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Anastaziya [24]
3 years ago
15

Which inequality is true for x = 3?

Mathematics
1 answer:
posledela3 years ago
3 0
Hello!

You can put 3 in for x and see which on is true
-----------------------------------------------------------------------------------------------------------------
Inequality A

6(3) + 18 < 30

Multiply

18 + 18 < 30

Add

36 < 30

This is not true so this is not the answer
------------------------------------------------------------------------------------------------------
Inequality B

8(3) - 4 < 10

Multiply

24 - 4 < 10

Subtract

20 < 10

This is not true so this is not the answer
------------------------------------------------------------------------------------------------------
Inequality C

10(3) + 10 < 37

Multiply

30 + 10 < 37

Add

40 < 37

This is not true so this is not the answer
------------------------------------------------------------------------------------------------------
Inequality D

15(3) - 10 < 40

Multiply

45 - 10 < 40

Subtract

35 < 40

This is true so this is the answer
------------------------------------------------------------------------------------------------------
The answer is D) 15x - 10 < 40

Hope this helps!
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Factor completely 2x^3 + 6x^2 + 10x + 30
andrezito [222]

Answer:

The factored expression is 2(x² + 5)(x + 3).

Step-by-step explanation:

Hey there!

We can use a factoring technique referred to as "grouping" to solve this problem.

Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.

Grouping works in the following matter:

  1. Given equation: ax³ + bx² + cx + d
  2. Group a & b, c & d: (ax³ + bx²) + (cx + d)
  3. Pull GCFs and factors

Let's apply these steps to the given equation.

  1. Given equation: 2x³ + 6x² + 10x + 30
  2. Group a & b, c & d: (2x³ + 6x²) + (10x + 30)
  3. Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)

As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.

Now, we use our GCFs to create another factor.

  1. List GCFs: 2x², 10
  2. Create a term: (2x² + 10)

Finally, we'll need to simplify this one by taking another GCF, 2.

  1. Pull GCF: 2(x² + 5)

Now that we have this term, we need to understand that this <em>could</em> also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.

Therefore, we have our final factors: 2(x² + 5) and (x + 3).

However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).

7 0
3 years ago
Yertle the turtle and his 362 turtle buddies went swimming in 3 different ponds. if the same number of turtles swim in each pond
konstantin123 [22]
There are 363 turtles (including yertle) 
there are 3 different ponds and the same # in each pond. you simply divide the number of turtles by 3 because there are 3 different ponds. 

363/3=121 
there 121 turtles in each pond 
8 0
3 years ago
1 quart is equal to 4 cups given this fact what is 8 quarts equivalent to in cups
SVETLANKA909090 [29]
8 quarts is equal to 32 cups :)
5 0
3 years ago
Multiply.
Kamila [148]
Expand the following:
(x - 6) (3 x^2 + 10 x - 1)
Hint: | Multiply out (x - 6) (3 x^2 + 10 x - 1).
 | | | | x | - | 6
 | | 3 x^2 | + | 10 x | - | 1
 | | | | -x | + | 6
 | | 10 x^2 | - | 60 x | + | 0
3 x^3 | - | 18 x^2 | + | 0 x | + | 0
3 x^3 | - | 8 x^2 | - | 61 x | + | 6:
Answer:  3 x^3 - 8 x^2 - 61 x + 6 Thus B:
7 0
3 years ago
Amy drove her car 241 miles. The car used 8.07 gallons of gasoline on the drive. Estimate the cars gasoline mileage in miles per
Ket [755]
Miles driven in 8.07 gallons = 241 miles
Miles driven in 1 gallons      = (241/8.07) * 1
                                            = 29.86 miles
5 0
3 years ago
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