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3 years ago

if you are 15 years old now, which equation could be used to solve for your age, y, 12 years from now ?

Mathematics

1 answer:

Vaselesa [24]3 years ago

3 0

Answer:

Hi there!

If you are 15 right now, you would use the expression: 15+12=y

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Which linear inequality is represented by the graph? (A)y ≤1/3 x − 1 (B)y ≥ x − 1 (C)y < 3x − 1 (D)y > 3x − 1

lubasha [3.4K]

The equation of the line is $\boxed{y \geqslant \frac{1}{3}x - 1}.$

Further explanation:

The linear equation with slope $m$ and intercept $c$ is given as follows.

$\boxed{y = mx + c}$

The formula for slope of line with points $\left( {{x_1},{y_1}} \right)$ and $\left( {{x_2},{y_2}} \right)$ can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Given:

Explanation:

The line intersects y-axis at $\left( {0, - 1} \right)$ . Therefore, the y-intercept is $-1.$

The line passes through the points $\left( {0, - 1} \right)$ and $\left( {3,0} \right).$

The slope can be obtained as follows,

$\begin{aligned}m&= \frac{{0- \left( {- 1} \right)}}{{3 - 0}}\\&= \frac{1}{3}\\\end{aligned}$

Substitute $\dfrac{1}{3}$ for m, $3$ for $x$ and $0$ for $y$ in equation $y = mx + c$ to obtain the value of $c$ .

$\begin{aligned}0& \frac{1}{3} \cdot 3 + c\\- 1&=c\\\end{aligned}$

To check whether the equation includes origin substitute 0 for x and 0 for y in equation $y \geqslant \dfrac{1}{3}x - 1.$

$\begin{aligned}0&\geqslant \frac{1}{3} \times 0 - 1 \\0&\geqslant - 1\\\end{gathered}$

The statement is true. The equation contains origin.

The equation of the line is $\boxed{y \geqslant \frac{1}{3}x - 1}.$

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers,slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

7 0

3 years ago

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Hi! can you please help with this

erastova [34]

Answer:

It will be $40.00

Step-by-step explanation:

hope this helps

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3 years ago

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The formula for the volume of a sphere is v= 4/3 3.14rWhat is the formula solved for r?

prohojiy [21]

Answer:

$r = \frac{3}{4\pi}V$

Step-by-step explanation:

First, the formula for the volume of a sphere is:

$V = \frac{4}{3}\pi r^3$

$\frac{3}{4}V = \pi r^3$

$\frac{3}{4}V\frac{1}{\pi} = r^3$

$r^3 = \frac{3}{4\pi}V$

$r = \sqrt[\leftroot{-2}\uproot{2}3]{\frac{3}{4\pi}V}$

<u><em>If there is any steps you are unsure of, feel free to ask in the comments.</em></u>

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3 years ago

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Aliun [14]

Answer:

3) 30 ft

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inysia [295]

Since there are only two sides (heads & tails) to a coin:
Probability (as fraction) - 1/2
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3 years ago

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