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2 years ago

Please solve and please make sure your correct

Mathematics

1 answer:

Mazyrski [523]2 years ago

3 0

Answer:

(a) The ones that are equivalent to the given fraction are: $\frac{2}{-9}$ and $-\frac{2}{9}$

(b) The one that is equivalent to the given fraction is: $\frac{-8}{-5}$

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In the diagram below BD is parallel to XY what is the value of Y

LiRa [457]

Given:

BD is parallel to XY.

One of the angle is 85°

To find:

The value of y.

Solution:

Parallel lines BD and XY cut by a transversal line.

Angle y and 85° are alternate interior angles.

Alternate interior angle theorem:

If two parallel lines are cut by a transversal line, then the pairs of alternate interior angles are congruent.

⇒ y = 85°

The value of y is 85.

4 0

3 years ago

Read 2 more answers

Please help me, im struggling

Molodets [167]

Part 1

$f(a)=4-7a+16a^2$

Part 2

$f(a+h)=4-7(a+h)+16(a+h)^2\\\\=4-7(a+h)+16(a^2 +2ah+h^2)\\\\=4-7a-7h+16a^2 +32ah+16h^2$

Part 3

$\frac{f(a+h)-f(a)}{h}=\frac{(4-7a-7h+16a^2 +32ah+16h^2-(4-7a+16a^2)}{h}\\\\=\frac{-7h+32ah+16h^2}{h}\\\\=32a+16h-7$

7 0

1 year 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

The number of classes you are taking this semester is a discrete variable

Zarrin [17]

Answer:

true

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Y= 2x + 1 X+ 3y = 10 A.0 B.1 C.2 D.3

3241004551 [841]

becauseitxlnext!,xr.k

6 0

2 years ago