Which function's graph has x-intercepts at x = - 2 and x = 4 , and a vertex at point (1, - 18) ?

Answer:

can you write it in a clearer way

Step-by-step explanation:

Answer:

$92

Step-by-step explanation:

Find the profit by plugging in 10 as c and 7 as p into the expression:

5c + 6p

5(10) + 6(7)

50 + 42

= 92

So, the bakery will make $92

Answer:

x=360/8

=45 degrees,,,,

The measure of x = 45°.

Exterior angles of a polygon are formed when by one of its side and extending the other side. The sum of all the exterior angles in a polygon is equal to 360 degrees. You are already aware of the term polygon. A polygon is a flat figure that is made up of three or more line segments and is enclosed. The line segments are called the sides and the point where two sides meet is called the vertex of the polygon.

According to question,

There is a regular octagon.

Number of sides in regular octagon, n = 8

Since, measure of each exterior angle = 360°÷8

                                                                = 45°

Hence, the measure of each exterior angle of a regular octagon is 45°

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Answer:

the answer is c.(ooo ool lll)

9514 1404 393

Answer:

Step-by-step explanation:

Let n represent the number. Then half the number is n/2. We are told that ...

  n = n/2 +10 . . . . the number equals half the number plus 10

  n/2 = 10 . . . . . . .subtract n/2

  n = 20 . . . . . . . . multiply by 2

The number is 20.

Answer:

[tex]S = \{1,2,3,4,5,6\}[/tex]

Step-by-step explanation:

Given

Roll of a single die

Required

The sample space

On a single die, we have the following numbers: [tex]1,2,3,4,5,6[/tex]

Each of these numbers represent possible outcomes.

So, the sample space is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

Answer:

(3,1) (6,-2)

Good luck on your assignment!

Answer:

$56.40

Step-by-step explanation:

If you take the $47.00 and add 20% you will get 56.4

Answer: B. −9

Step-by-step explanation: -7--(-2)

−7+−2

−9

Answer:

[tex] I = \dfrac{1}{3}sin(3x) - 3cos(x) + C[/tex]

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

[tex]\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]

[tex]\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}[/tex]

Answer:

[tex]\displaystyle \large{\frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Step-by-step explanation:

We are given the indefinite integral:—

[tex]\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx}[/tex]

Important Formulas

[tex]\displaystyle \large{\int f(ax+b) \ dx = \frac{1}{a} F(ax+b) + C}\\\displaystyle \large{\int \cos(ax) \ dx = \frac{1}{a} \sin (ax) + C \ \ \tt{(a \ \ is \ \ a \ \ constant.)}}\\\displaystyle \large{\int \sin x \ dx = - \cos x + C}\\\displaystyle \large{\int [f(x) \pm g(x)] \ dx = \int f(x) \ dx \pm \int g(x) \ dx}\\\displaystyle \large{\int kf(x) \ dx = k \int f(x) \ dx \ \ (\tt{k \ \ is \ \ a \ \ constant.})}[/tex]

Therefore, from the integral, apply the properties above:—

[tex]\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + \int 3 \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + 3 \int \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{1}{3} \sin 3x + 3\cdot -\cos x + C}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Hence, the solution is:—

[tex]\displaystyle \large \boxed{\frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Hi there! Use the difference of two squares formula to solve the problem below:

[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]

From the equation, 64 comes from 8². Thus,

[tex] \large{ {x}^{2} - 64 = 0} \\ \large{(x + 8)(x - 8) = 0}[/tex]

The question also asks you to solve for all real values. Thus,

[tex] \large{x = 8, - 8}[/tex]

Answer

Answer:

Maximum Profit = 13050

when

The Toy company sells Jordan Size hoops = 7

The Toy company sells Shaq Size hoops = 3

Step-by-step explanation:

Given - The Toy Company sells two types of kids' basketball hoops, Jordan size and Shaq size.  A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together. The  Company requires the neighborhood to order at least 2 Jordan sizes and at least 3  Shaq sizes. The Toy Company makes a profit of $1,350 on the Jordan size and $1,200  on the Shaq size.

To find - What is the maximum profit they can make given the constraints  above?

Proof -

Let us assume that,

The Toy company sells Jordan Size hoops = x

The Toy company sells Shaq Size hoops = y

Now,

Given that,  A neighborhood needs no more than 10 Jordan sizes and Shaq sizes all together.

⇒x + y ≤ 10

Now,

Given that,  The  Company requires the neighborhood to order at least 2 Jordan sizes and at least 3  Shaq sizes.

⇒ x ≥ 2

   y ≥ 3

Now,

Given that,

The Toy Company makes a profit of $1,350 on the Jordan size and $1,200  on the Shaq size.

So,

The objective function becomes

Z = 1350x + 1200 y

So,

The Linear Programming Problem (LPP) becomes

Maximize Z = 1350x + 1200 y

Subject to

x + y ≤ 10

x ≥ 2

y ≥ 3

x, y ≥ 0

We will Solve the LPP by Graphical method.

