Let f(x) = 5x − 6. Simplify each of the following expressions.

f(a) =

f(a + h) =

f(a + h) − f(a) = (Make sure to expand and combine like terms.)

f(a + h) − f(a)/h = (Make sure to cancel out the factor of h in the denominator.)

Answers

Answer 1

Answer:

Explanation:

in each of the following substitute x with the variables in the bracket.

f(a) = 5x - 6

= 5a - 6

f(a+h) = 5 (a + h) - 6

= 5a + 5h - 6

f(a+h) - f(a) = (5a + 5h - 6) - (5a - 6)

= 5a + 5h - 6 - 5a + 6

= 5h

(as the 5a's and 6's cancel each other out.)

f(a+h) - f(a)/h = 5a + 5h - 6 - ((5a - 6)÷h)

take l.c.m

= (5ah + 5h^2 - 6h - 5a + 6)

h


Related Questions

Samantha mixed some sugar , flour , salt , baking soda to make a cake . the total mixture was 1 1/4 cups . The mixture included 2 1/2 cups of sugar . How much of the mixture was flour , salt , and baking soda

Answers

Answer:

11/4. or im mixed form 2 3/4

Step-by-step explanation:

I hope it helps!!

Which of the following systems of equations is an example of one where elimination is the best method?

Answers

Answer:

  (d)

Step-by-step explanation:

Elimination is a good choice of solution method when the coefficient of a variable in one equation is a simple multiple of the coefficient of that same variable in the other equation. This is the case for the system in the last choice. (see attached)

__

We can consider the alternatives:

  (a) substitution for y would work well

  (b) the solution is given, no solution effort is required

  (c) substitution for y would work well

  (d) elimination would work well.

     3(2x +3y) +(-6x +y) = 3(18) +(12) . . . . . eliminates x (y=6.6)

     (2x +3y) -3(-6x +y) = (18) -3(12) . . . . . . eliminates y (x=-0.9)

What fractional parts is this ruler divided into?

thirds
fourths
halves
fifths plzz help

Answers

the ruler is divided into fourths!

there are three smaller lines, but also counting the bigger line that is a whole number makes 4.
first line = 1/4
second line = 2/4
third line = 3/4
fourth line = 4/4 or 1

Answer:

B. fourths

Step-by-step explanation:

Each interval between the whole numbers is divided into 4 equal parts.

Correct choice is B

Expand and combine like terms.

(2x3 + 4x5)2 =

Answers

Answer:

52

Step-by-step explanation:

(2x3 = 6

4x5 = 20)

(6+20) = (26)

(26)2 = 52

=52

… I don’t know what to say but the question on the photo I sent pls help me it’s due in 30 MINUTES!!!

Answers

Answer: Hope this all helps :)

Step-by-step explanation:

Identify the lower class limits, upper class limits, class
width, class midpoints, and class boundaries for the
given frequency distribution. Also identify the number of
individuals included in the summary,
Age (yr) when
award was won Frequency
5-9
31
10-14
34
15-19
14
20-24
2
25-29
5
30-34
2
35-39
2
Identify the lower class limits.

Answers

Answer:

lower class limits:

5, 10, 15, 20, 25, 30, 35

Step-by-step explanation:

Find The Value of X
A. 10
B. 14
C. 9
D. 16

Answers

Answer:

10

Step-by-step explanation:

8-6=2 so you would do 12-2

Solve the following application problem. Be sure to show your system of equations and the steps to solve the problem.

Application Problem: It takes a boat 2 hours to go 16 miles downstream with the current and 4 hours to return against the current. Find the speed of the boat in still water and the speed of the current.

Answers

Answer:

boat: 6 mphcurrent: 2 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  speed = distance/time

For boat speed b and current speed c, the speed downstream is ...

  b +c = (16 mi)/(2 h) = 8 mi/h

The speed upstream is ...

  b -c = (16 mi)/(4 h) = 4 mi/h

Adding the two equations eliminates the c term:

  2b = 12 mi/h

  b = 6 mi/h . . . . . divide by 2

Solving the second equation for c, we get ...

  c = b -4 mi/h = 6 mi/h -4 mi/h = 2 mi/h

The speed of the boat in still water is 6 mi/h; the current is 2 mi/h.

Find the 13th term of the geometric sequence 5, 10, 20, ...

Answers

5,10,20,40,80,160,320,640,1280,2560,5120,10240,20480

= 20480

why does Soto most likely include this characterization of Alfonso's mother in the story?

Answers

Answer:

To convey the sense that Alfonso is concerned about how others perceive him.

