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jok3333 [9.3K]
3 years ago
13

Six more than 3 times the number is less than or equal to 96

Mathematics
1 answer:
stepan [7]3 years ago
3 0

To answer this question, write an equation to model the situation and solv for x:

6+3x≤96

<em>*Subtract 6 from both sides*</em>

3x≤90

<em>*Divide both sides by 3*</em>

x≤30


The answer is x≤30.


Hope this helps!!

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Answer: 0

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Answer:

subtract 22 on both sides

Step-by-step explanation:

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Given a table of values of a quadratic function, which of the following do you absolutely need in order to find its equation? *
nadya68 [22]

Answer:

The general form of a quadratic function is --> y = ax2 + bx + c

Since (0, -2) exists for the function, we can plug in those values:

-2 = a(0)2 + b(0) + c

-2 = 0 + 0 + c

-2 = c

So now our function so far is --> y = ax2 + bx - 2

We have two pairs of coordinates left: (-1, -8) and (3, -8).

First, plug in the first pair and simplify as much as you can:

-8 = a(-1)2 + b(-1) - 2

-8 = a - b - 2 ( add 2 to both sides )

-6 = a - b (stop here because we can't go further)

Second, plug in the second pair and simplify as much as you can:

-8 = a(3)2 + b(3) - 2

-8 = 9a + 3b - 2 ( add 2 to both sides )

-6 = 9a + 3b (stop here because we can't go further)

Now we have these two equations left:

a - b = -6

9a + 3b = -6

Now we solve for a and b using systems of equations, using one of three ways:

substitution

elimination

graphing (not my favorite, but it is doable)

Using substitution:

a - b = -6 can be rewritten as a = b - 6

plug into the second equation and solve for b

9(b - 6) + 3b = -6 (distribute the 9)

9b - 54 + 3b = -6 (combine all of the b's)

12b - 54 = -6 (add 54 to both sides)

12b = 48 (divide by 12 on both sides to isolate b)

b = 4

plug b into one of the original two equations

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a = -2

The quadratic equation for this table is y = -2x2 + 4b - 2

6 0
2 years ago
A cone has the radius of 5 inches and height of 5 inches. What is the volume of the cone to the nearest tenth in3? Use 3.14
olasank [31]
Your answer would be 125.4 cause the number is too small to be 130 so yeah hope this helps

7 0
3 years ago
What is the interval notation for x+1&gt;34?
vodka [1.7K]

Explanation:

<u><em>First you subtract by -1 both sides of an equation.</em></u>

<u><em>x+1-1=34-1</em></u>

<u><em>Then, simplify the number.</em></u>

<u><em>34-1=33</em></u>

<u><em>x>33</em></u>

<u><em>Or interval notation 33,∞ </em></u>

<u><em>Final answer: → x>33 and 33,∞</em></u>

<u><em>Hope this helps!</em></u>

<u><em>Thanks!</em></u>

8 0
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