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2 years ago

3/7 divide 2/9 explain pls

Mathematics

2 answers:

lubasha [3.4K]2 years ago

6 0

Answer:

27/14

Step-by-step explanation:

to divide by a fraction flip the fraction over and multiply

3/7 divided by 2/9

flip 2/9

3/7 times 9/2

just multiply the top and bottoms by each other

27/14

Vanyuwa [196]2 years ago

4 0

Answer: 27/14

Step-by-step explanation: It's important to understand that dividing by a fraction means the same thing as multiplying by the reciprocal of that fraction. In other words, we can simply change the division symbol to multiplication and flip the second fraction.

So we can rewrite this problem as 3/7 · 9/2.

When multiplying two fractions together, we multiply across the numerators and we also multiply across the denominators.

So 3/7 · 9/2 is 27/14.

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Please help. Not sure how to do this one

Sladkaya [172]

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Step-by-step explanation:

Given

$f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2$

We have to find

$(hofog)(x)$

This will be equal to:

$h(f(g(x)))$

So we have to find the composition of (fog)(x) first

$(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}$

Now,

$(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}$

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Keywords: Composition, Functions

Learn more about function composition at:

#LearnwithBrainly

8 0

2 years ago

The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.

Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: $(x-3)^{2} + (y+2)^{2} = 25$

Now, comparing it with the general equation of circle: $(x-h)^{2} + (y -k)^{2} = r^2$

we get the central coordinates (h,k) = (3,-2)

So, the slope of the line joining center and (8, -2) = $\frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0$

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = $\frac{-1}{0}$

Now, by point slope formula: the equation of the tangent is

(y-y0) = m (x-x0)

or, $(y +2) = \frac{-1}{0} (x -8)$

or x =8 is the equation of the tangent.

8 0

2 years ago

Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case

lozanna [386]

Answer:

0.3339 = 33.39% probability that both Dave and Mike will show up

Step-by-step explanation:

Probability of independent events:

If A and B are independent events, the probability of both happening at the same time is given by:

$P(A \cap B) = P(A)P(B)$

In this question:

Event A: Dave shows up.

Event B: Mike shows up.

Christine knows that there is a 47% chance that Dave will not show up and a 37% chance that Mike will not show up.

This means that $P(A) = 1 - 0.47 = 0.53, P(B) = 1 - 0.37 = 0.63$ .

a. What is the probability that both Dave and Mike will show up

$P(A \cap B) = P(A)P(B) = 0.53*0.63 = 0.3339$

0.3339 = 33.39% probability that both Dave and Mike will show up

8 0

2 years ago

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alekssr [168]

Answer:

2 hours

Step-by-step explanation:

Slope represents the hourly rate.

Constant represents initial price.

$y = 30 + 6x \\ y = 36 + 3x \\ 30 + 6x = 36 + 3x \\ 3x = 6 \\ x = 2$

3 0

2 years ago

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LekaFEV [45]

Answer:

Step-by-step explanation:

6 0

2 years ago