Use the diagram to the right to name the following.

a) A line containing point F.

b) Another name for line k.

c) A plane containing point A.

d) An example of three non- collinear points.

e) The intersection of plane M and line k.

Step-by-step explanation:

First, we want to find profit given revenue and cost. Because profit = revenue - cost, we can write the profit function, P(x), as R(x) - C(x) and go from there.

P(x) = R(x) - C(x)

P(x) = (-x²+24x) - ( 10x + 30)

P(x) = -x²+24x - 10x-30

P(x) = -x²+14x-30

In a quadratic function such as this, the graph opens downward (meaning that it goes from up to down) if the leading coefficient is negative and vice versa. Here, since -1 is attached to x², we can say that the graph opens downward. The point where the direction of the slope changes (when it goes from up to down), or the peak of the quadratic, is called the vertex.

The x value of the vertex is given by -b/(2a) in a quadratic of form ax²+bx+c. As a=-1 and b=14 here, we can say that -b/(2a) =

-14/(2*-1) = -14/-2

= 7

Therefore, the x value of the vertex, or the number of containers sold that maximizes profit, is 7.

Answer:

the value of y in the equation is 60°

Answer:

y=7x

Step-by-step explanation:

because y= 4x+3=7x

Answer:

7.75

Step-by-step explanation:

(I'm assuming you need to find the missing side of the triangle)

To find missing values in a right angle. we will use the pythagoras theorem which states that:

h^2 = a^2 + b^2

16^2 = 14^2 + b^2

256 = 196 + b^2

256 - 196 = b^2

60 = b^2 (take sqaure root)

b= 7.75

Answer from Gauthmath

Answer:

Step-by-step explanation:

I replace x instead of ?.

35/35+(x+35)=(60_35)/60

.....35×60=875+25x+875

2100=1750+25x

350=25x---->x=350÷25=14....x:14

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}[/tex]

The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\longrightarrow{\green{x=12° }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ 95° + (3[tex]x[/tex] +4)° + (4[tex]x[/tex] - 3)° = 180°

➪ 3[tex]x[/tex] + 4[tex]x[/tex] + 95° + 4° -3° = 180°

➪ 7[tex]x[/tex] + 96° = 180°

➪ 7[tex]x[/tex] = 180° - 96°

➪ 7[tex]x[/tex] = 84°

➪ [tex]x[/tex] = [tex]\frac{84°}{7}[/tex]

➪ [tex]x[/tex] = 12°

Therefore, the value of [tex]x[/tex] is 12°.

Now, the three angles of the triangle are 95°, 40° and 45° respectively.

[tex]\large\mathfrak{{\pmb{\underline{\purple{To\:verify}}{\purple{:}}}}}[/tex]

✒ 95° + 40° + 45° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

Answer:

2/3

Step-by-step explanation:

140/(140+70)

=140/210

simplified

=2/3

Answer:

Step-by-step explanation:

A rational number can be written as a fraction of two integers.

√23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction.

104.42 is rational because it can be expressed as 10442/100 . We can express it as this because

104.42 * 1 = 104.42 * 100/100 = 10442/100, and multiplying something by 1 keeps it the same

√64 is rational because it is equal to 8, and 8/1 is equal to 8

49.396 with the 6 repeating is rational because we can express 49.39 as

49.39 * 1 = 49.39 * 100/100 = 4939/100, and we are then left with

49.396- 49.39 = 0.006 (with the 6 repeating). A repeating decimal can be expressed as x/9, with the x representing all values before the repetition begins multiplied by 10.

For example, 0.6 with the 6 repeating can be represented as 6/9. This is because 0.6 * 10 = 6, and we divide that by 9. Similarly, 0.006 with the 6 repeating can be represented by 0.06/9

We add the two fractions together to get

4939/100 + 0.06/9

multiply both fractions by the other's denominator to even them out and make the numerator of the second fraction an integer

(4939*9)/(100*9) + (0.06*100)/(9*100)

= 44451/900 + 6/900

= 44460/900

Assuming that the last number has only the digits given, that is rational because, similarly to 104.42, it can be multiplied by a power of 10 to result in (integer)/(integer), making it rational. If the dots represent infinite digits, then it is not rational because there are infinite digits that are not repeating, and there is no way to know the last digit, so it is impossible to write a fraction from it

Answer:

Sale price of first Mover = $ 152.1.

Sale price of second mover = $ 70

Mowers - R - Us store is economical place.

Step-by-step explanation:

Cost of first Mover = $ 169 and discount is 10%

Cost of second Mover = $ 210 and the sale is 1/3.

So, the effective cost of first Mover = $ 169 - 10 % of $ 169 = $ 169 - $ 16.9

= $152.1

So the effective cost of second Mover = 1/3 of $ 210 = $ 70

So, the second store is the economical place.  

Answer:

Zukile has 105, Adam has 45, Siya has 90

Step-by-step explanation:

Not sure how right this is, but I did: 240=2x+x+(60+x)

Simplify to: 240=60+4x

Simplify to: 180=4x

Simplify to: 45=x

Answer:

1) -0.669

2) -0.669

3) 0.669

Step-by-step explanation:

Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.

Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.

Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.

If theta=70:

1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.

2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.

3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.

Answer:

Please find the complete question in the attached file.  

Step-by-step explanation:

All three functions are defined as follows:

For function 1:

The module on the absolute value function instance example also is known as this function:

[tex]f(x)=|x| \ \left \{ {{x, \ \ x>0} \atop {-x \ \ <0}} \right.[/tex]

This is [tex]f(x)= x, \ \ x<0[/tex] in the following diagram.

