y-intercept: 4
-: x-intercepts: -2, 5, 7
-: Relative maximum at (0,4)
-: Relative maximum at (6, -3)
-: As → −∞, → −∞
-: As → ∞, →

Answer:

5.6

Step-by-step explanation:

If you add all the numbers together then divide it by 15 you would get 5.6

Answer:

4 and 7/12

Step-by-step explanation:

This is addition with fractions.

We must convert to the same denominator.

1/3 and 1/4 becomes 4/12 and 3/12

This makes 7/12

1 add 3 add 7/12 is 4 and 7/12

Answer:

Divide 12 by -6

The formula for calculating the mark up percentage is as follows:

sticker price - invoice price/invoice price • 100 = percent mark up

Percentage mark up can be described as follows:

percentage mark up = selling price per unit - cost price per unit / cost price per unit × 100

Therefore,

Mark up is the difference between a product's selling price and cost as a percentage of the cost.

Therefore, the formula for calculating the mark up percentage is as follows:

sticker price - invoice price/invoice price • 100 = percent mark up

learn more on percentage mark up here: https://brainly.com/question/16959984

#SPJ1

To hold 1,000,000 inflated balloons,

38 classrooms are needed.

In three-dimensional space,

the amount of space taken by an object is the volume of that object.

The volume of the cubic,

= length x width x height

Given:

The dimensions of the normal classroom are 15 ft × 50 ft × 35 ft.

The volume of the classroom,

= 15 ft by 50 ft by 35 ft.

= 26250 cubic feet.

The number of classrooms,

= 1,000,000 / 26250

Simplifying the fraction,

we get,

= 38.09

≈ 38 to the nearest whole number.

Therefore, 38 classrooms are required.

To learn more about the volume;

https://brainly.com/question/23477586

#SPJ2

The table in which y varies directly with x is table C.

When a variable varies directly with another variable, it means that as one variable increases, the other variable also increases.

The equation that is used to represent direct variation is:

y = kx

Where y is the constant of proportionality

In table c, k is equal to 26

To learn more about direct variation, please check: https://brainly.com/question/27573249

#SPJ1

Answer:

140

Step-by-step explanation:

Angles in a triangle add up 180 :

180 = 107 + 33 + y

y = 180 - (107+33)

y = 180 - 140

y = 40

Angles on a straight line add up to 180 so :

180 = x + y

180 = x + 40

x= 180 - 40

x = 140

Hope this helped and have a good day

Answer:

x = 140°

Step-by-step explanation:

Concepts

The Exterior Angle Theorem states that the two remote angles in a triangle is equal to the exterior angle.

Application

In this case, the two remotes angles are 107 and 33°, and the exterior angle is x. Now, all we have to do is just add 107 and 33 to get our answer.

Solution

Answer:

52 x 7= 50 x 7 + 2 x 7

Step-by-step explanation:

Answer:

I guess, A is the wanted answer, but

A and D together are the really correct answer.

Step-by-step explanation:

if I understand this correctly, then

g(x) = sqrt(x - 3)

the domain of a function is the definition of all valid x (input) values.

the range of a function is the definition of all valid y (result) values.

well, the content (the arguments) of a square root cannot be negative (at least not while dealing with real numbers).

so, the answer options B and D are automatically out, because the domain contains values that would make the arguments of the square root negative.

I guess your teacher wants to focus only on the positive results of the square root, so A is the correct number.

BUT formally, without designated restrictions, a square root has always 2 solutions : a positive and a negative one.

because (-x)² = (x)² = x².

so, I would have to say that the really correct answer is

A + D, because the range contains both, the positive and the negative numbers.

The equation that defines the relationship between the height and the time and models the position of the ball in time is the quadratic function y = - 8 · t² + 24 · t.

Quadratic functions are polynomials of grade 2 of the form y = a · t² + b · t + c, where t and y are the time and the height of the ball, in seconds and feet, respectively. To determine the value of the three coefficients we need to know three different points of the form (t, y).

If we know that (t₁, y₁) = (0 s, 0 ft), (t₂, y₂) = (1 s, 16 ft) and (t₃, y₃) = (3 s, 0 ft), then the quadratic function is:

a · 0² + b · 0 + c = 0     (1)

a · 1² + b · 1 + c = 16      (2)

a · 3² + b · 3 + c = 0      (3)

The solution to this system is a = - 8, b = 24, c = 0.

