Product A is and 8oz bottle of cough medication that's sells for $1.36. Product B is 16oz bottle of cough medication that costs $3.20. Which product has the lower unit price?

Answer:

D

Step-by-step explanation:

A: Difference means minus. A has no minuses anywhere. Not the answer.

B: Could be true if you allow irrational numbers. I'm guessing you are not allowed to give (2x - sqrt(11)y)(2x + sqrt(11)y). So B is not the answer

C: Take out the 7 as a common factor. 7(x^2 - 3y^2) If you allow C, you have to allow B so C is not the answer.

D: answer (5x - y)(5x + y)

Answer:

285  boxes are in the display

Step-by-step explanation:

Given data

top layer box = 1

last row box = 81

to find out

how many box

solution

we know that every row is a square so that if the bottom layer has 81 squares it mean this is 9² and every row has one lesser box

so that next row will have 8^2 and than 7² and so on till 1²

so we can say that cubes in the rows as that

Sum of all Squares = 9² + 8² +..........+ 1²

Sum of Squares positive Consecutive Integers formula are

Sum of Squares of Consecutive Integers = (1/6)(n)(n+1)(2n+1)  

here n = 9 so equation will be

Sum of Squares of Consecutive Integers = (1/6) × (9) × (9+1) × (2×9+1)

Sum of Squares of Consecutive Integers = 285

so 285  boxes are in the display

Answer:

Q(-2,-7)

See attachment

Step-by-step explanation:

We need to form a simultaneous equation and solve.

The point P has coordinates (1,8). Let the other point Q also have coordinate (x,y).

Then the average rate of change is the slope of the secant line connecting P(1,8) and Q(x,y) and this has a value of 5.

[tex]\implies \frac{8-y}{1-x}=5[/tex]

[tex]\implies 8-y=5(1-x)[/tex]

[tex]\implies y=5x-3...(1)[/tex]

This point Q also lies on the given parabola whose equation is [tex]y=-(x-2)^2+9...(2)[/tex]

Put equation (1) into (2) to get:

[tex]5x+3=-(x-2)^2+9[/tex]

[tex]5x+3=-(x^2-4x+4)+9[/tex]

[tex]5x+3=-x^2+4x-4+9[/tex]

[tex]5x+3=-x^2+4x+5[/tex]

[tex]x^2+x-2=0[/tex]

[tex](x-1)(x+2)=0[/tex]

[tex]x=1,x=-2[/tex]

When x=-2, y=5(-2)-3=-7

Therefore the required point is Q(-2,-7)

Answer:

Step-by-step explanation:

speed x time = distance

s (1.5) = 105

1.5s=105

s = 70mph

d(t) = 70t

Answer:

The equation that relates y and x is [tex]y=x+612 mi[/tex], and the equation that relates x and d is [tex]4d=x[/tex].

Step-by-step explanation:

Step 1: First we know that the total distance is equal to y. The distance traveled in 4 hours equals x, and the distance from point x to y equals 612 miles. Adding x to the remaining 612 miles gives the total distance y.

[tex]y=x+612 mi[/tex]

Step 2: To know the relationship between x and d, we must first raise the speed during the journey to x.

[tex]v=\frac{x}{4h}[/tex]

Then, we set the speed d e equal v:

[tex]v=\frac{d}{h}[/tex]

[tex]\frac{x}{4h} = \frac{d}{h}[/tex]

Clearing x we get:

[tex]x=4h * \frac{d}{h}[/tex]

[tex]x=4d[/tex]

Have a nice day!

The transformations resulted in image A’B’C’D’E' is:

           A(x,y) → (x-3,y-1)

The coordinates of the Point A is given by: A(-1,5)

and the coordinates of the Point A' is given by: A'(-4,4)

Let the translation be given by the rule:

              (x,y) → (x+h,y+k)

Here

(-1,5)  → (-4,4)

i.e.

-1+h= -4   and   5+k=4

i.e.

h= -4+1   and   k=4-5

i.e.

h= -3   and   k= -1

           The transformation is:

                A(x,y) → (x-3,y-1)

Answer:

f(x)=3-4 In (x-2)=graph 3

f(x)=3-In x=graph 1

f(x)=In (x+1)=graph 4

f(x)= 2In (x+3)= graph 2

Step-by-step explanation:

Use a graph tool to visualize the functions.Attached are the graphed functions respectively.