Answer:

To convey the sense that Alfonso is concerned about how others perceive him.Step-by-step explanation:

please help how to do this i need help please

Answers

Do it back words so basically it’s 6 x 1 =6 5 x 1 =5 so the answer is 5/6
The answer is 1/5

Because when you multiply 6/1 and 1/5 you get 6/5

factor the polynomial completely 6x^2-3x+2

answer choices are in photo, a,b,c or d cannnot be factored. ​

Answers

Answer:

can't be factored

answer is D

Answer: D because it cannot be fractured

Dimitri paid the same price for five different stocks. The table shows the change in the price of the stocks since he purchased them.

A 2-column table with 5 rows. Column 1 is labeled Stock with entries A, B, C, D, E. Column 2 is labeled Change in price with entries negative 4.15, positive 1.30, positive 8.75, negative 10.10, negative 3.55.

What is the magnitude of the change of Stock A?

Answers

Answer:

The answer is d on eg.2021

Step-by-step explanation:

i did the assignment

Answer:

answer D

:)

Step-by-step explanation:

(person above me is right!)

What is the value of x in the equation 3x + 2 + 3(1+x) = 23?
if u get it right in under 15 minutes i'll mark u brainllist

Answers

Answer:

3

Step-by-step explanation:

Let's start by simplifying the parenthesis. Distribute the 3 to the terms in it.

3x + 2 + 3 + 3x = 23

Simplify the like terms.

6x + 5 = 23

Isolate the x term by subtracting 5 on both sides.

6x = 18

Divide both sides by 6 to get the value of x.

x = 3

distribute the 3(1+x) to get 3+3x
the equation is now 3x+2+3x+3=23
next add like terms to get 6x+4=23
next subtract the 5 on both sides to get 6x= 18
then divide by 6 on both sides to get 3.
so the answer is 3

please need help with math probelm if do 5 star

Answers

Answer:

The cost of 50 pounds of beans is $40.

Step-by-step explanation:

First, we find the slope:

[tex]\frac{8-4}{10-5} = \frac{4}{5}[/tex]

Now we know can find the equation of the graph:

[tex]y=\frac{4}{5} x[/tex]

Instead of x, we can plug in 50:

[tex]y=\frac{4}{5} *50\\y=\frac{200}{5} \\y=40[/tex]

a figure is dilated by a factor of 3/4. by what factor will the area of the figure change

Answers

The area of the figure changes by a factor of 9/16, when the figure is dilated by a factor of 3/4

What is dilation?

When a shape is dilated, the size of the shape changes (i.e. it either compresses or enlarges)

The scale factor (k) is given as:

[tex]k = \frac 34[/tex]

The area of the shape will change by the square of the scale factor.

So, we have:

[tex]Area = k^2[/tex]

This gives

[tex]Area = (\frac 34)^2[/tex]

[tex]Area = \frac 9{16}[/tex]

Hence, the area of the figure changes by a factor of 9/16

Read more about dilation at:

https://brainly.com/question/8532602

In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle. A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x. Write and solve an equation to determine the measure of angle x.

Answers

Answer:

The value of x is 50°.

Step-by-step explanation:

We know that:

x = y2(70 + 60) + x + y = 360

Work:

2(130) + x + x = 360=> 260 + 2x = 360=> 2x = 360 - 260=> 2x = 100=> x = 50

Hence, the value of x is 50°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

x =50° , y = 50°

we know that angles on a straight line equals to 180°

here,

y + 70° + 60° = 180°   ( as lies on straight line )

y = 180° - 70° - 60°   ( changing sides, changes the sign + to - and - to positive )

y = 50°

we can see y = x as they are parallel to each other

so x = 50°

Debbie's bank offers an online bill pay service. For this, the bank charges $2.25 per month plus $0.10 per bill paid using the service. How many bills does she pay each month if the charges are always between $3.50 and $5.00? (Note: She is not allowed to pay part of a bill.)

Answers

Based on the information given, the number of bills will have to be between 13 and 28 every month.

Solving equations

Let the number of bills be represented by x.

Therefore, the equation to solve the question will be:

2.25 + (0.10 × x) = 3.50

2.25 + 0.10x = 3.50

0.10x = 3.50 - 2.25

0.10x = 1.25

x = 1.25/0.10 = 12.5 = 13

Also, 2.25 + 0.10x = 5.00

0.10x = 5.00 - 2.25

0.10x = 2.75

x = 27.5 = 28

Therefore, the number of bills will be between 13 and 28 every month.

