Use the following function rule to find f(2).

Answer:

The coordinates of c are (-3,-2)

Step-by-step explanation:

We have the coordinates of a=(-7,-6) and b=(5,6). We need to find the coordinates of a point c=(x,y) such that:

[tex]d_{ac}=1/3 d_{ab}[/tex]

The coordinates x and y have the same relation as the distance:

[tex]x_{ac}=1/3x_{ab}[/tex]

Or, equivalently:

[tex]x_a-x=\frac{1}{3}(x_a-x_b)[/tex]

Multiplying by 3:

[tex]3x_a-3x=x_a-x_b[/tex]

Operating:

[tex]3x_a-x_a+x_b=3x[/tex]

[tex]2x_a+x_b=3x[/tex]

Dividing by 3:

[tex]x=\frac{2x_a+x_b}{3}[/tex]

Similarly:

[tex]y=\frac{2y_a+y_b}{3}[/tex]

Substituting:

[tex]x=\frac{2*(-7)+5}{3}=-3[/tex]

[tex]y=\frac{2*(-6)+6}{3}=-2[/tex]

The coordinates of c are (-3,-2)

Answer:

y= -5x+3

Step-by-step explanation:

Just replace the m and b by the m and b values they gave you

y=-5x+3

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

p = 2?

Step-by-step explanation:

6 - 4 = 2

4 + _ = 6 (2)

2 + 2 = 4

Answer:

Step-by-step explanation:

6p - 4 + 4p + 6 + p + 2 = 180

11p + 4 = 180

11p = 176

p = 16

Answer:

$29.52

Step-by-step explanation:

39.36/12

=3.28

3.28*9

=29.52

PLS GIVE BRAINLIEST

Answer

p(t) = 20,000^10 root of 2^t/10 root of 2^7. i think

Step-by-step explanation:

Answer:

d. The Pup Palace Kennel is never cheaper than Ngyuen's Kennel

Step-by-step explanation:

Answer:

The value of q and p is 4 and -24  respectively.

Step-by-step explanation:

Being [tex]f(x)=\frac{p+8}{x-q}[/tex] , the line x=4 is a vertical asymptote to the graph of f(x).  The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.

Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:

x - q= 0

Solving:

x= q

Being the line x=4 the vertical asymptote, then

4=q

Then the function f (x) is:

[tex]f(x)=y=\frac{p+8}{x-4}[/tex]

The y intercept is (0,4). This is, x= 0 and y=4. Replacing:

[tex]4=\frac{p+8}{0-4}[/tex]

Solving:

[tex]4=\frac{p+8}{-4}[/tex]

4*(-4)= p+8

-16= p+8

-16 - 8= p

-24= p

The value of q and p is 4 and -24  respectively.

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Mark me as brainliest

Answer:

Step-by-step explanation:

Step one:

given that the orientation of the garden is a triangular shape(it has three sides)

the perimeter is given as=46ft

one side y=11ft

the second side z= 13ft

let the third side be xft

Step two:

the expression for the perimeter = z+y+x

46=11+13+x

46=24+x

solve for x

x=46-24

x=22ft

Therefore the third side is 22ft long

Step-by-step explanation:

I dont know the answer exactly but to find the greatest common factor you have to find out like the numbers that go into the timetable your talking about like e.g a factor of 18 would be 6,3,2 etc. once you have done that between both of them then you have to find the same numbers between them. and that's the answer. hope it helped I'm not exactly good at explaining

Answer:

She rounded her estimation up.

Step-by-step explanation:

Shannon paid $57.25 for 28 pounds ($57.25÷28=2.0446428571)

If you round the answer to the nearest dollar, you'll look at the number in the tenths place (0). Zero is not 5 or greater. That makes the 2 stay the same.

Answer:

Nope not this year, hbu?

I already took it! If you need help on it Email me "kaylleissad" :D

Answer:

1024

Step-by-step explanation:

You could put 4^5 into your calculator. It’s 4*4*4*4*4= 1024

Answer:

No

Step-by-step explanation:

9=5(-5)-4 is not correct, 5(-5)-4 is actually -29 so no, the coordinates are not a solution to the equation.

Answer:

c 89+42x+42y

Step-by-step explanation:

On day 1 :

First Machine= 89 stickers

Second Machine= none

On day 2 :

First Machine= ? stickers ( if in 1min = 42stickers

x min=?

( x min/1 min × 42stickers)

=42x stickers.

Second Machine=?stickers ( if in 1min = 42stickers

y min=?

( y min/1 min × 42stickers)

=42y stickers.

Total = 89 + 42x + 42y

Answer:

980 km.

Step-by-step explanation:

The speed of the car is constant,

From the double number line:

When the time is 0 hour, the distance covered is 0 km.

When the time is 1 hour, the distance covered is 70 km.

When the time is 2 hours, the distance covered is 140 km,

which can be written as

when the time is 2 hours, the distance covered is 70 x 2 km.

Similarly,

When the time is 3 hours, the distance covered is 210= 70 x 3 km.

This can be generalized as,

When the time is n hours, the distance covered is  70 x n km, i.e

The distance traveled in n hours = 70 x n km.

So, for 14 hours, n= 14,

Hence, the distance traveled in 14 hours = 70 x 14= 980 km.

Answer:

[tex]\sqrt{49}[/tex] and 1/4 are rational numbers

Step-by-step explanation:

others are not rational numbers because the decimals goes on forever.

Ex. [tex]\sqrt{7}[/tex]=2.64575.....

4/9=0.444444444...

pi goes on forever

Answer:

[tex]y=-\frac{1}{3}x\pm c[/tex]

Step-by-step explanation:

The equation of two parallel lines is such that they have the same slope, when in written in slope intercept form.

Consider one straight line: [tex]y_{1}=mx_{1}+c_{1}[/tex].

Then the line parallel to the above line will be:[tex]y_{2}=mx_{2}+c_{2}[/tex]

The equation of a straight line provided is:

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

Then the line parallel to this line will be of the form:

[tex]y=-\frac{1}{3}x\pm c[/tex]

Answer: False

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

[tex]f(x)=3x+2\\\\f(5)=3(5)+2\\\\f(5)=15+2\\\\\boxed{f(5)=17}[/tex]

Hope this helps.

Given:

f(x) = 3x + 2

To Find:

f(5)

Answer:

C. 17

Step-by-step explanation:

Evaluate 3x + 2 where x = 5:

[tex] \longrightarrow [/tex] 3 × 5 + 2

3 × 5 = 15:

[tex] \longrightarrow [/tex] 15 + 2

15 + 2 = 17:

[tex] \longrightarrow [/tex] 17

Answer:

5=x=x-1

Step-by-step explanation:

Mutiply each equation by 5x

You will get 5=x=x-1

Answer:

Step-by-step explanation:oh

Answer:

you bad

Step-by-step explanation:

ferfrfvrgb rg bg bb

Answer:

D

Step-by-step explanation:

Interesting question.  The wording is a bit awkward. I think you have to assume the base is a square and each succeeding base is also a square.

So the first thing to do is to add the bases together.

30*30 + 23*23 + 16*16 + 9*9

Don't add these -- not yet.

Now take the height into consideration

6 *(30*30 + 23*23 + 16*16 + 9*9)

The point is that you only have to multiply by 6 once.

6*(900 +  529 + 256 + 81)

6*(1766)

10596 cubic inches

The answer is D

Answer:

half a lap per minute is the answer