The equation that defines the relationship between the height and the time and models the position of the ball in time is the quadratic function y = - 8 · t² + 24 · t.

To learn more on quadratic functions: https://brainly.com/question/17177510

#SPJ1

The equation that best models the data is (a) y = 186 - 6.2x

The data is not provided; so I would give a general guide on how to model a linear equation.

Assume the points on the line are:

(0,186) and (1,179.8)

Start by calculating the slope of the line using:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

This gives

[tex]m = \frac{179.8 - 186}{1 - 0}[/tex]

Evaluate

m = -6.2

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

y = -6.2(x - 0) + 186

Evaluate

y = -6.2x + 186

Rewrite as:

y = 186 - 6.2x

Hence, the equation that best models the data is (a) y = 186 - 6.2x

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

Answer:

[tex]log_2(10)[/tex]

Simplify the equation using logarithms.

[tex]2^3x=10[/tex]

[tex]log_1_0(2^3x)=log_1_0(10)[/tex]

log rule ⇩

[tex]log_a(x^y)=y*log_a(x)[/tex]

move exponent out of log.

[tex]x*log_1_0(2)=log_1_0(10)[/tex]

isolate variable further

[tex]x*log_1_0(2)=log_1_0(10)[/tex]

[tex]x=\frac{log_{10}(10)}{log_{10}(2)}[/tex]

formula for combining logs. ⇩

[tex]\frac {log_b(x)}{log_b(a)}=log_a(x)[/tex]

the result ⇩

[tex]x=log_2(10)[/tex]

The angle of depression of the airplane is 39.8°, length of the runway is 45794 ft, and approximate height of the tower is 321 m.

The angle of depression of the airplane is given as follows:

Let the angle of depression be A.

[tex]A= {tan}^{ - 1} ( \frac{15000}{8000} ) = {39.8}^{o} [/tex]

Angle of depression is 39.8°.

If the angle of elevation is 6.8°, the length of the runway l is calculated thus:

horizontal distance of airplane from end of runway = d

length of runway, L = d - 80000 ft

[tex]d = \frac{15000}{tan 6.8°} = 125794 ft[/tex]

L = 125794 - 80000

L = 45794 ft

The length of the runway is 45794 ft

2. Let the height of the tower be H

[tex]H = \tan(69.8) \times 118 = 321m[/tex]

The approximate height of the tower is 321 m

Learn more about angle of elevation and depression at: https://brainly.com/question/15580615

#SPJ1

The length of ribbon C is  37 feet.

The equation that can be used to determine the length of ribbon C is:

C = 34 + ( length of ribbon B - length of ribbon A)

C = 34 + (59 - 56)

C = 34 + 3

c = 37 feet

To learn more about addition, please check: https://brainly.com/question/19628082

#SPJ1

Step-by-step explanation:

Because probability is always one(1).

Probability =

[tex]1 - \frac{2}{10} [/tex]

[tex] \frac{8}{10} [/tex]

[tex] \frac{4}{5} [/tex]

Is the probability of not choosing a red marble.

The fact that Dean Field places random numbers in the general ledger system to make it balance and leaves the office to catch his flight is wrong.

It should be noted that a ledger simply means a record of the balance of each of the accounts of a business.

In this case, when he realizes the company’s trial balance is a mess and it does not balance, he should have waited and ensured that he re calculated it and made it balance.

Learn more about ledgers on:

brainly.com/question/1436327

#SPJ1

Answer:

Multiply:

[tex](x+y)by (x+y)[/tex]

[tex] : \implies(x + y)(x + y)[/tex]

[tex] : \implies \: x(x + y) + y(x + y)[/tex]

[tex] : \implies {x}^{2} + xy + xy + {y}^{2} [/tex]

[tex] : \implies{x}^{2} + 2xy + {y}^{2} [/tex]

Multiply:

[tex]a+b \: by \: a^2-b^2[/tex]

[tex]: \implies( {a}^{2} + {b}^{2} ) \times (a + b)[/tex]