Learn more about equations on:

https://brainly.com/question/13763238

Anna paddled 16 km up river to see her uncle, and then returned downstream to her home. The river flows at a rate of 6 km/h, and Anna paddles at a rate of 10 km/h. What was her average speed in km/h?

Answers

Anna average speed in km/h is 7.5 km per hour

Average speed

Average speed is the ratio of total distance covered to total time taken. It is given by:

Average speed = Total distance / total time

Given the distance upstream is 16 km at a rate of 6 km/h, hence:

6 = 16/tt = 2.67 hours

The distance downstream is 16 km at a rate of 10 km/h, hence:

10 = 16/tt = 1.6 hours

Total distance = 16 km + 16 km = 32 km

Total time = 2.67 + 1.6 = 4.27 hours

Average speed = 32 / 4.27 = 7.5 km per hour

Anna average speed in km/h is 7.5 km per hour

Find out mote on average speed at: https://brainly.com/question/4931057

Can someone help me please!

Answers

Answer:

A

Step-by-step explanation:

the max range on y-axis is 4 and min value on y-axis is - infinity . So A is the answer.

Triangle A is an isosceles triangle with two angles of measure x degrees and one angle of measure y degrees.

1. Find three combinations of x and y that make this sentence true.

2. Write an equation relating x and y.

3. If you were to sketch the graph of this linear equation, what would its slope be?

Answers

Answer:

See below

Step-by-step explanation:

1.

Angle combinations:

x, y , x; x, x, y;y, x, x

2.

Sum of angles:

x + x + y = 180 ⇒ 2x + y = 180

3.

Linear equation:

2x + y = 180  ⇒ y = - 2x + 180

The slope is - 2.

What is the range of (f•g)()
all real numbers excepty=3
all real numbers except y=0 all real numbers excepty=3
all real numbers

Answers

Answer:

answer is all real numbers excepty=3

Step-by-step explanation:

ez

In a triangle the base is 4/7 the height and their sum is 110cm. A square is 7/8 of the triangle. Calculate the perimeter of the square​

Answers

Answer:

60 cm

Step-by-step explanation:

Let the height is x, the the base is 4/7x.

Their sum is 110 cm:

x + 4/7x = 11011/7x = 110x = 70

The base is:

110 - 70 = 40 cm

The area of the triangle is:

A = 1/2bh = 1/2*70*40 = 1400 cm²

Area of the square:

1400*7/8 = 1225 cm²

Side of the square:

√1225 = 15 cm

Perimeter of the square:

15 cm * 4 = 60 cm

What is the value of this expression?

2/3 + (-5/7)

Answers

[tex] \frac{2}{3} + ( - \frac{5}{7} ) \\ = \frac{2 \times 7 - 5 \times 3}{21} \\ = \frac{14 - 15}{21} \\ = \frac{ - 1}{21} [/tex]

Answer:

[tex] \frac{ - 1}{21} [/tex]

Hope you could understand.

If you have any query, feel free to ask.

Monica makes tomato sauce with the plants
she grows in her garden. She uses 3 basil
leaves in her sauce foi every 8 tomatoes.
She is making a big batch of sauce with 32
tomatoes from her garden.
How many basil leaves should Monica use In
her sauce?

Answers

Answer:

12 Basil Leaves

Step-by-step explanation:

32/8=4

4*3=12

Explain how to divide an amount by 3 With the sentence starter Since division is just reverse multiplication​

Answers

Division is just reverse multiplication, just with some added parts to it. And, how do I divide the "amount of 3 with the sentence starter" when there isn't a photo or number in the question other then 3?

The sum of two numbers is 72. Their difference is 10. Find the numbers.

Answers

Answer:

80 and 8

Step-by-step explanation:

Substitute x in first equation with x=10y. So y = 8. x=80. Thus the 2 numbers are: x=80 and y=8.

PLS ANSWER FAST I WILL MARK BRAINLIST

Answers

a = 13
hope this helps

solve for x ~

13x = 169


thankyou~​

Answers

13 because you need to divide 169 by 13

The result of solving for x in the given equation: 13x = 169 is; x = 13

Solving one variable equations

The given equation is;

13x = 169.

Hence, we must get rid of the coefficient of x by dividing both sides of the equation by 13;

Therefore, x = 169/13

x = 13

Read more on solving for x;

https://brainly.com/question/9423572

please help!!!!!!!!!!

Answers

Step-by-step explanation:

Left side: 18cm

Under that: 5cm

5cm again

Perimeter = 76

Because: 20 + 18 + 18 + 5 +5 +5 +5 = 76

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