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Hình thức thay thế :

7 x^2 + 7 x y - 2

7/4 (2 x + y)^2 + 1/4 (-7 y^2 - 8)

x (7 x + 7 y) - 2

Dẫn 1 phần :

d/dx(7 x (x + y) - 2) = 7 (2 x + y)

d/dy(7 x (x + y) - 2) = 7 x

Answer:-11

Step-by-step explanation:

Answer:

a)   -11

Step-by-step explanation:

[tex]\frac{3 + x}{4}[/tex] = [tex]\frac{x + 1}{5}[/tex]

transpose

5 (3+x) = 4 ( x+1)

15 + 5x = 4x + 4

5x - 4x = 4 - 15

x = -11

You can even cross-check

a . -11

[tex]\frac{3 + (-11)}{4}[/tex] = [tex]\frac{-11 + 1}{5}[/tex]

[tex]\frac{3 - 11}{4}[/tex] = [tex]\frac{-10}{5}[/tex]

[tex]\frac{-8}{4}[/tex] = -2

-2 = -2

CROSS-CHECKED

Answer: $ 48.46

Step-by-step explanation:

If the price of 50 Kg of coffee was 2422.99, what is the cost of 1 Kg of coffee?

50/1 = 2422.90/x (cross multiplication)

48.46

Answer:

StepTo find the sum of the first Sn terms of a geometric sequence use the formula

Sn=a1(1−rn)1−r,r≠1,

where n is the number of terms, a1 is the first term and r-by-step explanation:

Answer: 745

Step-by-step explanation:

[tex]The\ sequence\ is\ a\ geometric\ one.u_1=75\\u_2=90\\u_3=108\\u_4=129.6\\u_5=155.52\\u_6=186.624\\\\common\ factor\ is\ 1.2=\frac{6}{5} \\\\Sum=u_1+u_2+...+u_6=\displaystyle \sum_{i=1}^{6} 75*(\frac{6}{5})^{i-1} \\=75*\dfrac{(\frac{6}{5}) ^6-1 }{\frac{6}{5}-1 }\\\\\\=75*\dfrac{1,985984}{\frac{1}{5} } \\\\=75*9,92992\\\\=744,744\\\\\approx{745}[/tex]

Answer:

(a).

[tex] \frac{2}{5a} = \frac{4}{a - 1} \\ \\ 20a = 2a - 2 \\ 18a =- 2 \\ a = - \frac{1}{9} [/tex]

(b).

[tex] \frac{7}{2d - 5} = \frac{9}{3d + 4} \\ \\ 7(3d + 4) = 9(2d - 5) \\ 21d + 28 = 18d - 45 \\ 3d = - 73 \\ d = - \frac{73}{3} [/tex]

(c).

[tex] \frac{3}{e + 1} + \frac{1}{2e + 1} = 0 \\ 3(2e + 1) = - (e + 1) \\ 6e + 3 = -(e + 1) \\ 7e = - 4 \\ e = - \frac{4}{7} [/tex]

(d).

[tex] \frac{5}{2f - 5} - \frac{4}{7f + 1} = 0 \\ \\ \frac{5}{2f - 5} = \frac{4}{7f + 1} \\ \\ 5(7f + 1) = 4(2f - 5) \\ 35f + 5 = 8f - 20 \\ 27f = - 25 \\ f = - \frac{25}{27} [/tex]

(d).

Step-by-step explanation:

a)2/5a=4/a-1

By cross multiplication:

5a×4=2(a-1)

20a=2a-2

20a-2a=-2

18a=-2

a=-2/18

a=-1/9

b)7/2d-5=9/3d+4

By cross multiplication:

7(3d+4)=9(2d-5)

21d+28=18d-45

21d-18d=-45-28

3d=-73

d=-73/3

c)3/e+1 + 1/2e+1=0

3/e+1=-1/2e+1

By cross multiplication

3(2e+1)=-1(e+1)

6e+3=-e-1

6e+e=-1-3

7e=-4

e=-4/7

d)5/2f-5-4/7f+1=0

By cross multiplication

5/2f-5=4/7f+1

5(7f+1)=4(2f-5)

35f+5=8f-20

35f-8f=-20-5

27f=-25

f=-25/27

Answer:

two-hundred million,four-hundred and three thousand ,nine-hundred and twenty-six

Answer:

Answer below

Step-by-step explanation:

Expanded form: 200,000,000 + 400,000 + 3,000 + 900 + 20 + 6

This is when you split a number and write the value of each number

In words: two hundred million four hundred and three thousand nine hundred and twenty six.

HOPE THIS HELPED

Answer:

The answer is 3: -1: 19

Step-by-step explanation:

I. f(x) is output x is input so

       If x = 0

       f(0) = 3 - 8(0)

       f(0) = 3

       If x = 1/2

        f(1/2) = 3 - 8(1/2)

                 = 3 - 4

        f(1/2) = -1

         If x = -2

         f(-2) = 3 - 8(-2)

                 = 3 - (-16)

                 = 3 + 16

          f(-2) = 19

Hope that help :D

Answer:

Y = C/h+ K

Step-by-step explanation:

hope that helps>3

Answer:

15 feet above ground.

