Keith bought a soft drink for three dollars and eight candy bars. He spent a total of twenty-seven dollars. How much did each candy bar cost?

Answer:

[tex](f o g)(x) = f(g(x))\\ = f(x-6)\\ = (x-6)^{2} +4(x-6)-60\\ = x^{2} -12x+36+4x-24-60\\ = x^{2} -8x-48\\ = (x-12)(x+8)[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Any polynomial can only have as many zeros as is the highest exponent at x.

A cubic polynomial it's:  ax³+bx²+cx+d. The highest exponent at x is 3 so it is the largest number of its zeros.

Answer:

(x+3)(2x+3)

Step-by-step explanation:

Factor:

2x^2+9x+9

=(2x+3)(x+3)

Answer:

(x + 3)(2x + 3)

Step-by-step explanation:

Sum = 9

Product = 2*9 = 18

Factors = 6 ,3

2x² + 9x + 9 = 2x² + 6x + 3x + 3 * 3

                    = 2x ( x + 3) + 3( x + 3)

                      = (x +3)(2x + 3)                

Answer:

2 real number solutions.

Step-by-step explanation:

You check the value of the discriminant b^2 - 4ac.

Here it = (-10)^2 - 4*2* 6)

= 100 - 48

= 52. (Positive)

This means that it has 2 real number solutions.

If the discriminant = 0 it has one real number solution and if negative it has no real number solutions.

Answer:

i think its 2 real number

Step-by-step explanation:

Answer:

4 (RootIndex 3 StartRoot 6 x squared EndRoot)  = 4[tex]\sqrt[3]{6x^2}[/tex]

Step-by-step explanation:

Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot = [tex]\sqrt[3]{6x^2}[/tex] ?

1)  x[tex]\sqrt[3]{6x}[/tex] = [tex]\sqrt[3]{6x^4}[/tex]

2) 6[tex]\sqrt[3]{x^2}[/tex] = [tex]\sqrt[3]{6^3x}[/tex]

3) 4[tex]\sqrt[3]{6x^2}[/tex]

4) x[tex]\sqrt[3]{6}[/tex] = [tex]\sqrt[3]{6x^3}[/tex]

Compared with the given radical, we can see from the given choices only 3rd choice is like radical with [tex]\sqrt[3]{6x^2}[/tex]

Answer:

c

Step-by-step explanation:

i just did it

If two parallel lines are cut by a transversal,

then alternate interior angles are congruent.

Since one alternate interior angle measures 60 degrees,

the other alternate interior angle must also measure 60 degrees.

Answer:

4hrs 33mins

Step-by-step explanation:Speed = 11m/min

Total distance=500miles*6=3000miles

Total time= 3000miles/11m/min=273minutes = 4hrs 33mins

Answer:

120, 68, 72, 36, 32, 41, 31 (Left to right, top to bottom)

Step-by-step explanation:

When looking at the tree, we start from left to right. That means the numbers on the left are larger and get smaller as we move to the right. The very first one on the left is 120 since there are 120 in the theater.

We know that 72 are female so we can put that in the lower bubble of the second column. From this information, we can find the # of males.

140-72=68. We can put 68 in the upper bubble of the second row.

We can first finish the male side with ice cream. We know 36 purchased ice cream which goes in the top bubble on the right. Now we subtract to find the remainder. 68-36=32. 32 goes right below 36

Now we go to the female side. 41 bought ice cream. This goes in the one 3rd down on the right. 72-41=31. 31 goes right  below 41

Answer:

There are 120 people (both male and female)

48 male =  36 bought ice cream

                  12 without an ice cream

72 female = 41 bought ice cream

                    31 without ice cream

Hope it helps :>

Answer:

I'm a bit rusty. But try 58x +21

Hope I helped you.

lets say for the first transformation x=1 and y=2

the transformation results in quadrant 2 (originating in quadrant 1) telling us it was a 90° counter-clockwise turn

for the second transformation we can let x=3 and y=4

transformation 2 results in quadrant 3 (originating in quadrant 1) telling us it was a 180° counter-clockwise turn

HOPE THIS HELPS!!!! :)

<333333333

Answer:

Each flower type area ratio = 14 ft²

Step-by-step explanation:

Given:

Total area = 70 ft²

Total equal varieties = 5

Find:

Each flower type area ratio

Computation:

There is 5 equal part of land

So,

Ratio = 1:1:1:1:1

Assume each part cover = x

So

Total area = 5x

5x  = 70 ft²

x = 14 ft²

Each flower type area ratio = 14 ft²

Answer:

I would assume it would be 12h+6k

Answer:

Step-by-step explanation:

Use distributive property

a(b+c) = a*b + a*c

3(4h + 2k) = 3*4h + 3 *2k

                  = 12h + 6k

Answer:

Alan buys 12.05 ounces of sour patch kids candy in all.

Step-by-step explanation:

We are given that Alan buys 5.3 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces.

And we have to find the total ounces he buys in all.

As we know that for finding the total quantity or amount, we will use addition for calculating it.

