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madreJ [45]
3 years ago
7

Solve with work shown. X/3+6 equals -6

Mathematics
1 answer:
8090 [49]3 years ago
6 0
We start out with x/3+6=-6. Subtract 6 from both sides, and you get x/3=-12. Multiply the equation by three and you get x=-36. x=-36 should be your final answer.
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Determine, using the intermediate value theorem, if the function F(x)=x^3+2x-1 has a zero on the interval [0,1]. Justify your an
SSSSS [86.1K]

Plug x = 0 into the function

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

f(0) = 0^3 + 2(0) - 1

f(0) = -1

Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.

Repeat for x = 1

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

f(1) = 1^3 + 2(1) - 1

f(1) = 2

This result is positive.

---------------------------

We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.

To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515

7 0
3 years ago
Which expression can be written as 5 x (2 + 7)
swat32
The correct answer is definitely C.
8 0
3 years ago
Read 2 more answers
Find an equation of the circle that has center (-1,2) and passes through (5,-4).
kherson [118]
General equation for a circle
(x - a)² + (y - b)² = r²
with (a,b) represents the center, (x,y) represents one of the points lie on the circle, and r represents the radius

Determine r² by substituting the points into the general equation
(x - a)² + (y - b)² = r²
(5 - (-1))² + (-4 - 2)² = r²
(5 + 1)² + (-6)² = r²
6² + 36 = r²
36 + 36 = r²
72 = r²

Determine the equation of the circle
(x - a)² + (y - b)² = r²
(x - (-1))² + (y - 2)² = 72
(x + 1)² + (y - 2)² = 72 (This is the equation of the circle)
8 0
3 years ago
Calculate cose to two decimal places.
Monica [59]

Answer:

B. 0.69

Step-by-step explanation:

Law of Cosines: cos A = (b² + c² - a²) / 2bc

cosθ = (7² + 11² - 8²) / 2*7*11 = 106/154 = 0.688 ≈ 0.69

4 0
3 years ago
4. Lamar sells canned pantry goods the farmers market. He sells $18 for each jar. It
Black_prince [1.1K]

Answer:

C or D as they are Identical

Step-by-step explanation:

8 0
3 years ago
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