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3 years ago

What is the distance between point A and point B to the nearest tenth?

Mathematics

1 answer:

Lyrx [107]3 years ago

5 0

What is the number line i'm sorry but i can help without a number line that this question is based off of.

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List two pairs of fractions with a product of 6/40

puteri [66]

Answer:

The product of two fractions can be calculated as follows:

$\frac{a}{b}\cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}$

So, the numerator is the product of the numerators of the two fractions, and the denominator is the product of the denominators of the two fractions.

In this problem, we know that the product is 6/40, so:

$ac = 6\\bd = 40$

This means:

$c=\frac{6}{a}\\d=\frac{40}{b}$

So we just need to find 2 pairs of numbers a, b to make c and d integers.

The first choice we use is:

a = 3

b = 2

So we get:

$c=\frac{6}{3}=2\\d=\frac{40}{2}=20$

So the first pair of fractions is

$\frac{3}{2},\frac{2}{20}$

The second choice we use is:

a = 2

b = 10

So we get:

$c=\frac{6}{2}=3\\d=\frac{40}{10}=4$

So the second pair of fractions is

$\frac{2}{10},\frac{3}{4}$

8 0

3 years ago

Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] $ y =

Advocard [28]

Answer:

The answer is " $\frac{5 e^{5\sqrt{x} }}{2\sqrt{x}}$ ".

Step-by-step explanation:

Given:

$y = e^{{\color{\red}5}\sqrt{x}}$

let

$\to t= 5\sqrt{x}\\\\\frac{dt}{dx}= 5 \frac{1}{2\sqrt{x}}\\\\\frac{dt}{dx}= \frac{5}{2\sqrt{x}}\\\\$

and

$\to y=e^t\\\\\to \frac{dy}{dt}=e^t\\$

$\to \frac{dy}{dt}=e^{5\sqrt{x} }\\$

So,

$\to \frac{dy}{dx}= \frac{dy}{dt} \times \frac{dt}{dx}$

$=e^{5\sqrt{x} }\times \frac{5}{2\sqrt{x}}\\\\= \frac{5 e^{5\sqrt{x} }}{2\sqrt{x}}$

$\to g(x) = 5\sqrt{x} \\\\\to f(x) = e^{(x)}\\\\$

Derivate:

$\to f''g' = \frac{e^{(5\sqrt{x})}5}{(2\sqrt{x})}$

5 0

3 years ago

The graph shows the cost of buying beets at a farm stand

antiseptic1488 [7]

Answer:

Ok what's your question? cna you include the graph?

8 0

3 years ago

What are the coordinates of the turning point of the parabola whose equation is y=-x^2+4x+1

Arlecino [84]

Answer:

The maximum of the parabola lands at (2,5).

3 0

3 years ago

The statement "a>2 and a <5" is true when a is equal to what?

iris [78.8K]

Answer:

Step-by-step explanation:

As 2 < a < 5, only option A suffices this condition, because 2 < 3 < 5.

6 0

3 years ago