Firstly, Alan buys = 5.3 ounces of sour patch kids candy

Additional ounces of sour patch kids candy Alan buys = 6.75

So, the total ounces of sour patch kids candy he buys in all = 5.3 + 6.75

                                                                                                   = 12.05 ounces

Hence, he buys 12.05 ounces in all.

Answer:

To convert binary into decimal, multiply each binary digit with a power of 2 corresponding to its position.

So for example 1010 would be 1·2³ + 0·2² + 1·2¹ + 0·2⁰ = 8+2 = 10 in decimal.

now you can calculate the answers yourself!

To convert decimal into binary, you can use the following approach:

Write down the answer from right to left

A. if your number is odd, write down a 1, if it is even, write a 0

B. divide the number by 2 and round down, ie. discard any decimals (e.g., 7 / 2 = 3)

C. repeat step A until your number is 0.

example:

18 -> write down 0

18/2 = 9 -> write down 1

9/2 = 4 -> write down 0

4/2 = 2 -> write down 0

2/2 = 1 -> write down 1

1/2 = 0 finished

The result is 10010.

Answer:

-10 is right answer

Step-by-step explanation:

see in attached picture

hope it helped you:)

Answer:

[tex] \frac{r}{2} + 2 = - 3[/tex]

[tex] = ) \frac{r + 4}{2} = - 3[/tex]

[tex] = )r + 4 = - 6[/tex]

[tex] = )r \: = - 6 - 4[/tex]

[tex] = )r \: = - 10[/tex]

Answer:

$15

Step-by-step explanation:

Let's start by figuring out how much 1 cup of oil costs.

12 cups of oil is 36$

Let's set up a proportion.

12/36=1/x

Cross Multiply

12x=36

Divide both sides by 12.

x=3

1 cup of oil is $3.

Dinesh makes 5 batches of hummus, and each batch requires 1 cup of oil.

5*1=5

This means he needs 5 cups of oil.

5*3=15

He used $15 worth of oil in the 5 batches of his recipe.

However, since it is impossible to buy 5/12 bottles of oil, he would have needed to spend $36.

Answer: (-5,0)

Step-by-step explanation:

-4x + 5y = 20   the x intercept is when y is zero so input zero into the equation and solve for x.

-4x + 5(0) = 20

-4x = 20

x = -5  

Answer:

Both terms have the same base.

Step-by-step explanation:

While they share the same base, 3, their powers differ (one to the cube, and the other to the quartic).

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▹ Answer

Both of them have the same base.

▹ Step-by-Step Explanation

The exponential quantity differs, but 3³ and 3⁴ both have the same base number of 3.

Hope this helps!

CloutAnswers ❁

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Answer:

a = 80

b = 310

c = 96

Step-by-step explanation:

1)

20 + a + a = 180

2a + 20 = 180

2a = 160

a = 80

2)

180 - 65 - 65 + b = 360

b + 50 = 360

b = 310

3)

52 + c + 32 = 180

c + 84 = 180

c = 96

Step-by-step explanation: The 9 in 857.9 differs from the value of 9 in 798.21 because in 857.9, the 9 is in the tenths place, while in 798.21, it is in the tens place.

Answer:4,42128,56,19,416,6497,99

Step-by-step explanation:

Answer:

t = 0.06c

Step-by-step explanation:

Given the following :

Percentage sales tax on items = 6%

Cost of item = c

Amount of sales tax on item = t

Amount of sales tax is the product of the sales tax percentage and the cost of item purchased

Hence, Amount of sales tax;

t = 6% × cost of item (c)

t = 0.06 × c

t = 0.06c

Answer:

8:5

Step-by-step explanation:

there are 25 girls, and 40 boys, so you find the common factor between them,which is 5 and divide each number by 5.

25/5=5 girls

40/5=8 boys

so the ratio of boys to girls is 8:5

Answer:

[tex]\frac{214}{99}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeating digits after the decimal point. Then by subtracting them we eliminate the repeating part.

let x = 2.1616.... → (1)) ← multiply both sides by 100

100x = 216.1616..... → (2)

Subtract (1) from (2)

99x = 214 ( divide both sides by 99 )

x = [tex]\frac{214}{99}[/tex]

Answer:

Its c

Step-by-step explanation:

I answered this same question Heh. Its c because you have to collect the data in order to record the growth of each plant.

Answer:

-49z^5

Step-by-step explanation:

(−7z^ 4 )(7z)

Multiply the numbers together

-7*7 = -49

Add the exponents

z^4 * z = z^4  * z^1 = z^(4+1) = z^5

Put back together

-49z^5

Answer:

33 i think

Step-by-step explanation:

Answer:

49.5 texts

Step-by-step explanation:

The total number of students is

11+21+33+23+12 = 100

The middle is 50

150 is in the middle group

The median will be between 40 -59

The best estimate for the median is to add the 40+59 and divide by 2

(40+59)/2 = 99/2 = 49.5 texts

Answer:

169/16

Step-by-step explanation:

13/4

what is a square at first

a square is the result of multiplying a number by itself

so the square of 13 will be 169

and the square of 4 will be 16

so easy...bingo