show work needed please!

Answer:

∉

Step-by-step explanation:

10 is not a member of the set {6, 8, 13, 14} and ∉ is used to represent "not a member of"

Answer:

B ( if you talking about Mathematics enhancement )

Step-by-step explanation:

First one make the statement true but ( 6, 8, 13 ,14 ) didn't related to 10 According to a pattern

Answer:

$45

Step-by-step explanation:

100% = $75

100% - 40% = 60% (discounted price)

60% = 0.6

0.6 x 75 = 45

60% = $45 (discounted price)

Answer: she could buy 10 cookies.

Step-by-step explanation:

In order to figure out how many cookies she can buy just do 20÷2.

Answer:

k = -4

Step-by-step explanation:

8 = 2k - 8 - 6k

Collect like terms

8 = -4k - 8

Add 4k to both sides (nice to have variable on left, constants on right)

8 + 4k = -8

Subtract 8 from both sides

4k = -16

Divide both sides by 4

k = -4

The solution to the expansion of each polynomial is;

1. (x + 9)(x² - 9x + 81) = x³ + 729

2. (y² - 7)(y⁴ - 7y² + 49) = y⁶ − 14y⁴ + 98y² - 343

3. (x² - 5)(x⁴ + 5x² + 25) = x⁶ - 125

4. (8x - 9y)(64x² + 72xy + 81y²) = 512x³ - 729y³

5. (10m - 11) (100m² + 110m + 121) = ​1000m³ - 1331

1) We want to expand the polynomial;

(x + 9)(x² - 9x + 81)

= x³ + 729

2) We want to expand the polynomial;

(y² - 7)(y⁴ - 7y² + 49)

Multiplying out gives;

y⁶ −7y⁴ + 49y² −7y⁴ + 49y² - 343

Combining like terms gives;

y⁶ − 14y⁴ + 98y² - 343

3) We want to expand the polynomial;

(x² - 5)(x⁴ + 5x² + 25)

Multiplying out gives;

x⁶ - 125

4) We want to expand the polynomial;

(8x - 9y)(64x² + 72xy + 81y²)

Multiplying out gives;

512x³ - 729y³

5) We want to expand the polynomial;

(10m - 11)(100m² + 110m + 121)

Multiplying out gives;

1000m³ - 1331

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Answer:

2 1/3 :)

Step-by-step explanation:

The slope of the line that passes through the points (-9, 0) and (−17,4) is -2

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.

The formula to calculate slope is -

m = x2 - x1 / y2 - y1

(-9, 0) and (−17,4)

m = -17 + 9 / 4 - 0

m = -8/4

m = -2

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Answer:

Step-by-step explanation:

Answer:

0.153 or 15.3%

Step-by-step explanation:

Subtract save percentage last season from save percentage this season:

0.738 - 0.585 = 0.153

Convert the decimal answer to a percent

0.153 x 100% = 15.3%

The greatest possible value of A + B is 600000.

The smallest possible value of A + B is 600000.

The greatest possible value of A - B is 0.

It should be noted that from the information, A and B are integers.

A = 300,000 to the nearest 100,000

B = 300,000 to the nearest 10,000

Therefore, the greatest possible value of A + B will be:

= 300,000 + 300,000

= 600000.

The smallest possible value of A + B is also, 600000.

The greatest possible value of A - B will be:

= 300,000 - 300,000

= 0.

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The degree of the polynomial formed is 6.

The degree of a polynomial is the highest degree of the variables present with non-zero coefficients.

For example the polynomial has three 7x³y²+9xy+4 terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.

Now the given functions are:

[tex]f(x)=x^3[/tex] ,g(x)=3x²-1 and h(x)=2x

Now we have to find (f ° g° h)(x). Let us first find (g°h)(x).

(g°h)(x) is equal to g[h(x)]

=g[2x+5]

=3(2x+5)²-1

=3(4x²+20x+25)-1

=12x²+60x+74

Now we find (f ° g° h)(x)

(f ° g° h)(x)=f[g(2x+5)]

f[g(2x+5)]=f(12x²+60x+74)

f(12x²+60x+74)=(12x²+60x+74)³

Now we have to simplify the expression:

(12x²+60x+74)³

=[tex]1728x^6+25920x^5+161568x^4+535680x^3+996336x^2+985680x+405224[/tex]

The largest degree of the variable x in the polynomial is 6.

hence the degree of [f o go h](x) is 6.

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The statement that a function is decreasing on an interval if the output values decrease as the input values decrease is FALSE.

A decreasing function refers to a function where the value of the output moves in a different direction from the value of the input.

For instance, in a decreasing function, the value of the output would decrease when the value of the input increases.

In conclusion, it is false that a function is decreasing if the output and the input are both decreasing.

