5. Miguel has an after-school job. He works
between 15 and 25 hours each week and is paid
$12 per hour. What is an appropriate domain for
this scenario?
A. All real numbers such that 15 B. All real numbers such that 180 < x < 300
C. All real numbers
D. All real numbers such that x>0

Answer:

[tex]y= (x -4)^2 - 1[/tex]

[tex]Vertex = (4,-1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 6x+13[/tex]

Required

7 units left and 5 units down

First, we have: [7 units left]

The rule is:

[tex](x,y) \to (x-7,y)[/tex]

So, we have:

[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]

Next, we have: [5 units down]

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]

[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]

Rewrite as:

[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]

Expand

[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]

Collect like terms

[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]

[tex]y = x^2 -8x +15[/tex]

To write in vertex form, we have

Subtract 15 from both sides

[tex]y -15= x^2 -8x[/tex]

Divide (-8) by 2; Add the square to both sides

[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]

[tex]y -15+ 16= x^2 -8x + 16[/tex]

[tex]y +1= x^2 -8x + 16[/tex]

Expand

[tex]y +1= x^2 -4x - 4x + 16[/tex]

Factorize

[tex]y +1= x(x -4) -4(x - 4)[/tex]

Factor out x - 4

[tex]y +1= (x -4)(x - 4)[/tex]

Rewrite as:

[tex]y +1= (x -4)^2[/tex]

Make y the subject

[tex]y= (x -4)^2 - 1[/tex]

The vertex is:

[tex]Vertex = (4,-1)[/tex]

Answer:

uncountable

Step-by-step explanation:

----------------uncountable-----------------

Answer:

asasasdcvxcvszs

Step-by-step explanation:dsadsdasz

Answer:

false..................

Answer:

I think Its D I'm not sure though because when it comes to maths I'm not smart

Answer:

the correct answer is A x<-2

Step-by-step explanation:

2x<1/2x-3

4x<x-6

4x-x<-6

3x<-6

x<-2

Answer:

No comprendo espanol. Yo se un muy poco.

Step-by-step explanation:

Answer:

269.46

Step-by-step explanation:

sin(theta) = opposite / adjacent

adjacent = opposite / sin(theta)

adjacent = 1425*sin(10.9)

adjacent = 269.4610063

Step-by-step explanation:

Divide 180 by 3 = 60

Divide 150 by 2 = 75

The faster vehicle is truck and its speed is 75 mph

Answer:

y = -3x - 2

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= -4-2/6-4

m= -6/2

m=-3

then use point slope formula (y-y1) =m(x-x1)

(y-2) = -3(x-4)

simplify

y-2 = -3x - 4

turn into slope intercept form

y = -3x - 2

Answer: it would be  P=4n

Answer:46%

Step-by-step explanation:

Answer:

23/50 or 46%

Step-by-step explanation:

I just added red and purple out of the total(red+purple/total=11+12/50=23/50)

then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)

Answer:

1. <

2. <

Step-by-step explanation:

Have a good day :)

Answer:

Hello! answer: 25

Step-by-step explanation:

x = 56 because... 56 - 31 = 25 56 + 43 = 99 and x = 56 so 56 + 25 + 99 = 180 Hope that helps!

Answer:

160 minutes

Step-by-step explanation:

Find out how many minutes are in a hour. 60 min in one hour. 60 x 2 = 120

120 + 40 = 160

Answer:

[tex]x=\frac{7}{15}[/tex]

Step-by-step explanation:

[tex]5x-\frac{1}{5} =\frac{7}{3}[/tex]

[tex]5x - \frac{3}{15} = \frac{35}{15}[/tex]

[tex]5x - \frac{3}{15} + \frac{3}{15} = \frac{35}{15} + \frac{3}{15}[/tex]

[tex]5x=\frac{35}{15}[/tex]

[tex]\frac{5x}{5} } =\frac{\frac{35}{15}}{5}[/tex]

[tex]x=\frac{7}{15}[/tex]

Answer:

132

Step-by-step explanation:

4*7  +  (7+19)/2  * 8  = 28 + 104 = 132

c = 22.3 km

Step-by-step explanation:

You can solve this problem using cosine law:

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) [/tex]

where a and b are the legs of the triangle, c is the unknown length and the angle gamma is the angle opposite length c. We know that

a = 50 km

b= 52.4 km

gamma = 25°

c^2 = (50 km)^2 + (52.4 km)^2 -2(50)(52.4)cos25°

= 496.707 km^2

or

c = 22.3 km

Answer:

B

Step-by-step explanation:

Answer:

The answer is b 2/5 times 1/4

Step-by-step explanation:

Answer:

-decreases the chance of contracting any type of virus  

-decreases the chance of other people contracting the virus

Step-by-step explanation:

Answer: It keeps people safe, and it keeps you safe as well.

Step-by-step explanation: You're keeping other people safe by wearing a mask,since youre limiting or even entirely preventing particles and germs from reaching other people,and protecting yourself because a mask prevents germs entering your nose and mouth.

Answer:

A: 46 meters at 3 seconds

B: 0 meters at 6.033 seconds

C. It depends where the tree is

D. 6.033 seconds

Step-by-step explanation:

A. To find max height, we need to find the vertex.

We can do this by using vertex from y=a(x-h)+k for y=a^2+b^2+c^2

h(t) = -5t^2+30t+1

h(t)+45 = - 5x^2+30x+45+1

h(t)+45= -5(x^2-6x-9)+1

h(t)+45 = -5(x-3)^2+1

h(t) = -5(x-3)^2+46

Hence, the max height is 46 at 3 seconds

B. The minimum height is 0 meters because of the problem

C. It depends because the parabola intersects x=10 in 2 places meaning that you need the tree to be in either of these two places to intercept the horseshoe

D. -5x^2+30x+1=0

     5x^2-30x-1=0

     x=  (30+-sqrt(30^2-4*5*-1))/2*5

     x=(30+-sqrt920)/10

     x=3+-2sqrt230/10

     x=3+-sqrt230/5

      This means that x =  -0.033  or 6.033. Negative value doesn't make sense so it's 6.033 seconds  

Answer:

D. An angle measuring 470*

Step-by-step explanation:In this question

The coterminal angle for 110° is 470°.

"Coterminal angles are two (or more) angles that have their initial and terminal sides in the same positions. However, the angle measures differ either because one angle is measured clockwise and the other is measured counterclockwise".

For the given situation,

The angle is 110°.

The coterminal angles can be determined by adding or subtracting 360° to the given angle.

For 110° = [tex]360+110[/tex]

⇒ [tex]470[/tex]°

Hence we can conclude that the coterminal angle for 110° is 470°.

Learn more about coterminal here

https://brainly.com/question/2762868

#SPJ2

Answer:

Exact form:

[tex]x=\sqrt{17} +3,-\sqrt{17} +3[/tex]

Step-by-step explanation:

Take the root of both sides and solve.

Answer:

Step-by-step explanation:

here A(-3,-2)

-3 is x and -2 is y

so use this formula to find A'

p(x,y)=p'kx,ky)

here k is a scale factor which is 1/2

A(-3,-2)=A'(1/2*-3.1/2*-2)

A'(-3/2,-1)

Answer:

hope this helps

Step-by-step explanation:

Answer:

the shape would be a triangle

Step-by-step explanation:

any horizontal slice would create a triangle