The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which
inequality represents this situation?

Answer:

10626 different arrangements

Step-by-step explanation:

As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.

The formula for a permutation of n choose p is:

P(n,p) = n! / (n-p)!

So, using n = 23 and p = 3, we have:

P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626

So we have a total of 10626 different arrangements of first, second and third place.

Answer:

x=55 degrees

Step-by-step explanation:

Angle X + 125 degrees is 180 degrees. 180 minus 125 is 55.

Answer:

A

Step-by-step explanation:

1:2.5 because 2/2=1 and 5/2=2.5

Answer:

y-1=-2/3(x+9)

Step-by-step explanation:

y-1=-2/3(x-(-9))

y-1=-2/3(x+9)

Answer:

Only point C. (9,4)

Step-by-step explanation:

To check if the points are inside the region of the inequalities, we just need to use the values of the point in each inequation, and if the point satisfy all inequations, the point is inside the region.

point A = (1,8): s = 1 and t = 8

first inequation: s<24 - 0.66t

1 < 24 - 0.66*8

1 < 18.72 (true)

second inequation: s>12 - t

1 > 12 - 8

1 > 4 (false)

So point A is not inside the region.

point B = (-9,21): s = -9 and t = 21

As we can see from the fourth inequation, the s value needs to be greater than 0, and point B has s negative, so point B is not inside the region.

point C = (9,4): s = 9 and t = 4

first inequation: s<24 - 0.66t

9 < 24 - 0.66*4

9 < 21.36 (true)

second inequation: s>12 - t

9 > 12 - 4

9 > 8 (true)

third inequation: s< 30 - t

9 < 30 - 4

9 < 26 (true)

fourth inequation: s>0

9 > 0 (true)

fifth inequation: t>0

4 > 0 (true)

As all conditions are true, point C is inside the region.

point D = (30,10): s = 30 and t = 10

first inequation: s<24 - 0.66t

30 < 24 - 0.66*10

30 < 17.4 (false)

So point D is not inside the region.

Answer:9,4

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

The slope of a line in y=mx+b form is always the number before the x value.

Hope this helps!

Answer:

y+-1/2x-1

Step-by-step explanation:

The line is negative

It rises one digit and runs 2

and it crosses though -1 on the y axis

Answer:

$218.40

Step-by-step explanation:

i=prt

i=(5200)(.042)(1)

Answer:

additive inverse

Step-by-step explanation:

-7 is the inverse of 7 so adding it would cancel it out making it 0

Answer:

A. Trinomial

Step-by-step explanation:

It says it's a polynomial and that based on the number of terms. So right then you can cancel out cubic and quadratic because they aren't polynomials. Also:

Cubic is just a variable with the exponent of 3. Examples:

[tex]x^3,y^3,z^3[/tex]

Binomial is a polynomial with 2 terms. Examples:

[tex]5x+3; 6x+2; x+7[/tex]

A quadratic has a division sign.

Answer:

The first option, the mayor will lose by a large percentage.

Step-by-step explanation:

If you look at the numbers, You can see that the two best answers which are excellent and satisfactory are low, and in total equal 28.

Being compared to the lower ratings which are needs improvement and unsatisfactory are high, and in total equal 52.

Seeing this, this shows that the mayor will lose the election the with more than half of the people voting for someone else.

All the other options excluding the first one, say that he will win by a close call, a big percent, or a close call again.

which just leaves the first option saying that he will lose by large percent, which is true.

Answer:

Step-by-step explanation:

If you write correctly:

[tex]P = -2xys+3x? - 10xy^{6} +8x+4\\[/tex]

I do not know the "?" in the formule de P

-The polynomial has 5 terms.  Yes

-The leading coefficient is -2. No

.

-The degree of the polynomial is 7.  Yes

-The constant term is 4.  Yes

-The polynomial is in decreasing degree order. No

Answer:

2

Step-by-step explanation:

8+12+4+8 = 32

32/4 = 8

8-8 = 0

12-8 = 4

8-4 = 4

8-8 = 0

4+4+0+0 = 8

8/4 = 2

Answer:

Step-by-step explanation:

d = 17 cm

r = 17/2 = 8.5 cm

Circumference of circle = πd

                                       = 3.14 * 17

                                       = 53.38 cm

Area of circle = πr²

                       = 3.14 * 8.5 * 8.5

                       = 226.865 cm²

The domain is the input (x) value. Since the equation is not provided with any input limit the answer is negative infinity to infinity.

The answer is the last choice.

