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goblinko [34]
3 years ago
10

Give two or more solutions to x< 29. Show why each value is a solution.

Mathematics
1 answer:
xeze [42]3 years ago
7 0

Answer:

x = 10

x = -10

Step-by-step explanation:

x = 10

We can start by comparing the tens digit, as each number has two digits.

29 vs 10

2 vs 1

2 is greater than 1; therefore, as the biggest digit is larger and each number has the same amount of digits, 29 > 10 and x= 10 < 29

x = -10

29 is positive, and -10 is negative. Any negative number is smaller than any positive number, so x = -10 < 29

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DanielleElmas [232]
Okay, so the open sentence is basically telling you that -2 is less than or equal to n+4, and n+4 is less than or equal to seven. Do you know where to go from there?
8 0
4 years ago
PLEASE HELP!!!!! I NEED THIS FAST!!!!!!
ioda
Who says V1=V2?
if we simplify we get
(2/3)pir₁³=12pir₂²
for V1 to equal V2


a.
solve for r₁ to find r₁ as a function of r₂
(2/3)pir₁³=12pir₂²
times 3/2 both sides and divide by pi
r₁³=18r₂²
cube root both sides
r₁=∛(18r₂²)

if solve for r₂
(2/3)pir₁³=12pir₂²
divide by 12pi both sides
(1/18)r₁³=r₂²
squer root both sides
√((1/18)r₁³)=r₂



double radius of pond which is r1
√((1/18)r₁³)=r₂
r₁ turns to 2r₁ to double radius
√((1/18)(2r₁)³)=r₂double
√(8(1/18)(r₁)³)=r₂double
(√8)(√((1/18)(r₁)³))=r₂double
√((1/18)r₁³)=r₂ so
(√8)(r₂)=r₂double
(2√2)(r₂)=r₂double
the radius of the tank is multipled by 2√2
5 0
3 years ago
Braelyn is writing an equation to represent the perimeter of a rectangle with the width equal to half the length. She knows that
kramer

Answer:

I believe the answer would be 4,5,6.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which quadrilaterals have all of the properties of a parallelogram? a.rhombus, kite, and trapezoid
KengaRu [80]
Hey there!

Your answer would be rhombus, rectangle, square because they all have 2 pairs of parallel sides.
7 0
3 years ago
Read 2 more answers
If f(x) = x3 – x2 – 3, which of the following is equal to g(x) = f(2 – x)?
Andru [333]

Answer:

-x^3+5x^2-8x+1, which is choice A

======================================

Work Shown:

f(x) = x^3 - x^2 - 3

f(x) = (x)^3 - (x)^2 - 3

f(2-x) = (2-x)^3 - (2-x)^2 - 3 ................ see note 1 (below)

f(2-x) = (2-x)(2-x)^2 - (2-x)^2 - 3 ........... see note 2

f(2-x) = (2-x)(4-4x+x^2) - (4-4x+x^2) - 3 ..... see note 3

f(2-x) = -x^3+6x^2-12x+8 - (4-4x+x^2) - 3 ..... see note 4

f(2-x) = -x^3+6x^2-12x+8 - 4+4x-x^2 - 3 ....... see note 5

f(2-x) = -x^3+5x^2-8x+1

----------

note1: I replaced every copy of x with 2-x. Be careful to use parenthesis so that you go from x^3 to (2-x)^3, same for the x^2 term as well.

note2: The (2-x)^3 is like y^3 with y = 2-x. We can break up y^3 into y*y^2, so that means (2-x)^3 = (2-x)(2-x)^2

note3: (2-x)^2 expands out into 4-4x+x^2 as shown in figure 1 (attached image below). I used the box method for this and for note 4 as well. Each inner box or cell is the result of multiplying the outside terms. Example: in row1, column1 we have 2 times 2 = 4. You could use the FOIL rule or distribution property, but the box method is ideal so you don't lose track of terms.

note4: (2-x)(4-4x+x^2) turns into -x^3+6x^2-12x+8 when expanding everything out. See figure 2 (attached image below). Same story as note 3, but it's a bit more complicated.

note5: distribute the negative through to ALL the terms inside the parenthesis of (4-4x+x^2) to end up with -4+4x-x^2


4 0
4 years ago
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