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3 years ago

Graph f(x)=|x−2|+3 . Use the ray tool to graph the function.

Mathematics

1 answer:

maks197457 [2]3 years ago

4 0

Answer:

The graph will be 2 units away from the origin on positive $x-axis$ and three units upward from the origin towards $y-axis$ .

Step-by-step explanation:

Here is a graph attached with it.

To graph $\left | x-2 \right |+3$ we know that positive $\left | x \right |$ is a $V$ shaped from the origin.

Key points:

To move rightward there must be a negative inside the parentheses.
And to move upward we must have positive $b = constant$ .

If we have to move towards $x-axis$ then we must have negative inside it.

And if we have to move upward in $y-axis$ positive we must have positive constant value.

So the graph will be three units upward and two units rightward with a V-shaped ray.

You might be interested in

A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of

slavikrds [6]

Answer:

The height of the cone h = 27(x^4)y

Step-by-step explanation:

Firstly, we calculate the volume of the cylinder.

Mathematically, the volume of the cylinder is pi * r^2 * h

using the radius x and height y

The volume V of the cylinder is ;

V = pi * x^2 * y

Now we know they have the same volume V, the formula for the volume of a cone is ;

1/3 * pi * r^2 * h

Substituting the values of r to be 1/3x and the height which is not given here left as h, we have the volume of the cone to be;

V = 1/3 * pi * (1/3x)^2 * h = pi * x^2 * y

The pi gives way as it cancels out on both sides and we have the following;

h/27x^2 = x^2y

Mathematically h = x^2 * y * 27x^2

h = 27(x^4)y

p.s: I personally feel the radius of the cone was to be given as x/3 and not 1/3x . It is in that way we can have the height of the cone purely in y terms and no x

8 0

3 years ago

Please help me thank you

Marianna [84]

13+2=15

10+5=15

15*15 OR 15^2

5 0

3 years ago

Solve for x: 1 1/5 x -2 1/3 < 1/7 x+ 1 1/2

Firlakuza [10]

Solving inequalities is similar to solving a regular equation. The only thing you need to worry about with inequalities is that when you are dividing or multiplying by a negative number, you must flip the inequality sign. You won't have to worry about that here if the coefficient in front of x is positive when you divide!

Also remember:
- To add/subtract fractions, you have to turn all mixed numbers into improper fractions (if needed), <span>find a common denominator on both fractions (if needed), add/subtract the numerators, put the sum/difference over the common denominator, and simplify if needed.

- To multiply fractions, multiply the numerators and multiply the denominators. Put the product of the numerators over the product of the denominators.

- To divide fractions, remember that dividing by a fraction is the same as multiplying by the inverse of that fraction (aka fraction flipped).

- To turn mixed numbers into improper fractions, multiply the whole number by the denominator of the fraction. Add the numerator of the fraction to the product you get, and put that final sum over the original denominator.

Back to the problem:
</span>You are told that $1 \frac{1}{5} x - 2 \frac{1}{3} \ \textless \ \frac{1}{7} x + 1 \frac{1}{2}$ and you have to solve for x.
<span>
1) </span>Using the info for converting mixed numbers to improper fractions from above, you know that $1 \frac{1}{2} = \frac{3}{2}$ and $2 \frac{1}{3} = \frac{7}{3}$ and $1 \frac{1}{5} x = \frac{6}{5} x$ . Now add/subtract using the info above, isolating the variable x by adding $2 \frac{1}{3}$ to both sides and subtracting $\frac{1}{7} x$ from both sides.
$1 \frac{1}{5} x - 2 \frac{1}{3} \ \textless \ \frac{1}{7} x + 1 \frac{1}{2}\\
\frac{6}{5} x - \frac{7}{3} \ \textless \ \frac{1}{7} x + \frac{3}{2}\\
(\frac{6}{5} x - \frac{1}{7} x) \ \textless \ (\frac{3}{2} + \frac{7}{3})\\
(\frac{42}{35} x - \frac{5}{35} x) \ \textless \ (\frac{9}{6} + \frac{14}{6})\\
 \frac{37}{35} x \ \textless \ \frac{23}{6}$

2) Divide both sides by $\frac{37}{35}$ to get the inequality for x. Remember the info for dividing from above:
$\frac{37}{35} x \ \textless \ \frac{23}{6}\\
x \ \textless \ \frac{23}{6} \div \frac{37}{35} \\
x \ \textless \ \frac{23}{6} \times \frac{35}{37} \\
x \ \textless \ \frac{805}{222}$

Your final answer is x < $\frac{805}{222}$ or x < $3 \frac{139}{222}$ .

3 0

3 years ago

The recycling center processed 36,000 pounds of recyclable materials. How many tons of recyclable materials are processed?

olchik [2.2K]

Answer:

18 Tons

Step-by-step explanation:

36,000 / 2000 = 18

3 0

3 years ago

(-4, -2); y = - 2x + 4

padilas [110]

Answer:

y = -2x - 10

Step-by-step explanation:

Slope intercept form of equation is of form

y = mx+c

where m is the slope of line and c is the y intercept of the line.

Y intercept is point on y axis where the line intersects the y axis.

_____________________________

Given equation

y = -2x +4

comparing it with y = mx+ c

m = -2 , c = 4

_____________________________

when two lines are parallel, their slopes are equal.

Let the equation of new line in slope intercept form be y = mx + c

Thus slope of of new required line is -2

Thus m for new line is -2.

now, equation of required line : y = -2x+c

Given that this line passes through (-4, -2). This point shall should satisfy equation y = -2x+c.

Substituting the value of (-4, -2) we have

-2 = -2(-4)+c

=> -2 = 8 +c

=> -2 -8 = c

=> c = -10.

Thus , equation of required line is y = -2x - 10.

8 0

3 years ago