Answer:

f(x) = 3 - 4㏑(x - 2) ⇒ graph 3

f(x) = 3 - ㏑(x) ⇒ graph 1

f(x) = ㏑(x + 1) ⇒ graph 4

f(x) = 2㏑(x + 3) ⇒ graph 2

Step-by-step explanation:

* Lets look to the graphs and solve the problem

- We will use some points on each graph and substitute in the function

  to find the graph of each function

- Remember: ㏑(1) = 0 and ㏑(0) is undefined

- Lets solve the problem

# f(x) = 3 - 4㏑(x - 2)

- Let x - 2 = 1 because ㏑(1) = 0, then f(x) will equal 3

∵ x - 2 = 1 ⇒ add 2 for both sides

∴ x = 3

- Substitute the value of x in f(x)

∴ f(x) = 3 - 4㏑(3 - 2)

∴ f(x) = 3 - 4㏑(1) ⇒ ㏑(1) = 0

∴ f(x) = 3

∴ Point (3 , 3) lies on the graph

- Look to the graphs and find which one has point (3 , 3)

∵ Graph 3 has the point (3 , 3)

∴ f(x) = 3 - 4㏑(x - 2) ⇒ graph 3

# f(x) = 3 - ㏑(x)

- Let x = 1 because ㏑(1) = 0, then f(x) will equal 3

- Substitute the value of x in f(x)

∴ f(x) = 3 - ㏑(1) ⇒ ㏑(1) = 0

∴ f(x) = 3

∴ Point (1 , 3) lies on the graph

- Look to the graphs and find which one has point (1 , 3)

∵ Graph 1 has the point (1 , 3)

∴ f(x) = 3 - ㏑(x) ⇒ graph 1

# f(x) = ㏑(x + 1)

- Let x = 0 because ㏑(1) = 0, then f(x) will equal 0

- Substitute the value of x in f(x)

∴ f(x) = ㏑(0 + 1) = ㏑(1) ⇒ ㏑(1) = 0

∴ f(x) = 0

∴ Point (0 , 0) lies on the graph

- Look to the graphs and find which one has point (0 , 0)

∵ Graph 4 has the point (0 , 0)

∴ f(x) = ㏑(x + 1) ⇒ graph 4

# f(x) = 2㏑(x + 3)

- Let x + 3 = 1 because ㏑(1) = 0, then f(x) will equal 0

∵ x + 3 = 1 ⇒ subtract 3 from both sides

∴ x = -2

- Substitute the value of x in f(x)

∴ f(x) = 2㏑(-2 + 3) = 2㏑(1) ⇒ ㏑(1) = 0

∴ f(x) = 0

∴ Point (-2 , 0) lies on the graph

- Look to the graphs and find which one has point (-2 , 0)

∵ Graph 2 has the point (-2 , 0)

∴ f(x) = 2㏑(x + 3) ⇒ graph 2

Answer:

1) 18+2y+4+10+2x+10

2) 42+2y+2x

3) 42+2x=-2y

4) -1(42-2x=2y)

5) (42-2x=2y)/2

y=21-x

Step-by-step explanation:

1) Original equation

2) Combine like terms

3) Since the problem is asking to find the value of Y, Isolate it

4) Multiply by a negative to make Y positive

5) Since what we have left isn't in simplest form, divide by 2

What is left is y=21-x or y=-x+21

Answer:

Second option: 2x^10y^12

Step-by-step explanation:

Divide

60/30 = 2

When exponents are divided, it subtracts.

20 - 10 = 10

2x^10

24-12 = 12

y^12

Simplify

2x^10y^12

Answer:

Option No. 2

[tex]2x^{10}y^{12}[/tex]

Step-by-step explanation:

Given equation is:

[tex]\frac{60x^{20}y^{24}}{30x^{10}y^{12}}\\=\frac{30*2 * x^{20-10}y^{24-12}}{30}\\\\=2*x^{10}*y^{12}\\=2x^{10}y^{12}[/tex]

The rules for exponents for numerator and denominators are used. The powers can be shifted from numerator to denominator and vice versa but their sign is changed.

So, the correct answer is option 2:

[tex]2x^{10}y^{12}[/tex]

Question 9:

Answer: False

Step-by-step explanation: False. These sides will not create a triangle because the longest side equals the two other sides combined. 10=7+3. This will just be a line.

Question 10:

Answer: False

Step-by-step explanation: False. These sides will not create a triangle because the longest side equals the two other sides combined. 7=2+5. This will just be a line.

Step-by-step answer:

This is a problem involving subtraction of fractions.

