2. Consider the following graph of a quadratic function.
a Doline the domain
b. Define the range
c. Where is the graph increasing
d. Where is the graph decreasing
. Identify any relative maximums.
1 Identily any relative minimums

10 points!!!

Answer:

Price of Candle: 12.5

Price Wallflower: 5

Price of Lotion: 8

Step-by-step explanation:

Let cost of a candle = [tex]x[/tex]

Let cost of a wallflower = [tex]y[/tex]

Let cost of a lotion = [tex]z[/tex]

Cost of 4 candles = 4[tex]x[/tex]

Cost of 5 wallflowers = 5[tex]y[/tex]

Cost of 6 lotions = 6[tex]z[/tex]

Cost of 2 candles = 2[tex]x[/tex]

Cost of 3 wallflowers = 3[tex]y[/tex]

Cost of 1 lotion = [tex]z[/tex]

As per question statement:

[tex]4x+5y+6z=123 .... (1)\\2x+3y+z=48 ...... (2)\\z=2y-2 ..... (3)[/tex]

Using equation (3) in (1) and (2), the equations get reduced to :

[tex]\Rightarrow 4x+17y = 135 ..... (4)\\\Rightarrow 2x+5y = 50 ..... (5)[/tex]

Multiplying (5) with 2 and subtracting from equation (1):

[tex]7y = 35\\\Rightarrow y = 5[/tex]

By equation (3):

[tex]\Rightarrow z =8[/tex]

By equation (4):

[tex]\Rightarrow x = 12.5[/tex]

Therefore, the answer is:

Price of Candle: 12.5

Price Wallflower: 5

Price of Lotion: 8

Answer:

[tex]Width = 5x + 1[/tex]

Step-by-step explanation:

Given

[tex]Area = 10x^2 + 5x[/tex]

[tex]Length = 5x[/tex]

Required (Missing)

Determine the Width?

Area is calculated as:

[tex]Area = Length * Width[/tex]

Substitute values for Area and Length

[tex]10x^2 + 5x = 5x * Width[/tex]

Factorize the right hand side

[tex]5x(5x + 1) = 5x * Width[/tex]

Divide both sides by 5x

[tex]5x + 1 = Width[/tex]

Hence, the width of the model is 5x + 1

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = 7x - 8 → (1)

y = 5x - 2 → (2)

A

Solving by substitution

Substitute y = 7x - 8 into (1)

7x - 8 = 5x - 2 ( subtract 5x from both sides )

2x - 8 = - 2 ( add 8 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(3) - 8 = 21 - 8 = 13

Solution is (3, 13 )

B

The point of intersection of the graph of the 2 equations is the solution to the above equations.

That is point of intersection = (3, 13 )

Answer:

Estimated amount of pencils = 2040 pencils

Exact amount of pencils = 2160 pencils

Step-by-step explanation:

Estimated amount of pencils are calculated by:

rounding up the numbers to the nearest tens

large box= 144 pencils = 140 pencils

small box = 24 pencils = 20 pencils

Estimated number of pencils =

(12 × 140) + (18 × 20)

= 1680 + 360

= 2040 pencils

This is an underestimate

The exact number of pencils is calculated as:

(12 × 144 pencils ) + (18 × 24 pencils)

= 1728 pencils + 432

= 2160 pencils

Answer:

k=9

HOPE THIS IS CORRECT!

Answer:

k =9

Step-by-step explanation:

I'm just built different

Answer:

x = -3

Step-by-step explanation:

3x + 10 -10 = 1 - 10

3x = -9

3x / 3 = -9/3

x = -3

Answer: tell him " your way doesnt work many people have the same issue so im doing it my way"

Step-by-step explanation:thats job done

Answer:

81

Step-by-step explanation:

[tex] \sqrt{x} + 3 = 12 \\ \\ \sqrt{x} = 12 - 3 \\ \\ \sqrt{x} = 9 \\ \\ {( \sqrt{x} )}^{2} = {(9)}^{2} \\ \\ x = 81[/tex]

81 is the  solution to the equation √x+3=12

Two or more expressions with an Equal sign is called as Equation.

The given equation is √x+3=12

Square root of x plus three equal to twelve

√x+3=12

Subtract three from both sides

√x+3-3=12-3

√x=9

Square on both sides

√x²=9²

The root and square will gets cancelled

x=81

Hence, 81 is the  solution to the equation √x+3=12

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

The mean is the most common measure of center. It is what most people think of when they hear the word "average". However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution. The median is the value in the center of the data.

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

z = whole root (x^2 + 9)

Answer:

x intercept: (4,0)

y intercept: (0,2 1/2)

Step-by-step explanation:

x intercept is (4, 0) and y intercept is (0,5/2) of the graph of 5x+8y=20

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

5x+8y=20

8y=-5x+20

Divide both sides by 8

y=-5/8x+20/8

y=-5/8x+5/2

Now put x=0 to find y intercept

y=5/2

Now put y=0 to find x intercept

-5/2=-5/8x

4=x

Hence, x intercept is (4, 0) and y intercept is (0,5/2).

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

Step-by-step explanation:

If two lines are perpendicular then the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = 14x - 2   ⇒   m₁=14

14×m₂ = -1        ⇒    m₂ = -¹/₁₄

The line y=-¹/₁₄x+b passes through point (3, 3) so the equation:

3 = -¹/₁₄×3 + b must be true

3 = -³/₁₄ + b

b = 3³/₁₄

Therefore equation in  slope-intercept form:

                                                y = -¹/₁₄x + 3³/₁₄

Answer:

-2x+9

This is the answer you are looking for

YOUR WELCOME! :D

Answer:

12 meters

Step-by-step explanation:

Area of square = 144 Sq m

[tex]side \: of \: square = \sqrt{144} \\side \: of \: square = 12 \: m \\ \\ perimeter \: of \: square \: \\ = 4 \times 12 \\ = 48 \: m \\ \\ perimeter \: of \: square \: with \: \\ side \: 9 \: m \\ = 4 \times 9 \\ = 36 \: m \\ \\ diference \: in \: perimeters \\ = 48 - 36 = 12 \: m[/tex]

Answer:

angle t is 55 degrees

Step-by-step explanation:

Here's my work:

Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110

110/2=55 (two because those are the two angles associated with the equal sides)

The probability that the team will win the second game given that they have already won the first game is 7/10

Event win in the 1st game is represented with A

Event win in the 2nd game is represented with B

In the question

i. The probability that they will win both games is P(AnB) = 42%

ii. The probability that they will win the first game is P(A) = 60%

The probability that the team will win the second game given that they have already won the first game is:

P(B/A) = P(BnA) / P(A)

P(B/A) = P(AnB) / P(A)

From the question

P(B/A) = 42% / 60%

P(B/A) = 0.42 / 0.60

P(B/A) = 7/10

In conclusion: The probability that the team will win the second game given that they have already won the first game is 7/10

See related question here https://brainly.com/question/23423241

Answer:

25 is a rational number

Step-by-step explanation:

This is because, a rational number needs to be in p/q form, where q ≠ 0

This is possible for 25, 25 in p/q form =

25/1

If my answer helped, kindly makr me as the brainliest!!

Thank You!!

Answer:

all of them.

Step-by-step explanation:

Hope this helps!

<3

~nxmbus

Answer:

The answer is 286.

Explanation:

We first find the first term of the sequence, a₁. We use the explicit formula for an arithmetic sequence to do this:

We know the 6th term is 22; this means we substitute 6 in for n. We also know the common difference is 6, so we use that for d. That gives us a₆=a₁+6(6-1).

We know the value of the sixth term is 22, so we use that instead of a₆:

22=a₁+6(6-1).

Evaluating this, we have

22=a₁+6(5)

22=a₁+30.

Subtract 30 from both sides, and we have

22-30=a₁

-8=a₁.

We now use this value in our explicit formula:

To find the fiftieth term we replace n with 50:

a₅₀= -8+6(50-1)

a₅₀= -8+6(49)

a₅₀= -8+294

a₅₀=286

Answer:

Step-by-step explanation:

Translation right or left means change of the x-coordinate.  

Translation up or down means change of the y-coordinate.

Translation right or up means adding.

Translation left or down means  subtracting.

[tex]A=(x_A, y_A)\quad\rightarrow\quad B=(x_A+4,\,y_A-4)\\\\x_A+4=12\qquad\qquad y_A-4=-7\\\\x_A=12-4\qquad\qquad y_A=-7+4\\\\x_A=8\qquad\qquad\qquad y_A=-3\\\\A=(8,-3)[/tex]

Answer:

Step-by-step explanation:

Perimeter is:

Comparing the value:

Are formula:

Replacing values:

Answer:

60cm²

Step-by-step explanation:

To find :-

We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .

→ 2x - 4 +5x - 13 + x + 9 = 40cm .

→ 8x - 8 = 40cm

→ 8x = 40+8 cm

→ 8x = 48 cm

→ x = 6cm .

We know that the area of the triangle is half the product of base and height .

→ A = 1/2 × b × h

→ A = 1/2 × 8cm × 15cm

→ A = 60cm²

Answer:

330cm^3

Step-by-step explanation:

22 only has 2 factors 11&2. So take 11•2•15=330 Doing it as 22•1•15 works as well.

Answer:

1.) -t (r - s)

   -3 (-6 - 3)

   16 + 6

   22

2.) B

   A linear equation consists of y = slope + y-intercept (y = mx +b). In this case, the slope will rise by 1 and run (right) by 1.

3.) I`m sorry I`m not too sure about this one

I hope the first couple helped, I`m sorry I don`t know the last one.

Answer:(1, 1)

Step-by-step explanation:

u just move it 4 left and 3 up cuz x is left and right and its negative so left, then y is up and down and it's positive so up

Answer:

is there a picture????

Answer:

x=-28

Step-by-step explanation:

Subtract 19 from both sides.

-9 -19 = -28

Answer:

-28

Step-by-step explanation:

you need to get x by itself, so subtract 19 on each side. -9-19= -28