f(x) = 232 – 2x + 10
2.x2
Find f(2)

Answer:

D because if you graphed the others they wouldn't pass the vertical line test

The angle measure for the inclined ramp needed to keep the larger weight from sliding down the ramp is 42⁰.

The given parameters;

The normal force on the larger weight (3 lb) is calculate as;

[tex]F_n = Mgcos(\theta)[/tex]

The net force on the larger weight is calculated as;

[tex]Mgsin(\theta) - T = 0[/tex]

where;

T = mg

[tex]Mgsin(\theta) - mg = 0\\\\(1.36\times 9.8)sin\theta \ - \ (0.91 \times 9.8) = 0\\\\13.328 sin(\theta) = 8.918\\\\sin(\theta) = \frac{8.918}{13.328} \\\\sin(\theta) = 0.669\\\\\theta = sin^{-1} (0.669)\\\\\theta = 42\ ^0[/tex]

Thus, the angle measure for the inclined ramp needed to keep the larger weight from sliding down the ramp is 42⁰.

Learn more here:https://brainly.com/question/18352782

Answer:

The vertex is (-3,0)

Step-by-step explanation:

Insert the values into the given equation on the assignment in order to get the coordinates of the vertex.

The values are:

a = 1

b = 6

c = 9

For the x coordinate, insert the a and b values into the equation (-b/2a):

-6/(2*1) =

-6/(2) =

-3

So now we know the x value is 3, to find the y value insert the a, b, and c values into the equation -(b^2-4ac)/4a

-(6^2 - (4*1*9))/(4*1) =

-(36-(36))/4 =

-0/4 =

0

So the y value is 0 and the vertex is (x,y), so the vertex is (-3,0)

Answer: 1.5 gallons

Step-by-step explanation:

(1/2) of a 2oz tube covers 0.25ft^2.  Make this into a conversion factor:

1 oz/0.25ft^2

4oz/ft^2

They have a 48 ft^2 mural.  Assuming no mistakes in painting, they will need:

(48 ft^2)*(1 oz/0.25ft^2) = 192 oz  [Note how the ft^2 units cancel]

There are 128oz/gallon.  Make this a conversion factor:

(gallon/128oz)

Convert 192 oz to gallons:  (192 oz)*(gallon/128oz) = 1.5 gallons

Answer: SYSTEMS OF EQUATIONS in TWO VARIABLES. A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The equations in the system can be linear or non-linear.

Step-by-step explanation:

Answer:

Gwen's and Tristan's. Keith already has the same equation as Gwen, so it won't help us find out the cost of the entry fee and the cost of each ticket.

Answer:

42%

Step-by-step explanation:

Hope it helps!

Answer:

they are 2 and 9

Step-by-step explanation:

Set up equation for two numbers a and b:

[tex]3a-b=-3[/tex] and [tex]a+b=11[/tex]

solve the system of equations:

add two equations together we get:

[tex]3a-b+a+b=-3+11[/tex]

[tex]4a=8[/tex]

[tex]a=2[/tex]

Since, a+b=11

thus  [tex]b = 9[/tex]

Step-by-step explanation:

f(x) = 3x + 2

g(x) = 4x

= f(x) + g(x)

= 3x + 2 + 4x

= (3 + 4)x + 2

= 7x + 2

(f+g)(x) = 7x + 2

Answer:

x=16

y=10

Step-by-step explanation:

8x-14=5x+34

3x=48

x=16

8(16)-14=114

114+5y+16=180

5y+16=66

5y=50

y=10

Answer:

x=16  y=10

Step-by-step explanation:

did this on my quiz. i got it right

Answer:

Step-by-step explanation:

4(1/4a+b-6)

*4

1a+4b-24

Answer:

simplified : a+4b-24

Step-by-step explanation:

Do destributative property

Answer:

20n + 8

Step-by-step explanation:

Distribute the 4 to each term in the parenthesis:

4(5n+2)

(4)(5n) + (4)(2)

20n + 8

Answer:

unit price = 4$ a pound

Step-by-step explanation:

3 pounds for a total of 12$, but you need to know the price of 1 individul unit, so within those 3 lbs is 3 "individul units" (aka 1 pound)

total cost = 12$ for all 3 units so divide 12 by 3 (12/3) = 4  --> Giving you the cost of 1 unit  which is $4.00

Check you work : 3 units (3lbs) , you know 1 unit(pound) costs 4$ and your total you paid needs to be equal to 12$

SO: 3 (your pounds) x 4 (price PER unit) = 12  

12 = 12  

Youre done!