The graph is as follows :

The points on the Boundary are -

A(2, 8)

B(2, 3)

C(7, 3)

So,

Points (x,y) Objective function value  ( Z = 1350x + 1200y)

B(2,3)            1350(2) + 1200(3) = 6300

C(7,3)           1350(7) + 1200(3) = 13050

A(2,8)                 1350(2) + 1200(8) = 12300

So,

Maximum value = 13050 at point C(7,3)

∴ we get

Maximum Profit = 13050

when

The Toy company sells Jordan Size hoops = x = 7

The Toy company sells Shaq Size hoops = y = 3

The expectation of having nuts in the 84 sundaes if 4 had nuts and 20 did not is 14.

It is a fundamental operation in mathematics where you divide a number into smaller parts.

Given:

The sundaes had nuts = 4,

Total sundaes = 24,

So from this the possibility of having nuts in sundae = 4/24 = 1 / 6,

Hence, in 84 sundaes the possibility of having nuts is = 1 / 6 × 84 = 14,

Therefore, the expectation of having nuts in the 84 sundaes is 14.

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Step-by-step explanation:

35A) arc AC = 360-(100+110+80)=

360-290 = 70°

35B) L D = ½× 70 = 35°

35C) L AEC = ½(100+70)=½×170= 85°

35D) L P = ½(100-70) = ½×30 = 15°

Answer:

A) 1/13

B) 1/52 (or 1/4)

Step-by-step explanation:

52 cards in total.

4 Queens in total.

4/52=1/13

1 Queen of diamonds.

1/4 of 1/13 = 1/4×1/13 = 1/52

The second part of the question isn't overly clear, so I think that the answer is most likely 1/52, but could be 1/4.

answer:

x = 64

step-by-step explanation:

so we know that, 180 + 26 + x + 90 = 360°

180 + 26 + x + 90 = 360°

296 + x = 360

x = 64°

Answer:

36 possible ways

Step-by-step explanation:

Range of digit : 0 up to 9

To obtain the number of strings of 4 decimal digits that have exactly 3 digits that are 9s ; we use the multiplication rule :

In other to have exactly 3 digits from 4 that are 9s :

Say:

We have 3 9s and the last number could be any of the 10 possible digits except 9

First 9 = 1 possible way (since we have only one 9 between (0 to 9)

Second 9 = 1 possible way

Third 9 = 1 possible way

4th digit = 9 ways (could be any digit between 0 and 9, except 9)

Also, we consider the 4th digit's position ; as it could take up any of different positions in between the 9s = 4 ways

Using the product rule :

1 * 1 * 1 * 9 * 4 = 36 possible ways

Answer: add 18

Step-by-step explanation:

It's asking for the opposite equation. Addition undoes Subtraction. Same with multiplication undoing division.

Answer:

the missing angle would be 17 inches. I am not exactly sure but if the leg a and leg b were calculated with those 2 numbers then the other side(known as hypotenuse) should be 17 inches

Answer:

Step-by-step explanation:

662

Answer:

4 and -5

Step-by-step explanation:

malfyrhxosddifufigif

Answer:

[tex](x-2)^2+(y+4)^2=25[/tex]

Step-by-step explanation:

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius of the circle.

The given circle has:

x-coordinate of center: 2

y-coordinate of center: -4

radius: 5

Meaning h = 2, k = -4, r = 5

Substitute into the general eqn.

[tex](x-2)^2+(y+4)^2=5^2=25[/tex]

Answer:

Solve in terms of the arbitrary variable B

.

Alw(10)⋅(ys)

true

a=10

m=57°B

Step-by-step explanation:

Answer:

A) 4/3

Step-by-step explanation:

A) 4/3

X = 30°

The triangle in the circle as one angle of the main triangle and it is equilateral indicated by the slashes meaning all angles are 60°. (Every triangle has a total of 180°) the next angle is made from a tangential line the forms a 90° right angle with one of the radii in the circle meaning the main triangle has 1 angle of 60°, 1 angle of 90°, and that means that angle X is 30°.

Answer:

triangle ABD is a equilateral triangle.

so each angle is 60°

<ADB=60°

<BAD=60°

again

we have

CD is perpendicular to AD[tangent on the arc is perpendicular to the radius]

:. ADC=90°

°

again

In triangle ADC

<A+<B+<C=180°[sum of a interior angle of a traingle is 180°]

60°+90°+x=180°

x=180°-150°

x=30°

is a right answer.

Answer: 19.2inches³

Step-by-step explanation:

The volume of a cone is calculated as:

= 1/3πr²h

where,

π = 3.14

r = radius = diameter/2 = 3.5/2 = 1.75

h = height = 6

Volume = 1/3πr²h

= 1/3 × 3.14 × 1.75² × 6

= 19.2325

= 19.2inches³

Therefore, the volume of the cone-shaped sandwich is 19.2inches³.

(4,-6)

OR -6

GOODLUCK :)