Question 7
Which graph best represents the solution to the following inequality?
+ 5 > 11
A
16
17
19 20 21 22
23 24 25
O
15
16
17
18 19 20 21 22
23
24 25
c.
10 11
3 4 5
12
15
13 14
D.
8
10
11
12
13
14
15

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:

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:

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:

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:

Answer choices:

a. Reflection takes it to Q2, further rotation takes it back to Q3

b. Reflection takes it to Q2, rotation takes to Q4 with right shape.

c. Rotation takes is to Q4, translation keeps in same Q but with wrong shape

d. Translation takes it to Q4, reflection keeps it in same Q but with wrong shape

Because the shape is present in Q3

So reflection over x axis takes it to Q2

Then 180° rotation about origin takes it to Q4

Hence Option B is correct

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:

400

Step-by-step explanation:

[tex] {20}^{2} = 20 \times 20[/tex]

that is equal to 400

Answer: 400

Step by step explanation:

20*20= (2*2)*(10*10)= 4*100=400

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:

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.

Answer:

42 students

Step-by-step explanation:

If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses.  Since there were 9 buses, 378 / 9 = 42.  Therefore, there were 42 students in each bus.

Answer:

7 + b/5 = 4

OR

b/5 + 7 = 4

Step-by-step explanation:

also, b = -15

Answer:

A

Step-by-step explanation:

x=13

so, A.T.Q

13-5+7=15

13+2=15

15=15

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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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)

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.

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:

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:

Length(L) = y

perimeter of square = 4L

since L = y

so perimeter of square is 4y

Answer:

12 - (1/4)x

Step-by-step explanation:

quarter of x is (1/4)x

Now, minus that from twelve.

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.

Answer:

705.92

Step-by-step explanation:

hope it's help

#MASTER GROUP

# FIRST MASTER

# PHILIPPINES

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:

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:

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

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:

3/4×3 = 2.25

2/4×1= 0.5

Step-by-step explanation:

how it helps u

Answer:

C.

law of contrapositive

Answer:

law of contrapositive

Step-by-step explanation: