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3 years ago

The variables x and y vary directly. Use the given values to write an equation that relates

Mathematics

1 answer:

faust18 [17]3 years ago

6 0

Answer:

the 3rd

Step-by-step explanation:

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? : 14 = 5 : 2 please solve this question- thank you!

babymother [125]

x/14 = 5/2

using cross product

2x =14*5

divide by 2

x = 14*5/2

x =35

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3 years ago

Is –2 − –39 positive or negative?

pochemuha

Answer:

Positive 37

Step-by-step explanation:

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3 years ago

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For what interval is the function f(x) = (20 + \sqrt{x}) / (\sqrt{20 + x}) continuous?

konstantin123 [22]

Try this solution:
1. according to the condition
$\left \{ {{x \geq 0} \atop {20+x\ \textgreater \ 0}} \right. \ =\ \textgreater \ \ x \geq 0.$
2. for more details see the attached graph.

Answer: [0;+oo)

5 0

3 years ago

Find all the values of x in the set of complex numbers that satisfy the following equation:

Fynjy0 [20]

Compute all the component integrals first:

$I_1=\displaystyle\int_0^{\pi/4}2\sec x\,\mathrm dx=2\ln(\sqrt2+1)$
$I_2=\displaystyle\int_0^2\ln x\,\mathrm dx=2(\ln2-1)$
$I_3=\displaystyle\lim_{a\to\infty}\int_{-a}^a\frac{\mathrm dx}{x^2+1}=\pi$

Now,

$\sqrt2\approx1.4\implies \sqrt2+1\approx2.4$
$\implies \left\lceil I_1\right\rceil=2$

$e$
$\implies\left\lfloor I_2\right\rfloor=-1$

$\pi\approx3.14\implies\left\lceil I_3\right\rceil=4$

So the given equation reduces to

$\displaystyle\sum_{k=-1}^2\frac{\mathrm d}{\mathrm dx}x^{k+2}=1-4!$
$\dfrac{\mathrm dx}{\mathrm dx}+\dfrac{\mathrm dx^2}{\mathrm dx}+\dfrac{\mathrm dx^3}{\mathrm dx}+\dfrac{\mathrm dx^4}{\mathrm dx}=-23$
$4x^3+3x^2+2x+24=0$

a fairly standard cubic. Incidentally, when $x=-2$ , the LHS reduces to 0, so $x+2$ is a factor of the cubic. You can find the remaining two solutions easily with the quadratic formula.

5 0

3 years ago

F(x) = 3x2 – x + 5; g(x) = 2x – 3. find f(x)-g(x)

Sonbull [250]

Answer:

f(x) - g(x) = 3x² - 3x + 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x² - x + 5

g(x) = 2x - 3

Step 2: Find f(x) - g(x)

Substitute in function values: f(x) - g(x) = 3x² - x + 5 - (2x - 3)
[Distributive Property] Distribute negative: f(x) - g(x) = 3x² - x + 5 - 2x + 3
[Subtraction] Combine like terms (x): f(x) - g(x) = 3x² - 3x + 5 + 3
[Addition] Combine like terms: f(x) - g(x) = 3x² - 3x + 8

8 0

2 years ago