Write in exponential form
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Answer:

W=-6

Step-by-step explanation:

6+4w=2w-6

Collect Terms

4w-2w=-6-6

2w=-12

now divide both sides by 2

2w/2=-12/2

w=-6

Answer:

Exact form:

x = 4/5

Decimal Form:

x = 0.8

Step-by-step explanation:

The point of intersection of the line 2x+3y+2=0 with the curve 2xy = -1 will be (1/2, - 1) and (1/6, 1/3).

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of lines are,

⇒ 2x + 3y + 2 = 0

⇒ 2xy = - 1

Now,

Since, The equation of lines are,

⇒ 2x + 3y + 2 = 0  ..(i)

⇒ 2xy = - 1   ..(ii)

From (ii);

⇒ 2xy = - 1

⇒ x = - 1/2y

Put above value in (i), we get;

⇒ 2 × - 1/2y + 3y + 2 = 0

⇒ - 1/y + 3y + 2 = 0

⇒ - 1 + 3y² + 2y = 0

⇒ 3y² + 2y - 1 = 0

⇒ 3y² + 3y - y - 1 = 0

⇒ 3y (y + 1) - 1 (y + 1) = 0

⇒ (3y - 1) (y + 1) = 0

⇒ y = 1/3

And, y = - 1

So, The value of x is,

⇒ x = - 1/2y

⇒ x = - 1/2 × - 1

⇒ x = 1/2

And, x = - 1/2 × 1/3

⇒ x = 1/6

Thus, The intersection point on the lines = (1/2, - 1) and (1/6, 1/3)

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Answer:

w= -4

Step-by-step explanation:

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Answer:

w is -4

Step-by-step explanation:

[tex]4w = 2w - 8[/tex]

make w the subject:

[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]

divide all sides by 2:

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

Answer:

Step-by-step explanation:

Positive rational numbers will be in the right side of the number line.

Negative rational numbers will be in the right side of the number line.

18.256 will be lying in between 18.25 and 18.26

Answer:

Step-by-step explanation:

Inverse variation equation:

We have:

Work out the value of k by substituting the values of x and y:

The equation is:

Answer:

y = -6/x

Step-by-step explanation:

y varies inversely as x

So, y = k/x, where k is the constant of proportionality.

If y = -1 when x = 6,

Then, -1 = k/6 ===> k = -6

Therefore, y = -6/x

Part-A:-

[tex]\\ \sf\longmapsto x^2+3x-70(4x-12)[/tex]

[tex]\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840[/tex]

[tex]\\ \sf\longmapsto -8x^2+48x+560[/tex]

Now

[tex]\\ \sf\longmapsto (f.g)(3)[/tex]

[tex]\\ \sf\longmapsto -8(3)^2+48(3)+560[/tex]

[tex]\\ \sf\longmapsto -72+144+560[/tex]

[tex]\\ \sf\longmapsto 72+560[/tex]

[tex]\\ \sf\longmapsto 632[/tex]

Part-B:-

[tex]\\ \sf\longmapsto f(3)[/tex]

[tex]\\ \sf\longmapsto (3)^2+3(3)-70[/tex]

[tex]\\ \sf\longmapsto 9+9-70[/tex]

[tex]\\ \sf\longmapsto 18-70[/tex]

[tex]\\ \sf\longmapsto -52[/tex]

Now

[tex]\\ \sf\longmapsto g(f(3))[/tex]

[tex]\\ \sf\longmapsto g(-52)[/tex]

[tex]\\ \sf\longmapsto 4(-52-3)[/tex]

[tex]\\ \sf\longmapsto 4(-55)[/tex]

[tex]\\ \sf\longmapsto -220[/tex]

Part:-C

[tex]\\ \sf\longmapsto g(-2)[/tex]

[tex]\\ \sf\longmapsto 4(-2-3)[/tex]

[tex]\\ \sf\longmapsto 4(-5)[/tex]

[tex]\\ \sf\longmapsto -20[/tex]

