For the function f(x)=3x-4 find f(2)

Answer:

x  

4

−5x  

2

+4

To factor the expression, solve the equation where it equals to 0.

x  

4

−5x  

2

+4=0

By Rational Root Theorem, all rational roots of a polynomial are in the form  

q

p

​  

, where p divides the constant term 4 and q divides the leading coefficient 1. List all candidates  

q

p

​  

.

±4,±2,±1

Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.

x=1

By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x  

4

−5x  

2

+4 by x−1 to get x  

3

+x  

2

−4x−4. To factor the result, solve the equation where it equals to 0.

x  

3

+x  

2

−4x−4=0

By Rational Root Theorem, all rational roots of a polynomial are in the form  

q

p

​  

, where p divides the constant term −4 and q divides the leading coefficient 1. List all candidates  

q

p

​  

.

±4,±2,±1

Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.

x=−1

By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x  

3

+x  

2

−4x−4 by x+1 to get x  

2

−4. To factor the result, solve the equation where it equals to 0.

x  

2

−4=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

​  

. Substitute 1 for a, 0 for b, and −4 for c in the quadratic formula.

x=  

2

0±  

0  

2

−4×1(−4)

​  

​  

Do the calculations.

x=  

2

0±4

​  

Solve the equation x  

2

−4=0 when ± is plus and when ± is minus.

x=−2

x=2

Rewrite the factored expression using the obtained roots.

(x−2)(x−1)(x+1)(x+2)

Answer:

he will pay 3.75 in tax

Step-by-step explanation:

first you do 50 times 0.075(which is 7.5%) to get your answer of 3.75

Answer:

its a. rhejhdhrhrjdhr

Step-by-step explanation:

If angles are equal then sides will also be equal.

Cause: Equal angles have equal sides.

You can then prove them by using SAS, SSS ASA, AAS

y = x + 3

as x increases by 1, y increases by 1 (Slope)

when x equals 0, y equals 3 (y-intercept)

Answer:

its associative property

Step-by-step explanation:

2+d=2+d

d=2

Answer:

2.5 miles

Step-by-step explanation:

64/8=20/x

8=20/x

*x    *x

8x=20

/8    /8

x=20/8

x=5/2 or 2.5

Answer:

25 pi

Step-by-step explanation:

area of circle = pi (r)^2

radius = 10/2 = 5

5×5 = 25

25 pi

Answer:

C

Step-by-step explanation:

The formula is pi(r＾2)

r=radius

=10/2

Answer:

1/50

Step-by-step explanation:

Hope this helped have a nice day!

Answer:

64

Step-by-step explanation:

2 to the sixth power would be 2 multiplied by itself 6 times

Answer:

you need to sell 60 cups

Step-by-step explanation:

48÷0.80= 60 cups

hope it helps!

please mark me brainliest

Answer:

I think its eight but I could be wrong

Answer:

27

Step-by-step explanation:

i dont know how to describe what i did but it is correct

Answer:

See explanation

Step-by-step explanation:

for -2x+4=4 the slope is y=2x-4

for -3x+2y=6 the slope is y=3/2x+3

for -3x+2y=6 the y-intercept is y=3 or (0,3)

(you can plug into desmos to check :) )

Answer:

70 miles.

Step-by-step explanation:

In this question we are given the speed of the migrating bird. If we remember the definition of speed we will remember that speed is distance the object/body traveled, divided by the time it took the object/body to travel this distance.

Solution:

Firstly we need to find out what distance will the bird travel in 1 hour.  We can easily do that science we know the distance it travels in 3 hours. So we just use the property of a fraction that states that if we multiply or divide the denominator and the numerator by the same number we will get a fraction of the same value but written a bit differently. So we divide the numerator and the denominator by 3 and get

[tex]\frac{42 miles}{3 hours}[/tex] = [tex]\frac{14 miles}{1hour}[/tex]

Now we know what distance the bird travels in one hour so we can easily figure how much the bird will travel in 5 hours by multiplying the numerator and the denominator by 5. So we do...

[tex]\frac{14 miles}{1 hour}[/tex] = [tex]\frac{70 miles}{5 hours}[/tex]

And we get that the bird will travel 70 miles in 5 hours.

Answer:

D=4

Step-by-step explanation:

Answer:

d=4

Step-by-step explanation:

5d - 3 +2d = 4d +9

7d-3=4d+9

-4d    -4d

3d-3=9

     +3   +3

3d=12

divide both sides by 3

d=4

Answer:

x=5 y=38

Step-by-step explanation:

180 degrees total minus the right angle (90) = 90... divide that by the two angels and its 45 each so for x; 45/3 = 5 for y; 45-7= 38

Answer:

y=−3x+83

x= −1 /3 y+ 83 /3

Step-by-step explanation:

right angles=90

triangles=180 degrees

180=3x+y+7+90

solve for x

3x+y+97=180

Add -y to both sides

3x+y+97+−y=180+−y

3x+97=−y+180

Add -97 to both sides

3x+97+−97=−y+180+−97

3x=−y+83

Divide by 3

x= −1 /3 y+ 83 /3

now solve for y

180=3x+y+7+90

Add -3x to both sides

3x+y+97+−3x=180+−3x

y+97=−3x+180

Add -97 to both sides

y+97+−97=−3x+180+−97

y=−3x+83

Answer:

29!

Step-by-step explanation:

tysm!

Answer:

10×30-1=299

Step-by-step explanation:

10×30=300

300-1=299

thx

Answer:I dont knwo the answer

Step-by-step explanation:tell em

Answer:

C

Step-by-step explanation:

I got it right

Answer:

72 lb bags

Step-by-step explanation:

18 / 0.25 = 72 bags :D

Answer:

Simple....

you have: one is leaking 3 gallons per week and holds 256 gallons; whereas, the other one is leaking 5 gallons per week and holds 384 gallons.

Set up both the equations....

In y=mx+b form--->>>

y=-3x+256

y=-5x+384

To figure out when they will be equal..set the equations equal to each other....(remember to isolate the variable)

-3x+256=-5x+384

-3x+256=-5x+384

     -256        -256

-3x=-5x+128

-3x=-5x+128

+5x+5x

2x=128

x=64

After 64 weeks the amount of water in both tanks will be the same.

Thus, your answer.

Answer:

14 - (5 +3) < (14 -5) + 3     <

      14  - 8     9+3

(1 + 6) + 9 = 1 + (6 +9)       =

17 - (8+4) < 17 - 8 + 4​      <

-5                       12

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

distance from the sun makes how hot or cold it is

Answer:

5/6= 0.83333333333

4/15= 0.266666666

3/5= 0.6

1 &3/4 = 1.75

1/3= 0.33333333

4/1000= 0.004

so the ones that are repeating decimals are:

5/6 , 4/15, and 1/3

Step-by-step explanation:

Answer:

It's me again!!

It's A or the one u clicked on

Step-by-step explanation:

because (2^3)-5 eqeuals 1/32768

and 1/2^15 equals to 1/32768