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ArbitrLikvidat [17]
2 years ago
10

Solve the following inequality. 3x+5<6x-1

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
8 0

Answer

x > 2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain the variable

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FInd the GCF of the numbers using prime factorizations.
lesya [120]

Answer:

GCF(330, 75, 450, 225) = 15

Steps:

Prime factorization of the numbers:

330 = 2 × 3 × 5 × 11

75 = 3 × 5 × 5

450 = 2 × 3 × 3 × 5 × 5

225 = 3 × 3 × 5 × 5

GCF(330, 75, 450, 225)

= 3 × 5

= 15

3 0
3 years ago
Yes help me for this maths questions
Elenna [48]
154cm squared this is the only right answer
3 0
2 years ago
Can someone please help me with this last one. I am totally lost and don’t understand
Ad libitum [116K]

Answer:

g(-4) = -1

g(-1) = -1

g(1) = 3

Explanation:

If you are given a function that is defined by a system of equations associated with certain intervals of x, just find which interval makes x true, and then substitute x into the equation of that interval.

For example, given g(-4), this is an expression which is asking for the value of the equation when x = -4. So -4 is not ≥ 2, so ¼x - 1 will not be used. -4 is also not ≤ -1 and ≤ 2, so -(x - 1)² + 3 will not be used either. So in turn, we will just use -1 which is always -1 so g(-4) will just be -1, right because there is no x variable in -1 so it will always be the same.

Using the same idea as before g(-1) is g(x) when x = -1 so -1 will not be a solution because -1 is not less than -1 (< -1). -1 is not ≥ 2 either so we will be using the second equation because -1 is part of the interval -1≤x≤2 (it is a solution to this inequality), therefore -(x - 1)² + 3 will be used.

As x = -1, -(x - 1)² + 3 = -(-1 - 1)² + 3 = -(-2)² + 3 = -4 + 3 = -1.

It is a coincidence that g(-1) = -1.

Now for g(1), where g(x) has an input of 1 or the value of the function where x = 1, we will not use the first equation because x = 1 → x < -1 → 1 < -1 [this is false because 1 is never less than -1], so we will not use -1.

We will use -(x - 1)² + 3 again because 1 is not ≥ 2, 1≥2 [this is also false]. And -1 ≤ 1 < 2 [This is a true statement]. Therefore g(1) = -(1 - 1)² + 3 = -(0)² + 3 = 3

4 0
2 years ago
There are 90 apples shared equally among 6 baskets. Hun buys 1 basket of apples. He uses the apples to make 3 pies. Each pie has
tamaranim1 [39]

Answer:

To find the number of apples per basket we divide 90 by 6 to get 15. We know that he buys 15 apples. We now have to divide by 3 to get the number of apples per pie, because we know he used all 15 apples. The answer is 15/3 or 5 apples per pie. 5 apples

6 0
3 years ago
Read 2 more answers
The y -intercept of the line whose equation is 2 x + 5 y = 8 is
Anastaziya [24]

Answer:

8/5

Step-by-step explanation:

4 0
3 years ago
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