To solve the problem, we find out the increase of the fraction of container and equate it to the amount of water added.  Then we find the amount of water contained in the whole container (fraction = 1)

7 gallons = 4/5 - 3/10 = 8/10 - 3/10 =5/10 = 1/2 container

therefore, multiply by two on both sides,

14 gallons = 1 container

So container can hold 14 gallons.

The volume of a 3D object is the amount of space it contains. A fish tank, for example, is three feet long, one foot wide, and two feet tall. To get the volume, multiply the length by the breadth by the height, which is 3x1x2, or six. As a result, the fish tank has a volume of 6 cubic feet.

Volume of cuboidal container- LBH

Given after poring 7 gallons tank is 4/5 full

Hence 7 gallon=4/5x

x=7*5/4=35/4gallon

Hence container can hold 35/4 gallon i.e=8.75gallon

Learn more about volume

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Answer:

So the approximate relative minimum is (0.4,-58.5).

Step-by-step explanation:

Ok this is a calculus approach.  You have to let me know if you want this done another way.

Here are some rules I'm going to use:

[tex](f+g)'=f'+g'[/tex]       (Sum rule)

[tex](cf)'=c(f)'[/tex]          (Constant multiple rule)

[tex](x^n)'=nx^{n-1}[/tex] (Power rule)

[tex](c)'=0[/tex]               (Constant rule)

[tex](x)'=1[/tex]                (Slope of y=x is 1)

[tex]y=4x^3+13x^2-12x-56[/tex]

[tex]y'=(4x^3+13x^2-12x-56)'[/tex]

[tex]y'=(4x^3)'+(13x^2)'-(12x)'-(56)'[/tex]

[tex]y'=4(x^3)'+13(x^2)'-12(x)'-0[/tex]

[tex]y'=4(3x^2)+13(2x^1)-12(1)[/tex]

[tex]y'=12x^2+26x-12[/tex]

Now we set y' equal to 0 and solve for the critical numbers.

[tex]12x^2+26x-12=0[/tex]

Divide both sides by 2:

[tex]6x^2+13x-6=0[/tex]

Compaer [tex]6x^2+13x-6=0[/tex] to [tex]ax^2+bx+c=0[/tex] to determine the values for [tex]a=6,b=13,c=-6[/tex].

[tex]a=6[/tex]

[tex]b=13[/tex]

[tex]c=-6[/tex]

We are going to use the quadratic formula to solve for our critical numbers, x.

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

[tex]x=\frac{-13 \pm \sqrt{13^2-4(6)(-6)}}{2(6)}[/tex]

[tex]x=\frac{-13 \pm \sqrt{169+144}}{12}[/tex]

[tex]x=\frac{-13 \pm \sqrt{313}}{12}[/tex]

Let's separate the choices:

[tex]x=\frac{-13+\sqrt{313}}{12} \text{ or } \frac{-13-\sqrt{313}}{12}[/tex]

Let's approximate both of these:

[tex]x=0.3909838 \text{ or } -2.5576505[/tex].

This is a cubic function with leading coefficient 4 and 4 is positive so we know the left and right behavior of the function. The left hand side goes to negative infinity while the right hand side goes to positive infinity. So the maximum is going to occur at the earlier x while the minimum will occur at the later x.

The relative maximum is at approximately -2.5576505.

So the relative minimum is at approximate 0.3909838.

We could also verify this with more calculus of course.

Let's find the second derivative.

[tex]f(x)=4x^3+13x^2-12x-56[/tex]

[tex]f'(x)=12x^2+26x-12[/tex]

[tex]f''(x)=24x+26[/tex]

So if f''(a) is positive then we have a minimum at x=a.

If f''(a) is negative then we have a maximum at x=a.

Rounding to nearest tenths here:  x=-2.6 and x=.4

Let's see what f'' gives us at both of these x's.

[tex]24(-2.6)+25[/tex]

[tex]-37.5[/tex]  

So we have a maximum at x=-2.6.

[tex]24(.4)+25[/tex]

[tex]9.6+25[/tex]

[tex]34.6[/tex]

So we have a minimum at x=.4.

Now let's find the corresponding y-value for our relative minimum point since that would complete your question.

We are going to use the equation that relates x and y.

I'm going to use 0.3909838 instead of .4 just so we can be closer to the correct y value.

[tex]y=4(0.3909838)^3+13(0.3909838)^2-12(0.3909838)-56[/tex]

I'm shoving this into a calculator:

[tex]y=-58.4654411[/tex]

So the approximate relative minimum is (0.4,-58.5).

