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Vesnalui [34]
4 years ago
12

Will you please solve this and include the steps on how you solved?

Mathematics
1 answer:
Xelga [282]4 years ago
8 0
Let's write x as our age and our cost as y -

 If x≤5 , y=0
If 5<x≤12, y=10 
If 12<x≤18, y=25
If x>18, y=35

It should be pretty straightforward to graph from there, but please ask if you're having any issues!
You might be interested in
Evaluate f(x) = x^2 for f(-8).
taurus [48]

Answer:

f(-8) = 64

Step-by-step explanation:

The question is simply asking us to evaluate for f(x) when x = -8:

f(-8) = (-8)²

f(-8) = 64

5 0
3 years ago
Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?
mixer [17]

Given:

|u|=10 at an angle of 45°.

|v|=13 at an angle of 150°.

w=u+v

To find:

Magnitude and direction angle of w.

Solution:

We have,

w=u+v

\theta = 45^\circ, \phi = 150^\circ

Now,

u_x=|u|\cos \theta=10\cos 45^\circ=7.071

u_y=|u|\sin \theta=u_y=10\sin 45^\circ=7.071

v_x=|v|\cos \phi=13\cos 150^\circ=-11.25833

v_y=|v|\sin \phi=u_y=13\sin 150^\circ=6.5

Using these information, we get

R_x=u_x+v_x=7.071-11.25833=-4.18733

R_y=u_y+v_y=7.071+6.5=13.571

\text{Direction angle}=\tan^{-1}(\dfrac{R_y}{R_x})

\text{Direction angle}=\tan^{-1}(\dfrac{13.571}{-4.18733})

\text{Direction angle}=-72.8239

\text{Direction angle}=107.1476

\text{Direction angle}\approx 107.1

Now,

|w|=\sqrt{(|u|\cos \theta +|v|\cos \phi)^2+(|u|\sin \theta +|v|\sin \phi)^2}

|w|=\sqrt{(10\cos(45)+13\cos 150)^2+(10\sin(45)+13\sin 150)^2}

|w|=\sqrt{(10(\dfrac{1}{\sqrt{2}})+13(-\dfrac{\sqrt{3}}{2}))^2+(10(\dfrac{1}{\sqrt{2}})+13(\dfrac{1}{2}))^2}

|w|=14.20236

|w|\approx 14.20236

Therefore, the correct option is D.

4 0
3 years ago
Read 2 more answers
Can anyone help me? Will give Brainly!!
raketka [301]

Answer:

y= -x + 4

5 = -x + 4

x = -1

Hope this helps

4 0
3 years ago
Plz help me with this
PIT_PIT [208]

Answer:   b)  (x - 2)(x + 1)(x + 3)

<u>Step-by-step explanation:</u>

Look at the graph to find the x-intercepts (where the graph crosses the x-axis).

x = 2      x = -1    and      x = -3

Now rearrange each of those equation so they are equal to zero:

x - 2 = 0    x + 1 = 0  and   x + 3 = 0

Next, combine them (using multiplication):

(x - 2) (x + 1) (x + 3) = 0

Lastly, evaluate the sign of the a-value (coefficient of the polynomial):

Since the right side of the graph goes to POSITIVE infinity, then the a-value is positive.

5 0
4 years ago
Can anyone good in math help me please I’m in a Hurry :(
Butoxors [25]

First lets consider the regular numbers here. 15 + 24. That gives us 39. Next we consider the variables. There's 0 a's in the first part, and 1 in the second part. So you simply get 1a added on top of the 39. Next, the x variable. There's one on each part, so just add them together to get x^2 (Note that you must do it this way rather than getting 2x since you're only adding x's, so when adding/subtracting variables on its own, its expressed as an exponent). With all this in mind, you'd get answer A

5 0
3 years ago
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