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3 years ago

The graph of g(x) is obtained by reflecting the graph of f(x)=2|x| over the x-axis.

Mathematics

2 answers:

kondaur [170]3 years ago

8 0

Answer: $g(x)=-2|x|$

Step-by-step explanation:

When a function $y=f(x)$ is reflected over x-axis then it actually flip itself around x-axis and gives a mirror image of the original function.

The new function will be $y=-f(x)$

Given : The graph of g(x) is obtained by reflecting the graph of $f(x)=2|x|$ over the x-axis.

Then , g(x) should be

$g(x)=-f(x)=-(2|x|)=-2|x|$

Therefore, the equation describes g(x) would be

$g(x)=-2|x|$

aksik [14]3 years ago

5 0

To reflect across the x axis, you would make the original equation negative.

The answer would be: g(x)=−2|x|

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12% of what number is 36

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300, 36 divided by 0.12 (12%) is 300

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A what is an equation stating that two ratios or rates are equal

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The equation is
(A ≠ B)
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[ Ratio A is NOT equal to Ratio B. ]

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3 years ago

Drag numbers to the table so it shows a proportional relationship between x and y.

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Answer:

0.5 = 3

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2 years ago

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How would I write these problems?

konstantin123 [22]

21) Total number of cups: 26

6) Solution of the equation: x = -12

7) Father's age: 40

4) Distance driven: 400 miles

Step-by-step explanation:

21)

Let's call:

$h=10 cm$ the height of each cup

$H=30 cm$ the total height available in the dispenser

We are told that each cup added to the stack add a height of

$\Delta h = 0.8 cm$

We can therefore solve the problem by writing the following equation:

$H=h+N\Delta h$

which means that the total height available (H) is filled by the height of one cup (h) + the number of additional cup multiplied by 0.8.

Solving for N:

$N=\frac{H-h}{\Delta h}=\frac{30-10}{0.8}=25$

And including the first cup, the total number of cups is

$N+1=25+1=26$

The equation that we have to solve is

$\frac{5}{2}x-1=-31$

We proceed as follows:

First of all, we add +1 on both sides of the equation,

$\frac{5}{2}x-1+1=-31+1\\\frac{5}{2}x=-30$

Now we multiply by 2 on both sides:

$\frac{5}{2}x\cdot 2=-30\cdot 2\\5x=-60$

And now we divide both sides by 5:

$\frac{5x}{5}=\frac{-60}{5}\\x=-12$

Let's call:

k = Karma's age

f = father's age

We are told that Karma is 13 years old, so

k = 13

Also, Karma's age is 2 years less than 3/8 of the father's age, so we can write

$k=\frac{3}{8}f-2$

By combining the two equations,

$13=\frac{3}{8}f-2$

And solving for f, we find:

$\frac{3}{8}f=13+2\\\frac{3}{8}f=15\\3f=15\cdot 8 =120\\f=\frac{120}{3}=40$

So, the father's age is 40.

Let's call:

T = 16 the total volume of the tank (16 gallons)

We also know that the car burns 0.03 gallons per mile, so the amount of fuel consumed after x miles is

$0.03 x$

This means that the amount of fuel left after x miles is

$16-0.03x$

We also know that the amount of fuel left is 4 gallons, therefore:

$16-0.03x=4\\0.03x=16-4\\0.03x=12\\x=\frac{12}{0.03}=400$

So, 400 miles.

Learn more about equations:

brainly.com/question/13168205

brainly.com/question/3739260

#LearnwithBrainly

6 0

3 years ago

Question 15 (5 points)<br> Find the angle between u = <7, -2> and v= (-1,2>.

Tema [17]

Answer:

Approximately $2.3127$ radians, which is approximately $132.51^{\circ}$ .

Step-by-step explanation:

Dot product between the two vectors:

$\begin{aligned}& u\cdot v \\ =\; & 7 \times (-1) + (-2) \times 2 \\ =\; & (-11) \end{aligned}$ .

Magnitude of the two vectors:

$\begin{aligned} \| u \| &= \sqrt{{7}^{2} + {(-2)}^{2}} \\ &= \sqrt{53} \end{aligned}$ .

$\begin{aligned} \| v \| &= \sqrt{{(-1)}^{2} + {2}^{2}} \\ &= \sqrt{5} \end{aligned}$ .

Let $\theta$ denote the angle between these two vectors. By the property of dot products:

$\begin{aligned} \cos(\theta) &= \frac{u \cdot v}{\|u\| \, \| v \|} \\ &= \frac{(-11)}{(\sqrt{53})\, (\sqrt{5})} \\ &= \frac{(-11)}{\sqrt{265}}\end{aligned}$ .

Apply the inverse cosine function ${\rm arccos}$ to find the value of this angle:

$\begin{aligned} \theta &= \arccos\left(\frac{u \cdot v}{\| u \| \, \| v \|}\right) \\ &= \arccos\left(\frac{(-11)}{\sqrt{265}}\right) \\ & \approx \text{$2.3127$ radians} \\ &= 2.3127 \times \frac{180^{\circ}}{\pi} \\ &\approx 132.51^{\circ}\end{aligned}$ .

8 0

3 years ago