PLEASE HELP! sketch y = 3x − 2

Answer:

x = $34.45

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

                       [tex]y = -10x^2 + 689x -6775[/tex]

We are to determine the profit maximizing selling price ( x )

From the properties of a parabola equation of the form:

                      [tex]y = ax^2 + bx + c[/tex]

The vertex ( turning point ) or maximum/minimum point is given as:

                     [tex]x = -\frac{b}{2a} \\\\x = - \frac{689}{2*(-10)} = \frac{689}{20}\\\\x = 34.45[/tex]

The profit maximizing selling price of widgets would be x = $34.45.

Answer:

6*108>3*106

Step-by-step explanation:

If you multiply 6, and 108, you would get 648.

And if you were to multiply 3 and 106 you would get 318. And 648>318.

Therefore, 6*108>3*106

Answer:

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Step-by-step explanation:

See Attachment for complete question

To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;

Given that

[tex](x,y) = (-4,2)[/tex]

Testing Option A

[tex]3x + 13y = 14[/tex]

[tex]6x + 11y = -2[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

Open Brackets

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

Open Brackets

[tex]-24 + 22 = 2[/tex]

[tex]2 = 2[/tex]

In both cases, the expression on the right hand side equates to that on the left hand side;

Hence, there's no need to check for other options.

=================================================

Work Shown:

Use the geometric mean formula to find that BD = 6

BD = geometric mean of AD and DC

BD = sqrt(AD*DC)

BD = sqrt(12*3)

BD = 6

Then use the pythagorean theorem to find the missing side for triangle BCD

a^2+b^2 = c^2

(CD)^2 + (BD)^2 = (BC)^2

3^2 + 6^2 = m^2

m^2 = 45

m = sqrt(45)

m = 6.70820393249937 approximately

m = 6.7 after rounding to one decimal place

Answer:

The answer is -(29+3a).

Step-by-step explanation:

=2(3-4a)+5(a-7)

= 6- 8a +5a -35

= 6-35-8a+5a

= -29-3a

= -(29+3a)

Hope it helps..

Answer:

Step-by-step explanation:

[tex]2(3 - 4a) + 5(a - 7)[/tex]

Distribute 2 through the parentheses

[tex] = 6 - 8a + 5(a - 7)[/tex]

Distribute 5 through the parentheses

[tex] = 6 - 8a + 5a - 35[/tex]

Calculate the difference

[tex] = - 29 - 8a + 5a[/tex]

Collect like terms

[tex] = - 29 - 3a[/tex]

Hope this helps...

Best regards!!

Answer:

[tex]\sum_{n=4}^{18}(n+1)^2=2440[/tex]

Step-by-step explanation:

Series: [tex]\sum_{n=4}^{18} (n+1)^2[/tex]

Formula :[tex]\sum_{k=m}^n=\sum_{k=1}^n-\sum_{k=1}^{m-1}[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=\sum_{n=1}^{18}(n+1)^2-\sum_{n=1}^{3}(n+1)^2[/tex]

[tex]\sum_{n=1}^{18}(n+1)^2=2469[/tex]

[tex]\sum_{n=1}^{3}(n+1)^2=29[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2469-29[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2440[/tex]

So, Option C is true

The correct answer is the last one, 7.5 x 104. (the sum is 772.5)

if you multiply it the sum is 772.5, and all the other ones sum is less than 772.5

I hope this helped (:

Answer:

I'm not 100% sure but I think the answer is step 2

Step-by-step explanation:

its the only step involving addition/subtraction properties rather than multiplicative/ division properties

HOPE THIS HELPS!!! :)

PLEASE LET ME KNOW IF IM WRONG!!!

Step 2, is the subtraction property of equality, Option A is correct.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here, while reviewing the steps,
In step 2, there is an elimination of 7, by adding 7 on both side because both sides consist of  -7,
When +7 add to both side, it becomes,
-7 + 7 rearranging gives, 7 - 7 = 0

Thus, Step 2, is the subtraction property of equality, Option A is correct.

Learn more about arithmetic here:

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Answer:

[see below]

Step-by-step explanation:

There is no underlined numbers. I will do all of them.

In the number '775':

700 + 70 + 5 = 775

Brainilest Appreciated.

