A community hall is in the shape of a cuboid.
The hall is 20m long, 15m wide, and 4m high.

Answer:

x ∈ 〈-∞,-5/2]∪[3,+∞〉

Step-by-step explanation:

2x²-x-15 ≥ 0

2x²+5x-6x-15 ≥ 0

x(2x+5)-3(2x+5) ≥ 0

(2x+5)(x-3) ≥ 0

so

2x+5 ≥ 0

x-3 ≥ 0

2x+5 ≤ 0

x-3 ≤ 0

solve the equation

x ≥ -5/2

x ≥ 3

x ≤ -5/2

x ≤ 3

x ∈ [3,+∞〉

x ∈ 〈-∞,-5/2]

so x ∈ 〈-∞,-5/2]∪[3,+∞〉

Answer: what number line

Step-by-step explanation:

Answer:

y=2

x=3

Step-by-step explanation:

make x - y = 1 into x= y + 1

put that wherever x is in the other equation

so y + 1 + 2y =7. then combine like terms into 3y =6. then divide 6 by 3 so you get y = 2

then substitute 2 into the y in the equation x - y = 1 and you get x = 3

METHOD OF ELIMINATION:

Given pair of linear equations are:

x+2y= 7 – – – Eqn(i)

On comparing with a1x+b1y+c1 = 0

x-y = 1 – – – Eqn(ii)

On comparing with a2x+b2y+c2 = 0

a1/a2 = 1/1 = 1

b1/b2 = 2/-1 = -2

c1/c2 = -7/-1 = 7

We have,

a1/a2 ≠ b1/b2 ≠ c1/c2

So, Given pair of linear equations in two variables have a unique solution.

Now,

On Subtracting eqn(ii) from eqn(i) then

x+2y = 7

x-y = 1

(-)

_______

0 +3y = 6

_______

⇛ 3y = 6

⇛ y = 6/3

⇛ y = 2

On Substituting the value of y in (1) then

⇛ x-2 = 1

⇛ x = 1+2

⇛x = 3

Answer: Therefore , the value of x and y with be (3,2) respectively.

Additional comment:

Answer:

1 and 4

Step-by-step explanation:

Answer:

ı wanna learn abot it

Step-by-step explanation:

ı think u should make -b/2a and b^2-4ac

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12

Answer:

13/15

Step-by-step explanation:

15 is the least common denominator,

so 1/5 = 3/15

2/3 = 10/15

3/15 + 10/15 = 13/15

It can't be reduced.

Answer:

Step-by-step explanation:

The lowest common multiple of these 2 denominators is 3 * 5 since 3 and 5 are prime to each other. (They share no common factor.)

1/5 * 3/3 = 3/15

2/3 * 5/5 = 10/15

3/15 + 10/15 = 13 / 15

Answer:

No

Step-by-step explanation:

Khan told me ;p

Answer:

No

Step-by-step explanation:

Answer:

Bilemedim fotoğrafını çeksen daha iyi olur kankacim çok güzel birisin

There are 2.6 pounds of flour.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

The recipe calls for 1.2 kilograms of flour.

Now,

Since, The recipe calls for 1.2 kilograms of flour.

We know that;

⇒ 1 kg = 2.2 pounds

So, 1.2 kg = 1.2 × 2.2 pounds

               = 2.6 pounds

Thus, There are 2.6 pounds of flour.

Learn more about the measurement unit visit:

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Answer:

a) 72cm²

b) 9 cm²

c) 9 cm²

d) 54 cm²

Step-by-step explanation:

a) The area A of a rectangle is given by the formula, A=lw

12 * 6 = 72cm²

b) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

(6 * 3) : 2 = 9 cm²

c) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

(6 * 3) : 2 = 9 cm²

d) To find the area of the parallelogram, multiply the base of the perpendicular by its height.

(12 - 3) * 6 = 54 cm²

Answer:

Line 3

Step-by-step explanation:

Line three should be

2*3*sqrt(5)-3sqrt(5)

Answer:

$168

Step-by-step explanation:

1  dozen = 12

proportions

12 books ⇔ $144

14 books ⇔ $B

B = 144*14/12

B = $168

Answer:

x = − 3 y + 7

Step-by-step explanation:

Reorder  7  and  − 3

Answer:

30 feet

Step-by-step explanation:

The height of the tree is 24 feet casting a shadow of 40 feet long.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Assuming the height of the tree to be x feet.

15 : 25 : : x : 40.

15/25 = x/40.

25x = 600.

x = 24

learn more about proportion here :

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Answer

Well I’d distribute first

So if simplified you’d get

6x-9x+12=13

-3x+12=13

-3x=1

x= 1/-3

X is - 1/3

Answer:

False

Step-by-step explanation:

Hope this helped

Answer: the first graph (A)

Step-by-step explanation: are you actually low IQ or intellect this is the most easiest question I have ever seen I just finished this topic in my honor math class like last month in a week. BTW I am in the 9th grade

Now I got to tutor you so here you can use the process of elimination which you can see that < without the line below it means that the line is dotted and is the only one with a y-intercept of +2 is A and D are the only ligament answer now you dumc as i can't curse due to that i will get reported, so anyways go up 2 and go 1 to the right because it is 2x which is 2/1x rise/run and it is positive which means D is wrong because it has a negative slope which the only answer for this is A now get your (can't say) together and study.

Answer:

x = 14[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14

Using Pythagoras' identity in the right triangle

x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )

x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]

Answer:

96 Servings

Step-by-step explanation:

Divide the total 72 cups by the serving, 0.75 cup, which equals 96 servings

Answer:

96 servings

Step-by-step explanation:

Divide the total amount, 72 cups, by each serving, .75 cups, to get the amount of servings, 96.

[tex]\frac{72}{0.75} = 96[/tex]

Answer:

  p(c) = 3c +5

Step-by-step explanation:

Effectively, you want to solve for p.

  6c = 2p -10

  6c +10 = 2p

  3c +5 = p

  p(c) = 3c +5 . . . . function notation (p is a function of c)

Answer:

65.214

Step-by-step explanation:

0x100=0

6x10=60

5x1=5

2x(1/10)=0.2

1x(1/100)=0.01

4x(1/1000)=0.004

add all of these values up. hope this helps!

Answer:

Step-by-step explanation:

x=2,−5,5

if any doubt leave a comment

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Answer:

10 cents per apple

Step-by-step explanation:

1 divided by 10 which is 1. And move the decimal one place to the left, leaving you with .1 or 0.1 or 0.10

Answer:

5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: If it was the other way around I would have helped you  

Step-by-step explanation:

e.g.    

Answer:

x=-2  and y=5

x=-1 and y=4

Step-by-step explanation:

hope tha work

Answer:12m

Step-by-step explanation:

Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2

15^2 = 9^2 + x^2

225-81 = x^2

144 = x^2

x = 12m

Answer:

x=50

Step-by-step explanation:

Let's solve your equation step-by-step.

√8x - 8 - 8 = 4

√8x - 16 = 4

Step 1: Add 16 to both sides.

√8x - 16 + 16 = 4 + 16

√8x = 20

Step 2: Solve Square Root.

√8x = 20

8x = 20^2 ( Square both sides )

8x = 400

8x/8 = 400/8 (Divide both sides by 8)

x = 50

HOPES THIS HELP :)

Answer:

Slope is -2x

Step-by-step explanation:

2x + y =5

2x-2x +y= 5 -2x

y= 5 -2x

so y= -2x+5

and the slope is -2x so the answer is -2x