If you graph [tex]y=4x^3+13x^2-12x-56[/tex] you should see the graph taking a dip at this point.

Answer:

C =56.52 cm

C =56.52 cm

C =56.52 cm

A =254.34 cm^2

Step-by-step explanation:

To find the circumference of a circle, we use

C = 2 * pi *r

where pi is approximated by 3.14 and r is 9

C = 2 * 3.14 *9

C =56.52 cm

To find the area of a circle, we use

A = pi *r^2

where pi is approximated by 3.14 and r is 9

A = 3.14 *9^2

A =254.34 cm^2

Your answer would be 56.52 cm (18π) for the circumference, and 254.34 cm² (81π) for the area.

The formula for the circumference of a circle is 2πr. In this case, we know that the radius is 9, so substituting it in, you get 2 * 9 * π. Solving this, we get 18π as our circumference. Your question states to use 3.14 as π, so the final step is to multiply 18 by 3.14. 18 * 3.14 = 56.52. The unit in this case would just be cm, as we are looking at circumference, or length.

The formula for the area of a circle is πr². Again, we know r = 9, so just substitute it in the equation, to get π9², which can be solved to equal 81π. Then, using 3.14 as π, we get 81 * 3.14 = 254.34 as our final answer. The unit in this case would be cm², as this is concerning area.

Hope this helps!

Answer:

1.x

2.z

3.v

Step-by-step explanation:

just took the test sorry if i'm wrong

Answer:

1.  The correct option is B.

2. The correct option is D.

3. The correct option is C.

Step-by-step explanation:

1.

Let left plane is plane (1), right plane is plane (2) and horizontal plane is plane (3).

From the given figure it is clear that plane (1) and (3) intersect each other and plane (2) and (3) intersect each other.

Point B lies on the intersection of plane (1) and (3), and line x passes through the point B.

Point A lies on the intersection of plane (2) and (3), and line w passes through the point A.

So, line x and w represent the intersection of two planes. Only line x is available in the options.

Therefore the correct option is B.

2.

Line z is the which intersect plane (1) at point C. So, z is the line that intersects one of the planes.

Therefore the correct option is D.

3.

Line y passes through A and B. Points A and B are point which are lie on the intersection of planes.

The line y has points on three of the planes.

Therefore the correct option is C.

Answer:

66

Step-by-step explanation:

11,22,33,44, and 55 are 5 consecutive multiples of 11.

11=11(1)

22=11(2)

33=11(3)

44=11(4)

55=11(5)

-----------------

You can see  consecutive multiples of 11 where we don't know the actual multiples will look like:

11n,11(n+1),11(n+2),11(n+3),11(n+4).

Now we are given the sum of the numbers I just mentioned is 220.

This means,

11n+11(n+1)+11(n+2)+11(n+3)+11(n+4)=220

Each term 11n,11(n+1),11(n+2),11(n+3),11(n+4), and 220 all have a common factor of 11 so divide both sides by 11:

1n+1(n+1)+1(n+2)+1(n+3)+1(n+4)=20

1 times anything is still just that anything:

n+n+1+n+2+n+3+n+4=20

Combine the like terms:

n+n+n+n+n+1+2+3+4=20

Simplify the combining:

5n+10=20

Subtract 10 on both sides:

5n     =10

Divide both sides by 5:

 n      =10/5

Simplify right hand side:

 n      =2

So if n=2, then the multiples of 11 in question look like this:

11n=11(2)=22

11(n+1)=11(3)=33

11(n+2)=11(4)=44

11(n+3)=11(5)=55

11(n+4)=11(6)=66

--------------------------Add up to see if sum is actually 220.

Putting into my calculator gives me a result of 220.

We are good.

Now you just have to determine what the greatest of the number 22,33,44,55, and 66 is...

The greatest listed here is 66.

The solution to the system of linear equations X + Y = 4 and 2X + 3Y = 0 is obtained using the elimination method, resulting in X = 12 and Y = -8.

To solve the system of linear equations X + Y = 4 and 2X + 3Y = 0, we can use the substitution or elimination method. Let's use the elimination method for this solution.

Therefore, the solution to the system is X = 12 and Y = -8, which corresponds to option D.

Answer:

  3/2

Step-by-step explanation:

Every coordinate of E'F'G'H' is 3/2 times that of EFGH, so the image is 3/2 times the size of the original.

___

For example, E'x/Ex = -3/-2 = 3/2; E'y/Ey = (-3/2)/-1 = 3/2.