For function 2:

It is an algebraic function of in this function

It also is a quadratic polynomial functional with a [tex]y=x^2, \ \ x>0[/tex] value.

For function 3:

The cubic polynomial equation is evaluated for in this function

The value of the graph is:

[tex]y=-x^3 \ \ \ \ and\\\\\to y= f(x)\\\\\to y= -f(x)\\\\[/tex]

Answer:

O

Step-by-step explanation:

We can answer this by using the process of elimination

We want to find the position of 0.5

So let's begin

Looking at the number line...

D and E are both in between negative numbers

0.5 is not a negative number so immediately we can eliminate D and E

So it is between O and M

O is between 0 and 1

.5 is between 0 and 1 so O might be the answer

However let's look at M just to be safe.

M is located between 3 and 4.

Both 3 and 4 are greater than .5 meaning that M cannot represent .5

So we can conclude that O is the best answer

Answer:

The quantity of loaves left in the bag is 3/4.

Step-by-step explanation:

Carlos bought a certain amount of loaves, put 1/4 of that amount on his tray and left the rest of the loaves in the bag. How many loaves did Carlos leave in the bag?

Quantity of loaves in tray is 1/4

So, the quantity of loaves in the bag is

[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]

Answer:

12x+1

Step-by-step explanation:

8x+3+4x-2

8x+4x+3-2

Arranging Like terms

12x+1

Adding Like terms (8x+4x) and Substracting numbers ! ++- = - So we substrate it and in addition we don't change symbols so 3 is greatest number so we write + there !

Answer:

Step-by-step explanation:

This is a geometric means problem involving the height of 9. 9 is the geometric mean because it is the height of both ΔCFD and ΔEFD. Set up the problem accordingly:

[tex]\frac{5}{9}=\frac{9}{2x+3}[/tex] and cross multiply:

81 = 5(2x + 3) and

81 = 10x + 15 and

66 = 10x so

x = 6.6

Now we will plug that value in for x to find the length of DE:

2(6.6) + 3 = 16.2 units

Answer:

-10 and - 2x

The x is unknown number so, we don't know which one if -2x or -10 is greater.

Answer:

C and D

Step-by-step explanation:

Given

x² + 2x = 3 ( subtract 3 from both sides )

x² + 2x - 3 = 0 ← in standard form

Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)

The factors are + 3 and - 1 , since

3 × - 1 = - 3 and 3 - 1 = + 2 , then

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3 → D

x - 1 = 0 ⇒ x = 1 → C

Answer:

152 inches

Step-by-step explanation:

P = 2 l + 2 w,

We know the length is 48 and width is 28

P = 2 *48 + 2 *28

P = 96+56

P =152

Given that,

→ Length is 48 inches.

→ Width is 28 inches.

We have to find,

The perimeter of the tabletop.

The formula we use,

→ P = 2(L) + 2(W)

Then find the perimeter of the tabletop,

→ 2(L) + 2(W)

→ (2 × 48) + (2 × 28)

→ 96 + 56

→ 152 inches

Thus, the perimeter is 152 inches.

Answer:

605.5

Step-by-step explanation:

When you do a frequency table for this question,the zigma F becomes 2 and the zigma fx becomes 1211.Because you will multiply the marks by the frequency to get the zigma fx so after getting them you add it.Which becomes 403+808=1211.the formula for finding the mean too is zigma fx/zigma f: 1211/2=605.5

9514 1404 393

Answer:

  (–3, 0) and (1,0)

Step-by-step explanation:

The x-intercepts are where the curve crosses the x-axis. Your problem statement tells you ...

  "crosses the x-axis at (negative 3, 0) and (1, 0)"

This means the x-intercepts are (-3, 0) and (1, 0).

Answer:

The answer would be B= (–3, 0) and (1,0)

Answer:

i believe the answer is N=1

Answer:

3/2y -5

Step-by-step explanation:

− 1/2​ (−3y+10)

Distribute

-1/2 * -3y + -1/2(10)

3/2y -5

Answer:

12

Step-by-step explanation:

Rectangle : Let length = b & width = a

PQ = QR = 6

LR = QR - PL = 6 - a

ΔPQR ~ ΔMLR

In similar triangles, corresponding sides are in same ratio.

[tex]\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}[/tex]

[tex]1 =\frac{a}{6-b}[/tex]

6 - b = a

6 = a + b

a +b = 6

Perimeter of rectangle = 2*(length +width}

       = 2*(a+ b)

       = 2 * 6

       = 12  

Answer:

E

Step-by-step explanation:

I believe it should be E because it uses parallel lines

Answer:

00000000.1

Step-by-step explanation:

1+1=2-1%000.1

Answer:

25

Step-by-step explanation:

8b^2 +2a(4c-b)

Let a = 1/4 b=2 c= -3

8 ( 2)^2 +2(1/4) ( 4*-3 -2)

Parentheses first

8 ( 2)^2 +2(1/4) ( -12 -2)

8 ( 2)^2 +2(1/4) ( -14)

Then exponents

8 ( 4) +2(1/4) ( -14)

Then multiply

32 -7

Subtract

25

Answer:

The proportion of 1s received at the end of the channel is of 0.598.

Step-by-step explanation:

In this question:

60% of the bits sent are 1, 100 - 60 = 40% of the bits sent are 0.

For each bit receive, 0.01 probability of an error, so 0.99 probability it is correct.

a. What is the proportion of 1s received at the end of the channel?

99% of 60%(sent 1s, received 1).

1% of 40%(sent 0s, received 1). So

[tex]p = 0.99*0.6 + 0.01*0.4 = 0.598[/tex]

The proportion of 1s received at the end of the channel is of 0.598.