Now

[tex]\\ \sf\longmapsto f(g(-2))[/tex]

[tex]\\ \sf\longmapsto f(-20)[/tex]

[tex]\\ \sf\longmapsto (-20)^2+3(-20)-70[/tex]

[tex]\\ \sf\longmapsto 400-60-70[/tex]

[tex]\\ \sf\longmapsto 400-130[/tex]

[tex]\\ \sf\longmapsto 270[/tex]

Part-D:-

[tex]\\ \sf\longmapsto (g.f)(-2)[/tex]

[tex]\\ \sf\longmapsto -8(-2)^2+48(-2)+560[/tex]

[tex]\\ \sf\longmapsto 32-96+560[/tex]

[tex]\\ \sf\longmapsto -64+560[/tex]

[tex]\\ \sf\longmapsto 496[/tex]

Answer:

SELLING PRICE OF CYCLE = 2250RS

LOSS MAN SUFFERED = 50RS

Step-by-step explanation:

COST PRICE = SP + LOSS

CP = 2250 + 50

CP = 2300 RS

FORMULA OF PROFIT = SP - CP

TO MAKE PROFIT OF 80 RS

80 = SP - 2300

 SP = 2380 RS

HE SHOULD SELL THE CYCLE AT 2380 TO MAKE PROFIT OF 80 Rs

                                          Thank you

                           PLEASE MARK AS BRAINLIEST

Answer:

rs 2380

Step-by-step explanation:

→ Add rs 50 to the selling price to not make a profit or loss

2250 + 50 = 2300

→ Add rs 80 to the answer above

80 + 2300 = 2380

Answer:

p(x,y)= (2,3)

Step-by-step explanation:

i have used partition formula in the pic below. If there is any question you can ask me in comment.

Answer:

Your final grade will be 77%

Step-by-step explanation:

40% will be from your test average which is 95

30% will be from your homework average which is 60

30% will be from your quiz average which is 70

Calculating based on these weights:

(40×95+30×60+30×70) / (40+30+30) = 7700 / 100 = 77.00%

Answer:

92

Step-by-step explanation:

[tex]8+x=100\\\\x=92[/tex]

Answer: B. 92

Step-by-step explanation: The sum of eight and a number is one hundred. The number is: 92 8 + N = 100 N = 100 - 8 N = 92

Answer:

24

Step-by-step explanation:

3    9

8    

9 times 8

divided by 3 = denominator

9x8÷3=24

Answer:

[tex]\frac{9}{24}[/tex]

Step-by-step explanation:

Skills needed: Identify numerator, Multiplying to change fraction

1) First, we need to know what the numerator is. The numerator is the upper number of the fraction, which is separated by the fraction bar FROM the denominator (the bottom part of the fraction).

2) What we need to do here is rewrite the fraction [tex]\frac{3}{8}[/tex] so that the numerator is 9. Let's look at it in another way:

[tex]\frac{3}{8} * \frac{x}{x} = \frac{9}{z}[/tex] (The reason it is [tex]\frac{x}{x}[/tex] is because we want to multiply the original fraction/ratio by 1 so that we do not change it).

3) Now we know that [tex]3 * x=9[/tex], and if we divide both sides by 3, we get:

[tex]x=3[/tex].

This means it would be:

[tex]\frac{3}{8} * \frac{3}{3} = \frac{9}{z}[/tex]

Now we need to find [tex]z[/tex]. [tex]z=8*3 = 24[/tex]. [tex]z=24[/tex].

The numerator of our fraction would be 9, and the denominator is 24, making our answer: [tex]\frac{9}{24}[/tex].

Hope you understood and have a nice day!! :D (If you have any questions, please comment, and I can try to help!)

Answer:

3/4×3 = 2.25

2/4×1= 0.5

Step-by-step explanation:

how it helps u

Answer:

12

Step-by-step explanation:

36/12=3

48/12=4

Answer:

highest common factor of 36 and 48 is 12

Do you what explanation?