Answer:

length: 5 yd

width: 4 yd

area: 20 yd^2

Step-by-step explanation:

1 yd = 3 ft

15 ft * (1 yd)/(3 ft) = 5 yd

12 ft * (1 yd)/(3 ft) = 4 yd

A = LW

A = 5 yd * 4 yd = 20 yd^2

Answer:

20 yd²

Step-by-step explanation:

1 yd = 3 ft =>

=>w = 12ft×yd/3ft = 4 yd

=> l = 15ft×yd/3ft = 5 yd

A = l × w

= 5yd × 4yd

= 20 yd²

Answer:

A. 14 square units

Step-by-step explanation:

Hey there :)

Well let's find the area of each individual rectangles.

Let's start with the side rectangle.

It has dimensions of 5*1 = 5.

5 square units

Now the 3 rectangles left have dimensions of 3*1=3,

3*3 = 9.

5+9=14

14 square units

Answer:

A, 14 square units

Step-by-step explanation:

What I would do is separate them into 4 shapes like the picture below

Because all of the shapes are rectangles, you can use the formula

[tex]A=L*W[/tex]

For shape #1, the length is 1 and the width is 3. Plot the numbers

[tex]A=1*3[/tex]

Multiply 1 by 3 to get

[tex]A=3[/tex]

The area of shape #1 is 3

The length and width of shape #2 and 3 are the same as 1, so you can multiply the area of shape #1 by 3 to get

[tex]3*3[/tex]

[tex]9[/tex]

The area of shape #1, 2, and 3 are 9.

Next, you want to find the area of shape #4 which has a length of 5 and a width of 1.

Use the same formula to get

[tex]A=5*1[/tex]

Multiply 5 by 1 to get

[tex]A=5[/tex]

The area of shape #4 is 5

The way to find the surface area of the whole figure is to add the area of all the shapes individually, or do what I did and add 5, to 9

[tex]A=5+9[/tex]

This gives you your answer which is

[tex]A=14[/tex]

Hope this helps.

Feel free to ask any more questions if you are confused.

Have a great day! :)

Answer:

A) [tex]4x^5-4x^4-16x^2+16x[/tex]

B) [tex]4x^4-4x^3-16x^2+16x[/tex]

Also, maybe that vertically means:

A) [tex]4x^2 \cdot x^3[/tex]    and [tex](-4x) \cdot (-4)[/tex]

Resulting in [tex]4x^5+16x[/tex]

B) [tex]x^2 \cdot 4x^2[/tex]    and  [tex]x \cdot (-8x)[/tex]  and [tex]-2 \cdot 0[/tex]

Resulting in [tex]4x^4-8x^2[/tex]

Step-by-step explanation:

It seems that you want to multiply the polynomials in this way: [tex](\text{Polynomial - 1})\cdot(\text{Polynomial - 2})[/tex]

A)

[tex]4x^2-4x[/tex]

[tex]x \cdot x^2 -4[/tex]

[tex](4x^2-4x)(x \cdot x^2 -4)=(4x^2-4x)(x^3 -4)[/tex]

[tex](4x^2-4x)(x^3 -4)\\[/tex]

[tex]4x^5-16x^2-4x^4+16x[/tex]

[tex]4x^5-4x^4-16x^2+16x[/tex]

B)

[tex]x^2+x-2[/tex]

[tex]4x^2-8x[/tex]

[tex](x^2+x-2)(4x^2-8x)[/tex]

[tex]4x^4-8x^3+4x^3-8x^2-8x^2+16x[/tex]

[tex]4x^4-4x^3-16x^2+16x[/tex]

Answer: 5.34

Step-by-step explanation: 18 - 12.66 = 5.34

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The multiplier for 1% would be 1.01

Multiply her distance from yesterday by this value

new distance = 10.75 x 1.01

new distance = 10.8575

I'm assuming you'd want the answer to 2 d.p (however, you can round accordingly if needed otherwise)

Subtract the two values

10.8575 - 10.75 = 0.1075

So, to 2 d.p your answer would be 0.11 km

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Answer:

40 degrees

Step-by-step explanation:

90 degrees + 50 degrees = 140 degrees

there are 3 angles that total at 180 degrees in every  triangle

180 degrees - 140 degrees = 40 degrees

Answer:

96 minutes in the whole game or 1 hour and 36 minutes and 1/8 of the game is left.

Step-by-step explanation:

So we know that there are 4 quarters in a game. So if they're halfway through the 3rd quarter with 12 minutes left in the game, that means half a quarter equals 12 minutes. That means a full quarter equals 24 minutes. Then we do 24 *4 which is 96. So there are 96 minutes in the whole game and there 1/8 of the game left since 96/8=12.

