Write your answer as an integer or as a decimal rounded to the nearest tenth

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:

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.

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:

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:

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:

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.

Learn more about the number system here:

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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

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:

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

Answer:

3/4×3 = 2.25

2/4×1= 0.5

Step-by-step explanation:

how it helps u

Answer:

1/6 and 40

Step-by-step explanation:

for 1/6 you can get the answer by getting 1/2 chicken = 3/6 then 1/3 tomato soup = 2/6 and you have 1/6 left which will be the answer.

For the number of people, 1/6 is equal to 40 because 240 divided by 6 equals 40

Answer:

A

Step-by-step explanation:

x=13

so, A.T.Q

13-5+7=15

13+2=15

15=15

10 lbs of raisins contains 20% water by weight, so they contain

0.20 × (10 lbs) = 2 lbs

of water. This means the non-water portion of the raisins weighs 8 lbs. This weight stays the same throughout the drying process.

As grapes, they had a total weight of

8 lbs + w

where w is the water weight, and w happens to be 92% of this total weight. So

w = 0.92 × (8 + w)

Solve for w :

w = 7.36 + 0.92w

0.08w = 7.36

w = 92

Then the total weight of the grapes before they dried out is 100 lbs.

Answer:

705.92

Step-by-step explanation:

hope it's help

#MASTER GROUP

# FIRST MASTER

# PHILIPPINES

Answer:

elon musk

Step-by-step explanation:

he is a god on earth who drinks apples while eating tables in the milk ecosystem when hulk killed superman in washington-nigeria.

Answer:

Step-by-step explanation:

She owes                                   70

She pays                     200

She gets                                   150

So the story is            200       220

She pays 200 and gets 220 including the furniture.

She 20 dollars to the good.

Step-by-step explanation:

8(b ÷ 2) - (c + 4)

(Putting values of b = 1/2 and c = 1/4)

[tex] = 8( \frac{1}{2} \div 2) - ( \frac{1}{4} + 4)[/tex]

[tex] = 8( \frac{1}{2} \times \frac{1}{2} ) - ( \frac{1 + 16}{4} )[/tex]

[tex] = 8 \times \frac{1}{4} - \frac{17}{4} [/tex]

[tex] = 2 - \frac{17}{4} [/tex]

[tex] = \frac{8 - 17}{4} [/tex]

[tex] = - \frac{9}{4} (ans)[/tex]

Answer:

It is A). -9/4

Step-by-step explanation:

[tex]8(b \div 2) - (c + 4)[/tex]

when b is ½ and c is ¼ :

[tex] = 8( \frac{1}{2} \div 2) - ( \frac{1}{4} + 4) \\ \\ = 8( \frac{1}{4} ) - ( \frac{17}{4} )[/tex]

open brackets:

[tex] = \frac{8}{4} - \frac{17}{4} [/tex]

from LCM formular:

[tex] = \frac{8 - 17}{4} \\ \\ = \frac{ - 9}{4} [/tex]

Answer:

C.

law of contrapositive

Answer:

law of contrapositive

Step-by-step explanation:

Answer:

12 - (1/4)x

Step-by-step explanation:

quarter of x is (1/4)x

Now, minus that from twelve.

3x

x+3

x-3

x/3

x³

3^x (write the x small and above the 3 the same way as the 3 is written with the x above)

Answer:

Step-by-step explanation:

2)

Answer:

Juan- $238

Mary- $147

Step-by-step explanation:

if they earn $7 an hour then you would multiply that by how many hours they worked. So 34×7=238 for Juan and 21×7=147 for Mary.

Answer:

Step-by-step explanation:

ab² + 2a²b + a³ = a(b² + 2ab + a²)

Here variable 'a' is common in all the terms. HCF = a

2) 2ab² = 2 * a * b *b

   4a²b = 2 * 2 *a * a * b

6a³        = 2 * 3 * a * a * a

HCF = 2a

2ab² - 4a²b - 6a³ = 2a(b² - 2ab - 3a²)

Answer:

0.023682692307692

Step-by-step explanation:

Above one is correct

Answer:

none of those answers are right the answer is 0.0236826923

Step-by-step explanation:

Answer:

30 , 20

Step-by-step explanation:

Let the other number  = x

[tex]p = \dfrac{2}{3}x\\[/tex]

x - p = 10    

Plugin p = (2/3)x in this equation,

[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]

Multiply both side by 3

x = 10*3

x = 30

[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]

p = 20

Answer:

30 and 20

Step-by-step explanation:

We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so

p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )

3p - 2p = 30 , that is

p = 30

and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20

The 2 integers are 30 and 20

Answer:

7, 11, 15, 19, 23, ... To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.

hope this helped!!!

Answer:

t = Gx + a

Step-by-step explanation:

G = t - a/x             (Given)

G(x) = (t - a/x)x     (Multiply x on both sides)

Gx = t - a              (Simplify)

Gx + a = t - a + a  (Add a on both sides)

Gx + a = t             (Simplify)

Answer:

never

Step-by-step explanation:

p->q means if p is true, then q must also be true

but since q is false, p->q is never true

Answer: Never

Explanation:

The notation p -> q refers to a conditional statement.

Conditionals are only false when the first part (p) is true while the second part (q) is false. In other words, the template true --> false ultimately leads to a false statement. Otherwise, the entire thing is true.

In our case, we have something that fits the "true -> false" template, so that's why p -> q is never true when p = true and q = false.