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4 years ago

What is this problem in standard form? y-5=3/2(x+6)

Mathematics

1 answer:

givi [52]4 years ago

4 0

Answer:

$\displaystyle \boxed{3x - 2y = -28}$

Step-by-step explanation:

y - 5 = 3⁄2(x + 6)

y - 5 = 3⁄2x + 9

+ 5 + 5

__________

y = 3⁄2x + 14

- 3⁄2x - 3⁄2x

________

−3⁄2x + y = 14 [We do not want mixed numbers\fractions in our standard equation, so multiply by the denominator to get rid of it.]

−2[−3⁄2x + y = 14]

$\displaystyle 3x - 2y = -28$

I am joyous to assist you anytime.

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10. If 36, its half, its quarter and 1 are added then what number will be obtained ?

VARVARA [1.3K]

Step-by-step explanation:

1/2 of 36 is 18.

1/4 of 36 is 9.

The number is 36 + 18 + 9 + 1 = 64.

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3 years ago

What is the approximate volume of the cylinder? Use 3.14 for π. Cylinder with height of 22 centimeters and radius of 9 centimete

mamaluj [8]

The volume of a cylinder is found through the following formula:

$V = \pi r^2 h$

We already have all of our values needed for this formula, so plug them into the equation:

$\pi = 3.14$

$r = 9$

$h = 22$

$V = (3.14)(9)^2(22)$

$9^2 = 9 \times 9 = 81$

$3.14 \times 81 \times 22 = \boxed{5595.48}$

Rounded to the nearest ones value, the approximate volume of the cylinder will be 5595 cubic centimeters.

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4 years ago

Read 2 more answers

Which of these statements is true for f(x)=(1/10)^x

lana66690 [7]

Step-by-step explanation:

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Analyzing option A)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Putting $x = 1$ in the function

$f\left(1\right)=\:\left(\frac{1}{10}\right)^1$

$f\left(1\right)=\:\left\frac{1}{10}\right$

So, it is TRUE that when $x = 1$ then the out put will be $f\left(1\right)=\:\left\frac{1}{10}\right$

Therefore, the statement that '' The graph contains $\left(1,\:\frac{1}{10}\right)$ '' is TRUE.

Analyzing option B)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The range of the function is the set of values of the dependent variable for which a function is defined.

$\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k$

$k=0$

$f\left(x\right)>0$

Thus,

$\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}$

Therefore, the statement that ''The range of $f(x)$ is $y > \frac{1}{10}$ " is FALSE

Analyzing option C)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The domain of the function is the set of input values which the function is real and defined.

As the function has no undefined points nor domain constraints.

So, the domain is $-\infty \:$

Thus,

$\mathrm{Domain\:of\:}\:\left(\frac{1}{10}\right)^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Therefore, the statement that ''The domain of $f(x)$ is $x>0$ '' is FALSE.

Analyzing option D)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

As the base of the exponential function is less then 1.

i.e. 0 < b < 1

Thus, the function is decreasing

Also check the graph of the function below, which shows that the function is decreasing.

Therefore, the statement '' It is always increasing '' is FALSE.

Keywords: function, exponential function, increasing function, decreasing function, domain, range

Learn more about exponential function from brainly.com/question/13657083

#learnwithBrainly

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4 years ago

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Use the table. Make a scatter plot relating the distance of various cities from the metro area to the population of the cities.

Dafna11 [192]

Answer:

Option (A)

Step-by-step explanation:

From the table attached,

Independent variable 'x' is will be represented by the distance from Metro area.

Similarly, dependent variable 'y' will be on y-axis.

Scatter plot relating the distances of various cities from the metro area (x) to the population of the cities (y) will be represented by the ordered pair as (x, y).

Set of ordered pairs to be plotted,

[(1, 300), (5, 275), (10, 208), (15, 135), (20, 108)]

Therefore, graph given in Option (A) will be the answer.

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3 years ago

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Arturiano [62]

Step-by-step explanation:

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