The scale factor between quadrilateral EFGH and its image E'F'G'H' can be found by calculating the ratio of the lengths of corresponding sides. In this case, it is approximately 0.707.

In this task, we are asked to find the scale factor between a quadrilateral and its image. The scale factor can be found by dividing the lengths of corresponding sides in the image by the respective side length in the original figure.

First, let's calculate the distance between the vertices E and F in the original figure using the Euclidean distance formula: sqrt[(x2-x1)^2 + (y2-y1)^2] = sqrt[(1+2)^2 + (2+1)^2] = sqrt[9+9] = sqrt[18] = approximately 4.2426.

Then, let's do the same for vertices E' and F' in the image: sqrt[(3/2+3)^2 + (3+3/2)^2] = sqrt[(9/4 + 9/4)+(9/4 + 9/4)] = sqrt[(9/2)+(9/2)] = sqrt[9] = 3.

Your scale factor, then, is the length of EF' divided by the length of EF: 3 / 4.2426, which roughly equals 0.707.

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Final answer:

Fido's share of the total dog food, when rounded to the nearest percent, is approximately 38% after considering the 4:3 ratio with Engle for the remaining food after Denver's part.

Explanation:

The question involves calculating Fido's share of the dog food in a ratio and expressing that share as a percentage. Denver eats 2/19 of the dog food, leaving 17/19 for Engle and Fido. Engle and Fido share this remaining dog food in a ratio of 4:3. To find out what fraction of the total dog food Fido gets, we first calculate the total parts that Engle and Fido's shares make, which is 4 + 3 = 7 parts. Fido's share is 3 parts out of these 7. We then multiply the fraction of the remaining food (17/19) by Fido's share (3/7) to get Fido's share of the total dog food.

Fido's share = (17/19) * (3/7) = (17*3) / (19*7) = 51/133

Now, we convert Fido's share to a percentage:

Percentage = (51/133) * 100% ≈ 38.35%

Rounded to the nearest percent, Fido's share is approximately 38% of the total dog food.

Answer:

$13.30

Step-by-step explanation:

divide your total by the hours

$79.80/6=$13.30

Answer:

  B.  9, 9x, 18x

Step-by-step explanation:

The value in each box is the product of the row heading and column heading. You can find the missing column heading by dividing the box value (162) by the row heading (18).

Answer:

The answer is B coz its completes the factorization

Answer:

900 miles will the plane be from its port when the boat is 54 miles away from its port

Step-by-step explanation:

Given data

boat away = 6 miles

plane away = 100 miles

to find out

How many miles will plane be from port when boat 54 miles away from its port

solution

first we consider x distance while plane travel and boat travel 54 miles

from question given the equation will be

boat away from its port / plane away from its port = boat away from its port/  plane away from its port

54 / x = 6/100

solve this equation

6 × (x) = 54 × 100

x = 54 × 100 / 6

x = 900

so 900 miles will the plane be from its port when the boat is 54 miles away from its port

Answer:

  18 °F

Step-by-step explanation:

The means are calculated in the usual way: add up the numbers and divide by the number of them. When there are a bunch of numbers, it is convenient to let a calculator or spreadsheet compute the mean for you.

In the attached, we see the mean for week 1 is 52°, and in week 2, it is 70°. The mean is 70° -52° = 18° greater in week 2.

Answer:

C.

Step-by-step explanation:

The only information you really need in order to determine if this is a right triangle are the slopes of segments AB and BC.  If the slopes of these segments are opposite reciprocals of one another, then the lines are perpendicular, and the angle is a right angle (making the triangle a right triangle!).  Point A has coordinates (-5, 5), B(-3, 2), C(-6, 0).

The slope of segment AB:

[tex]m=\frac{2-5}{-3-(-5)}=-\frac{3}{2}[/tex]

The slope of segment BC:

[tex]m=\frac{0-2}{-6-(-3)}=\frac{2}{3}[/tex]

As you can see, the slopes are opposite reciprocals of one another so angle ABC is a right angle, and triangle ABC is a right triangle.  Choice C is the one you want.