Answer:

a and e

Step-by-step explanation:

Answer:

5/5

Step-by-step explanation:

So imagine you have 1 pie, and its fresh out of the oven so its still hole, that makes it 1/1 or ! whole, the same with 5 because the pies are still whole and not eaten its 5/5

Answer:

They are 13 units apart. -8 is closer to zero while -21 is farther ways from zero.

Answer:

Total length of the first swing=64 m

Step-by-step explanation:

The total length of all four swings can be expressed as; Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing

where;

Total length of all 4 swings=175 m

Length of first swing=x

Length of second swing=75% of length of first swing=(75/100)×x=0.75 x

Length of third swing=75% of length of second swing

Length of third swing=(75/100)×0.75 x=0.5625 x

Length of fourth swing=75% of length of third swing

Length of fourth swing=(75/100)×0.5625 x=0.421875 x

replacing;

Total length of all 4 swings

175=x+0.75 x+0.5625 x+0.421875 x

2.734375 x=175

x=175/2.734375

x=64

Total length of the first swing=x=64 m

Answer:

X=1

Step-by-step explanation:

6x+2=9x-1

-6x on both sides

2=3x-1

+1 on both sides

3=3x

/3 on both sides

1=x

Flip

X=1

Answer:

(9, 21)

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:

a = 4 and b = - 30

Step-by-step explanation:

Expand the left side and compare like terms on both sides, that is

(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² - x - 6)(x + 5) ← distribute

= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms

= x³ + 4x² - 11x - 30

Compare like terms with x³ +ax² - 11x + b

4x² and ax² ⇒ a = 4

+ b and - 30 ⇒ b = - 30

The requried simplified values of a and b are given as 4 and -30 respectively.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
(x+2)(x-3)(x+5) = x³+ax²-11x+b
(x + 2)[x² +2x -15 ] = x³+ax²-11x+b
x³ +4x² -11x - 30 = x³+ax²-11x+b

Comparing both sides,
a = 4 and b = -30

Thus, the requried simplified value of a and b are given as 4 and -30 respectively.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

[tex] \tt{}6x ^{3} + {7x}^{2} - x - 5[/tex]

Step-by-step explanation:

[tex] \tt{}(7 {x}^{2} - x - 2) - ( - 6 {x}^{3} + 3)[/tex]

[tex] \tt{}7 {x}^{2} - x - 2 + 6x^{3} - 3[/tex]

[tex] \tt{} {7x}^{2} - x - 5 + 6x ^{3} [/tex]

[tex] \tt{}6x ^{3} + {7x}^{2} - x - 5[/tex]

Answer:

[tex]6 {x}^{3} + 7 {x}^{2} - x - 5[/tex]

Step-by-step explanation:

[tex](7 {x}^{2} - x - 2) - ( - 6 {x}^{3} + 3)[/tex]

➡️ [tex]7 {x}^{2} - 2 - ( - {6}^{3} + 3)[/tex]

➡️ [tex]7 {x}^{2} - x - 2 + 6 {x}^{3} - 3[/tex]

➡️ [tex]7 {x}^{2} - x - 5 + 6 {x}^{3} [/tex]

➡️ [tex]6 {x}^{3} + 7 {x}^{2} - x - 5[/tex] ✅

Answer:

4:7

Step-by-step explanation:

3:5=6:10/2=3:5

9:15=9:15/3=3:5

Answer:

number 13. is d

Step-by-step explanation:

Answer:

the answered is -3 like in the picture

Step-by-step explanation:

Answer:

8 tablespoons of pepper

Step-by-step explanation:

Therefore, double the recipe: 4 × 2 = 8 tablespoons of pepper

Answer:

-1/2

Step-by-step explanation:

The slope of the line is y=mx+b. when searching for the slope of a line you take where the line crosses EXACTLY on two points, for this grid it would be (0,3) and (2,2) based off this you see that you Rise 1 and Run 2. rise and run is how you find the formula for slope, since the line is going from the left side of the graph to the right (in a downward motion) the overall direction of the line is negative. now you plug in the answer to the formula given, y=-1/2x+3, the +3 or b in the formula is where the line intersects the y axis. this can be negative or positive. the slope can also be taken from the formula, -1/2for more explanation or questions ask please!

Answer:

0

Step-by-step explanation:

An additive inverse is any number that adds to a certain number to make the value 0. For example, 6 has an additive inverse of -6. Therefore, -7 has an additive inverse of 7 because 7-7 (or -7+7)=0

Answer:

0

Step-by-step explanation:

Answer:

The median is 88. The median shows that Brian gets on average 88% on his tests.

Step-by-step explanation:

If you put the numbers in order and get the average of the two middle number, it is 88.