Step-by-step explanation:

15 feet - 4 feet = 11 feet

11 feet + 5 feet = 16 feet

16 feet - 1 foot = 15 feet

Answer:

The answer is D

Step-by-step explanation:

Start by subtracting 2x from both sides

-4y = -2x + 8

Divide both sides by -4

y = 1/2x - 2

or

y = one-half x minus 2

Answer:

52.5 km

Step-by-step explanation:

the info about the trip from Malim to Petani is irrelevant and only there to confuse us.

but from the return trip info we get all we need.

for x km it took then 30 minutes at an average speed of 105 km/h.

to get km out of km/h, we need to multiply the speed number by the hours traveled. that removed the "h" and leaves us with km.

n km/h × a h = a×n km

so, now, in our example we have 105 km/h, and 30 minutes = 1/2 h.

so, we have

x = 105 km/h × 1/2 h = 105/2 km = 52.5 km

[tex]\\ \sf\longmapsto \dfrac{67}{100}\times 85[/tex]

[tex]\\ \sf\longmapsto 85(0.67)[/tex]

[tex]\\ \sf\longmapsto 56.95[/tex]

[tex]\\ \sf\longmapsto \dfrac{33}{100}\times 76[/tex]

[tex]\\ \sf\longmapsto 76(0.33)[/tex]

[tex]\\ \sf\longmapsto 25.08[/tex]

Add both

[tex]\\ \sf\longmapsto 56.95+25.08[/tex]

[tex]\\ \sf\longmapsto 82.03[/tex]

Using weighed averages, it is found that the final grade is was of 82.03.

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

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

Using the data given in the exercise, for the grades, and the weighed average concept, the final grade is:

[tex]G = 85(0.67) + 76(0.33) = 82.03[/tex]

The final grade was of 82.03.

A similar problem is given at https://brainly.com/question/24447096

Answer:

6 cups

hopes this help you

[tex]\\ \sf\longmapsto x+88=138[/tex]

[tex]\\ \sf\longmapsto x=138-88[/tex]

[tex]\\ \sf\longmapsto x=50°[/tex]

Option C is coreect

Step-by-step explanation:

(4x + 5y) - (2x+5)

impliment the negative

4x + 5y -2x -5

combine like terms

2x + 5y - 5

traditionally the x goes first but it could be y too such as 5y + 2y - 5

either one is the final answer

Answer:

2x + 5y - 5

Step-by-step explanation:

(4x + 5y - (2x + 5)

remove the brackets.

➡️ 4x + 5y - (2x - 5)

if there is a "-" in front of a form in brackets, change the sign of each term in the form.

➡️ 4x + 5y - 2x - 5

simplify terms by adding or subtracting.

➡️ 2x + 5y - 5

Answer:

2250

Step-by-step explanation:

The actual areas is 1125 in²

A scale drawing can be described as a drawing of an original image that is reduced by a constant proportion to the original image.    

scale of the drawing = original dimensions / dimensions of the scale drawing

The scale used by Joseph = 2 cm : 5 inches

This can be simplified further by dividing by 2

1 cm : 2.5 inches

Based on the image, the dimensions of the grill are 10 cm x 18cm

The length of the actual grill = 18 x 2.5 = 45 inches

The width of the actual grill = 10 x 2.5 = 25 inches

Area of a rectangle = length x width

Area of the actual space for the grill = 25 x 45 = 1125 in²

To learn more about scale drawings, please check: brainly.com/question/980463?referrer=searchResults

Answer:

11[tex]x^{2}[/tex]

Step-by-step explanation:

After simplifying all the other ones, they all equal 11x, except 11x^2

a.

5 minutes

b.

30 litres per minute

Answer:

11/8 or 1 3/8 or 1.375

Step-by-step explanation:

From the information given by the question, we can form an equation:

Let us call the number 'n'

8 × n - 7 = 4

We then move the 7 to the other side, changing it from minus to plus:

8 × n = 4 + 7

So,

8 × n = 11

We divide both sides by 8, to leave n on one side of the equation.

n = 11/8

Therefore, n = 11/8 or 1 3/8 or 1.375

Answer:

7 inches

Step-by-step explanation:

7 inches

bc area of a square is l^2 and square of 7 is 49.

Step-by-step explanation:

So, 3 times 11 would give you 33. Then you just add the 7 and it would give you 40!

Answer:

y = -3/5x + 1

Step-by-step explanation:

We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and  b = y-intercept.

4 = -5(-3/5) + b

4 = 3 + b

1 = b

With the information we know, we can input the values into the formula once again.

y = -3/5x + 1

Best of Luck

Bytes are used to represent the number of bits in a computer system. There are 1024n bytes in n kilobytes.

Using the following representation:

[tex]KB \to[/tex] Kilobyte

[tex]B \to[/tex] Bytes

1024 bytes in 1 kilobyte is represented as:

[tex]1024B = 1KB[/tex]

Let the number of bytes in n kilobytes be x.

So, we have:

[tex]x = n\ KB[/tex] and

[tex]1024B = 1KB[/tex]

Cross multiply

[tex]x \times 1KB = 1024B \times nKB[/tex]

Divide both sides by KB

[tex]x \times 1 = 1024B \times n[/tex]

[tex]x = 1024n\ B[/tex]

Remove the units for proper representation

[tex]x = 1024n[/tex]

Hence, there are 1024n bytes in n kilobytes

Read more about bytes at:

https://brainly.com/question/1832188

Answer: 1024n

Step-by-step explanation:

Answer:

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