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4 years ago

I need help figuring out which ones are positive and what ones are positive?

Mathematics

1 answer:

aalyn [17]4 years ago

5 0

First one is positive second one is negative third one is negative fourth one is positive and the last one is positive

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1 3/2 × 9/8 State your answer as a mixed number in simplest form.

zhuklara [117]

Answer:

The answer is 1 13/27.

Step-by-step explanation:

First, convert any mixed numbers to fractions --

the initial equations then reads as 5/3 x 8/9.

Then, applying the fractions formula for multiplication --

5 x 8 / 3 x 9

40/27

Simplifying the above --

1 13/27

5 0

3 years ago

What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5

jeyben [28]

Answer:

$\displaystyle c = \frac{20}{3}$

Step-by-step explanation:

According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.

We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.

So, differentiate the function. We can take the derivative of both sides with respect to x:

$\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right]$

Differentiate:

$g'(x) = -21x^2+182x-280$

Let g'(x) = 0:

$0 = -21x^2+182x-280$

Solve for x. First, divide everything by negative seven:

$0=3x^2-26x+40$

Factor:

Zero Product Property:

$x-2=0 \text{ or } 3x-20=0$

Solve for each case. Hence:

$\displaystyle x=2 \text{ or } x = \frac{20}{3}$

Since the first solution is not within our interval, we can ignore it.

Therefore:

$\displaystyle c = \frac{20}{3}$

3 0

3 years ago

Assume that lines that appear to be tangent are tangent. O is the center of the circle. In degrees, what is the value of x?

Nastasia [14]

9514 1404 393

Answer:

145

Step-by-step explanation:

In this geometry, the central angle (x°) and the external angle (35°) are supplementary.

x° = 180° -35°

x = 145

4 0

3 years ago

Can u please help me??

frez [133]

Answer:

Given GP:

tₙ = (1/3)ⁿ⁻¹

We see that:

t₁ = 1, r = 1/3

Sum of n terms:

Sₙ = t₁(1 - rⁿ)/(1 - r)
Sₙ = [1 - (1/3)ⁿ] / (1 - 1/3) = [1 - (1/3)ⁿ] / (2/3) = 3/2 [1 - (1/3)ⁿ]
Sₙ = 3/2 [1 - (1/3)ⁿ]

3 0

3 years ago

35% of what number is 35? Please solve all steps using a=p•w

son4ous [18]

35% * X = 35
first you would change 35% to .35
then the equation would be .35 * X = 35
next you would divide .35 from both sides making the equation-
x = 100

then to check plug it in
.35 * 100 = ?
.35 * 100 = 35
want me to message you how to i did it?

4 0

3 years ago