All categories

3 years ago

Which equation represents the function graphed on the coordinate plane?

Mathematics

2 answers:

natita [175]3 years ago

5 0

Answer:

Step-by-step explanation:

The second option shows the function represented in the given graph.

Basically, the graph shows an absolute value function, because it has the form of a "V".

We know that the parent function of this is $f(x)=|x|$ , which is the simplest form of a value absolute function. So, we can get the right answer by just applying all given transformations to the parent function.

In the graph we see that the function was move 10 units downside, and 4 units to the left. This means that the function has to have "-10" and "+4", where the negative indicates the downside movement, and the positive sign indicates the left-side movement.

It's important to remember that, in case of horizontal displacement, with add to move to the left, and we subtract to move to the right.

Applying these translation to the parent function, we have

$g(x)=|x+4|-10$

Therefore, the right answer is option B.

Ulleksa [173]3 years ago

4 0

Answer:

The two lines connect at (-4,-10)This means you would add 4 to x and then subtract 10 from the equation.

This means the answer is: B.g(x) = |x + 4| – 10.

You might be interested in

I need the answer :(

madreJ [45]

Answer:

z = 62

y = 117

Step-by-step explanation:

118 and z are supplementary.

z + 118 = 180 Supplementary angles add to 180. Subtract 118 from both sides.

z = 180 - 118 Do the subtraction

z = 62 Answer

The interior angles of all quadrilaterals (convex) add up to 360 degrees.

y + z + 84 + 97 = 360 Given

62 + y + 84 + 97=360 Add

y + 243 = 360 Subtract 243 from both sides

y = 360 - 243 combine

y = 117 Answer

5 0

3 years ago

Find an angle between 0 and 360 degrees that is coterminal with 1260 degrees

cluponka [151]

1260-360-360-360=180
Therefore,180

4 0

2 years ago

Read 2 more answers

1000000+200000=?<br><br> fun for me

Arturiano [62]

Answer:

1,200,000

Step-by-step explanation:

hope i helped

6 0

3 years ago

A tank initially contains 40 ounces of salt mixed in 100 gallons of water. a solution containing 4 oz of salt per gallon is then

stellarik [79]

Let $A(t)$ be the amount of salt in the tank at time $t$ . We're given that $A(0)=40$ . The rate at which this amount changes is given by

$A'(t)=\dfrac{5\text{ gal}}{1\text{ min}}\cdot\dfrac{4\text{ oz}}{1\text{ gal}}-\dfrac{5\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ oz}}{100+(5-5)t\text{ gal}}$

$A'(t)+\dfrac{A(t)}{20}=20$

$e^{t/20}A'(t)+e^{t/20}\dfrac{A(t)}{20}=20e^{t/20}$

$\bigg(e^{t/20}A(t)\bigg)'=20e^{t/20}$

$e^{t/20}A(t)=400e^{t/20}+C$

$A(t)=400+Ce^{-t/20}$

Since $A(0)=40$ , we get

$40=400+C\implies C=-360$

so that the amount of salt at time $t$ is

$A(t)=400-360e^{-t/20}$

After 20 minutes, the tank contains

$A(20)=400-360e^{-20/20}\approx267.56\text{ oz}$

6 0

3 years ago

The bulls-eye on a target has a diameter of 3 inches. The whole target has a diameter of 15 inches. What part of the whole targe

Helga [31]

Since a target is a circle and the bulls-eye is also a circle, the percent of the circle that is bulls-eye would be (Area of the bulls eye)/(Area of the target)

[tex] A = \pi r^{2} \\
d = 2r \\ r = \frac{d}{2} \\\\
\frac{ \pi ( \frac{d}{2})^{2}}{ \pi ( \frac{d}{2})^{2} }= \frac{ \pi ( \frac{3}{2})^{2}}{ \pi ( \frac{15}{2})^{2} }\\
\frac{ \pi ( \frac{3}{2})^{2} }{ \pi ( \frac{15}{2})^{2} } = \frac{ \pi (1.5)^{2} }{ \pi (7.5)^{2} } \\
\frac{ \pi (1.5)}{ \pi (7.5) } = \frac{ \pi (2.25)}{ \pi (56.25)}\\
\frac{ \pi (2.25)}{ \pi (56.25)}=\frac{2.25}{56.25}= 0.04 [tex]

So the bulls-eye takes up 4% of the target.

4 0

3 years ago