Just an answer and a simple explanation. Please and Thank you!

[tex] \longrightarrow f( \rm x) = (x - 4)(x + 4)[/tex]

[tex] \\ \\ [/tex]

[tex] \longrightarrow f( \rm x) = {(x)}^{2} - {(4)}^{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \longrightarrow f( \rm x) = {x}^{2} - 16[/tex]

Formula used = (a + b) (a - b) = a² - b²

Answer:

$6.75 per pound

Step-by-step explanation:

$54 ÷ 8lb = $6.75/lb

or a 1:6.75 ratio/rate

The model to write the rate for this situation is 54 / 8 and the rate is $6.75.

Unit rate is the amount of one quantity for a unit amount of the other quantity.

In other words it compares 1 unit of some quantity with different amount of another quantity.

Given that,

A catering company sells an 8 lb container of food for $54.

We have to find the unit rate for the given situation.

Price for 8 lb container of food = $54

Price for 1 lb container of food = 54 / 8

                                                   = $6.75

This is the required rate, which means that price for 1 lb container of food is $6.75.

Hence, the unit price for the food sold by catering company is $6.75.

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Answer:

90

Step-by-step explanation:

2^a=√64   2^a=8   a=3

b/3=3   b=3*3   b=9

a²+b²=3²+9²=9+81=90

Answer:

D

Step-by-step explanation:

Cubic equation: an algebraic equation of degree three and of the form

[tex]ax^3 + bx^2 + cx + d = 0[/tex], where a, b and c are the coefficients and d is the constant.

If the leading coefficient [tex]a[/tex] of a cubic equation is positive, the curve begins in quadrant III and ends in quadrant I

If the leading coefficient [tex]a[/tex] of a cubic equation is negative, the curve begins in quadrant II and ends in quadrant IV

For information

Graph A = cubic function with positive leading coefficient

Graph B = quadratic function with positive leading coefficient

Graph C = quadratic function with negative leading coefficient

Graph D = cubic function with negative leading coefficient

Therefore, if you made the leading coefficient of [tex]f(x)=x^3+3x^2[/tex] negative, it would be graph D.

Answer:

D graph D

Step-by-step explanation:

Answer:

I hope this helps you:)

Step-by-step explanation:

this is your answer...........

Answer:

f(-2)= -6

Step-by-step explanation:

Hope this helps :)

Answer:

f(-2)=-6

Step-by-step explanation:

cause

Answer:

traingle

Step-by-step explanation:

back in the 6 grade i got the bad grades i was in love with my tutor

Answer:

y=mx+c

7,3

3=0×7+c

c=3

y=0x+3

Answer:

732 + 100 = __

Step-by-step explanation:

732 - 100 = 632

732 + 100 = 832

732 = 632 + 100

732 - 632 = 100

According to the rate of change, it is found that the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.

The average rate of change of a function is given by the change in the output divided by the change in the input.

In this problem, it is stated that at the top of the mountain, the average rate of change is of -2.5 ºC per hour, and at the bottom of the mountain the rate is the same, hence the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.

You can learn more about average rate of change at brainly.com/question/26420851

Answer:

69.12ft

Step-by-step explanation:

I'm

pretty sure

Answer:

7 games

Step-by-step explanation:

22 / 3 =

7.33

Mckenzie can buy 7 games

Answer: -141 I think

Step-by-step explanation:

6000

Step-by-step explanation:

[tex]16t ^{2} - 80t[/tex]

substitute t to 5(seconds)

[tex]16(5) ^{2} - 80(5) \\ 6400 - 400 \\ = 6000[/tex]

Answer:

1232 yan po tamang sagot

you need to divide 1600 to 50% it will be 800

now you have to add 800 to 27% the answer will be 1232

now the finall answer will be 1232

so in the 1600 seats the 77% of children is 1232

#carry on learning

Answer:

$5.50

Step-by-step explanation:

22.5/15= 1.5

each necklace costs $1.50

$5.5 x 15(necklaces)=$82.5

82.5-22.5(cost of making all the necklaces)=$60

Answer:

[tex]x=\frac{7}{30}[/tex]

Step-by-step explanation:

Given the following question:

[tex]x+\frac{2}{3} =\frac{9}{10}[/tex]

In order to find the answer to this question we need to subtract 9/10 from 2/3. To do this we need to find the common denominator, and then subtracting the numerators.

[tex]\frac{9}{10} -\frac{2}{3}[/tex]
[tex]\frac{9}{10} \times3=\frac{27}{30}[/tex]
[tex]\frac{2}{3} \times10=\frac{20}{30}[/tex]
[tex]27-20=7=\frac{7}{30}[/tex]
[tex]x=\frac{7}{30}[/tex]

Hope this helps.

Answer: 20

Step-by-step explanation:

15 divided by 3 equals 5 and 15 plus 5 equals 20.

Answer:

undefined.

explanation:

→ [tex](5+5-5-5) / ( 2+2+2-6)[/tex]        

                           [ things inside the brackets are necessary to work out first ]

→ [tex](10-10) / (6 - 6 )[/tex]

→ [tex]\frac{0}{0}[/tex]

→ undefined.

                              [ as [tex]\frac{x}{0}[/tex] is undefined ]

[tex] \boxed{ \sf Answers \: is \: 0}[/tex]

Hope Helps! :)

Answer:

the answer to this question is 1

Answer:

x = 9/4  (2.25)

Step-by-step explanation:

[tex]\frac{3}{x} =\frac{8}{6}[/tex]

[tex]x=\frac{(6)(3)}{8} =18/8=9/4[/tex]

Hope this helps

It can be deduced from the multiplication that the minimum number of water stations for this race will be 28.

Your information isn't complete as the figures aren't provided. Therefore, an overview will be given.

