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MrMuchimi
4 years ago
10

9 less than a number is at most the same number divided by 2

Mathematics
1 answer:
Alenkinab [10]4 years ago
7 0

Answer:

x is less than or equal to 18.

Step-by-step explanation:

x - 9 < or = x /2

x - x/2 < or = 9

x/2 < or = 9

x < or = 18

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5. GEOMETRY The volume of a rectangular pyramid is one third the product of the area of its base and its height. Find
tatuchka [14]

Answer:

x³ + 7x² + 15x + 9

Step-by-step explanation:

Given that the volume (V) of a rectangular pyramid is

V = \frac{1}{3} A h ( A is the area of base and h the height ), then

V = \frac{1}{3} (3x² + 12x + 9)(x + 3) ← factor out 3 from A

   = \frac{1}{3} × 3(x² + 4x + 3)(x + 3)

   = (x² + 4x + 3)(x + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x² (x + 3) + 4x(x + 3) + 3(x + 3) ← distribute parenthesis

= x³ + 3x² + 4x² + 12x + 3x + 9 ← collect like terms

= x³ + 7x² + 15x + 9

Thus the expression for the volume is

V = x³ + 7x² + 15x + 9

4 0
3 years ago
A rectangle was rearranged to form a parallelogram. How is the height of the parallelogram similar to and different from the wid
Daniel [21]
A parallelogram is just a rectangle with the sides angled, it’s pretty much the same as a rectangle and all your working out should be the same as a rectangle
5 0
3 years ago
PLS HELPPPPPPPPP PLSSSSSSS
Andrew [12]
1)44
3)44
4)136
i want to say that the other side 5-8 are the same as 1-4 but im not totally sure
7 0
3 years ago
find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches 2:
lbvjy [14]

Answer:

a = 4

b = -2

Step-by-step explanation:

If the given function is continuous at x = 1

\lim_{x \to 1^{-}} f(x)=(x+1)

                     =2

\lim_{x \to 1^{+}} f(x)=ax+b

                     =a+b

\lim_{x \to 1} f(x)=ax+b

                   =a+b

And for the continuity of the function at x = 1,

\lim_{x \to 1^{-}} f(x)=\lim_{x \to 1^{+}} f(x)=\lim_{x \to 1} f(x)

Therefore, (a + b) = 2 -------(1)

If the function 'f' is continuous at x = 2,

\lim_{x \to 2^{-}} f(x)=ax+b

                     =2a+b

\lim_{x \to 2^{+}} f(x)=3x

                     =6

\lim_{x \to 2} f(x)=3x

                   =6

Therefore, \lim_{x \to 2^{-}} f(x)=\lim_{x \to 2^{+}} f(x)=\lim_{x \to 2} f(x)

2a + b = 6 -----(2)

Subtract equation (1) from (2),

(2a + b) - (a + b) = 6 - 2

a = 4

From equation (1),

4 + b = 2

b = -2

3 0
3 years ago
The sum of two times a number and six is equal to two times the sum of a number and three
Serhud [2]

2x+6=2(x+3)

Step-by-step explanation:

let x represent the unknown number

7 0
3 years ago
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