Answer:

Yes, two sides are perpendicular and the side lengths fit the Pythagorean theorm

Step-by-step explanation:

Because it's the answer

Answer:

Part 1) 0.65 more than -4.35 ----------> -3.70

Part 2) 0.65 more than -4.35 ---------> 5.11

Part 3) 4.34 added to -8 ---------------> -3.66

Part 4) 9.14 added to -9.14 -------------> 0

Step-by-step explanation:

Part 1) we have

0.65 more than -4.35

The algebraic expression is equal to the sum of the number -4.35 plus 0.65

[tex]-4.35+0.65=-3.70[/tex]

Part 2) we have

1.98 added to 3.13

The algebraic expression is equal to the sum of the number 3.13 plus 1.98

[tex]3.13+1.98=5.11[/tex]

Part 3) we have

4.34 added to -8

The algebraic expression is equal to the sum of the number -8 plus 4.34

[tex]-8+4.34=-3.66[/tex]

Part 4) we have

9.14 added to -9.14

The algebraic expression is equal to the sum of the number -9.14 plus 9.14

[tex]-9.14+9.14=0[/tex]

The answer is:

If the green line has a slope of -4, the slope of the red line will also be -4.

So, the correct option is, C. -4

We need to remember that if two or more lines are parallel, they will share the same slope, no matter where are located their x-intercepts and y-intercepts, the only condition needed for them to be parallel, is to have the same slope.

So, if two lines are parallel, and one of them (the green line) has a slope of -4, the slope of the other line (the red one)will also be -4.

Have a nice day!

Each side of the square would be approximately 9.3 units long.

To predict the side length of the square when the area is 86.6 units, we need to use the model that Sam created. Sam likely developed a mathematical relationship between the area (x) and the length of one side of the square (f(x)). This relationship is typically expressed as a function, such as [tex]\( f(x) = \sqrt{x} \),\\[/tex] where [tex]\( x \)[/tex] represents the area and [tex]\( f(x) \)[/tex]represents the length of one side of the square.

In this model, the side length of the square is equal to the square root of the area. Therefore, to predict the side length when the area is 86.6 units, we substitute this value into the function:

[tex]\[ f(86.6) = \sqrt{86.6} \][/tex]

Now, we can calculate this:

[tex]\[ f(86.6) \approx \sqrt{86.6} \approx 9.3 \][/tex]

So, according to Sam's model, when the area is 86.6 units, the length of one side of the square is approximately 9.3 units. This means that if you were to draw a square with an area of 86.6 units, each side of the square would be approximately 9.3 units long.

With the function [tex](f(x) = \sqrt{x - 5} + 3\),[/tex] the predicted side length for an area of 86 is calculated by evaluating f(86).

This results in a side length of 12 units.

Therefore option b. 12 units is correct.

To find the predicted side length of a square when given the area, let's use the function provided by Sam:

[tex]\[f(x) = \sqrt{x - 5} + 3.\][/tex]

Here, x represents the area, and f(x) represents the predicted side length of the square.

Find f(x) for (x = 86):

1. Plug in[tex]\(x = 86\):[/tex]

[tex]\[f(86) = \sqrt{86 - 5} + 3 = \sqrt{81} + 3 = 9 + 3 = 12.\][/tex]

The predicted side length when the area is 86 is 12.

Given the function[tex]\(f(x) = \sqrt{x - 5} + 3\),[/tex]  the predicted side length when [tex]\(x = 86\)[/tex] is option b. 12 units.

Question : After plotting the data where x=area, and f(x)=the length of one side of the square, Sam determined the model to approximate the side of a square was f(x)= *square root sign* x-5+3 Use the model Sam created to predict the side length of the square when the area is 86.

a. 6

b. 12

c. 81

d. 144

Answer:

I'm pretty sure its 1

Step-by-step explanation:

because if y = 1. 1 by the power of 3 is 1, and y by the power 2 is 1. 1- 10 is -9 . -9 times 1 equals -9, and -9 equals -9 therefore it's a true statement

Step-by-step explanation:

y³ (y² − 10) = -9y

Move everything to one side:

y³ (y² − 10) + 9y = 0

Factor out common term:

y (y² (y² − 10) + 9) = 0

Distribute:

y (y⁴ − 10 y² + 9) = 0

Factor:

y (y² − 1) (y² − 9) = 0

Solve:

y = 0, ±1, ±3

Since y > 0, the two possible values for y are 1 and 3.

Answer: A.2x+30=90

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Answer:

  A. `x= 0`, `y= (3)/(2)`

Step-by-step explanation:

Dividing the first equation by 4 gives ...

  x = 0

Substituting that into the second equation gives ...

  3·0 +6y - 9

  y = 9/6 = 3/2 . . . . divide by 6, reduce the fraction

The solution of the set of equations is ...

  x = 0, y = 3/2

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The question here asks "what is the solution of y ?". That answer is y = 3/2.