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jenyasd209 [6]
3 years ago
5

Which values from the given replacement set make up the solution set of the inequality?

Mathematics
1 answer:
k0ka [10]3 years ago
5 0

Answer:

The answer is {4, 5, 6}

Step-by-step explanation: Because u have to do the math step by step with each number thats how u get the answer. And trust me its right because i got a 100%

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Please help me! I'm stuck and really confused, thank you so much!
Kryger [21]

Answer:

(a) 5 * (2x - 1) = 10x - 5

(b) 6 * x = x + 2x + 3x

(c) \frac{1}{2}(x - 6) = \frac{1}{2}x - 3

(d) y(3x + 4z) = 3xy + 4yz

(e) z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz

Step-by-step explanation:

Solving (a):

Given

10x - 5

Required

Express as a product

Express 10x as 5 * 2x

10x - 5 = 5 * 2x - 5

Apply distributive property

10x - 5 = 5(2x - 1)

10x - 5 = 5 * (2x - 1)

So:

5 * (2x - 1) = 10x - 5

Solving (b):

Given

x + 2x + 3x

Required

Express as a product

Express 2x and 3x as 2 * x and 3 * x, respectively

x + 2x + 3x = x + 2*x + 3*x

Apply distributive property

x + 2x + 3x = x(1 + 2 + 3)

x + 2x + 3x = x(6)

x + 2x + 3x = 6*x

So:

6 * x = x + 2x + 3x

Solving (c):

Given

\frac{1}{2}(x - 6)

Required

Express as a sum/difference

Apply distributive property

\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{1}{2}*6

\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{6}{2}

\frac{1}{2}(x - 6) = \frac{1}{2}x - 3

Solving (d):

Given

y(3x + 4z)

Required

Express as a sum/difference

Apply distributive property

y(3x + 4z) = 3x * y + 4z * y

y(3x + 4z) = 3xy + 4yz

Solving (e):

Given

2xyz - 3yz + 4xz

Required

Express as a product

Factorize

2xyz - 3yz + 4xz = 2xy * z - 3y * z + 4x * z

Apply distributive property

2xyz - 3yz + 4xz = z(2xy - 3y + 4x)

So:

z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz

8 0
3 years ago
Evaluate the function f(x) = 3x + 5 for each of the following input values:
MakcuM [25]
To find the output, we simply plug in the input values into our x-values.

For a) we will input 0 where x is. 3(0)+5= 5. So the answer for A) is 5.

For b) we will input 4 where x is. 3(4)+5= 17. So the answer for B) is 17.

Please heart & rate and consider giving brainliest answer to answers you find helpful! :)
4 0
3 years ago
Read 2 more answers
In ΔJKL, KL = 14, LJ = 11, and JK = 4. Which list has the angles of ΔJKL in order from smallest to largest?
k0ka [10]

Answer:

m<L, m<K, m<J

Step-by-step explanation:

The angle that sees the longest side length has the biggest measurement

so

for listing the angles from smallest to largest

m<L, m<K, m<J

6 0
3 years ago
I took a picture of the problem.​
olya-2409 [2.1K]

Answer:

0.25

Step-by-step explanation:

In the 52-card pack, 13 cards are diamond cards.  Thus, the probability of drawing a diamond card is 13/52, or 0.25.

4 0
3 years ago
if a cost for a dinner is 459 and the family wants to leave a 20% tip, with the sales tax of 7% also, what is the total cost?
LenaWriter [7]

Answer:

$589.33

Step-by-step explanation:

5 0
3 years ago
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