If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?

Answer:

8 units right 2 units down

Step-by-step explanation:

Answer:

 ≈ 3.4

Step-by-step explanation:

Coordinates of the point that divide segment with endpoints A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] ) in a ratio a : b are

[tex]\frac{bx_{1} +ax_{2} }{a+b}[/tex] , [tex]\frac{by_{1} +ay_{2} }{a+b}[/tex] )

A(- 4, - 7)

B(8, - 4)

Ratio 8 : 5

x-coordinate is [tex]\frac{5(-4)+8(8)}{8+5}[/tex] = [tex]\frac{44}{13}[/tex] ≈ 3.4

Answer:

1 ft / 0.3048 m

Step-by-step explanation:

Answer:

The answer x = 75

Step-by-step explanation:

A triangle's angles must add up to 180 degrees.

We already have 47 and 58 which is 105. 180 - 105 = 75.

Answer: x=3

Step-by-step explanation:

6x + 3x - x + 9 = 33

Combine like terms:

6x+3x-x=8x

The equation is now 8x+9=33

Subtract 9 on both sides:

8x+9-9=33-9

8x=24

Divide 8 on both sides:

8x/8=24/8

x=3

Answer:

-4, 3

The answer to the next question is: A (+4/3), B (+2/3), D (+2), E (+4), G (+1/3), H (+1)

Step-by-step explanation:

For edge:)

Rational root theorem is used to determine the potential roots of a function

The potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

The function is given as:

[tex]\mathbf{f(x) = 3x^2 - x - 4}[/tex]

p represents the leading coefficient, while q represents the constant term.

So, we have:

[tex]\mathbf{p = 3}[/tex]

[tex]\mathbf{q = 4}[/tex]

The factors of p and q, are:

[tex]\mathbf{p =\pm 1, \pm 3}[/tex]

[tex]\mathbf{q =\pm 1, \pm 2, \pm 4}[/tex]

So, the potential roots are:

[tex]\mathbf{Roots = \pm\frac{q}{p}}[/tex]

[tex]\mathbf{Roots = \pm\frac{\pm 1, \pm 2, \pm 4}{\pm 1, \pm 3}}[/tex]

So, we have:

[tex]\mathbf{Roots = \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

Hence, the potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

Read more about rational root theorems at:

https://brainly.com/question/9353378

Answer:

y = 50 is answers and it is alternate angle

Answer:

B

Step-by-step explanation:

The two angles are the same

since we know supplementary angles equal 180 degrees, we know that 67 plus x must equal 180 degrees, so the equation for this problem would be

67+x=180, and x is equal to 113

Answer:

[tex]\frac{x}{8}[/tex]

Step-by-step explanation:

When solving inverse functions, switch the x and y's:

x=8y

Then solve for y: (divide 8 on both sides)

[tex]\frac{x}{8}=y\\[/tex]

Answer:

Orville caught up with Wilbur in 2.5 hours

Step-by-step explanation:

Here, we want to calculate the number of hours it took for Orville to catch up to Wilbur

Mathematically,

distance = speed * time

The distance traveled before Orville restarted his own journey is ;

distance = 10 mph * 0.5 = 5 miles

(30 minutes is 30/60= 0.5 hours)

So this means that Wilbur was now 5 miles ahead of Orville

Now, let the number of hours it took to

catch up Wilbur be h

In h hours,

Wilbur would have traveled 5 miles + 10h

In this same time, Orville would have traveled

12 * h = 12h

So the distance traveled by the two will be equal at this h hour

5 + 10h = 12h

12h-10h = 5

2h = 5

h = 5/2

h = 2.5 hours

Answer:

Assuming we have the same question, the answer would be: D) h = 45tan59° ft

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

Answer:

x=3/5 y=-2.5

Step-by-step explanation:

3x-2y=5, first find the x value which is 3x get rid of the 2y by during 2 times ,then 5/3 since you can't lower it down keep it 5/3, after is 2y same thing you did for 2y to get rid of it you will do 3x, now is 5/2 to get 2.5 or 5/2.

Answer:

[tex] \frac{3x}{5} - \frac{1}{10} = \frac{x + 2}{10} - 2 \\ \frac{6x - 1 = x + 2 - 20}{10} \\ 6x - x = - 18 + 1 \\ 5x = - 17 \\ x = - \frac{17}{5} [/tex]

Answer:

x= -17/5 or x=-3.4

Step-by-step explanation:

1. multiply both sides of equation by 10 (6x-1 = x+2-20)

2, calculate the difference (6x -1=x-18)

3. move the terms ( 6x-x-1=-18)

4. collect like terms ( 5x=-18+1)

5. divide both sides (x=-17/5)

Answer:

11w + 6g ≥ 120

Step-by-step explanation:

Let's set:

w = number of hours Lauren spent washing cars

d = number of hours Lauren spent walking dogs

Lauren makes $11 per hour washing cars, thus she earns 11w in total for washing cars.

Lauren makes $6 per hour walking dogs, thus she earns 6d in total for walking dogs.

The total earnings are:

T = 11w + 6g

Lauren must earn not less than $120 this week, thus:

11w + 6g ≥ 120

This is the required inequality

Answer:

11w+6d≥120

Step-by-step explanation:

this is straghit from my delt math so it has to be right

The magical answer that you are looking for is D.