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Answer: 1:8

Step-by-step explanation:

13 tables

104 chairs

Ratio: 13:104

divide both sides by 13

13:104 = 1:8

Answer:

-1

Step-by-step explanation:

Tn = a+(n-1)d (general formula)

Tn = 8-n (given formula)

T9 =8-9

T9=-1

Thus, 36° is the smaller angle and 144° is the greater angle.

For instance, the complement angle of 130° and the angle of 50° is 180°. Complementary angles add up to 90 degrees. When the two extra angles are combined, they create a straight line and an angle. The two angles that complement one another do not necessarily need to be close to one another, it should be emphasised. As a result, two angles may be supplementary if their sum is 180 degrees. The study of various shapes is one of the main areas of mathematics.

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Answer: −8n+3+n+11

Add the terms

−7n+3+11

Solution

−7n+14

Step-by-step explanation: hope this helps

Answer:

g(-6) = -6

g(0) = 5

g(7) = 8

h(-6) = 10

h(0) = -1

h(7) = -4

Step-by-step explanation:

g(x) = (1/3) f(x)

g(-6) = (1/3)(-18) = -6

g(0) = (1/3)(15) = 5

g(7) = (1/3) (24) = 8

h(x) = -g (x) + 4

h(-6) = -(-6) + 4 = 10

h(0) = -(5) + 4 = -1

h(7) = -(8) + 4 = -4

I hope this helps!

Answer:

C. 73.5lbs

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

7.8

-7.9

-17.40

1. 5.6

-2. 17.18

-5. 7.12

.8 15.22

Step-by-step explanation:

According to the given statement the teenagers went to the zoo = 300

First order equations include linear equations. In the coordinate system, the linear equations have been defined for lines. A linear equation throughout one variable is one in which there is a homogeneous variable having degree 1 (i.e., only one variable). many  variables have present in a linear equation.

6a+4c+5t = 5300......................(equation)

a+c+t = 1200

3c-8t = 0

So,

Putting the value a= 1/6

6a+4c+5t = 5300

0.333c+0.167t = 316.667

3c-8t = 0

solving for the value of t:

6a+4c+5t = 5300

3c-8t = 0

1.056t = 316.667

So,

t = 316.66666667/1.05555556

= 300

According to the given statement the teenagers went to the zoo = 300.

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Answer:

Step-by-step explanation:

{(0, 2), (1, –1), (2, 3), (3, –2)}

Answer:basically, x never reats with a different y

(x,y)

A is a fn of x since x never repeats

B is a fn of x since x never repeats

C is a fn of x since x never repeats

D is not since we have (1,2) and (1,-2) so this is the answer

Step-by-step explanation:

Step-by-step explanation:

5/8 = y/3

(5/8) times 3 = 15/8

y=15/8

or

y = 1 and 7 over 8

or y = 1.875

Answer:

see explanation

Step-by-step explanation:

f(x) × g(x)

= 3x(4x - 1) ← distribute parenthesis by 3x

= 12x² - 3x

when x =  1 , then

= 12(1)² - 3(1) = 12(1) - 3 = 12 - 3 = 9

The quadratic equation to model the graph is y = x² - 6 · x + 14.

The picture presents us the graph of a parabola, whose algebraic expression is a quadratic equation. In accordance with fundamental theorem of algebra, a quadratic equation can be derived by knowing three distinct points on Cartesian plane.

If we know that (x, y) = (0, 14), (x, y) = (3, 5) and (x, y) = (6, 14), then the coefficients of the quadratic equation in standard form:

14 = c                                       (1)

5 = 9 · a + 3 · b + c                  (2)

14 = 36 · a + 6 · b + c              (3)

The solution of the system of linear equations is (a, b, c) = (1, - 6, 14). Hence, the quadratic equation to model the graph is y = x² - 6 · x + 14.

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[tex]\displaystyle\\Answer: \frac{400}{93}\approx4.3[/tex]

Step-by-step explanation:

[tex]\displaystyle\\4:0.93=\\\\\frac{4}{0.93 }=\\\\\frac{4}{\frac{93}{100} } \\\\\frac{4*100}{93} \\\\\frac{400}{93} \approx\\\\4.3[/tex]

Answer: 3x+25

Step-by-step explanation: Fraction 3/1 is the same as 3. Using PEMDAS we multiply the numbers in the parenthesis 3x+3x9-2, 3x+27-2, Answer=3x+25

the area covered by the light of the lighthouse is given by: A = πx²

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

Area of a circle having r as radius = πr²

Given: The revolving light beam that extends to the pier.

Let the distance to the pier x.

Typically, the rotating beam rotates 360 degrees.

Therefore, Its motion is circular.

The mathematical formula for the area that the light covers is: A = πx²

Hence, the area covered by the light of the lighthouse is given by: A = πx²

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