Answer:

8. if he drove at a constant speed and made it 585 miles in 13 hours then first you 585/13 which gives you 45 miles an hour then you divide 810/45 to see how many hours that took and that would be 18 hours.

9. 1.20/8 is 0.15 and 0.15 times 17 is 2.55 then thats the cost of a 17 min call

Step-by-step explanation:

Answer:

This is for your online exam, neither why are you taking help from here, make it yourself

Answer:

D

Step-by-step explanation:

It's asking what is equivalent to 4/9

a. -4/9

b. 9/4

c. -9/4

d. 4/9

D is the correct answer

Answer:

a. -4⁄-9

b. 9/4

c. -9/4

d. -4/9

Step-by-step explanation:

Answer:

k is 10

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

because anything times zero is zero

Answer:

A Rational Number can be made by dividing an integer by an integer. (An integer itself has no fractional part.)

Answer:

Step-by-step explanation:

to find this all you need to do is find the cos per full uniform by adding 1.25m for the blouse and 1.35m for the skirt. This will equal 2.6m per full uniform. you need to then multiply this by 12 to find the total fabric needed for the 12 uniforms which will equal 31.2. you then multiply this answer by the 50 cents per meter to get the cost which will be $15.60

Answer:

2/5 are gold

Step-by-step explanation:

24 would be gold, and 24/60 can simplify to 4/10, and can them simplify again to 2/5.

:))

Answer:

[tex]\frac{2}{5}[/tex] of the stars are gold.

Step-by-step explanation:

No. of gold stars

= (60÷10)×4

= 6×4

= 24

Hence, fraction of stars that are gold = [tex]\frac{24}{60}[/tex] = [tex]\frac{2}{5}[/tex]

Answer:

484

Step-by-step explanation:

This is because 22 squared is 484.

When you take something out from under the square root symbol, you have to square it.

Thus, a number outside the square root to the left of the symbol was originally that same number squared under the square root symbol.

Thus as 22 is outside the symbol, it was originally 22 squared while under the symbol, and 22 squared is 484.

b= -1.5

4/9=2/3 +1/3b

4/9= 6/9+1/3b

-2/9=1/3b

-2/9=3/9b

/-2/9

b= - 1.5

Answer:

Exact Form:

b = -2/3

Decimal Form:

b = -0.¯6

Answer:

(x−4) (x+5) (2x+3)

Answer:

1. 452.16 square centimeters

2. 150.72 square centimeters

3. 25.12 centimeters

Step-by-step explanation:

1. the area of the circle

The area of a circle can be calculated with:

[tex]a=\pi r^2[/tex]

The area of the given circle then, is:

[tex]a=\pi 12^2\\a=144\pi\\[/tex]

or just 452.16 square centimeters.

2. the area of the minor sector

There's a convenient formula for this, but I don't remember it and you don't really need it. A full circle is 360°, and 120° is exactly 1 third of that. 1 third of the size means 1 third of the area:

[tex]a=452.16*\frac{1}{3} \\a=150.72[/tex]

or 150.72 square centimeters

3. the area of the minor arc

You can do the same thing here. The circumference of a circle is:

[tex]u=2\pi r[/tex]

So the circumference of the given circle is:

[tex]u=2\pi (12)\\u=24\pi[/tex]

or about 75.36 centimeters.

One third of that:

[tex]u=75.36*\frac{1}{3} \\u=25.12[/tex]

25.12 centimeters.

Answer:

? = 3x

Step-by-step explanation:

2(? + 5) = 6x + 10

You must plug in a number that will get the same value on both sides of the equal sign.

2*5 = 10

2*? = 6x

6x/2 = 3x

Answer:

The slope of line A is 2, because it goes up 2 units and over to the right 1, but you don't write the 1 in this case.

The slope of line B is -1/2, because it goes down 1 unit and over to the right 2 units.

For the last box: The slopes have opposite reciprocals.

Step-by-step explanation:

Hope this helps you :)

Sorry if it didn't though.

Answer:

-3 5/7

Step-by-step explanation:

Answer:

-114 is less than -1

Answer:

-114 < -1

Step-by-step explanation:

When dealing with two negative numbers, always remember that the larger the number the smaller it is, the smaller the number the larger it is

Answer:

The answer is B

Answer:

v = -24

Step-by-step explanation:

7/8 v = -21

Multiply each side by 8/7 to isolate b

8/7 * 7/8 v = -21 * 8/7

v = -24