Answer: The kites are  at the same height at 15.41s

Step-by-step explanation:

Step 1

Let t represent the time in seconds.

The equation that represents when both small and large kite are at the same height is given as

3.7 + 6.2t =20.65 +5.1t

Step 2----- Solving

3.7 + 6.2t =20.65 +5.1t

Taking like terms  and subtracting

6.2t-5.1t  = 20.65- 3.7

1.1t =16.95

t = 16.95/1.1

t=15.41s

The kites are  at the same height at 15.41s

Answer:

3.8 is the answer of this question

Answer:

20x + 5 < 30

Step-by-step explanation:

To make a profit, the price on supplies must be less than the amount at which they sold their wares

Since they received $5 in tip, the amount of profit left to be accounted for is 30-5 = 25

So now, we need the smallest price at which they will sell per lemonade to make a profit

Mathematically, that will be;

20x + 5 > 30

Using this inequality X they will know the value of x that will give them profit

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{5}[/tex] + [tex]\frac{1}{2}[/tex] × [tex]\frac{2}{5}[/tex] ( perform multiplication before addition )

= [tex]\frac{3}{10}[/tex] + [tex]\frac{2}{10}[/tex]

= [tex]\frac{5}{10}[/tex] ( divide numerator/ denominator by 5 to simplify )

= [tex]\frac{1}{2}[/tex]

Answer:

0.5

Step-by-step explanation:

first put the given below:

1/2 × 3/5 + 1/2 × 2/5 = 0

second take the first and second for the first answer to make the whole answer:

((1/2 × 3)/5) = 0

( 1/2 ) × 3 = 1.5

1.5/5 = 0.3

FIRST SOLVATION ( ANSWER ): 0.3

third , after we take the first solvation the second is we need to compute the remaining given or number:

((1/2 × 2)/5) = 0

( 1/2 ) × 2 = 1

1/5 = 0.2

SECOND SOLVATION ( ANSWER ): 0.2

and the last but not the list , the last is add the first solvation and second solvation and you will see what is the answer:

0.3 + 0.2 = 0.5

FINAL ANSWER: 0.5

Answer:

7x+15y

Step-by-step explanation:

Answer:

15y+7x

Step-by-step explanation:

Simply the equation by combining like terms

Answer:

20%

Step-by-step explanation:

Given parameters:

Marked price  = Rs. 100

Selling price  = Rs. 80

Unknown:

Discount rate  = ?

Solution:

The price on the label of an article is the marked price;

   Discount amount  = Marked price - selling price

                                  = Rs. 100  - Rs. 80

                                  = Rs. 20

Discount rate  = [tex]\frac{Discount }{Marked price } x 100[/tex]  

Discount rate  = [tex]\frac{20}{100}[/tex]  x 100  = 20%

Answer: Abdul traveled 130 miles

Step-by-step explanation:

Step 1

Using the formula  to calculate how far Abdul traveled

Distance = speed x time.

Step 2---- Solving

In heavy traffic

Distance covered = speed x time = 30miles /hour x 1 hour = 30 miles

In light traffic

Distance covered = speed x time = 50miles/ hour x 2 hour = 100 miles

Total distance covered = Distance covered in heavy traffic + distance covered in light traffic = 100+ 30 = 130miles

Answer:

x = 1.6

Step-by-step explanation:

Given f(x) = 10x + 3 and f(x) = 19, then equate right sides, that is

10x + 3 = 19 ( subtract 3 from both sides )

10x = 16 ( divide both sides by 10 )

x = 1.6

Answer:

Step-by-step explanation:

Given

and

Solution

Answer:

1) Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Step-by-step explanation:

1) The function modelling the height of the balloon is h(x) = -11x + 330

Where;

x = The time of elevation of the balloon

The data for the graphing derived from Microsoft Excel are as follows

x    [tex]{}[/tex]   h(x)

0    [tex]{}[/tex]   330

5    [tex]{}[/tex]   275

10    [tex]{}[/tex]  220

15    [tex]{}[/tex]  165

20    [tex]{}[/tex]  110

25    [tex]{}[/tex]  55

30    [tex]{}[/tex]   0

Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11

2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable

Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x

Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Answer:

I had the same problem! Here is my work, pretty sure its the right answer!

Step-by-step explanation:

Answer:

y = -16

Step-by-step explanation:

y = -3(12) + 20

y = -36 + 20

y = -16

Hope this helps and pls do mark me brainliest if you can:)

Answer:

Step-by-step explanation:

Given function

Finding zero's

Zero's are

See the graph attached

Correct end behavior as per graph:

Answer:

As x approaches negative infinity, f(x) approaches negative infinity

Step-by-step explanation: Plato

Answer:

1/2

Step-by-step explanation:

(1,1) (2,3)

you have to do the difference of the x axis and y axis then divid them by each other

Answer:

109°

Step-by-step explanation:

there are two ways to slove this kind of questions.

simply,x = 64 + 45

or x = 180-(180 - 64- 45)

Answer:

Four and two hundred nine thousandths

Answer

four and two hundred nine thousandths. or, simpler: four point two hundred nine. or, even simpler: four point two zero nine.

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation: