b)512

c)2^12

d)2^3m

Step-by-step explanation:

At every meal, 3 ounces of the cake is eaten

a) After 2 meals, the number of ounces consumed is 6 ounces

For each ounce, height is doubled , for 6 ounces, we have 2 * 2 * 2 * 2 * 2 * 2

Her height is multiplied by 64

b) After three meals

Total consumption is 3 * 3 = 9 ounces

So her height will be multiplied by 2^9 = 512

c) After four meals

Total ounces is 4 * 3 = 12

So her height will be multiplied by 2^12

d) After M meals

Number of ounces is m * 3 = 3m ounces

Her height will be multiplied by 2^3m

Answer:

50%

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

31 is half of 62, so it was a 50% decrease.

Answer:

ummmmmm

Step-by-step explanation:

Answer:

x+7=14

x=7

(7)+7=14

Step-by-step explanation: