Write an equation for the line that passes through the points (0,-6) and (-3,0). HELP

Using the vertex of the quadratic function, it is found that his maximum profit is of $75 when he charges $15 for a key-chain.

A quadratic equation is modeled by:

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

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the function is:

[tex]f(x) = (x - 10)(60 - 3x)[/tex]

In standard format, it is given by:

[tex]f(x) = -3x^2 + 90x - 600[/tex]

Which means that it's coefficients are a = -3, b = 90, c = -600.

Hence:

[tex]x_v = -\frac{90}{2(-3)} = 15[/tex]

[tex]y_v = -\frac{90^2 - 4(-3)(-600)}{4(-3)} = 75[/tex]

Hence, his maximum profit is of $75 when he charges $15 for a key-chain.

More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967

Answer:

Step-by-step explanation:

Answer:

Yes?

Step-by-step explanation:

It does depend, though 4.8/0.9 is 5.3 repeating, and you can't write that out so yes 5 is best, though it depends.

Answer:

bike: 4,800cm

go-cart: 3000cm

skateboard: 2743.2cm

scooter: 2590.8cm

Step-by-step explanation:

1) keep in mind: 100in=254cm 12 in=1ft

skateboard: 90ft=1080in=2743.2cm

scooter: 1020in=2590.8cm

bike: 4,800cm

go-cart: .03km=30m=3000cm

Fastest to slowest: bike, go-cart, skateboard, scooter

Answer:

0.53

Step-by-step explanation:

You just have to know the placements.

Answer:

15°

Step-by-step explanation:

Hi there bud,

A right angle is 90° as you might know. So with the given information we have the angle divided into 2 parts.

1st part value : 30°

2nd part value : 4x

so we have to find the value of 4x

=== 30 + 4x = 90

moving 30 to the rhs we get

4x=60

x==60/4

x = 15°

Please mark me as brainliest if you found this helpful. Good day ahead.

Best wishes,

Dan

Answer:

y = -x - 2

Step-by-step explanation:

slope intercept form is y = mx+b where y = 1

so subtract x from each side. y = -x -2 and there is your answer

Answer:

y=mx+b.y=-x+2

Step-by-step explanation:

I'm pretty sure that's right lmk

Answer:

-2/3

Step-by-step explanation:

Y2-Y1= -2

X2-x1 =3

Y/x= slope

Answer:

  see attachments

Step-by-step explanation:

The solutions to the two systems of inequalities are probably best represented on a graph. In each case, the boundary line of the solution area will be dashed, indicating the values on the line are not part of the solution. The doubly-shaded area is the solution space.

see the first attachment

x=-3 is a vertical line; 6x +4y < -8 has x-intercept -4/3 and y-intercept -2. The slope of the line is -3/2.

__

see the second attachment

y = 3 is a horizontal line; 2x -3y < -3 has x-intercept -3/2 and y-intercept 1. The slope of the line is 2/3.

Answer:

[tex]286654464[/tex]

Step-by-step explanation:

first, write the equation:

[tex](2^{9}*3^{5} )*(2^{4} *3)^{2}[/tex]

solve in the parentheses from left to right:

[tex](2^{9} *3^{5} )[/tex]

solve for [tex]2^{9}[/tex]:

[tex]2*2*2*2*2*2*2*2*2=512[/tex]

then solve for [tex]3^{5}[/tex]:

[tex]3*3*3*3*3=243[/tex]

So the equation will be as:

[tex](512*243)*(2^{4} *3)^{2}[/tex]

simplify:

[tex]124416*(2^{4} *3)^{2}[/tex]

solve for [tex](2^{4} *3)^{2}[/tex]:

[tex]2*2*2*2=16\\(16*3)=48[/tex]

complete equation:

[tex]124416*(48)^{2}[/tex]

the answer will be:

[tex]124416*(48)^{2} =\\124416*48*48=\\286654464[/tex]

Answer:

P 1461.75

Step-by-step explanation:

To find how much she needs, you need to find the difference between the 2 numbers.

4998.50 - 3536.75 = 1461.75

Hope this helps

The (S, S, S) condition is fulfilled. The ΔABC and ΔEFG are congruent to each other. Then the correct option is A.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

We can measure the dimension of the triangle with the help of a ruler and protector.

In triangles, ΔABC and ΔGEF.

The side of AB is equal to EF, the side BC is equal to FG, and the side AC is equal to GE.

Since the (S, S, S) condition is fulfilled.

Thus, the ΔABC and ΔEFG are congruent to each other. Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

The answer is D.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

They're made up of two 30 degree angles so it's 60 because 30 + 30 = 60.

The volume of the oil is 18.0864 that is filled at a rate of $22 then the cost to fill the drum of oil is $397.9.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Given

A drum of oil has a height of 4 feet and a radius of 1.2 feet.

The oil costs $22 per cubic foot.

We know the volume of the cylinder

[tex]\rm Volume = \pi r^2h\\\\Volume = \pi *1.2^2 * 4\\\\Volume = 3.14 *1.44*4\\\\Volume = 18.0864[/tex]

The cost to fill the drum of oil will be

cost to fill the drum of oil = 22 x 18.0864

cost to fill the drum of oil = 397.9

Thus, The cost to fill the drum of oil is $397.9.

More about the geometry and cylinder link is given below.

https://brainly.com/question/88625

Answer:

2.333333..... (2.3 repeating)

Answer:

His total run is approximately 3.37 miles.

Step-by-step explanation:

Let F represents his starting point, C represents his position from where he went to east direction and H represents his position from where he went to left towards Florida Avenue.

Thus, according to the question,

FC = 0.75 miles,

CH = 1.2 miles,

By making the diagram,

∠FCH = 90°,

By Pythagoras theorem:

Hence, the total distance he covered = FC + CH + FH

= 0.75 + 1.2 + √2.0025

= 3.36509716981

≈ 3.37 miles.

Answer:

There are 26 plants left

Step-by-step explanation:

His dog dug up four rose

15 - 4 = 11

- and half the daisies

6 / 2 = 3

11 + 12 + 3 = 26 plants left

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

[tex] \\ \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \\ \\ [/tex]

We know:

[tex] \\ [/tex]

[tex] \bigstar \boxed{ \rm Area \: of \: circle \: = \pi {r}^{2} }[/tex]

[tex] \\ \\ [/tex]

So:-

[tex] \dashrightarrow\sf A= \pi {r}^{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf A=\pi \times {8}^{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf A= \pi \times 8 \times 8[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf A= \pi \times 64[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf A= 64\pi \: ft {}^{2} [/tex]

[tex] \\ \\ [/tex]

Therefore option A is correct

[tex]\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}[/tex]

Answer:

answer is 6 for x

Step-by-step explanation:

Answer:

f(g(x)) = g(f(x)) = x

which is the same as

(f ° g)(x) = (g ° f)(x) = x

Step-by-step explanation:

If the functions are inverses of each other, they will yield just x when they are composed together. Being inverses is like one function "UNDOES" the other (this is not a technical term).

Answer:

it's D!!!!!!!

Step-by-step explanation:

Answer:

A is your answer because you would need divide 117 by 6 then add 6.95 to each appetizer to get 26.45.

Answer:

if i read the question correctly the hairdresser cuts off 4 inches

Step-by-step explanation:

32 inches is the total length of her hair

so 4 inches off the total length means 32 - 4 which is 28 inches

so the hairdresser cuts off 4 inches and now she has 28 inches of hair left

The barber cut 4 inches of hair out of 32 inches of hair.

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

Here,
Abigail has lovely, lustrous black hair that is 32 inches long. She asks the hairdresser to cut off 4 of the total length of her hair.
So barber cut the 4-inch out of 32 inch

Thus, the barber cut 4 inches of hair out of the 32 inches of hair.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

1)

[tex]\displaystyle\\\frac{1}{3} ;\frac{1\times2}{3\times2} =\frac{2}{6} ;\frac{4}{12} \\\\\frac{2\div2}{4\div2} =\frac{1}{2} ;\frac{2}{4} ;\frac{2\times2}{4\times2} =\frac{4}{8}[/tex]

2)

[tex]\displaystyle\\\frac{1}{12} ;\frac{1\times2}{12\times2} =\frac{2}{24} ;\frac{3}{36} \\\\\frac{2\div2}{12\div2} =\frac{1}{6} ;\frac{2}{12};\frac{1\times3}{6\times3} =\frac{3}{18} \\\\\frac{1}{4} ;\frac{1\times2}{4\times2}=\frac{2}{8} ;\frac{3}{12}[/tex]

Answer:

45% of students prefer vanilla ice cream.

Step-by-step explanation:

549 + 671 = 1220 total students

549 / 1220 = 0.45 or 45%

Answer:

81.82 or 122.22 one of them sorry I'm not very specific :0

Step-by-step explanation:

Answer:

b*52

Step-by-step explanation:

Answer:

Look at explanation.

Step-by-step explanation:

10*10 = 100

25 = 100/4

7*3+3=25-1

21+3=25-1

24=24

6*3=16/2

18 is not equal to 8

27 - 20 = 9-2

7 = 7.

Answer:

(a) False

(b) True

(c) True

(d) Tue

(e) False

(f) True

Step-by-step explanation:

[tex]\large \boldsymbol{\sf (a)\ 15 + 5 = 30}[/tex]

[tex]\large \boxed{\begin{minipage}{2.2 cm}\begin{aligned}\sf 15 + 5 & = \sf 30\\\sf 20 & = \sf 30\end{aligned}\\\\\implies \textsf{False}\end{minipage}}[/tex]

..................................................................................................................................................

[tex]\large \boldsymbol{\sf (b)\ 5 (7) - 3 = 32}[/tex]

[tex]\large \boxed{\begin{minipage}{2.48 cm}\begin{aligned}\sf 5 (7) - 3 & = \sf 32\\\sf 35 - 3 & = \sf 32\\\sf 32 & = \sf 32\end{aligned}\\\\\implies \textsf{True}\end{minipage}}[/tex]

..................................................................................................................................................

[tex]\large \boldsymbol{\sf (c)\ 25 = \dfrac{10^2}{4}}[/tex]

[tex]\large \boxed{\begin{minipage}{1.8 cm}\begin{aligned}\sf 25 & = \sf \dfrac{10^2}{4}\\\sf 25 & = \sf \dfrac{100}{4}\\\sf 25 & = \sf 25\end{aligned} \\\\\implies \textsf{True}\end{minipage}}[/tex]

..................................................................................................................................................

[tex]\large \boldsymbol{\sf (d)\ 7 (3) + 3 = 5^{2} - 1}[/tex]

[tex]\large \boxed{\begin{minipage}{3.2 cm}\begin{aligned}\sf 7 (3) + 3 & = \sf 5^2 - 1\\\sf 21 + 3 & = \sf 25 - 1\\\sf 24 & = \sf 24\end{aligned}\\\\\implies \textsf{True}\end{minipage}}[/tex]

..................................................................................................................................................

[tex]\large \boldsymbol{\sf (e)\ 6 (11 - 8) = \dfrac{16}{2}}[/tex]

[tex]\large \boxed{\begin{minipage}{2.8 cm}\begin{aligned}\sf 6 (11 - 8) & = \sf \dfrac{16}{2}\\\sf 6 (3) & = \sf 8\\\sf 18 & = \sf 8\end{aligned}\\\\\implies \textsf{False}\end{minipage}}[/tex]

..................................................................................................................................................

[tex]\large \boldsymbol{\sf (f)\ 3^{3} - 4(5) = |-9| - 2}[/tex]

[tex]\large \boxed{\begin{minipage}{3.88 cm}\begin{aligned}\sf 3^3 - 4 (5) & = \sf |-9| - 2\\\sf 27 - 20 & = \sf 9 - 2\\\sf 7 & = \sf 7\end{aligned}\\\\\implies \textsf{True}\end{minipage}}[/tex]

Answer:

"y" would be 120 degrees.  The image is a parallelogram.

Step-by-step explanation:

Answer:

There are 12 red marbles

Answer:

44.11940299 this is the answer