[tex]: \implies \: {a}^{2} (a + b) - {b}^{2} (a + b)[/tex]

[tex]: \implies \: {a}^{3} + {a}^{2} b - {ab}^{2} - {b}^{3} [/tex]

Multiply:

[tex](a+5) by (a^2-2a-3)[/tex]

[tex]: \implies{(a + 5) \times ( {a}^{2} - 2a - 3) }[/tex]

[tex]: \implies \: a({a}^{2} - 2a - 3) + 5( {a}^{2} - 2a - 3)[/tex]

[tex]: \implies(a \times {a}^{2} - a \times 2a - a \times 3) + (5 \times {a}^{2} - 5 \times 2a - 5 \times 3)[/tex]

[tex]: \implies{a}^{3} - {2a}^{2} - 3a + 5 {a}^{2} - 10a - 15 [/tex]

[tex]: \implies{ {a}^{3} + {3a}^{2} - 13a - 15}[/tex]

Multiply:

[tex](a^2-ab+b^3) by (a+b)[/tex]

[tex]: \implies{(a + b) \times ( {a}^{2} - ab + {b}^{3} )}[/tex]

[tex]: \implies \: a( {a}^{2} - ab + {b}^{3}) + b( {a}^{2} - ab + {b}^{3} ) [/tex]

[tex]: \implies {a}^{3} - {a}^{2} b + a {b}^{3} + {a^2b} - {ab}^{2} + {b}^{4} [/tex]

[tex]: \implies{ {a}^{3}+ab^3 - ab^2+ {b}^{4} }[/tex]

Step-by-step explanation:

[tex] \blue{ \frak{Seolle_{aph.rodite}}}[/tex]

Considering the given function, the ordered pair (5,8) means that the signed up for 5 weeks of yoga classes and 8 weeks of kickboxing classes.

The function that represents the relationship between the number x of yoga classes that Donovan signs up for and the number y of kickboxing classes is given by:

8x + 12y = 136.

Hence the ordered pair (5,8) means that the signed up for 5 weeks of yoga classes and 8 weeks of kickboxing classes.

More can be learned about functions at https://brainly.com/question/25537936

#SPJ1

The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)

From the diagram attached, we can say that;

Period = 2π/k

where;

k = 2π/2.25

k = 8π/9

Thus;

h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)

h(t) = -24cos (8π/9)t + 24.5

Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;

41 = -24cos (8π/9)t + 24.5

41 - 24.5 = -24cos (8π/9)t

16.5 = -24cos (8π/9)t

-0.6875 = cos (8π/9)t

cos⁻¹0.6875 = (8π/9)t

t = 0.834 min

Thus, time interval is between;

0.834 < t < (2.25 - 0.834)

⇒ 0.834 < t < 1.416 and

(2.25 + 0.834) < t < (2.25 + 1.416)

⇒ (3.084, 3.666)

Read more about Cycle Graphs at; https://brainly.com/question/24461724

#SPJ1

Answer:

6x² + 7x-20

A. (3x-4)(2x + 5)

Answer:

  7.2 cm

Step-by-step explanation:

The height of the trapezium can be found by making use of the area formula with known values filled in.

__

The area of a trapezium is given by ...

  A = 1/2(b1 +b2)h . . . . b1, b2 are the parallel sides, h is the height

Using the given values, we have ...

  90 cm² = 1/2(6 cm +19 cm)h . . . . . . use the known values

  (90 cm²)/(12.5 cm) = h = 7.2 cm . . . . divide by the coefficient of h

The height of the trapezium is 7.2 cm.

Answer:

0.625

Step-by-step explanation:

Answer:

35,000

Step-by-step explanation:

^4 means 4 zeros

10^4 = 10,000

3.5 times 10,000 =

35,000

Answer:

variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

Answer:

variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

Step-by-step explanation:

In Maths, a variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. The variables are specially used in the case of algebraic expression or algebra. For example, x+9=4 is a linear equation where x is a variable, where 9 and 4 are constants.

Step-by-step explanation:

Given =

AC = 6cm

BC = 9cm (hyp)

AB =

By pyth

A^2 = B^2 + C^2

9 = 6 + AB

AB = 9-6 = 3

AB =3

Hope this helps