Answer:

The shirt is $31.50 and the pants are $46.50

Step-by-step explanation:

Let x represent the cost of the pants.

If the shirt is 15 dollars less than the pants, its cost can be represented by x - 15.

Create an equation, and solve for x:

(x) + (x - 15) = 78

2x - 15 = 78

2x = 93

x = 46.5

So, the pants are $46.50.

Subtract 15 from this to find the cost of the shirt:

46.50 - 15

= 31.50

The shirt is $31.50 and the pants are $46.50

Answer:

no solutions

Step-by-step explanation:

4z - 15 = 4z+11

Subtract 4z from each side

4z-15-4z = 4z+11-4z

-15 = 11

This is not a true statement so there are no solutions

Answer:

No solutions.

Step-by-step explanation:

4z-15=4z+11  Subtract 4z from both sides.

-4z      -4z

-15=11             This statement is not true; therefore, there are no solutions.

Hope this helps you out! Have a wonderful day (｡･∀･)ﾉﾞ

Answer:

M=(7,2)

Step-by-step explanation:

M=(10+4/2,5+-1/2)

M=(7,2)

Answer:

Step-by-step explanation:

Imaginary. Imaginary numbers are numbers whose squares are negative. They are the square root of minus one, i = √−1, and all real number multiples of i, such as 2i and i√2.

The required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.

To determine from the options the set of imaginary numbers.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
imaginary number are the number such square root of negative numbers,
So, the set of imaginary numbers is  √-1, √-4, √-5.
While all other set are given are not set of imaginary numbers.

Thus, the required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.

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Answer:

20 weeks

Step-by-step explanation:

200-1.5w=180-0.5w

You can double-check by substituting 20 for w (weeks), if it is equal, then the equation is correct.

Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]

[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]

[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]

[tex] \hookrightarrow \: y = 6x + 1[/tex]

hence, measure of the third side is 6x + 1

Answer:

im pretty sure your answer is correct :)

Step-by-step explanation:

Answer:

line [tex]l[/tex]

The length of JM is 9.

Step-by-step explanation:

Since JM ≅ MK then we can form the following:

[tex]JM=MK\\JM=3x+15\\MK=8x+25\\\\3x+15=8x+25\\15=5x+25\\-10=5x\\-2=x\\x=-2\\\\JM=3x+15\\JM=3(-2)+15\\JM=-6+15\\JM=9[/tex]

Answer:

6

Step-by-step explanation:

It's just an educated guess but going from point A to point B there's six parts that the graph is separated by. (the lines.)

Answer:

p = -10

Step-by-step explanation:

[tex]\frac{p+1}{2} = \frac{3p+7}{5}[/tex] cross multiply fractions

6p + 14 = 5p + 5

6p - 5p = 5 - 15 subtract like terms

p = - 10

Answer:

361

Step-by-step explanation:

[tex]3 \times {11}^{2} - 2 = 361[/tex]

Answer:

361

Step-by-step explanation:

3(7+4)^2-14÷7

PEMDAS says parentheses first

3(11)^2-14÷7

Then exponents

3(121)-14÷7

Then multiply from left to right

363 -14÷7

363 -2

Subtract

361

Answer:

- (5/22)

Step-by-step explanation:

(12-2x+8)/3 = (6x + 15)/2

(20 - 2x)/3 = ( 6x + 15)/2

Now cross multiplication

40 - 4x = 18x + 45

-18x - 4x = 45- 40

- 22x = 5

x = - ( 5/22)

Answer:

A=13

hope this helped!!!

Answer:

-13

Step-by-step explanation:

-50=6a+28

collect like terms

-50-28=6a

-78=6a

divide both sides by the coefficient of a

-78/6=6a/6

a=-13

Answer:

[tex]1 \frac{2}{6} [/tex]

Step-by-step explanation:

[tex]8 \times \frac{1}{6 } = \frac{8}{6} = 1 \frac{2}{6} [/tex]