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3 years ago

Which rational number is one tick mark to the right of Negative StartFraction 6 Over 4 EndFraction on the number line below?

Mathematics

2 answers:

PtichkaEL [24]3 years ago

6 0

Answer:

B>-1 1/4

Step-by-step explanation:

valina [46]3 years ago

4 0

We want to determine the rational number which is one tick mark to the left of =

$- 3 / 4$

If the number is to the left, it must be less than =

$- 3/4$

Since there are 4 equal spaces between each number, the numbers between -1 and 0 are =

$-1, 3/4, 2/4, 1/4, 0.$

We can then see that the number one tick to the left of =

$- 3/4$ is -1.

B.

$Goesy$

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Y is directly proportional to x, and y=56 when x=7. find the value of y when x=4.

podryga [215]

Y=kx
when y=56, x=7
56=7k
k=8
when x=4
y=8(4)
y=32
value of y=32

6 0

3 years ago

Write the fraction as a whole or mixed number.

Wewaii [24]

Answer:

$1\frac{1}{2}$

Step-by-step explanation:

If there is 1500 cellular phones per 1000 people, then the number of phones per person is:

$\frac{1500}{1000} = \frac{15}{10} = \frac{3}{2}$

Now we know that $\frac{3}{2} = 1 + \frac{1}{2} = 1\frac{1}{2}$

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3 years ago

Which function has the following characteristics?

iren [92.7K]

Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at $y = -\frac{1}{2}$ is given by:

$f(x) = -\frac{x}{2(x - 3)}$

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

The vertical asymptote at x = 3 means that x = 3 is a root of the denominator, hence:

$f(x) = \frac{g(x)}{x - 3}$

The horizontal asymptote at y = -1/2 means that:

$\lim_{x \rightarrow \infty} f(x) = -\frac{1}{2}$

Which happens if $g(x) = -\frac{x}{2}$ , hence the function is:

$f(x) = -\frac{x}{2(x - 3)}$

More can be learned about asymptotes at brainly.com/question/16948935

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4 0

2 years ago

Kyle soles 18 of 24 puzzles in a puzzle book. he says that he can use an equivalent fraction to find the percent of puzzles in t

tino4ka555 [31]

Answer:

He solved 75% of the puzzles!

Step-by-step explanation:

Okay, let's look at our fraction 18 out of 24. We can see that they are both even numbers, so at worst, we can divide the entire fraction by two. However, they have a GCF of six, so we will use that.

18 3

---- divided by 6 = ----

24 4

Now that we have the fraction 3/4, we can turn that into a percentage!

3/4 is 0.75. To get the percentage, we multiply that by 100--now we have 75%.

5 0

3 years ago

Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.

trasher [3.6K]

Answer:

$\frac{xe^{7x}}{7} + \frac{e^{7x}}{49}$

Step-by-step explanation:

Given the integral equation

$\int\limits{xe^{7x}} \, dx \\$

According to integration by part;

$\int\limits {u} \, dv = uv + \int\limits {v} \, du$

u = x, dv = e^7x

du/dx = 1

du = dx

$v = \int\limits {e^{7x}} \, dx \\v = e^7x/7$

Substitute the given values into the formula;

$\int\limits {xe^{7x}} \, dx = x(e^{7x}/7) + \int\limits ({e^{7x}/7}) \, dx\\\int\limits {xe^{7x}} \, dx = \frac{xe^{7x}}{7} + \frac{e^{7x}}{7*7} \\\int\limits {xe^{7x}} \, dx = \frac{xe^{7x}}{7} + \frac{e^{7x}}{49}$

3 0

3 years ago