In this case, let's assume that there are 14 routes and that there will be a water station at the beginning and end of the routes.

From the scenario, if the racers are to run through all the routes, the number of water stations will be the value of 14 multiplied by 2. This will be:

= 14 × 2 = 28

In conclusion, the correct option is 28.

Learn more about multiplication on:

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Answer:

y = -4x + 14

Step-by-step explanation:

We'll use the slope intercept form: y = mx + b

It is given that the slope of -4, so m will be -4 like this: y = -4x + b

We are also given the coordinates where x = 3 and y =2

2 = -4(3) + b

2 = -12 + b

Add 12 to both sides

2 = -12 + b

+ 12  + 12

b = 14

We end up with y = -4x + 14

Answer:

(-4(x-2))/((x+2)|(x-4)|)

Step-by-step explanation:

You were so close. I stared at your problem for a

long time when you first posted it. I used a graphing utility to experiment. Your denominator was perfect for getting the vertical asymptotes in the right place. The y-intercept worked. The x-intercept was exactly right. I couldn't get the far right piece of the curve to reflect down in the fourth quadrant.

Hours later...suddenly BAM! ABSOLUTE VALUE pops into my head.

I always thought the numerator should be negative, so that middle portion of the curve that looks like a cubic would start "up to the left" and end "down to the right" But those left and right curves should be like mirror images of each other sort of. So I tried the absolute value and it worked! Good luck with your work. Hope this helps a little.

#a

[tex]\\ \tt\hookrightarrow 2(2x+1)=30[/tex]

[tex]\\ \tt\hookrightarrow 4x+2=30[/tex]

[tex]\\ \tt\hookrightarrow 4x=28[/tex]

[tex]\\ \tt\hookrightarrow x=7[/tex]

#b

[tex]\\ \tt\hookrightarrow 3(4x-3)=-12[/tex]

[tex]\\ \tt\hookrightarrow 12x-9=-12[/tex]

[tex]\\ \tt\hookrightarrow 12x=-3[/tex]

[tex]\\ \tt\hookrightarrow x=-1/4[/tex]

#c

[tex]\\ \tt\hookrightarrow 4(2x-7)=20[/tex]

[tex]\\ \tt\hookrightarrow 2x-7=5[/tex]

[tex]\\ \tt\hookrightarrow 2x=12[/tex]

[tex]\\ \tt\hookrightarrow x=6[/tex]

#d

[tex]\\ \tt\hookrightarrow 7(3x-4)=63[/tex]

[tex]\\ \tt\hookrightarrow 3x-4=9[/tex]

[tex]\\ \tt\hookrightarrow 3x=13[/tex]

[tex]\\ \tt\hookrightarrow x=13/3[/tex]

#e

[tex]\\ \tt\hookrightarrow 6(3x+3)=-72[/tex]

[tex]\\ \tt\hookrightarrow 18x+18=-72[/tex]

[tex]\\ \tt\hookrightarrow 18x=-90[/tex]

[tex]\\ \tt\hookrightarrow x=-5[/tex]

#f

[tex]\\ \tt\hookrightarrow -2(6x-3)=6[/tex]

[tex]\\ \tt\hookrightarrow 6x-3=-3[/tex]

[tex]\\ \tt\hookrightarrow 6x=0[/tex]

[tex]\\ \tt\hookrightarrow x=0[/tex]

The value of x is 7.

The value of x is -1/4.

The value of x is 7.

The value of x is 4 1/3.

The value of x is -5.

The value of x is 0.

2(2x + 1) = 30

The first step is to divide both sides of the equation by 2

2x + 1 = 15

Combine similar terms

2x = 15 - 1

2x = 14

x = 7

3(4x - 3) = -12

The first step is to divide both sides of the equation by 3

4X - 3 = -12 /3

4x - 3 = -4

Combine similar terms

4x = -4 + 3

4x = - 1

x = -1/4

4(2x - 7) = 20

The first step is to divide both sides of the equation by 4

2x - 7 = 5

Combine similar terms

2x = 5 + 7

2x = 12

x = 6

7(3x - 4) = 63

The first step is to divide both sides of the equation by 7

3x - 4 = 9

Combine similar terms

3x = 9 + 4

3x = 13

x = 4 1/3

6(3x + 3) = -72

The first step is to divide both sides of the equation by 6

3x + 3 = - 12

Combine similar terms

3x = -12 - 3

3x = -15

x = -5

-2(6x - 3) = 6

The first step is to divide both sides of the equation by -2

6x - 3 = -3

Combine similar terms

6x = -3 + 3

6x = 0

x = 0

To learn more about division, please check: https://brainly.com/question/194007

Answer:

1/x+2

Step-by-step explanation:

1/x−2 + 4/4-X^2

​

Factor 4−x^2

1/x−2  +  4/(x−2)(−x−2)

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x−2 and (x−2)(−x−2) is (x−2)(−x−2).

Multiply :  1/x−2 TIMES −x−2/−x−2

−x−2/(x−2)(−x−2)  +  4/(x−2)(−x−2)

​Since  −x−2/(x−2)(−x−2) and  4/(x−2)(−x−2)  have the same denominator, add them by adding their numerators.

−x−2+4​/(x−2)(−x−2)

Combine like terms in −x−2+4.

−x+2/(x−2)(−x−2)

Extract the negative sign in −x+2.

−(x−2)/(x−2)(−x−2)

Cancel out x−2 in both numerator and denominator.

1/X-2

27

Step-by-step explanation:

you are 6 years old while your sister is 3.

so you're basically 3 years older than her, now that you're 20 let's just subtract 3 from it.

[tex]20 - 3 = 27[/tex]

Answer:

27

Step-by-step explanation:

6-3 = 3

30-3 = 27