Hope this helped

Answer:

The cost of one hot dog and the cost of one hamburger is $3.25

The cost of one hot dog is $1.75

Step-by-step explanation:

Let the number of hot dogs be represented by d and hamburgers be h

3d + 2h = 8.25 ----- eqn(I)

2d + 3h = 8.00 ----- eqn(II)

From eqn(I): d = (8.25 - 2h)/3

substitute the expression for d into eqn(II)

2d + 3h = 8

2(8.25 - 2h)/3 + 3h = 8

(16.50 - 4h) + 3h(3) = 8(3)

16.50 - 4h + 9h = 24

5h = 24 - 16.50

5h = 7.50

h = 7.50/5 = 1.50

One hamburger costs $1.50

d = (8.25 - 2h)/3 = (8.25 - 2×1.50)/3 = (8.25 - 3.00)/3 = 5.25/3 = 1.75

One hot dog costs $1.75

Cost of one hot dog and cost of one hamburger = $1.75 + $1.50 = $3.25

Answer:

The population in 2003 was 234  million

Step-by-step explanation:

In order to calculate the population in 2003 we would have to use the The exponential growth formula as follows:

p(y)=ir^t

According to the given data:

p(y)=233 million

i=231 million

t =1999-1991

Therefore, 233 million=231 million r^(1999-1991)

(233 million/231 million)^(1/8)=r

p(y)=231 million(233 million/231 million)^((y-1991)/8)  

Therefore, in 2003   p(2003)=231 million(233 million/231 million)^((2003-1991)/8)

p(2003)=231 million(233 million/231 million)^(1.5)

p(2003)=234  million

The population in 2003 was 234  million

Answer:

C

Step-by-step explanation:

The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is

∠ ACE = [tex]\frac{1}{2}[/tex] (AE - BD ) = [tex]\frac{1}{2}[/tex] (104 - 46)° = [tex]\frac{1}{2}[/tex] × 58° = 29° → C

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Step-by-step explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius = [tex]\dfrac{25}{2}=12.5\ ft[/tex]

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle = [tex]\pi r^2[/tex]

Area of rectangle = length x width

Area of triangle = 0.5 x base x height

Area of circle = [tex](3.14)(12.5)^2=490.625\ \text{ft}^2[/tex]

Area of rectangle = 20 ft x 10ft = 200 ft²

Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²

Required area = 490.625 -200+22.75 = 313.375 ft²

Hence, The area of the regions covered by grass is approximately 313.375 sq ft.

Answer:

16

Step-by-step explanation:

its a cube, so all the sides are 16.

hope you pass surface area it has ALOT of formulas ( :

Answer:

15

Step-by-step explanation:

the yellow side without the small one is 16 but since the face of the small one is 1 we must subtract it

Answer:

FG H(2) = F*G*H(2) = 0

Step-by-step explanation:

Your  F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2 requires a bit of guesswork for the reader to understand it.  I believe you meant:

F(x) = 2x - 4; G(X) = 3x + 2; H(x)=x2 Find FG H(2)

First find F(2):  f(2) = 2(2) - 4 = 0

Because this multiplicand is zero, further multiplication will result in zero also.  Thus, the final answer is zero (0).

Answer:

I'm not completely sure but I believe it's (4^2)*12

Step-by-step explanation:

To find the amount of window panes there are, we have to find how much window pains are in each window. So we have a 4 by 4 so that's 16. Since 4 and 4 are the same numbers, we can raise 4 to the power of two to get 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes

Answer:

(4^2)*12

Step-by-step explanation:

Answer:

one cocoa pod makes 5/6 bar

to make 35 bars, he needs

35 / (5/6) = 35 * 6/5 = 42 pods

Monday - Friday is 5 days

42/5 = 8.4

Answer:it is a location

Step-by-step explanation:

The others are simply wrong

The statement that can be said to be through about point is that a point is a location.

                   A point is a location in a geometry space used in demarcating an area or region with a dot representation. It does not have any long line or an endpoint. It does not also have a length or width. It is usually used to make a notion about a specified region.

For example:  If I want to measure a distance of 6 cm. I can place my divider from the mathematical set on the meter-rule and measure out 6 cm.

Then, place 6 cm on the plain sheet to show two different dots indicating the distance of 6cm before I draw the distance of 6cm with my drawing pencil.

Learn more about a point here:

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Answer:

Sry i dont understand what ur trying to say but if ur asking what number squared will give u 16 its 4

Step-by-step explanation:

Answer:

im pretty sure the answer is 4 but i don't rlly understand the question

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Answer:

24 ft.

Step-by-step explanation:

2x12=24

Answer:

All you have to do is to divide 3 to both sides in order to get rid of 3 and to get Equation B from A.