You want to buy some noodles. A 9-ounce package costs $3.24. A 12-ounce package costs $4.20. A 20-ounce package costs $7.60. Which package is the best buy?

Answer:

[tex]x = \frac{ - 3}{2} \: or \: \frac{1}{3} [/tex]

Step-by-step explanation:

[tex]7 {x}^{2} + 10x - 3 = {x}^{2} + 3x[/tex]

[tex] = > 7 {x}^{2} - {x}^{2} + 10x - 3x -3 = 0[/tex]

[tex] = > 6 {x}^{2} + 7x - 3 = 0[/tex]

[tex] = > 6 {x}^{2} + 9x - 2x - 3 = 0[/tex]

[tex] = > 3x(2x + 3) - 1(2x + 3) = 0[/tex]

[tex] = > (2x + 3)(3x - 1) = 0[/tex]

Here x will have 2 values.

1) [tex]2x + 3 = 0[/tex]

[tex] = > 2x = - 3[/tex]

[tex] = > x = \frac{ - 3}{2} [/tex]

2)[tex]3x - 1 = 0[/tex]

[tex] = > 3x = 1[/tex]

[tex] = > x = \frac{1}{3} [/tex]

Answer:

Options (1) and (3)

Step-by-step explanation:

Option (1)

f(x) = x²+ 3

We can rewrite the function in the equation form as,

y = x² + 3

By interchanging y by x,

x = y² + 3

Now we solve it for y,

y² = x - 3

y = ±√(x - 3)

So the inverse function is,

[tex]f^{-1}(x)=\pm \sqrt{x-3}[/tex]

It's a function.

Option 2

d(x) = -9

Equation form of the function is,

y = -9

Replacing y by x,

x = - 9

Therefore, inverse function will be,

x = -9

Inverse is not a function

Option 3

m(x) = -7x

Equation form of the function,

y = -7x

Interchanging y by x,

x = -7y

Now solve for x,

y = [tex]-\frac{1}{7}x[/tex]

So the inverse function will be,

[tex]m^{-1}(x)=-\frac{1}{7}x[/tex]

Inverse is a function.

Option 4

p(x) = |x|

As this function not a one to one function inverse function is not possible.

Inverse of |x| is not a function.

9514 1404 393

Answer:

  [-6, 8]

Step-by-step explanation:

The range of a function is its vertical extent.

Here, the low point on the graph is (11, -6). The high point on the graph is (-6, 8). The graph is continuous between these points, so every value between a low of y=-6 and a high of y=8 is part of the range:

  -6 ≤ y ≤ 8 . . . . . . . . [-6, 8] in interval notation

Answer:

The answer is 5 3/8

Step-by-step explanation:

Answer:

16x - 17

Step-by-step explanation:

Answer:

16x-17

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given the decimal number

[tex]6.05[/tex]

Rewrite as

[tex]=6+0.05[/tex]

[tex]=6+\frac{5}{100}[/tex]        ∵ 0.05 = 5/100

[tex]=6+\frac{1}{20}[/tex]

[tex]=\:\frac{121}{20}[/tex]

[tex]=6\frac{1}{20}[/tex]

Given the decimal number

12.346

Rewrite as

[tex]=12+0.346[/tex]

[tex]=12+\frac{173}{500}[/tex]              ∵ 0.346 = 346/1000 = 173/500

[tex]=12\frac{173}{500}[/tex]

Given the decimal number

7.5

Rewrite as

[tex]=7+0.5[/tex]

[tex]=7+\frac{1}{2}[/tex]                 ∵ 0.5 = 1/2

[tex]=7\frac{1}{2}[/tex]

Answer:

Christine has completed 35% of her total deliveries.

Step-by-step explanation:

To find the answer, you can use a rule of three considering that as Christine needs to make a total of 40 deliveries this week, this would represent 100% and with this you can find the percentage that the 14 deliveries completed represent:

40 → 100%

14  →    x

x=(14*100)/40=35%

According to this, the answer is that Christine has completed 35% of her total deliveries.

Answer:

591.14 m

Step-by-step explanation:

74.98 (above water level) + 518.16 (below water level) = 593.14 m (total height of the oil rig)

Hope this helps :)

Answer: 150 boys

Step-by-step explanation:

Let the number of boys be x

Since there were 200 more girls than boys, the number of girls will be: = x + 200

Since the ratio of boys to girls was 3:7, this can be solved further below:

3/7 = x/x+200

Cross multiply

(7 × x) = 3(x + 200)

7x = 3x + 600

7x - 3x = 600

4x = 600

x = 600/4

x = 150

The number of boys enrolled is 150

Number of Girls will be:

= X + 200

= 150 + 200

= 350

Check: Number of boys / Number of girls

= 150/350

= 3/7

= 3:7

Answer: 22 mor packages.

Give me brainlyest please.

Step-by-step explanation:

Answer:

14x-21y

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. This is:

  7(2x – 3y)

= 7(2(6) – 3(-2))

= 7(12 + 6)

= 7(18)

Answer:

m = undef

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (2, 3)

Point (2, -6)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

18

Step-by-step explanation:

The centroid divides the median into 2 parts from the vertex to one point to the opposite side of the vertex where the median starts.

Put into simpler language. HB is twice as long as HF

If Hf is 6 then HB is 12. BF is the total length of both or 6 + 12 = 18

Answer:

agree

Step-by-step explanation:

I agree with employee A getting a bigger pay raise than employee B if employee be got a bigger pay raise that is because they have more responsibility or have more skills than employee B.

Answer:

The area of the rectangle is 22 m^2. The perimeter of the rectangle is 19.93

Step-by-step explanation:

The area of a rectangle is [tex]l*w[/tex]. The perimeter of a rectangle is [tex]2(l+w)[/tex] or just adding up all 4 sides. Now, all you need to do is math.

[tex]A= 3.3 * (20/3) = 22\\P = 2 (3.3 + (20/3)) = 19.93[/tex]

If your teacher has rounding rules, please follow it.

Answer:

B hope that help

Step-by-step explanation:

Answer:

m∠1 = 100

Step-by-step explanation:

m∠2 = 80

m∠1 = 180 - 80 = 100

Answer:

I will consider $18/hour pay

Step-by-step explanation:

Before we an know which of the money to consider, we need to converted the equivalent amount in years

If $18 dollars is offered per hour, to know the equivalent amount per year.

1year = 8760hour

$18 = 1hr

x = 8760hr

x =18×8760

x = $157680

For the monthly pay

$3000 = 1month

y =12months

Since 12months are in year

Cross multiply

y = 3000×12

y = $36000

Since the hourly pay equivalent in years is greater than the monthly and yearly pay, hence I would consider $18 per hour pay

Answer:

$11.02

Step-by-step explanation:

Answer:

a. Geometric

b. 20, 10 and 5

c. Tn = 20(0.5)^n-1

d. 0.00004 ft

Step-by-step explanation:

a. The sequence is geometric

The reason for this is that we will be multiplying each term by a particular value

If it was arithmetic, we would have been adding instead. But since it is geometric, we shall multiply terms by a particular number

b. 1st term is

20

second term

1/2 * 20 = 10

Third term

1/2 * 10 = 5

c. Explicit formula

Mathematically, that will be;

Tn = ar^n-1

Where r is 1/2 or 0.5

Tn = a(0.5)^n-1

where Tn is the present term and n is the present number of the term

d. 20th term

T20 = 20 * 0.5^19

T20 = 0.00004 ft

Answer:

0.039

Step-by-step explanation:

Multiply.

1.3 x 0.03 = 0.039

Answer:

20n2-4n-1

Step-by-step explanation:

You combine like terms, so you add 16n2 with 4n2 to get 20n2. Then you add n with -5n to get -4n. Finally, you add 1 with -2 to get -1.

Answer:

The original amount of muffin she original made will be: m = 49

Step-by-step explanation:

Given that after selling 28 muffins, 21 muffins remained.

Thus, the equation becomes

[tex]m - 28 = 21[/tex]

adding 28 to both sides

[tex]m-28+28 = 21+28[/tex]

[tex]m = 49[/tex]

Therefore, we conclude that the original amount of muffin she original made will be: m = 49

Answer:

(6x - 1) • (2x + 9)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((22•3x2) +  52x) -  9

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  12x2+52x-9  

The first term is,  12x2  its coefficient is  12 .

The middle term is,  +52x  its coefficient is  52 .

The last term, "the constant", is  -9  

Step-1 : Multiply the coefficient of the first term by the constant   12 • -9 = -108  

Step-2 : Find two factors of  -108  whose sum equals the coefficient of the middle term, which is   52 .

     -108    +    1    =    -107  

     -54    +    2    =    -52  

     -36    +    3    =    -33  

     -27    +    4    =    -23  

     -18    +    6    =    -12  

     -12    +    9    =    -3  

     -9    +    12    =    3  

     -6    +    18    =    12  

     -4    +    27    =    23  

     -3    +    36    =    33  

     -2    +    54    =    52    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  54  

                    12x2 - 2x + 54x - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (6x-1)

             Add up the last 2 terms, pulling out common factors :

                   9 • (6x-1)

Step-5 : Add up the four terms of step 4 :

                   (2x+9)  •  (6x-1)

            Which is the desired factorization

HOPE IT HELPS! :))

Answer:

8 months

Step-by-step explanation:

45x8=360+75=435      the 75 dollars is from the registration fee.

Answer:

D.

Step-by-step explanation:

If I am wrong let me know.

Have a good one.