MATHEMATICS HIGH SCHOOL

What is the value of x in the equation 3(2x + 4) = −6?a) −3
b)1
c)12
d)19

Answers

Answer 1
Answer: A. 2x-3= -6+4= -2x3= -6
Answer 2
Answer: Your answer is A. -3

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Six is less than or equal to the sum of 4 and -2x
What is the area, in square, of the rectangle?Sides 2 ---- 9 Top and bottom 3 ---- 7
Anita and Maria went to the candy store. Maria bought 5 pieces of fudge and 3 pieces ofbubble gum for a total of $5.70. Anita bought 2 pieces of fudge and 10 pieces of bubblegum for a total of $3.60. Determine the cost of 1 piece of bubble gum.
34 is a multiple of 4. true or false?
R=x²/yx=3.8×10^5y=5.9×10^4work out the value of R in standard form.

an open rectangular box with square ends is fitted with an overlapping lid that covers the top and front face determine the maximum volume of the box if 1square meter of metal is used in its construction

Answers

Volume is a three-dimensional scalar quantity. The maximum volume of the box is 0.8m³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Surface area of the box = 2x² + 3xy

Surface area of lid = 2xy

Total area = 2x² + 5xy = 6

y = (6-2x²)/5x

Volume of the box, V = x²y

V = x²[(6-2x²)/5x] = (6x/5)-(2x³/5)

Now, for the volume to be the maximum,

dV/dx = 0

(6/5)-(6x²/5) = 0

x² = 1

x = ±1

y = 4/5

Thus, the maximum volume of the box = x²y = (1)²×(4/5) = 0.8 m³

Hence, the maximum volume of the box is 0.8m³.

Learn more about Volume:

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so would it be 8 meters because it has 8 sides 

Jase wrote the prime factorization of 99. Which expressions could he have written? Select all that apply. A. 32 × 11 B. 9 × 9 C. 3 × 3 × 3 × 11 D. 34 E. 3 × 3 × 11

Answers

Answer:

E. 3 × 3 × 11

Step-by-step explanation:

A prime number is any number that is only divisible by 1 and itself. e.g. 2,3,7,11,...

To write the prime factorization of any number, all numbers in the product must be prime.

Therefore, the prime factorization of 99

99= 9X 11=3 X3 X11

Answer:

3^2x11 and 3x3x11

your welcome angel!

What is the product of (x+1) and (2x^2+3x-1)?

Answers

(x + 1)(2x^2 + 3x - 1) : Can be solved in multiple ways but easiest for me :P

x (2x^2 + 3x - 1) + 1(2x^2 + 3x - 1)

(2x^3 + 3x^2 - x) + (2x^2 + 3x - 1)

2x^3 + 5x^2 + 2x - 1

7. 2.1 + 3.32 – 1.4 = ?

Answers

Hi there! :) The answer to your question is 4.02. I did 2.1+3.32= 5.42 then I did 5.42-1.4= 4.02. That I how I got the answer.

Hope I helped! ;D
4.02, first you add together 2.1 and 3.32, then once you get that answer (5.43); you subtract 1.4. Remember that when adding and subtracting to always go left to right.

A) SSS
B) SAS
D) ASA
E) AAS
F) HL
G)not congruent

Answers

Answer: E) AAS

Explanation:

AAS stands for Angle Angle Side. The order is important because the side is not between the angles.

The diagram shows that

  1. angle A = angle D
  2. angle C = angle F
  3. side AB = side DE

Items 1 and 2 above correspond to the "A"s of "AAS", while item 3 refers to the "S".

Once again, the order of AAS is important. We don't go for ASA because side AB is not between angles A and C. Same for DE not between angles D and E.

This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellite is placed in orbit. What is the volume of the nose cone?45 cubic feet
60 cubic feet
90 cubic feet
180 cubic feet

Answers

see the attached figure to better understand the problem

we know that

The volume of the cone is equal to

V=(1)/(3) \pi r^(2) h

in this problem

r=(6)/(2) =3\ ft\n \n h=15\ ft

Substitute the values in the formula above

V=(1)/(3)* \pi* 3^(2)* 15\n \n V=45\pi \ ft^(3)

therefore

the answer is

The volume of the nose cone is 45\pi \ ft^(3)
The formula to get the volume of a cone is
V = (1/3)πr²h
where V is the volume
r is the radius at the base
h is the height

No values are given but simple substitution should give the correct answer.
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