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2 years ago

What inequality is graphed on the number line below?

Mathematics

2 answers:

vesna_86 [32]2 years ago

5 0

ANSWER: The inequality graphed on the number line is: C. b < 3

vazorg [7]2 years ago

4 0

Answer:

C) b ≤ 3

Step-by-step explanation:

The endpoint of the graph is the midpoint between 2 and 4, so it is 3.

This point is included since indicated as full circle.

The graph includes the line to the left of 3:

b ≤ 3 is the correct one

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Which choice is equivalent to the expression shown? 1 2(x + 4) 6 + 3 A) * + (B + 3 2x 5 C + 9 * D دیا | با

Viktor [21]

$\begin{gathered} \frac{2(x+4)}{6}+\frac{1}{3} \\ \frac{2x+8}{6}+\frac{1}{3} \\ \frac{2x}{6}+\frac{8}{6}+\frac{1}{3} \\ \frac{x}{3}+\frac{4}{3}+\frac{1}{3} \\ \frac{x}{3}+\frac{5}{3} \end{gathered}$

The answer is B.

5 0

1 year ago

Use logarithmic differentiation to find dy/dx. y = (1 + x)^1/x, x > 0

vovangra [49]

Use exp/log functions to rewrite y as

$y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)$

One of the properties of logarithms lets us bring down the exponent, so

$y = \exp\left(\dfrac{\ln(1+x)}x\right)$

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

$\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}$

Simplify:

$\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}$

6 0

2 years ago

Need help for both questions! Please explain your work for both

bixtya [17]

Answer:

2:2255 3:43

Step-by-step explanation:

Use the measurements to determine the other numbers

3 0

2 years ago

Read 2 more answers

When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n+ 1/5+n = 24. What is the

kap26 [50]

Answer:

n = 20

Step-by-step explanation:

If we call "a number" n, the equation modelling that statment is:

$\frac{1}{5}n+n=24$

Now, if we have one whole thing - 5/5 - and add 1/5 of that thing, we'll have a total of 6/5 of it. By that same logic, 1/5 of n + 5/5 of n = 6/5 of n. We can write that fact as

$\frac{6}{5}n=24$

So, we slice this number n up into 5 equal parts, we take 6 of those slices, and that gets us a total value of 24. What would the value of just 1 slice - a single fifth of n - be? Well, we'd just need to divide 24 by 6 to find that

$\frac{1}{5}n=24\div6=4$

And if 1/5 of something is 4, that whole thing, 5/5, must be 5 × 4, or 20! Writing that step out in symbols, we have

$\frac{1}{5} n\times5=4\times5=20=n$

So n = 20.

3 0

3 years ago

Tara had 1 5/8 pounds of dried nuts. She ate 1/4 pound of dried nuts each day for 6 days? How many pounds of dried nuts did Tara

Shalnov [3]

Answer:

1/8

Step-by-step explanation:

its easy just count backwards by 2/8 each time

8 0

3 years ago